TSTP Solution File: SCT146+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 21:38:03 EDT 2022
% Result : Theorem 23.04s 23.24s
% Output : CNFRefutation 23.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 531
% Syntax : Number of formulae : 5509 ( 709 unt; 0 def)
% Number of atoms : 16931 (5170 equ)
% Maximal formula atoms : 118 ( 3 avg)
% Number of connectives : 18958 (7536 ~;9559 |; 465 &)
% ( 236 <=>;1162 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 24 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 276 ( 276 usr; 20 con; 0-8 aty)
% Number of variables : 21797 (1199 sgn6145 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
file('<stdin>',fact_bc) ).
fof(c_0_1,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
file('<stdin>',fact__096_I_Fp_O_Abelow_A_Ibelow_A_Ibelow_A_IP_Ap_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_J_A_058_AProf_096) ).
fof(c_0_2,axiom,
! [X16,X17,X77,X78,X79,X80,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X78),X77))
=> ( ! [X19,X20,X81,X82] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82))),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X81),X82))
=> hBOOL(hAPP(hAPP(X16,X19),X20)) ) ) )
=> hBOOL(hAPP(hAPP(X16,X80),X79)) ) ) ),
file('<stdin>',fact_converse__rtrancl__induct2) ).
fof(c_0_3,axiom,
! [X16,X17,X77,X78,X79,X80,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X80),X79))
=> ( ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ! [X81,X82] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82))),X17))
=> ( hBOOL(hAPP(hAPP(X16,X19),X20))
=> hBOOL(hAPP(hAPP(X16,X81),X82)) ) ) )
=> hBOOL(hAPP(hAPP(X16,X78),X77)) ) ) ),
file('<stdin>',fact_rtrancl__induct2) ).
fof(c_0_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
file('<stdin>',fact_ac) ).
fof(c_0_5,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
file('<stdin>',fact__096_I_Fp_O_Abelow_A_Ibelow_A_IP_Ap_J_Ac_Ab_J_Ab_Aa_J_A_058_AProf_096) ).
fof(c_0_6,axiom,
! [X17,X83,X84,X85,X61,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85) != hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83)
=> ~ ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17))) ) ) ),
file('<stdin>',fact_converse__rtranclE2) ).
fof(c_0_7,axiom,
! [X11,X12,X31,X13,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13)),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31)),X12),X11))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),X13),X31))) ),
file('<stdin>',fact_inf__Int__eq2) ).
fof(c_0_8,axiom,
! [X12,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X6,X6)),tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X6),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool),X6),c_member(tc_prod(X6,X6)))),c_Product__Type_OPair(X6,X6)))),X17)),X12))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17))) ),
file('<stdin>',fact_accp__acc__eq) ).
fof(c_0_9,axiom,
! [X48,X12,X16,X6] : c_List_Opartition(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X6),tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_COMBS(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_fun(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),c_COMBS(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_List_Olist(X6)),c_If(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(X16,X12)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_List_Olist(X6)),c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(c_List_Olist_OCons(X6),X12))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),c_COMBB(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_List_Olist(X6))),c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(c_List_Olist_OCons(X6),X12)))),c_List_Opartition(X6,X16,X48)),
file('<stdin>',fact_partition_Osimps_I2_J) ).
fof(c_0_10,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
file('<stdin>',fact_ab) ).
fof(c_0_11,axiom,
! [X31,X13,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X13,X31) ),
file('<stdin>',fact_pred__subset__eq2) ).
fof(c_0_12,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
file('<stdin>',fact__096_I_Fp_O_Abelow_A_IP_Ap_J_Ac_Ab_J_A_058_AProf_096) ).
fof(c_0_13,axiom,
! [X5,X9,X33,X14,X6,X75] :
( ! [X19,X20] :
( X75 = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)
=> hBOOL(hAPP(hAPP(c_member(X33),X9),hAPP(hAPP(X5,X19),X20))) )
=> hBOOL(hAPP(hAPP(c_member(X33),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_fun(X33,tc_HOL_Obool)),X5),X75))) ),
file('<stdin>',fact_mem__splitI2) ).
fof(c_0_14,axiom,
! [X30,X16,X27,X28,X21,X22] :
( X22 != X21
=> ( X28 != X27
=> ( X22 != X27
=> ( X21 != X28
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X16),c_Arrow__Order__Mirabelle_OProf))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X30),c_Arrow__Order__Mirabelle_OProf))
=> ( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(X16,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(X30,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(v_F,X16)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(v_F,X30))) ) ) ) ) ) ) ) ),
file('<stdin>',fact__C2_C) ).
fof(c_0_15,axiom,
! [X30,X16,X27,X28,X21,X22] :
( X22 != X21
=> ( X28 != X27
=> ( X22 != X27
=> ( X21 != X28
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X16),c_Arrow__Order__Mirabelle_OProf))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X30),c_Arrow__Order__Mirabelle_OProf))
=> ( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(X16,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(X30,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(v_F,X16)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(v_F,X30))) ) ) ) ) ) ) ) ),
file('<stdin>',fact__C1_C) ).
fof(c_0_16,axiom,
! [X61,X12,X17,X6] :
( c_List_Olistrelp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X6,X6)),tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X6),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool),X6),c_member(tc_prod(X6,X6)))),c_Product__Type_OPair(X6,X6)))),X17),X12,X61)
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X61)),c_List_Olistrel(X6,X17))) ),
file('<stdin>',fact_listrelp__listrel__eq) ).
fof(c_0_17,axiom,
! [X12,X17,X14,X6] :
( c_Predicate_ODomainP(X6,X14,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X17),X12)
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Relation_ODomain(X6,X14,X17))) ),
file('<stdin>',fact_DomainP__Domain__eq) ).
fof(c_0_18,axiom,
! [X12,X17,X14,X6] :
( c_Predicate_ORangeP(X6,X14,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X17),X12)
<=> hBOOL(hAPP(hAPP(c_member(X14),X12),c_Relation_ORange(X6,X14,X17))) ),
file('<stdin>',fact_RangeP__Range__eq) ).
fof(c_0_19,axiom,
! [X31,X13,X14,X6] :
( hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13) = hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31)
<=> X13 = X31 ),
file('<stdin>',fact_pred__equals__eq2) ).
fof(c_0_20,axiom,
! [X75,X5,X33,X14,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,tc_fun(X6,tc_HOL_Obool)),X5),X75)))
=> ~ ! [X3,X62] :
( X75 = hAPP(hAPP(c_Product__Type_OPair(X14,X33),X3),X62)
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(X5,X3),X62))) ) ),
file('<stdin>',fact_mem__splitE) ).
fof(c_0_21,axiom,
! [X17,X49,X11,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel1(X6,X17)))
=> ( ! [X3] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X3),X49)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X11)),X17)) )
=> ~ ! [X72] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X11),X72)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X72),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
file('<stdin>',fact_Cons__listrel1E2) ).
fof(c_0_22,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('<stdin>',fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096) ).
fof(c_0_23,axiom,
! [X17,X60,X50,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X12),X50)),hAPP(hAPP(c_List_Oappend(X6),X12),X60))),c_List_Olexord(X6,X17)))
=> ( ! [X19] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X19),X19)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X50),X60)),c_List_Olexord(X6,X17))) ) ),
file('<stdin>',fact_lexord__append__leftD) ).
fof(c_0_24,axiom,
! [X90,X1,X33,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X14,X33)),X1),c_FuncSet_OPi(X14,X33,X7,c_COMBK(tc_fun(X33,tc_HOL_Obool),X14,X90))))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X33)),c_FuncSet_Ocompose(X6,X14,X33,X8,X1,X2)),c_FuncSet_OPi(X6,X33,X8,c_COMBK(tc_fun(X33,tc_HOL_Obool),X6,X90)))) ) ),
file('<stdin>',fact_funcset__compose) ).
fof(c_0_25,axiom,
! [X7,X14,X1,X2,X8,X6] :
( ! [X94] :
( hBOOL(hAPP(hAPP(c_member(X6),X94),X8))
=> hAPP(X2,X94) = hAPP(X1,X94) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
<=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X1),c_FuncSet_OPi(X6,X14,X8,X7))) ) ),
file('<stdin>',fact_Pi__cong) ).
fof(c_0_26,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),hAPP(X7,X3))) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7))) ),
file('<stdin>',fact_Pi__I_H) ).
fof(c_0_27,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),hAPP(X7,X3))) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7))) ),
file('<stdin>',fact_Pi__I) ).
fof(c_0_28,axiom,
! [X17,X49,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),X49)),c_List_Olistrel1(X6,X17)))
=> ( ! [X62] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X62),X48)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X62)),X17)) )
=> ~ ! [X72] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X72)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X72)),c_List_Olistrel1(X6,X17))) ) ) ),
file('<stdin>',fact_Cons__listrel1E1) ).
fof(c_0_29,axiom,
! [X95,X96,X88,X90,X1,X33,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X14,X33)),X1),c_FuncSet_OPi(X14,X33,X7,c_COMBK(tc_fun(X33,tc_HOL_Obool),X14,X90))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X33,X88)),X96),c_FuncSet_OPi(X33,X88,X90,c_COMBK(tc_fun(X88,tc_HOL_Obool),X33,X95))))
=> c_FuncSet_Ocompose(X6,X33,X88,X8,X96,c_FuncSet_Ocompose(X6,X14,X33,X8,X1,X2)) = c_FuncSet_Ocompose(X6,X14,X88,X8,c_FuncSet_Ocompose(X14,X33,X88,X7,X96,X1),X2) ) ) ),
file('<stdin>',fact_compose__assoc) ).
fof(c_0_30,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
<=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49)
& ! [X110] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X110,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),c_List_Onth(X6,X48,X110)),c_List_Onth(X6,X49,X110))),X17)) ) ) ),
file('<stdin>',fact_listrel__iff__nth) ).
fof(c_0_31,axiom,
! [X17,X49,X11,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel(X6,X17)))
=> ~ ! [X3,X64] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X3),X64)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X11)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X64),X49)),c_List_Olistrel(X6,X17))) ) ) ),
file('<stdin>',fact_listrel__Cons2) ).
fof(c_0_32,axiom,
! [X41] :
( c_Arrow__Order__Mirabelle_OIIA(X41)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X42] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X42),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X42,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X42))) ) ) ) ) ),
file('<stdin>',fact_IIA__def) ).
fof(c_0_33,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),X7)) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7)))) ),
file('<stdin>',fact_funcsetI) ).
fof(c_0_34,axiom,
! [X8,X6] : c_Relation_OId__on(X6,X8) = hAPP(c_Product__Type_Oprod_Oprod__case(X6,X6,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X6,tc_HOL_Obool,tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_HOL_Obool),tc_fun(X6,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X6),c_fconj)),c_fequal))),X8)),
file('<stdin>',fact_Id__on__def_H) ).
fof(c_0_35,axiom,
! [X17,X48,X49,X11,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)),X48)),c_List_Olistrel(X6,X17)))
=> ~ ! [X62,X63] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X62),X63)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X11),X62)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X49),X63)),c_List_Olistrel(X6,X17))) ) ) ),
file('<stdin>',fact_listrel__Cons1) ).
fof(c_0_36,axiom,
! [X11,X12,X17,X6] :
( ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X19),X20)),X17))
| X19 = X20
| hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X20),X19)),X17)) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
| X12 = X11
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X12)),c_List_Olexord(X6,X17))) ) ),
file('<stdin>',fact_lexord__linear) ).
fof(c_0_37,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_COMBS(X6,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X6),c_fconj),X8)),X7)),X12))
<=> ( hBOOL(hAPP(c_List_Olistsp(X6,X8),X12))
& hBOOL(hAPP(c_List_Olistsp(X6,X7),X12)) ) ),
file('<stdin>',fact_listsp__conj__eq) ).
fof(c_0_38,axiom,
! [X7,X8,X86,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X86),c_List_Olists(X6,X8)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X86),c_List_Olists(X6,X7)))
=> hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X7))),X86)) ) ),
file('<stdin>',fact_lists__IntI) ).
fof(c_0_39,axiom,
! [X17,X11,X49,X12,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6)))),hAPP(hAPP(c_List_Oappend(X6),X49),hAPP(hAPP(c_List_Olist_OCons(X6),X11),c_List_Olist_ONil(X6))))),c_List_Olistrel1(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
& X12 = X11 )
| ( X48 = X49
& hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17)) ) ) ),
file('<stdin>',fact_snoc__listrel1__snoc__iff) ).
fof(c_0_40,axiom,
! [X90,X7,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),hAPP(X7,X3),hAPP(X90,X3)) )
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X6,X14),tc_HOL_Obool),c_FuncSet_OPi(X6,X14,X8,X7),c_FuncSet_OPi(X6,X14,X8,X90)) ),
file('<stdin>',fact_Pi__mono) ).
fof(c_0_41,axiom,
! [X35,X17,X27,X28,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X28),X27))),c_Wellfounded_Olex__prod(X6,X14,X17,X35)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X28)),X17))
| ( X22 = X28
& hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X14)),hAPP(hAPP(c_Product__Type_OPair(X14,X14),X21),X27)),X35)) ) ) ),
file('<stdin>',fact_in__lex__prod) ).
fof(c_0_42,axiom,
! [X40,X41] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X41),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( X19 != X20
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X40)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3))) ) ) )
=> c_Arrow__Order__Mirabelle_Odictator(X41,X40) ) ),
file('<stdin>',fact_dictatorI) ).
fof(c_0_43,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> ~ ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X56,X65] :
( X48 = hAPP(hAPP(c_List_Oappend(X6),X56),hAPP(hAPP(c_List_Olist_OCons(X6),X3),X65))
=> X49 != hAPP(hAPP(c_List_Oappend(X6),X56),hAPP(hAPP(c_List_Olist_OCons(X6),X62),X65)) ) ) ),
file('<stdin>',fact_listrel1E) ).
fof(c_0_44,axiom,
! [X12,X31,X13,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31)),X12))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X13),X31))) ),
file('<stdin>',fact_inf__Int__eq) ).
fof(c_0_45,axiom,
! [X90,X1,X33,X7,X8,X2,X6,X14] :
( c_Set_Oimage(X14,X6,X2,X8) = X7
=> ( c_Set_Oimage(X6,X33,X1,X7) = X90
=> c_Set_Oimage(X14,X33,c_FuncSet_Ocompose(X14,X6,X33,X8,X1,X2),X8) = X90 ) ),
file('<stdin>',fact_surj__compose) ).
fof(c_0_46,axiom,
! [X2,X1,X14,X33,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hAPP(c_FuncSet_Ocompose(X6,X33,X14,X8,X1,X2),X12) = hAPP(X1,hAPP(X2,X12)) ),
file('<stdin>',fact_compose__eq) ).
fof(c_0_47,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____))) ),
file('<stdin>',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096) ).
fof(c_0_48,axiom,
! [X11,X12,X50,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X50),hAPP(hAPP(c_List_Olist_OCons(X6),X22),X12))),hAPP(hAPP(c_List_Oappend(X6),X50),hAPP(hAPP(c_List_Olist_OCons(X6),X21),X11)))),c_List_Olexord(X6,X17))) ),
file('<stdin>',fact_lexord__append__left__rightI) ).
fof(c_0_49,axiom,
! [X6,X13,X11,X15,X14,X12,X16] :
( hBOOL(hAPP(X16,X12))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X14)),hAPP(hAPP(c_Product__Type_OPair(X14,X14),X15),X11)),hAPP(X13,X12)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X15)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11))),c_Recdef_Osame__fst(X6,X14,X16,X13))) ) ),
file('<stdin>',fact_same__fstI) ).
fof(c_0_50,axiom,
! [X75,X1,X87,X88,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X88,X87,tc_prod(X14,X33)),X1),X75)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X88,X87,X6),hAPP(hAPP(c_COMBB(tc_fun(X87,tc_prod(X14,X33)),tc_fun(X87,X6),X88),hAPP(c_COMBB(tc_prod(X14,X33),X6,X87),hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2))),X1)),X75),
file('<stdin>',fact_split__twice) ).
fof(c_0_51,axiom,
! [X7,X8,X114,X14,X6] : c_Product__Type_OSigma(X6,X14,X114,hAPP(hAPP(c_COMBS(X6,tc_fun(X14,tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_HOL_Obool),tc_fun(tc_fun(X14,tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,tc_HOL_Obool))),X8)),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X114,X8)),c_Product__Type_OSigma(X6,X14,X114,X7)),
file('<stdin>',fact_Sigma__Int__distrib2) ).
fof(c_0_52,axiom,
! [X55,X54,X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = hAPP(hAPP(c_List_Oappend(X6),X54),X55)
<=> ? [X56] :
( ( X48 = hAPP(hAPP(c_List_Oappend(X6),X54),X56)
& hAPP(hAPP(c_List_Oappend(X6),X56),X49) = X55 )
| ( hAPP(hAPP(c_List_Oappend(X6),X48),X56) = X54
& X49 = hAPP(hAPP(c_List_Oappend(X6),X56),X55) ) ) ),
file('<stdin>',fact_append__eq__append__conv2) ).
fof(c_0_53,axiom,
! [X17,X14,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X21),c_Relation_ORange(X14,X6,X17)))
=> ~ ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X6)),hAPP(hAPP(c_Product__Type_OPair(X14,X6),X3),X21)),X17)) ),
file('<stdin>',fact_RangeE) ).
fof(c_0_54,axiom,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ORange(X14,X6,X17)))
<=> ? [X62] : hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X6)),hAPP(hAPP(c_Product__Type_OPair(X14,X6),X62),X22)),X17)) ),
file('<stdin>',fact_Range__iff) ).
fof(c_0_55,axiom,
! [X17,X49,X11,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olex(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) )
| ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olex(X6,X17))) ) ) ),
file('<stdin>',fact_Cons__in__lex) ).
fof(c_0_56,axiom,
! [X17,X49,X11,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel1(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
& X48 = X49 )
| ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
file('<stdin>',fact_Cons__listrel1__Cons) ).
fof(c_0_57,axiom,
! [X17,X11,X21,X12,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X22),X12)),hAPP(hAPP(c_List_Olist_OCons(X6),X21),X11))),c_List_Olexord(X6,X17)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
| ( X22 = X21
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17))) ) ) ),
file('<stdin>',fact_lexord__cons__cons) ).
fof(c_0_58,axiom,
! [X49,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ) ),
file('<stdin>',fact_rtrancl__listrel1__ConsI2) ).
fof(c_0_59,axiom,
! [X49,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel(X6,X17))) ) ),
file('<stdin>',fact_listrel_OCons) ).
fof(c_0_60,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
file('<stdin>',fact_assms_I1_J) ).
fof(c_0_61,axiom,
! [X41] :
( c_Arrow__Order__Mirabelle_Ounanimity(X41)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X4)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3))) ) ) ),
file('<stdin>',fact_unanimity__def) ).
fof(c_0_62,axiom,
! [X7,X8,X6] : c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X7))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X6),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X6))),c_List_Olists(X6,X8))),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X6))),c_List_Olists(X6,X7))),
file('<stdin>',fact_lists__Int__eq) ).
fof(c_0_63,axiom,
! [X54,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X49),X54)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X54)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))) ) ),
file('<stdin>',fact_listrel__rtrancl__trans) ).
fof(c_0_64,axiom,
! [X12,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X49))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
file('<stdin>',fact_rtrancl__listrel1__ConsI1) ).
fof(c_0_65,axiom,
! [X9,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X9)),c_List_Olexord(X6,X17)))
=> ( c_Relation_Otrans(X6,X17)
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X9)),c_List_Olexord(X6,X17))) ) ) ),
file('<stdin>',fact_lexord__trans) ).
fof(c_0_66,axiom,
! [X57,X58,X17,X49,X48,X6] :
( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
& X58 = X57 )
| ( X48 = X49
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X58),X57)),c_List_Olistrel1(X6,X17))) ) )
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),X58)),hAPP(hAPP(c_List_Oappend(X6),X49),X57))),c_List_Olistrel1(X6,X17))) ),
file('<stdin>',fact_append__listrel1I) ).
fof(c_0_67,axiom,
! [X12,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X49))),c_List_Olistrel1(X6,X17))) ),
file('<stdin>',fact_listrel1I2) ).
fof(c_0_68,axiom,
! [X12,X17,X60,X50,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X50),X60)),c_List_Olexord(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X12),X50)),hAPP(hAPP(c_List_Oappend(X6),X12),X60))),c_List_Olexord(X6,X17))) ),
file('<stdin>',fact_lexord__append__leftI) ).
fof(c_0_69,axiom,
! [X11,X12,X10,X21,X22] :
( X22 != X21
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X10),X22),X21)))
<=> ( X12 != X11
& ( X11 = X22
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X21)),X10)) )
& ( X11 != X22
=> ( ( X12 = X22
=> ( X11 = X21
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X21),X11)),X10)) ) )
& ( X12 != X22
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ) ) ) ) ),
file('<stdin>',fact_in__below) ).
fof(c_0_70,axiom,
! [X11,X12,X10,X21,X22] :
( X22 != X21
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Oabove(X10,X22,X21)))
<=> ( X12 != X11
& ( X12 = X21
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X11)),X10)) )
& ( X12 != X21
=> ( ( X11 = X21
=> ( X12 = X22
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X22)),X10)) ) )
& ( X11 != X21
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ) ) ) ) ),
file('<stdin>',fact_in__above) ).
fof(c_0_71,axiom,
! [X11,X17,X6] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X11)),c_List_Olexord(X6,X17))) ),
file('<stdin>',fact_lexord__irreflexive) ).
fof(c_0_72,axiom,
! [X1,X2,X14,X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X1,X22) ),
file('<stdin>',fact_override__on__apply__in) ).
fof(c_0_73,axiom,
! [X1,X2,X14,X8,X22,X6] :
( ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X1,X22) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X2,X22) ) ),
file('<stdin>',fact_override__on__def) ).
fof(c_0_74,axiom,
! [X1,X2,X14,X8,X22,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X2,X22) ),
file('<stdin>',fact_override__on__apply__notin) ).
fof(c_0_75,axiom,
! [X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X48))),c_List_Olistrel1(X6,X17))) ),
file('<stdin>',fact_listrel1I1) ).
fof(c_0_76,axiom,
! [X9,X11,X12,X17,X6] :
( c_Relation_Osingle__valued(X6,X6,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X9)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X11),X9)),c_Transitive__Closure_Ortrancl(X6,X17)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X9),X11)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ) ) ),
file('<stdin>',fact_single__valued__confluent) ).
fof(c_0_77,axiom,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17)))
=> ~ ! [X62] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X62)),X17)) ),
file('<stdin>',fact_DomainE) ).
fof(c_0_78,axiom,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17)))
<=> ? [X62] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X62)),X17)) ),
file('<stdin>',fact_Domain__iff) ).
fof(c_0_79,axiom,
! [X54,X49,X48,X12,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) = hAPP(hAPP(c_List_Oappend(X6),X49),X54)
<=> ( ( X49 = c_List_Olist_ONil(X6)
& hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) = X54 )
| ? [X59] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X12),X59) = X49
& X48 = hAPP(hAPP(c_List_Oappend(X6),X59),X54) ) ) ),
file('<stdin>',fact_Cons__eq__append__conv) ).
fof(c_0_80,axiom,
! [X48,X12,X54,X49,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X49),X54) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)
<=> ( ( X49 = c_List_Olist_ONil(X6)
& X54 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) )
| ? [X59] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X59)
& hAPP(hAPP(c_List_Oappend(X6),X59),X54) = X48 ) ) ),
file('<stdin>',fact_append__eq__Cons__conv) ).
fof(c_0_81,axiom,
! [X48,X6] : c_List_Orotate1(X6,X48) = c_List_Olist_Olist__case(tc_List_Olist(X6),X6,c_List_Olist_ONil(X6),hAPP(hAPP(c_COMBB(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),X6),hAPP(c_COMBC(tc_List_Olist(X6),tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Oappend(X6))),hAPP(hAPP(c_COMBC(X6,tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_OCons(X6)),c_List_Olist_ONil(X6))),X48),
file('<stdin>',fact_rotate1__def) ).
fof(c_0_82,axiom,
! [X12,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),X12))
<=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X12),c_List_Olists(X6,X8))) ),
file('<stdin>',fact_listsp__lists__eq) ).
fof(c_0_83,axiom,
! [X101,X2,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101))))
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
| ( hAPP(X2,X12) = hAPP(X2,X11)
& hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,X101))) ) ) ),
file('<stdin>',fact_in__measures_I2_J) ).
fof(c_0_84,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
file('<stdin>',fact_rtrancl__trans) ).
fof(c_0_85,axiom,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> hBOOL(hAPP(hAPP(X8,X12),X11)) ),
file('<stdin>',fact_inf2D1) ).
fof(c_0_86,axiom,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> hBOOL(hAPP(hAPP(X7,X12),X11)) ),
file('<stdin>',fact_inf2D2) ).
fof(c_0_87,axiom,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> ~ ( hBOOL(hAPP(hAPP(X8,X12),X11))
=> ~ hBOOL(hAPP(hAPP(X7,X12),X11)) ) ),
file('<stdin>',fact_inf2E) ).
fof(c_0_88,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
file('<stdin>',fact_converse__rtrancl__into__rtrancl) ).
fof(c_0_89,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
file('<stdin>',fact_rtrancl_Ortrancl__into__rtrancl) ).
fof(c_0_90,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
file('<stdin>',fact_rtrancl__listrel1__if__listrel) ).
fof(c_0_91,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))) ),
file('<stdin>',fact_listrel__reflcl__if__listrel1) ).
fof(c_0_92,axiom,
! [X7,X8,X2,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Set_Oimage(X14,X6,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Set_Oimage(X14,X6,X2,X8)),c_Set_Oimage(X14,X6,X2,X7))),
file('<stdin>',fact_image__Int__subset) ).
fof(c_0_93,axiom,
! [X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olex(X6,X17)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X12) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X11) ) ),
file('<stdin>',fact_lexord__lex) ).
fof(c_0_94,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
<=> ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X66)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X66)),X17)) ) ) ),
file('<stdin>',fact_trans__def) ).
fof(c_0_95,axiom,
! [X5,X21,X22,X17,X6] :
( c_Relation_Otrans(X6,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),X17)) ) ) ),
file('<stdin>',fact_transD) ).
fof(c_0_96,axiom,
! [X101,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,X101)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101)))) ) ),
file('<stdin>',fact_measures__lesseq) ).
fof(c_0_97,axiom,
! [X2,X33,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X8))
=> hBOOL(hAPP(hAPP(c_member(X33),hAPP(hAPP(X2,X22),X21)),c_Set_Oimage(tc_prod(X6,X14),X33,hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X2),X8))) ),
file('<stdin>',fact_pair__imageI) ).
fof(c_0_98,axiom,
! [X48,X6,X16,X111] :
( ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X111)
=> hBOOL(hAPP(X16,c_List_Onth(X6,X48,X4))) )
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48))) ) ),
file('<stdin>',fact_length__takeWhile__less__P__nth) ).
fof(c_0_99,axiom,
! [X49,X57,X58,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> ( X48 = hAPP(hAPP(c_List_Oappend(X6),X58),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X57))
=> ( X49 = hAPP(hAPP(c_List_Oappend(X6),X58),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X57))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
file('<stdin>',fact_listrel1I) ).
fof(c_0_100,axiom,
! [X8,X2,X14,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),c_Set_Oimage(X14,X6,X2,X8)))
<=> ? [X3] :
( hBOOL(hAPP(hAPP(c_member(X14),X3),X8))
& X9 = hAPP(X2,X3) ) ),
file('<stdin>',fact_image__iff) ).
fof(c_0_101,axiom,
! [X11,X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( X12 != X11
=> ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X11),X12)),X10)) ) ) ),
file('<stdin>',fact_notin__Lin__iff) ).
fof(c_0_102,axiom,
! [X21,X22,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),X10))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X21),X22)),X10)) ) ),
file('<stdin>',fact_Lin__irrefl) ).
fof(c_0_103,axiom,
! [X17,X14,X6] :
( ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X66)),X17))
=> X62 = X66 ) )
=> c_Relation_Osingle__valued(X6,X14,X17) ),
file('<stdin>',fact_single__valuedI) ).
fof(c_0_104,axiom,
! [X17,X14,X6] :
( c_Relation_Osingle__valued(X6,X14,X17)
<=> ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X66)),X17))
=> X62 = X66 ) ) ),
file('<stdin>',fact_single__valued__def) ).
fof(c_0_105,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21))
=> hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
file('<stdin>',fact_curryE) ).
fof(c_0_106,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21))
=> hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
file('<stdin>',fact_curryD) ).
fof(c_0_107,axiom,
! [X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Set_Oimage(X6,X14,X2,X8),X7) ),
file('<stdin>',fact_funcset__image) ).
fof(c_0_108,axiom,
! [X8,X2,X14,X7,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,c_Set_Oimage(X14,X6,X2,X8))
<=> ? [X99] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X99,X8)
& X7 = c_Set_Oimage(X14,X6,X2,X99) ) ),
file('<stdin>',fact_subset__image__iff) ).
fof(c_0_109,axiom,
! [X5,X21,X22,X13,X33,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_fun(X33,tc_HOL_Obool)),X13),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X5))
=> hBOOL(hAPP(hAPP(hAPP(X13,X22),X21),X5)) ),
file('<stdin>',fact_splitD_H) ).
fof(c_0_110,axiom,
! [X90,X7,X8,X14,X6] : c_Product__Type_OSigma(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90))),c_Product__Type_OSigma(X6,X14,X7,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90))),
file('<stdin>',fact_Times__Int__distrib1) ).
fof(c_0_111,axiom,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),X7)) ) ),
file('<stdin>',fact_funcset__mem) ).
fof(c_0_112,axiom,
! [X9,X11,X12,X17,X14,X6] :
( c_Relation_Osingle__valued(X6,X14,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X9)),X17))
=> X11 = X9 ) ) ),
file('<stdin>',fact_single__valuedD) ).
fof(c_0_113,axiom,
! [X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
<=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X3),hAPP(X1,X3)) ) ),
file('<stdin>',fact_le__fun__def) ).
fof(c_0_114,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
& hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ) ),
file('<stdin>',fact_mem__Sigma__iff) ).
fof(c_0_115,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ),
file('<stdin>',fact_SigmaD2) ).
fof(c_0_116,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ) ),
file('<stdin>',fact_SigmaE2) ).
fof(c_0_117,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____))) ),
file('<stdin>',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096) ).
fof(c_0_118,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ),
file('<stdin>',fact_SigmaD1) ).
fof(c_0_119,axiom,
! [X8,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))
=> ( X22 = X21
| hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ) ) ),
file('<stdin>',fact_trancl__subset__Sigma__aux) ).
fof(c_0_120,axiom,
! [X17,X11,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X11)),c_List_Olexord(X6,X17)))
<=> ? [X19,X3] : X11 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X3) ),
file('<stdin>',fact_lexord__Nil__left) ).
fof(c_0_121,axiom,
! [X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X10)),c_Arrow__Order__Mirabelle_OProf)) ),
file('<stdin>',fact_const__Lin__Prof) ).
fof(c_0_122,axiom,
! [X13,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X13))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omlex__prod(X6,X2,X13))) ) ),
file('<stdin>',fact_mlex__leq) ).
fof(c_0_123,axiom,
! [X14,X6,X7,X11,X12,X8] :
( hBOOL(hAPP(hAPP(X8,X12),X11))
=> ( hBOOL(hAPP(hAPP(X7,X12),X11))
=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11)) ) ),
file('<stdin>',fact_inf2I) ).
fof(c_0_124,axiom,
! [X7,X8,X14,X90,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X90))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X14,X6),tc_HOL_Obool),c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)),c_Product__Type_OSigma(X14,X6,X7,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X8,X7) ) ),
file('<stdin>',fact_Times__subset__cancel2) ).
fof(c_0_125,axiom,
! [X11,X12,X13,X14,X6] :
( c_FunDef_Oin__rel(X6,X14,X13,X12,X11)
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),X13)) ),
file('<stdin>',fact_in__rel__def) ).
fof(c_0_126,axiom,
! [X71,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olexn(X6,X17,X71)))
=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = X71
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) = X71 ) ),
file('<stdin>',fact_lexn__length) ).
fof(c_0_127,axiom,
! [X13,X12,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X13)))
=> ~ ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X66),X12)),X13))
=> hBOOL(hAPP(hAPP(c_member(X6),X66),c_Wellfounded_Oacc(X6,X13))) ) ),
file('<stdin>',fact_not__acc__down) ).
fof(c_0_128,axiom,
! [X17,X12,X6] :
( ! [X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X12)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X62),c_Wellfounded_Oacc(X6,X17))) )
=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17))) ),
file('<stdin>',fact_acc_OaccI) ).
fof(c_0_129,axiom,
! [X17,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X22)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X3),c_Wellfounded_Oacc(X6,X17))) ) ),
file('<stdin>',fact_acc_Osimps) ).
fof(c_0_130,axiom,
! [X2,X33,X14,X6] : hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,X33),X6),hAPP(c_COMBB(tc_prod(X6,X14),X33,X14),X2)),c_Product__Type_OPair(X6,X14))) = X2,
file('<stdin>',fact_split__eta) ).
fof(c_0_131,axiom,
! [X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X12) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X11) ),
file('<stdin>',fact_rtrancl__listrel1__eq__len) ).
fof(c_0_132,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X48)),c_List_Olistrel(X6,X17)))
=> X48 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_listrel__Nil1) ).
fof(c_0_133,axiom,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X48)),c_List_Olistrel1(X6,X17))),
file('<stdin>',fact_not__Nil__listrel1) ).
fof(c_0_134,axiom,
! [X17,X49,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X49)),c_List_Olex(X6,X17))),
file('<stdin>',fact_Nil__notin__lex) ).
fof(c_0_135,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olistrel(X6,X17)))
=> X48 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_listrel__Nil2) ).
fof(c_0_136,axiom,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olistrel1(X6,X17))),
file('<stdin>',fact_not__listrel1__Nil) ).
fof(c_0_137,axiom,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olex(X6,X17))),
file('<stdin>',fact_Nil2__notin__lex) ).
fof(c_0_138,axiom,
! [X17,X12,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),c_List_Olist_ONil(X6))),c_List_Olexord(X6,X17))),
file('<stdin>',fact_lexord__Nil__right) ).
fof(c_0_139,axiom,
! [X8,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_Product__Type_OSigma(tc_List_Olist(X6),tc_List_Olist(X6),c_List_Olists(X6,X8),c_COMBK(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_List_Olist(X6),c_List_Olists(X6,X8)))) ),
file('<stdin>',fact_listrel__subset) ).
fof(c_0_140,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) ),
file('<stdin>',fact_listrel__eq__len) ).
fof(c_0_141,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) ),
file('<stdin>',fact_listrel1__eq__len) ).
fof(c_0_142,axiom,
! [X14,X6,X16] :
( ! [X18] : hBOOL(hAPP(X16,X18))
<=> ! [X19,X20] : hBOOL(hAPP(X16,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))) ),
file('<stdin>',fact_split__paired__All) ).
fof(c_0_143,axiom,
! [X21,X22,X14,X6,X2] :
( hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)))
=> hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21)) ),
file('<stdin>',fact_curryI) ).
fof(c_0_144,axiom,
! [X7,X8,X6,X14] : c_Set_Oimage(tc_prod(X14,X6),tc_prod(X6,X14),hAPP(c_Product__Type_Oprod_Oprod__case(X14,X6,tc_prod(X6,X14)),hAPP(c_COMBC(X6,X14,tc_prod(X6,X14)),c_Product__Type_OPair(X6,X14))),c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X7))) = c_Product__Type_OSigma(X6,X14,X7,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X8)),
file('<stdin>',fact_swap__product) ).
fof(c_0_145,axiom,
! [X17,X6] :
( ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X66)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X66)),X17)) ) )
=> c_Relation_Otrans(X6,X17) ),
file('<stdin>',fact_transI) ).
fof(c_0_146,axiom,
! [X17,X6] :
( c_Nitpick_Orefl_H(X6,X17)
<=> ! [X3] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17)) ),
file('<stdin>',fact_Nitpick_Orefl_H__def) ).
fof(c_0_147,axiom,
! [X33,X14,X21,X22,X5,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(X5,X22),X21)))
=> hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,tc_fun(X6,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)))) ),
file('<stdin>',fact_mem__splitI) ).
fof(c_0_148,axiom,
! [X17,X12,X6,X11] :
( ? [X20,X66] : X11 = hAPP(hAPP(c_List_Olist_OCons(X6),X20),X66)
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),hAPP(hAPP(c_List_Oappend(X6),X12),X11))),c_List_Olexord(X6,X17))) ),
file('<stdin>',fact_lexord__append__rightI) ).
fof(c_0_149,axiom,
! [X7,X8,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ORange(X14,X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X14,X6),tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Relation_ORange(X14,X6,X8)),c_Relation_ORange(X14,X6,X7))),
file('<stdin>',fact_Range__Int__subset) ).
fof(c_0_150,axiom,
! [X7,X8,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ODomain(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Relation_ODomain(X6,X14,X8)),c_Relation_ODomain(X6,X14,X7))),
file('<stdin>',fact_Domain__Int__subset) ).
fof(c_0_151,axiom,
! [X48,X16,X6] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ~ hBOOL(hAPP(X16,c_List_Onth(X6,X48,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48))))) ),
file('<stdin>',fact_nth__length__takeWhile) ).
fof(c_0_152,axiom,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),hAPP(X7,X12))) ) ),
file('<stdin>',fact_Pi__mem) ).
fof(c_0_153,axiom,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),hAPP(X7,X12)))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X12),X8)) ) ),
file('<stdin>',fact_PiE) ).
fof(c_0_154,axiom,
! [X7,X21,X14,X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> ( hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7))) ) ),
file('<stdin>',fact_SigmaI) ).
fof(c_0_155,axiom,
! [X31,X13,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X13,X31) ),
file('<stdin>',fact_pred__subset__eq) ).
fof(c_0_156,axiom,
! [X101,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101)))) ),
file('<stdin>',fact_measures__less) ).
fof(c_0_157,axiom,
! [X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Omktop(X10,X9)))
<=> ( X12 != X9
& ( X11 = X9
=> X12 != X11 )
& ( X11 != X9
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ),
file('<stdin>',fact_in__mktop) ).
fof(c_0_158,axiom,
! [X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Omkbot(X10,X9)))
<=> ( X11 != X9
& ( X12 = X9
=> X12 != X11 )
& ( X12 != X9
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ),
file('<stdin>',fact_in__mkbot) ).
fof(c_0_159,axiom,
! [X90,X113,X114,X14,X6] : c_Product__Type_OSigma(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X114),X113),X90) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X114,X90)),c_Product__Type_OSigma(X6,X14,X113,X90)),
file('<stdin>',fact_Sigma__Int__distrib1) ).
fof(c_0_160,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X4))) ),
file('<stdin>',fact_iff) ).
fof(c_0_161,axiom,
! [X10,X11,X12] :
( X12 != X11
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X10),X12),X11)),c_Arrow__Order__Mirabelle_OLin)) ) ),
file('<stdin>',fact_below__Lin) ).
fof(c_0_162,axiom,
! [X17,X22,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X22)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17))) ) ),
file('<stdin>',fact_acc__downwards__aux) ).
fof(c_0_163,axiom,
! [X21,X17,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X22)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17))) ) ),
file('<stdin>',fact_acc__downwards) ).
fof(c_0_164,axiom,
! [X40,X41] :
( c_Arrow__Order__Mirabelle_Odictator(X41,X40)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> hAPP(X41,X3) = hAPP(X3,X40) ) ),
file('<stdin>',fact_dictator__def) ).
fof(c_0_165,axiom,
! [X22,X17,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17))) ) ),
file('<stdin>',fact_acc__downward) ).
fof(c_0_166,axiom,
! [X11,X12,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,c_List_Olist_ONil(tc_fun(X6,tc_Nat_Onat))))),
file('<stdin>',fact_in__measures_I1_J) ).
fof(c_0_167,axiom,
! [X11,X13,X12,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X12),c_Relation_ODomain(X6,X6,X13)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X13)))
<=> X12 = X11 ) ),
file('<stdin>',fact_Not__Domain__rtrancl) ).
fof(c_0_168,axiom,
! [X10,X11,X12] :
( X12 != X11
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X10,X12,X11)),c_Arrow__Order__Mirabelle_OLin)) ) ),
file('<stdin>',fact_above__Lin) ).
fof(c_0_169,axiom,
! [X17,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17))) ),
file('<stdin>',fact_DomainI) ).
fof(c_0_170,axiom,
! [X17,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X14),X21),c_Relation_ORange(X6,X14,X17))) ),
file('<stdin>',fact_RangeI) ).
fof(c_0_171,axiom,
! [X8,X6] : hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X6)),c_COMBI(X6)),c_FuncSet_OPi(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))),
file('<stdin>',fact_funcset__id) ).
fof(c_0_172,axiom,
! [X17,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olist_ONil(X6))),c_List_Olistrel(X6,X17))),
file('<stdin>',fact_listrel_ONil) ).
fof(c_0_173,axiom,
! [X8,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Relation_OId__on(X6,X8)))
<=> ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(X6),X12),X8)) ) ),
file('<stdin>',fact_Id__on__iff) ).
fof(c_0_174,axiom,
! [X2,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omeasure(X6,X2)))
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11)) ),
file('<stdin>',fact_in__measure) ).
fof(c_0_175,axiom,
! [X17,X48,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X48)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))),
file('<stdin>',fact_listrel__rtrancl__refl) ).
fof(c_0_176,axiom,
! [X17,X6] :
( c_Relation_Oirrefl(X6,X17)
<=> ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17)) ),
file('<stdin>',fact_irrefl__def) ).
fof(c_0_177,axiom,
! [X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X10,X12)),c_Arrow__Order__Mirabelle_OLin)) ),
file('<stdin>',fact_mkbot__Lin) ).
fof(c_0_178,axiom,
! [X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X10,X12)),c_Arrow__Order__Mirabelle_OLin)) ),
file('<stdin>',fact_mktop__Lin) ).
fof(c_0_179,axiom,
! [X6,X48] :
( X48 != c_List_Olist_ONil(X6)
=> ( c_List_Odistinct(X6,X48)
=> c_List_OtakeWhile(X6,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),hAPP(hAPP(c_COMBC(X6,X6,tc_HOL_Obool),c_fequal),c_List_Olast(X6,X48))),X48) = c_List_Obutlast(X6,X48) ) ),
file('<stdin>',fact_takeWhile__not__last) ).
fof(c_0_180,axiom,
! [X48,X17,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ) ),
file('<stdin>',fact_Cons__acc__listrel1I) ).
fof(c_0_181,axiom,
! [X8,X1,X33,X2,X6,X14] : c_Set_Oimage(X14,X6,X2,c_Set_Oimage(X33,X14,X1,X8)) = c_Set_Oimage(X33,X6,hAPP(hAPP(c_COMBB(X14,X6,X33),X2),X1),X8),
file('<stdin>',fact_image__image) ).
fof(c_0_182,axiom,
! [X7,X86,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),X86))
=> ( hBOOL(hAPP(c_List_Olistsp(X6,X7),X86))
=> hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)),X86)) ) ),
file('<stdin>',fact_listsp__infI) ).
fof(c_0_183,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X2),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)))
=> hBOOL(hAPP(hAPP(X2,X22),X21)) ),
file('<stdin>',fact_splitD) ).
fof(c_0_184,axiom,
! [X7,X8,X14,X90,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X90))
=> ( c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)) = c_Product__Type_OSigma(X14,X6,X7,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90))
<=> X8 = X7 ) ),
file('<stdin>',fact_Times__eq__cancel2) ).
fof(c_0_185,axiom,
! [X21,X22,X32,X6,X33,X14] : c_Product__Type_Oprod_Oprod__rec(X14,X33,X6,X32,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X32,X22),X21),
file('<stdin>',fact_prod_Orecs) ).
fof(c_0_186,axiom,
! [X13,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omlex__prod(X6,X2,X13))) ),
file('<stdin>',fact_mlex__less) ).
fof(c_0_187,axiom,
! [X2,X14,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),c_Set_Oimage(X6,X14,X2,X8))) ),
file('<stdin>',fact_imageI) ).
fof(c_0_188,axiom,
! [X37,X22,X47,X32,X14,X6] : c_List_Olist_Olist__case(X6,X14,X32,X47,hAPP(hAPP(c_List_Olist_OCons(X14),X22),X37)) = hAPP(hAPP(X47,X22),X37),
file('<stdin>',fact_list_Osimps_I5_J) ).
fof(c_0_189,axiom,
! [X14,X2,X21,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> ( X21 = hAPP(X2,X12)
=> hBOOL(hAPP(hAPP(c_member(X14),X21),c_Set_Oimage(X6,X14,X2,X8))) ) ),
file('<stdin>',fact_rev__image__eqI) ).
fof(c_0_190,axiom,
! [X6,X8,X14,X12,X2,X21] :
( X21 = hAPP(X2,X12)
=> ( hBOOL(hAPP(hAPP(c_member(X14),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Set_Oimage(X14,X6,X2,X8))) ) ),
file('<stdin>',fact_image__eqI) ).
fof(c_0_191,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
file('<stdin>',fact__096P_H_A_058_AProf_096) ).
fof(c_0_192,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
file('<stdin>',fact__096P_A_058_AProf_096) ).
fof(c_0_193,axiom,
! [X8,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),X49)),c_List_Olists(X6,X8)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,X8)))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X49),c_List_Olists(X6,X8))) ) ),
file('<stdin>',fact_append__in__lists__conv) ).
fof(c_0_194,axiom,
! [X8,X6,X21,X22] :
( X22 = X21
=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Relation_OId__on(X6,X8))) ) ),
file('<stdin>',fact_Id__on__eqI) ).
fof(c_0_195,axiom,
! [X7,X14,X8,X98,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X98,X8)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X6,X14),tc_HOL_Obool),c_FuncSet_OPi(X6,X14,X8,X7),c_FuncSet_OPi(X6,X14,X98,X7)) ),
file('<stdin>',fact_Pi__anti__mono) ).
fof(c_0_196,axiom,
! [X21,X22,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ocurry(X14,X33,X6,X2),X22),X21) = hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)),
file('<stdin>',fact_curry__conv) ).
fof(c_0_197,axiom,
! [X11,X12,X5,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ocurry(X14,X33,X6,X5),X12),X11) = hAPP(X5,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X12),X11)),
file('<stdin>',fact_curry__def) ).
fof(c_0_198,axiom,
! [X47,X32,X14,X6] : c_List_Olist_Olist__case(X6,X14,X32,X47,c_List_Olist_ONil(X14)) = X32,
file('<stdin>',fact_list_Osimps_I4_J) ).
fof(c_0_199,axiom,
! [X2,X14,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Set_Oimage(X6,X14,X2,X8),c_Set_Oimage(X6,X14,X2,X7)) ),
file('<stdin>',fact_image__mono) ).
fof(c_0_200,axiom,
! [X8,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),c_List_Olists(X6,X8)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,X8))) ) ),
file('<stdin>',fact_Cons__in__lists__iff) ).
fof(c_0_201,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ),
file('<stdin>',fact_IntD2) ).
fof(c_0_202,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X8)) ),
file('<stdin>',fact_IntD1) ).
fof(c_0_203,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
& hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
file('<stdin>',fact_Int__iff) ).
fof(c_0_204,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
file('<stdin>',fact_IntE) ).
fof(c_0_205,axiom,
! [X90,X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)),X90) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X90)),
file('<stdin>',fact_Int__assoc) ).
fof(c_0_206,axiom,
! [X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X5),c_Relation_OId__on(X6,X8)))
=> ~ ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> X5 != hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3) ) ),
file('<stdin>',fact_Id__onE) ).
fof(c_0_207,axiom,
! [X31,X13,X6] :
( hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13) = hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31)
<=> X13 = X31 ),
file('<stdin>',fact_pred__equals__eq) ).
fof(c_0_208,axiom,
! [X17,X22,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X22)),c_Transitive__Closure_Ortrancl(X6,X17))),
file('<stdin>',fact_rtrancl_Ortrancl__refl) ).
fof(c_0_209,axiom,
! [X25,X26] :
( X26 != X25
=> ? [X29] : c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X26),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X25),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X29),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))) ),
file('<stdin>',fact_third__alt) ).
fof(c_0_210,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X7))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7))) ) ),
file('<stdin>',fact_IntI) ).
fof(c_0_211,axiom,
! [X14,X6,X21,X22,X32] :
( hBOOL(hAPP(hAPP(X32,X22),X21))
=> hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X32),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
file('<stdin>',fact_prod__caseI) ).
fof(c_0_212,axiom,
! [X14,X6,X21,X22,X2] :
( hBOOL(hAPP(hAPP(X2,X22),X21))
=> hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X2),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
file('<stdin>',fact_splitI) ).
fof(c_0_213,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> hBOOL(hAPP(X8,X12)) ),
file('<stdin>',fact_inf1D1) ).
fof(c_0_214,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> hBOOL(hAPP(X7,X12)) ),
file('<stdin>',fact_inf1D2) ).
fof(c_0_215,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> ~ ( hBOOL(hAPP(X8,X12))
=> ~ hBOOL(hAPP(X7,X12)) ) ),
file('<stdin>',fact_inf1E) ).
fof(c_0_216,axiom,
! [X67,X68,X69,X70,X17,X6] :
( c_List_Olistrelp(X6,X17,hAPP(hAPP(c_List_Olist_OCons(X6),X70),X69),hAPP(hAPP(c_List_Olist_OCons(X6),X68),X67))
<=> ( hBOOL(hAPP(hAPP(X17,X70),X68))
& c_List_Olistrelp(X6,X17,X69,X67) ) ),
file('<stdin>',fact_listrelp_Oequations_I2_J) ).
fof(c_0_217,axiom,
! [X49,X48,X6,X11,X12,X17] :
( hBOOL(hAPP(hAPP(X17,X12),X11))
=> ( c_List_Olistrelp(X6,X17,X48,X49)
=> c_List_Olistrelp(X6,X17,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)) ) ),
file('<stdin>',fact_listrelp_OCons) ).
fof(c_0_218,axiom,
! [X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X22),c_List_Olists(X6,X8)))
<=> ( X22 = c_List_Olist_ONil(X6)
| ? [X19,X76] :
( X22 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X76)
& hBOOL(hAPP(hAPP(c_member(X6),X19),X8))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X76),c_List_Olists(X6,X8))) ) ) ),
file('<stdin>',fact_lists_Osimps) ).
fof(c_0_219,axiom,
! [X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Relation_OId__on(X6,X8),c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8))),
file('<stdin>',fact_Id__on__subset__Times) ).
fof(c_0_220,axiom,
! [X21,X22] :
( X22 != X21
=> ? [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),X3)) ) ),
file('<stdin>',fact_complete__Lin) ).
fof(c_0_221,axiom,
! [X48,X12,X2,X6,X14] : c_List_Omaps(X14,X6,X2,hAPP(hAPP(c_List_Olist_OCons(X14),X12),X48)) = hAPP(hAPP(c_List_Oappend(X6),hAPP(X2,X12)),c_List_Omaps(X14,X6,X2,X48)),
file('<stdin>',fact_maps__simps_I1_J) ).
fof(c_0_222,axiom,
! [X95,X7,X90,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X90)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X95)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X90),X95)) ) ),
file('<stdin>',fact_Int__mono) ).
fof(c_0_223,axiom,
! [X17,X75,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X75),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X75),c_Transitive__Closure_Ortrancl(X6,X17))) ),
file('<stdin>',fact_r__into__rtrancl) ).
fof(c_0_224,axiom,
! [X90,X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X90)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X90)),
file('<stdin>',fact_Int__left__commute) ).
fof(c_0_225,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,c_Wellfounded_Oacc(X6,X17)))) ),
file('<stdin>',fact_lists__accI) ).
fof(c_0_226,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,c_Wellfounded_Oacc(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
file('<stdin>',fact_lists__accD) ).
fof(c_0_227,axiom,
! [X35,X17,X6] :
( c_Relation_Otrans(X6,X17)
=> ( c_Relation_Otrans(X6,X35)
=> c_Relation_Otrans(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X6),tc_HOL_Obool)),X17),X35)) ) ),
file('<stdin>',fact_trans__Int) ).
fof(c_0_228,axiom,
! [X49,X11,X48,X16,X6] :
( c_List_OdropWhile(X6,X16,X48) = hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)
<=> ( X48 = hAPP(hAPP(c_List_Oappend(X6),c_List_OtakeWhile(X6,X16,X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))
& ~ hBOOL(hAPP(X16,X11)) ) ),
file('<stdin>',fact_dropWhile__eq__Cons__conv) ).
fof(c_0_229,axiom,
! [X6,X7,X12,X8] :
( hBOOL(hAPP(X8,X12))
=> ( hBOOL(hAPP(X7,X12))
=> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12)) ) ),
file('<stdin>',fact_inf1I) ).
fof(c_0_230,axiom,
! [X48,X16,X6,X111] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)))
=> c_List_Onth(X6,c_List_OtakeWhile(X6,X16,X48),X111) = c_List_Onth(X6,X48,X111) ),
file('<stdin>',fact_takeWhile__nth) ).
fof(c_0_231,axiom,
! [X45,X46,X38,X39,X6] : c_List_Osplice(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X46),X45)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),hAPP(hAPP(c_List_Olist_OCons(X6),X46),c_List_Osplice(X6,X38,X45))),
file('<stdin>',fact_splice_Osimps_I3_J) ).
fof(c_0_232,axiom,
~ ! [X29] : ~ c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X29),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
file('<stdin>',fact__096_B_Bthesis_O_A_I_B_Bc_O_Adistinct_A_091a_M_Ab_M_Ac_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) ).
fof(c_0_233,axiom,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
file('<stdin>',fact_dist) ).
fof(c_0_234,axiom,
! [X2,X33,X14,X6] : hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),c_Product__Type_Ocurry(X6,X14,X33,X2)) = X2,
file('<stdin>',fact_split__curry) ).
fof(c_0_235,axiom,
! [X7,X8,X90,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,X8)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) ) ),
file('<stdin>',fact_Int__greatest) ).
fof(c_0_236,axiom,
! [X22,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(X17,X3),X22))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X3)) ) ),
file('<stdin>',fact_accp_Oequations) ).
fof(c_0_237,axiom,
! [X22,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(X17,X3),X22))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X3)) ) ),
file('<stdin>',fact_accp_Osimps) ).
fof(c_0_238,axiom,
! [X13,X97,X16,X6,X33,X14] : hAPP(hAPP(hAPP(c_COMBS(X14,X33,X6),X16),X97),X13) = hAPP(hAPP(X16,X13),hAPP(X97,X13)),
file('<stdin>',help_c__COMBS__1) ).
fof(c_0_239,axiom,
! [X73,X14,X74,X6] :
( c_Relation_Otrans(X6,X74)
=> ( c_Relation_Otrans(X14,X73)
=> c_Relation_Otrans(tc_prod(X6,X14),c_Wellfounded_Olex__prod(X6,X14,X74,X73)) ) ),
file('<stdin>',fact_trans__lex__prod) ).
fof(c_0_240,axiom,
! [X68,X17,X14,X6] :
( c_Predicate_ORangeP(X6,X14,X17,X68)
<=> ? [X19] : hBOOL(hAPP(hAPP(X17,X19),X68)) ),
file('<stdin>',fact_RangeP_Oequations) ).
fof(c_0_241,axiom,
! [X6,X49,X48] :
( X48 = X49
<=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49)
& ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> c_List_Onth(X6,X48,X4) = c_List_Onth(X6,X49,X4) ) ) ),
file('<stdin>',fact_list__eq__iff__nth__eq) ).
fof(c_0_242,axiom,
! [X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),
file('<stdin>',fact_Int__left__absorb) ).
fof(c_0_243,axiom,
! [X7,X8,X6] : c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X6),tc_HOL_Obool)),c_List_Olistsp(X6,X8)),c_List_Olistsp(X6,X7)),
file('<stdin>',fact_listsp__inf__eq) ).
fof(c_0_244,axiom,
! [X13,X97,X16,X6,X33,X14] : hAPP(hAPP(hAPP(c_COMBC(X14,X33,X6),X16),X97),X13) = hAPP(hAPP(X16,X13),X97),
file('<stdin>',help_c__COMBC__1) ).
fof(c_0_245,axiom,
! [X13,X97,X16,X33,X6,X14] : hAPP(hAPP(hAPP(c_COMBB(X14,X6,X33),X16),X97),X13) = hAPP(X16,hAPP(X97,X13)),
file('<stdin>',help_c__COMBB__1) ).
fof(c_0_246,axiom,
! [X49,X48,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),hAPP(hAPP(c_List_Oappend(X6),X48),X49)))
<=> ( hBOOL(hAPP(c_List_Olistsp(X6,X8),X48))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X49)) ) ),
file('<stdin>',fact_append__in__listsp__conv) ).
fof(c_0_247,axiom,
! [X68,X70,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),hAPP(hAPP(c_List_Olist_OCons(X6),X70),X68)))
<=> ( hBOOL(hAPP(X8,X70))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X68)) ) ),
file('<stdin>',fact_listsp_Oequations_I2_J) ).
fof(c_0_248,axiom,
! [X11,X49,X12,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6))) = hAPP(hAPP(c_List_Oappend(X6),X49),hAPP(hAPP(c_List_Olist_OCons(X6),X11),c_List_Olist_ONil(X6)))
<=> ( X48 = X49
& X12 = X11 ) ),
file('<stdin>',fact_append1__eq__conv) ).
fof(c_0_249,axiom,
! [X5,X33,X14,X6,X89,X75] :
( X75 = X89
=> hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X5),X75) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X5),X89) ),
file('<stdin>',fact_split__weak__cong) ).
fof(c_0_250,axiom,
! [X22,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),X22))
<=> ( X22 = c_List_Olist_ONil(X6)
| ? [X19,X76] :
( X22 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X76)
& hBOOL(hAPP(X8,X19))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X76)) ) ) ),
file('<stdin>',fact_listsp_Osimps) ).
fof(c_0_251,axiom,
! [X35,X17,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ODomain(X6,X14,X17),c_Relation_ODomain(X6,X14,X35)) ),
file('<stdin>',fact_Domain__mono) ).
fof(c_0_252,axiom,
! [X2,X33,X14,X6] : c_Product__Type_Ocurry(X6,X14,X33,hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X2)) = X2,
file('<stdin>',fact_curry__split) ).
fof(c_0_253,axiom,
! [X48,X6] :
( c_List_Odistinct(X6,X48)
<=> ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ! [X112] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X112,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( X4 != X112
=> c_List_Onth(X6,X48,X4) != c_List_Onth(X6,X48,X112) ) ) ) ),
file('<stdin>',fact_distinct__conv__nth) ).
fof(c_0_254,axiom,
! [X111,X40,X48,X6] :
( c_List_Odistinct(X6,X48)
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( c_List_Onth(X6,X48,X40) = c_List_Onth(X6,X48,X111)
<=> X40 = X111 ) ) ) ),
file('<stdin>',fact_nth__eq__iff__index__eq) ).
fof(c_0_255,axiom,
! [X31,X13,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X13,X31)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X31,c_Transitive__Closure_Ortrancl(X6,X13))
=> c_Transitive__Closure_Ortrancl(X6,X31) = c_Transitive__Closure_Ortrancl(X6,X13) ) ),
file('<stdin>',fact_rtrancl__subset) ).
fof(c_0_256,axiom,
! [X21,X22,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X2,X22),X21),
file('<stdin>',fact_split__conv) ).
fof(c_0_257,axiom,
! [X21,X22,X32,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X32),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X32,X22),X21),
file('<stdin>',fact_prod_Osimps_I2_J) ).
fof(c_0_258,axiom,
! [X21,X22,X5,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ointernal__split(X14,X33,X6),X5),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X5,X22),X21),
file('<stdin>',fact_internal__split__conv) ).
fof(c_0_259,axiom,
! [X16,X71,X102] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> ( ( X102 = X71
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X102)
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> hBOOL(hAPP(hAPP(X16,X71),X102)) ) ) ),
file('<stdin>',fact_nat__less__cases) ).
fof(c_0_260,axiom,
! [X12,X1,X2,X14,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,X6)),X2),X1),X12) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(X2,X12)),hAPP(X1,X12)) ),
file('<stdin>',fact_inf__apply) ).
fof(c_0_261,axiom,
! [X12,X1,X2,X14,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,X6)),X2),X1),X12) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(X2,X12)),hAPP(X1,X12)) ),
file('<stdin>',fact_inf__fun__def) ).
fof(c_0_262,axiom,
! [X86,X48,X6,X12,X16] :
( ~ hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X86))) = c_List_OtakeWhile(X6,X16,X48) ),
file('<stdin>',fact_takeWhile__tail) ).
fof(c_0_263,axiom,
! [X100,X25,X92,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X92)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X100)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X92),X100)) ) ) ),
file('<stdin>',fact_inf__mono) ).
fof(c_0_264,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel1(X6,X17),c_List_Olistrel1(X6,X35)) ),
file('<stdin>',fact_listrel1__mono) ).
fof(c_0_265,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_List_Olistrel(X6,X35)) ),
file('<stdin>',fact_listrel__mono) ).
fof(c_0_266,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Transitive__Closure_Ortrancl(X6,X35))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X6,X17),c_Transitive__Closure_Ortrancl(X6,X35)) ),
file('<stdin>',fact_rtrancl__subset__rtrancl) ).
fof(c_0_267,axiom,
! [X92,X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)),X92) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X92)) ),
file('<stdin>',fact_inf_Oassoc) ).
fof(c_0_268,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)),X91) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ),
file('<stdin>',fact_inf__sup__aci_I2_J) ).
fof(c_0_269,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)),X91) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ),
file('<stdin>',fact_inf__assoc) ).
fof(c_0_270,axiom,
! [X45,X38,X39,X6] : hAPP(hAPP(c_List_Oappend(X6),hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)),X45) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),hAPP(hAPP(c_List_Oappend(X6),X38),X45)),
file('<stdin>',fact_append__Cons) ).
fof(c_0_271,axiom,
! [X52,X45,X38,X6] : hAPP(hAPP(c_List_Oappend(X6),hAPP(hAPP(c_List_Oappend(X6),X38),X45)),X52) = hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Oappend(X6),X45),X52)),
file('<stdin>',fact_append__assoc) ).
fof(c_0_272,axiom,
! [X11,X12,X97,X16,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),X16,X97)
=> ( hBOOL(hAPP(hAPP(X16,X12),X11))
=> hBOOL(hAPP(hAPP(X97,X12),X11)) ) ),
file('<stdin>',fact_predicate2D) ).
fof(c_0_273,axiom,
! [X97,X14,X6,X11,X12,X16] :
( hBOOL(hAPP(hAPP(X16,X12),X11))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),X16,X97)
=> hBOOL(hAPP(hAPP(X97,X12),X11)) ) ),
file('<stdin>',fact_rev__predicate2D) ).
fof(c_0_274,axiom,
! [X45,X39,X38,X6] : c_List_Onth(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),X45)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38)) = X39,
file('<stdin>',fact_nth__append__length) ).
fof(c_0_275,axiom,
! [X5,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
file('<stdin>',fact_psubsetD) ).
fof(c_0_276,axiom,
! [X12,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
file('<stdin>',fact_set__mp) ).
fof(c_0_277,axiom,
! [X7,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
file('<stdin>',fact_set__rev__mp) ).
fof(c_0_278,axiom,
! [X12,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
file('<stdin>',fact_in__mono) ).
fof(c_0_279,axiom,
! [X5,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
file('<stdin>',fact_subsetD) ).
fof(c_0_280,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X6,X17),c_Transitive__Closure_Ortrancl(X6,X35)) ),
file('<stdin>',fact_rtrancl__mono) ).
fof(c_0_281,axiom,
! [X14,X6,X21,X22,X17] :
( hBOOL(hAPP(hAPP(X17,X22),X21))
=> c_Predicate_ODomainP(X6,X14,X17,X22) ),
file('<stdin>',fact_DomainP_Ointros) ).
fof(c_0_282,axiom,
! [X14,X6,X21,X22,X17] :
( hBOOL(hAPP(hAPP(X17,X22),X21))
=> c_Predicate_ORangeP(X6,X14,X17,X21) ),
file('<stdin>',fact_RangeP_Ointros) ).
fof(c_0_283,axiom,
! [X48,X16,X6] : hAPP(hAPP(c_List_Oappend(X6),c_List_OtakeWhile(X6,X16,X48)),c_List_OdropWhile(X6,X16,X48)) = X48,
file('<stdin>',fact_takeWhile__dropWhile__id) ).
fof(c_0_284,axiom,
! [X48,X6,X12,X16] :
( ( hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_OtakeWhile(X6,X16,X48)) )
& ( ~ hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = c_List_Olist_ONil(X6) ) ),
file('<stdin>',fact_takeWhile_Osimps_I2_J) ).
fof(c_0_285,axiom,
! [X7,X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X7),
file('<stdin>',fact_Int__lower2) ).
fof(c_0_286,axiom,
! [X7,X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X8),
file('<stdin>',fact_Int__lower1) ).
fof(c_0_287,axiom,
! [X17,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel1(X6,c_Transitive__Closure_Ortrancl(X6,X17)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))),
file('<stdin>',fact_listrel1__rtrancl__subset__rtrancl__listrel1) ).
fof(c_0_288,axiom,
! [X39,X38,X6] : c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)))) = X38,
file('<stdin>',fact_butlast__snoc) ).
fof(c_0_289,axiom,
! [X39,X38,X6] : c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)))) = X39,
file('<stdin>',fact_last__snoc) ).
fof(c_0_290,axiom,
! [X35,X17,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X17,X35)
=> ( c_Relation_Osingle__valued(X6,X14,X35)
=> c_Relation_Osingle__valued(X6,X14,X17) ) ),
file('<stdin>',fact_single__valued__subset) ).
fof(c_0_291,axiom,
! [X48,X16,X6] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OdropWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48)),
file('<stdin>',fact_length__dropWhile__le) ).
fof(c_0_292,axiom,
! [X48,X16,X6] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48)),
file('<stdin>',fact_length__takeWhile__le) ).
fof(c_0_293,axiom,
! [X22,X21,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X21))
=> ( hBOOL(hAPP(hAPP(X17,X22),X21))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22)) ) ),
file('<stdin>',fact_accp__downward) ).
fof(c_0_294,axiom,
! [X9,X11,X12,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X11),X9))
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& c_Orderings_Oord__class_Oless__eq(X6,X12,X9) ) ) ),
file('<stdin>',fact_le__inf__iff) ).
fof(c_0_295,axiom,
! [X25,X26,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X26)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X25)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)) ) ) ),
file('<stdin>',fact_le__infI) ).
fof(c_0_296,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X91)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ) ) ),
file('<stdin>',fact_inf__greatest) ).
fof(c_0_297,axiom,
! [X73,X74,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X74,X73)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Wellfounded_Oacc(X6,X73),c_Wellfounded_Oacc(X6,X74)) ),
file('<stdin>',fact_acc__subset) ).
fof(c_0_298,axiom,
! [X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> hAPP(hAPP(c_List_Oappend(X6),c_List_Obutlast(X6,X38)),hAPP(hAPP(c_List_Olist_OCons(X6),c_List_Olast(X6,X38)),c_List_Olist_ONil(X6))) = X38 ),
file('<stdin>',fact_append__butlast__last__id) ).
fof(c_0_299,axiom,
! [X73,X74,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X6,tc_HOL_Obool)),X74,X73)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Wellfounded_Oaccp(X6,X73),c_Wellfounded_Oaccp(X6,X74)) ),
file('<stdin>',fact_accp__subset) ).
fof(c_0_300,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
file('<stdin>',fact_psubset__trans) ).
fof(c_0_301,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
file('<stdin>',fact_psubset__subset__trans) ).
fof(c_0_302,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
file('<stdin>',fact_subset__psubset__trans) ).
fof(c_0_303,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
file('<stdin>',fact_subset__trans) ).
fof(c_0_304,axiom,
! [X92,X26,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X92)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X92)) ),
file('<stdin>',fact_inf_Oleft__commute) ).
fof(c_0_305,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X91)) ),
file('<stdin>',fact_inf__sup__aci_I3_J) ).
fof(c_0_306,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X91)) ),
file('<stdin>',fact_inf__left__commute) ).
fof(c_0_307,axiom,
! [X25,X26,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25))
=> ~ ( c_Orderings_Oord__class_Oless__eq(X6,X39,X26)
=> ~ c_Orderings_Oord__class_Oless__eq(X6,X39,X25) ) ) ),
file('<stdin>',fact_le__infE) ).
fof(c_0_308,axiom,
! [X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,X14),X2,X1)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
& ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X1,X2) ) ) ),
file('<stdin>',fact_less__fun__def) ).
fof(c_0_309,axiom,
! [X17,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))),
file('<stdin>',fact_listrel__subset__rtrancl__listrel1) ).
fof(c_0_310,axiom,
! [X27,X28,X21,X22,X14,X6] :
( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21) = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X28),X27)
<=> ( X22 = X28
& X21 = X27 ) ),
file('<stdin>',fact_Pair__eq) ).
fof(c_0_311,axiom,
! [X23,X24,X25,X26,X14,X6] :
( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X26),X25) = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X24),X23)
=> ~ ( X26 = X24
=> X25 != X23 ) ),
file('<stdin>',fact_Pair__inject) ).
fof(c_0_312,axiom,
! [X39,X45,X38,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X45))
=> X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X45) ),
file('<stdin>',fact_impossible__Cons) ).
fof(c_0_313,axiom,
! [X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X8),
file('<stdin>',fact_Int__commute) ).
fof(c_0_314,axiom,
! [X38,X39,X14,X6] :
( c_List_Orotate1(X6,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6)
& c_List_Orotate1(X14,hAPP(hAPP(c_List_Olist_OCons(X14),X39),X38)) = hAPP(hAPP(c_List_Oappend(X14),X38),hAPP(hAPP(c_List_Olist_OCons(X14),X39),c_List_Olist_ONil(X14))) ),
file('<stdin>',fact_rotate__simps) ).
fof(c_0_315,axiom,
! [X49,X12,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6))) = X49
<=> ( X49 != c_List_Olist_ONil(X6)
& c_List_Obutlast(X6,X49) = X48
& c_List_Olast(X6,X49) = X12 ) ),
file('<stdin>',fact_snoc__eq__iff__butlast) ).
fof(c_0_316,axiom,
! [X12,X6,X7,X8] :
( X8 = X7
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
file('<stdin>',fact_eqset__imp__iff) ).
fof(c_0_317,axiom,
! [X8,X6,X11,X12] :
( X12 = X11
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(hAPP(c_member(X6),X11),X8)) ) ),
file('<stdin>',fact_eqelem__imp__iff) ).
fof(c_0_318,axiom,
! [X8,X6,X21,X22] :
( X22 = X21
=> ( hBOOL(hAPP(hAPP(c_member(X6),X21),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ) ),
file('<stdin>',fact_eq__mem__trans) ).
fof(c_0_319,axiom,
! [X5,X6,X7,X8] :
( X8 = X7
=> ( ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) )
=> ~ ( ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ) ),
file('<stdin>',fact_equalityCE) ).
fof(c_0_320,axiom,
! [X52,X38,X45,X53,X39,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X39),X53) = X45
=> ( X38 = hAPP(hAPP(c_List_Oappend(X6),X53),X52)
=> hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38) = hAPP(hAPP(c_List_Oappend(X6),X45),X52) ) ),
file('<stdin>',fact_Cons__eq__appendI) ).
fof(c_0_321,axiom,
! [X51,X45,X52,X53,X38,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X38),X53) = X52
=> ( X45 = hAPP(hAPP(c_List_Oappend(X6),X53),X51)
=> hAPP(hAPP(c_List_Oappend(X6),X38),X45) = hAPP(hAPP(c_List_Oappend(X6),X52),X51) ) ),
file('<stdin>',fact_append__eq__appendI) ).
fof(c_0_322,axiom,
! [X8,X7,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = X7 ),
file('<stdin>',fact_Int__absorb1) ).
fof(c_0_323,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = X8 ),
file('<stdin>',fact_Int__absorb2) ).
fof(c_0_324,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),c_List_Olists(X6,X8),c_List_Olists(X6,X7)) ),
file('<stdin>',fact_lists__mono) ).
fof(c_0_325,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),c_List_Olistsp(X6,X8),c_List_Olistsp(X6,X7)) ),
file('<stdin>',fact_listsp__mono) ).
fof(c_0_326,axiom,
! [X17,X6] : c_List_Olistrelp(X6,X17,c_List_Olist_ONil(X6),c_List_Olist_ONil(X6)),
file('<stdin>',fact_listrelp_Oequations_I1_J) ).
fof(c_0_327,axiom,
! [X17,X6] : c_List_Olistrelp(X6,X17,c_List_Olist_ONil(X6),c_List_Olist_ONil(X6)),
file('<stdin>',fact_listrelp_ONil) ).
fof(c_0_328,axiom,
! [X48,X6,X12,X16] :
( ( hBOOL(hAPP(X16,X12))
=> c_List_OdropWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = c_List_OdropWhile(X6,X16,X48) )
& ( ~ hBOOL(hAPP(X16,X12))
=> c_List_OdropWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) ) ),
file('<stdin>',fact_dropWhile_Osimps_I2_J) ).
fof(c_0_329,axiom,
! [X2,X6,X14] : c_List_Omaps(X14,X6,X2,c_List_Olist_ONil(X14)) = c_List_Olist_ONil(X6),
file('<stdin>',fact_maps__simps_I2_J) ).
fof(c_0_330,axiom,
! [X93,X6] : c_Set_Oimage(X6,X6,c_COMBI(X6),X93) = X93,
file('<stdin>',fact_image__ident) ).
fof(c_0_331,axiom,
! [X26,X39,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X39)
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
file('<stdin>',fact_less__infI2) ).
fof(c_0_332,axiom,
! [X25,X39,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X39)
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
file('<stdin>',fact_less__infI1) ).
fof(c_0_333,axiom,
! [X25,X39,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X39)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
file('<stdin>',fact_le__infI1) ).
fof(c_0_334,axiom,
! [X26,X39,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X39)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
file('<stdin>',fact_le__infI2) ).
fof(c_0_335,axiom,
! [X6,X7,X8] :
( X8 = X7
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
& c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ) ),
file('<stdin>',fact_set__eq__subset) ).
fof(c_0_336,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8)
=> X8 = X7 ) ),
file('<stdin>',fact_equalityI) ).
fof(c_0_337,axiom,
! [X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),hAPP(c_fequal,X11)))
<=> X12 = X11 ),
file('<stdin>',fact_eq__mem) ).
fof(c_0_338,axiom,
! [X12,X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
=> c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X12),hAPP(X1,X12)) ) ),
file('<stdin>',fact_le__funE) ).
fof(c_0_339,axiom,
! [X12,X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
=> c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X12),hAPP(X1,X12)) ) ),
file('<stdin>',fact_le__funD) ).
fof(c_0_340,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
file('<stdin>',fact_xt1_I10_J) ).
fof(c_0_341,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
file('<stdin>',fact_order__less__trans) ).
fof(c_0_342,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
file('<stdin>',fact_xt1_I8_J) ).
fof(c_0_343,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
file('<stdin>',fact_order__le__less__trans) ).
fof(c_0_344,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
file('<stdin>',fact_xt1_I7_J) ).
fof(c_0_345,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
file('<stdin>',fact_order__less__le__trans) ).
fof(c_0_346,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X91)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X91) ) ) ),
file('<stdin>',fact_order__trans) ).
fof(c_0_347,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X91,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X91,X39) ) ) ),
file('<stdin>',fact_xt1_I6_J) ).
fof(c_0_348,axiom,
! [X8,X6] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olists(X6,X8))),
file('<stdin>',fact_lists_ONil) ).
fof(c_0_349,axiom,
! [X107,X108,X109] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X109,X108)
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X108,X107)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X109,X107) ) ),
file('<stdin>',fact_le__trans) ).
fof(c_0_350,axiom,
! [X16,X6] : c_List_Opartition(X6,X16,c_List_Olist_ONil(X6)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olist_ONil(X6)),
file('<stdin>',fact_partition_Osimps_I1_J) ).
fof(c_0_351,axiom,
! [X43,X44,X6] : c_List_Osplice(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X44),X43),c_List_Olist_ONil(X6)) = hAPP(hAPP(c_List_Olist_OCons(X6),X44),X43),
file('<stdin>',fact_splice_Osimps_I2_J) ).
fof(c_0_352,axiom,
! [X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25) ),
file('<stdin>',fact_inf_Oleft__idem) ).
fof(c_0_353,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) ),
file('<stdin>',fact_inf__sup__aci_I4_J) ).
fof(c_0_354,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) ),
file('<stdin>',fact_inf__left__idem) ).
fof(c_0_355,axiom,
! [X11,X12,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& ~ c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ) ),
file('<stdin>',fact_less__le__not__le) ).
fof(c_0_356,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
& X8 != X7 ) ),
file('<stdin>',fact_psubset__eq) ).
fof(c_0_357,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
<=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
| X8 = X7 ) ),
file('<stdin>',fact_subset__iff__psubset__eq) ).
fof(c_0_358,axiom,
! [X97,X6,X12,X16] :
( hBOOL(hAPP(X16,X12))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X16,X97)
=> hBOOL(hAPP(X97,X12)) ) ),
file('<stdin>',fact_rev__predicate1D) ).
fof(c_0_359,axiom,
! [X12,X97,X16,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X16,X97)
=> ( hBOOL(hAPP(X16,X12))
=> hBOOL(hAPP(X97,X12)) ) ),
file('<stdin>',fact_predicate1D) ).
fof(c_0_360,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7) ),
file('<stdin>',fact_psubset__imp__subset) ).
fof(c_0_361,axiom,
! [X38,X6,X45] :
( ( X45 = c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Obutlast(X6,X38) )
& ( X45 != c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = hAPP(hAPP(c_List_Oappend(X6),X38),c_List_Obutlast(X6,X45)) ) ),
file('<stdin>',fact_butlast__append) ).
fof(c_0_362,axiom,
! [X39,X6,X38] :
( ( X38 = c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olist_ONil(X6) )
& ( X38 != c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Obutlast(X6,X38)) ) ),
file('<stdin>',fact_butlast_Osimps_I2_J) ).
fof(c_0_363,axiom,
! [X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(X8,X12)) ),
file('<stdin>',fact_mem__def) ).
fof(c_0_364,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> X12 = X11 ) ) ),
file('<stdin>',fact_linorder__antisym__conv2) ).
fof(c_0_365,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( X12 = X11
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ) ),
file('<stdin>',fact_order__eq__iff) ).
fof(c_0_366,axiom,
! [X12,X11,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X11,X12)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> X12 = X11 ) ) ),
file('<stdin>',fact_order__antisym__conv) ).
fof(c_0_367,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> X39 = X46 ) ) ),
file('<stdin>',fact_order__antisym) ).
fof(c_0_368,axiom,
! [X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> X39 = X46 ) ) ),
file('<stdin>',fact_xt1_I5_J) ).
fof(c_0_369,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
file('<stdin>',fact_order__less__asym) ).
fof(c_0_370,axiom,
! [X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X26)
=> ~ c_Orderings_Oord__class_Oless(X6,X26,X25) ) ),
file('<stdin>',fact_xt1_I9_J) ).
fof(c_0_371,axiom,
! [X25,X26,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X25)
=> ~ c_Orderings_Oord__class_Oless(X6,X25,X26) ) ),
file('<stdin>',fact_order__less__asym_H) ).
fof(c_0_372,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
file('<stdin>',fact_order__less__imp__not__less) ).
fof(c_0_373,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
file('<stdin>',fact_order__less__not__sym) ).
fof(c_0_374,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless(X6,X11,X12)
| X12 = X11 ) ) ),
file('<stdin>',fact_not__less__iff__gr__or__eq) ).
fof(c_0_375,axiom,
! [X39,X46,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ~ c_Orderings_Oord__class_Oless(X6,X39,X46) ) ),
file('<stdin>',fact_leD) ).
fof(c_0_376,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> c_Orderings_Oord__class_Oless(X6,X11,X12) ) ),
file('<stdin>',fact_linorder__not__le) ).
fof(c_0_377,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ),
file('<stdin>',fact_linorder__not__less) ).
fof(c_0_378,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X104)
=> X104 = X103 ) ),
file('<stdin>',fact_le__antisym) ).
fof(c_0_379,axiom,
! [X54,X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = hAPP(hAPP(c_List_Oappend(X6),X48),X54)
<=> X49 = X54 ),
file('<stdin>',fact_same__append__eq) ).
fof(c_0_380,axiom,
! [X54,X48,X49,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X49),X48) = hAPP(hAPP(c_List_Oappend(X6),X54),X48)
<=> X49 = X54 ),
file('<stdin>',fact_append__same__eq) ).
fof(c_0_381,axiom,
! [X36,X28,X37,X22,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X22),X37) = hAPP(hAPP(c_List_Olist_OCons(X6),X28),X36)
<=> ( X22 = X28
& X37 = X36 ) ),
file('<stdin>',fact_list_Oinject) ).
fof(c_0_382,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X39) ),
file('<stdin>',fact_inf__sup__ord_I1_J) ).
fof(c_0_383,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X39) ),
file('<stdin>',fact_inf__le1) ).
fof(c_0_384,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X46) ),
file('<stdin>',fact_inf__sup__ord_I2_J) ).
fof(c_0_385,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X46) ),
file('<stdin>',fact_inf__le2) ).
fof(c_0_386,axiom,
! [X92,X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X26)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless(X6,X92,X26) ) ) ),
file('<stdin>',fact_xt1_I2_J) ).
fof(c_0_387,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X25)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless(X6,X26,X92) ) ) ),
file('<stdin>',fact_ord__less__eq__trans) ).
fof(c_0_388,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless(X6,X92,X25)
=> c_Orderings_Oord__class_Oless(X6,X92,X26) ) ) ),
file('<stdin>',fact_xt1_I1_J) ).
fof(c_0_389,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless(X6,X25,X92)
=> c_Orderings_Oord__class_Oless(X6,X26,X92) ) ) ),
file('<stdin>',fact_ord__eq__less__trans) ).
fof(c_0_390,axiom,
! [X12,X11,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X11,X12)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> X12 = X11 ) ) ),
file('<stdin>',fact_linorder__antisym__conv3) ).
fof(c_0_391,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X92)
=> c_Orderings_Oord__class_Oless__eq(X6,X26,X92) ) ) ),
file('<stdin>',fact_ord__eq__le__trans) ).
fof(c_0_392,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X92,X25)
=> c_Orderings_Oord__class_Oless__eq(X6,X92,X26) ) ) ),
file('<stdin>',fact_xt1_I3_J) ).
fof(c_0_393,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless__eq(X6,X26,X92) ) ) ),
file('<stdin>',fact_ord__le__eq__trans) ).
fof(c_0_394,axiom,
! [X92,X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless__eq(X6,X92,X26) ) ) ),
file('<stdin>',fact_xt1_I4_J) ).
fof(c_0_395,axiom,
! [X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> ( X26 != X25
=> c_Orderings_Oord__class_Oless(X6,X25,X26) ) ) ),
file('<stdin>',fact_xt1_I11_J) ).
fof(c_0_396,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> ( X26 != X25
=> c_Orderings_Oord__class_Oless(X6,X26,X25) ) ) ),
file('<stdin>',fact_order__le__neq__trans) ).
fof(c_0_397,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
| X39 = X46 ) ) ),
file('<stdin>',fact_order__le__imp__less__or__eq) ).
fof(c_0_398,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 != X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> c_Orderings_Oord__class_Oless(X6,X25,X26) ) ) ),
file('<stdin>',fact_xt1_I12_J) ).
fof(c_0_399,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 != X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> c_Orderings_Oord__class_Oless(X6,X26,X25) ) ) ),
file('<stdin>',fact_order__neq__le__trans) ).
fof(c_0_400,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> X12 = X11 ) ) ),
file('<stdin>',fact_linorder__antisym__conv1) ).
fof(c_0_401,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
| X12 = X11 ) ) ),
file('<stdin>',fact_order__le__less) ).
fof(c_0_402,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& X12 != X11 ) ) ),
file('<stdin>',fact_order__less__le) ).
fof(c_0_403,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X46) ) ),
file('<stdin>',fact_order__less__imp__le) ).
fof(c_0_404,axiom,
! [X11,X12,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X12),X11) = X12 ) ),
file('<stdin>',fact_le__iff__inf) ).
fof(c_0_405,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = X39 ) ),
file('<stdin>',fact_inf__absorb1) ).
fof(c_0_406,axiom,
! [X39,X46,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = X46 ) ),
file('<stdin>',fact_inf__absorb2) ).
fof(c_0_407,axiom,
! [X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X8) = X8,
file('<stdin>',fact_Int__absorb) ).
fof(c_0_408,axiom,
! [X16,X48,X6] :
( c_List_Odistinct(X6,X48)
=> c_List_Odistinct(X6,c_List_OdropWhile(X6,X16,X48)) ),
file('<stdin>',fact_distinct__dropWhile) ).
fof(c_0_409,axiom,
! [X16,X48,X6] :
( c_List_Odistinct(X6,X48)
=> c_List_Odistinct(X6,c_List_OtakeWhile(X6,X16,X48)) ),
file('<stdin>',fact_distinct__takeWhile) ).
fof(c_0_410,axiom,
! [X39,X38,X6] :
( c_List_Odistinct(X6,X38)
=> c_List_Odistinct(X6,c_List_Oinsert(X6,X39,X38)) ),
file('<stdin>',fact_distinct__insert) ).
fof(c_0_411,axiom,
! [X71,X102] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X102,X71)
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
| X102 = X71 ) ),
file('<stdin>',fact_le__eq__less__or__eq) ).
fof(c_0_412,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
=> ( X104 != X103
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103) ) ),
file('<stdin>',fact_le__neq__implies__less) ).
fof(c_0_413,axiom,
! [X71,X102] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X102,X71)
& X102 != X71 ) ),
file('<stdin>',fact_nat__less__le) ).
fof(c_0_414,axiom,
! [X38,X6,X45] :
( X45 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X38) ),
file('<stdin>',fact_last__appendL) ).
fof(c_0_415,axiom,
! [X38,X6,X45] :
( ( X45 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X38) )
& ( X45 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X45) ) ),
file('<stdin>',fact_last__append) ).
fof(c_0_416,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
file('<stdin>',fact_less__imp__le__nat) ).
fof(c_0_417,axiom,
! [X103,X104] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
| X104 = X103 )
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
file('<stdin>',fact_less__or__eq__imp__le) ).
fof(c_0_418,axiom,
! [X46,X39] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X39,X46) ),
file('<stdin>',fact_termination__basic__simps_I5_J) ).
fof(c_0_419,axiom,
! [X38,X6,X45] :
( X45 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X45) ),
file('<stdin>',fact_last__appendR) ).
fof(c_0_420,axiom,
! [X39,X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olast(X6,X38) ),
file('<stdin>',fact_last__ConsR) ).
fof(c_0_421,axiom,
! [X39,X6,X38] :
( ( X38 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = X39 )
& ( X38 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olast(X6,X38) ) ),
file('<stdin>',fact_last_Osimps) ).
fof(c_0_422,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('<stdin>',fact_ext) ).
fof(c_0_423,axiom,
! [X39,X6,X38] :
( X38 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = X39 ),
file('<stdin>',fact_last__ConsL) ).
fof(c_0_424,axiom,
! [X97,X16] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X16),X97))
| hBOOL(X97) ),
file('<stdin>',help_c__fconj__3) ).
fof(c_0_425,axiom,
! [X97,X16] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X16),X97))
| hBOOL(X16) ),
file('<stdin>',help_c__fconj__2) ).
fof(c_0_426,axiom,
! [X11,X12] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X12),X11))
| X12 = X11 ),
file('<stdin>',help_c__fequal__1) ).
fof(c_0_427,axiom,
! [X118,X117,X14,X6] : hAPP(c_COMBK(X6,X14,X117),X118) = X117,
file('<stdin>',help_c__COMBK__1) ).
fof(c_0_428,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( X39 != X46
=> c_Orderings_Oord__class_Oless(X6,X46,X39) ) ) ),
file('<stdin>',fact_linorder__cases) ).
fof(c_0_429,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( X39 != X46
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless(X6,X46,X39) ) ) ),
file('<stdin>',fact_linorder__neqE) ).
fof(c_0_430,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
| X39 = X46
| c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
file('<stdin>',fact_linorder__less__linear) ).
fof(c_0_431,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( X12 != X11
<=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
| c_Orderings_Oord__class_Oless(X6,X11,X12) ) ) ),
file('<stdin>',fact_linorder__neq__iff) ).
fof(c_0_432,axiom,
! [X39,X6] : c_List_Oinsert(X6,X39,c_List_Olist_ONil(X6)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)),
file('<stdin>',fact_insert__Nil) ).
fof(c_0_433,axiom,
! [X39,X46,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> c_Orderings_Oord__class_Oless(X6,X39,X46) ) ),
file('<stdin>',fact_not__leE) ).
fof(c_0_434,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
file('<stdin>',fact_leI) ).
fof(c_0_435,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
| c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
file('<stdin>',fact_linorder__le__less__linear) ).
fof(c_0_436,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
| c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
file('<stdin>',fact_linorder__linear) ).
fof(c_0_437,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
file('<stdin>',fact_linorder__le__cases) ).
fof(c_0_438,axiom,
! [X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X26) ),
file('<stdin>',fact_inf_Ocommute) ).
fof(c_0_439,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X39) ),
file('<stdin>',fact_inf__sup__aci_I1_J) ).
fof(c_0_440,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X39) ),
file('<stdin>',fact_inf__commute) ).
fof(c_0_441,axiom,
! [X46,X39] :
( X39 != X46
=> ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X39,X46)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X46,X39) ) ),
file('<stdin>',fact_linorder__neqE__nat) ).
fof(c_0_442,axiom,
! [X71,X102] :
( X102 != X71
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X102) ) ),
file('<stdin>',fact_nat__neq__iff) ).
fof(c_0_443,axiom,
! [X33,X14,X6] : c_Product__Type_Ointernal__split(X6,X14,X33) = c_Product__Type_Oprod_Oprod__case(X6,X14,X33),
file('<stdin>',fact_internal__split__def) ).
fof(c_0_444,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X104) ),
file('<stdin>',fact_nat__le__linear) ).
fof(c_0_445,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X46 != X39 ) ),
file('<stdin>',fact_order__less__imp__not__eq2) ).
fof(c_0_446,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X39 != X46 ) ),
file('<stdin>',fact_order__less__imp__not__eq) ).
fof(c_0_447,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X39 != X46 ) ),
file('<stdin>',fact_less__imp__neq) ).
fof(c_0_448,axiom,
! [X8,X6] : hBOOL(hAPP(c_List_Olistsp(X6,X8),c_List_Olist_ONil(X6))),
file('<stdin>',fact_listsp_Oequations_I1_J) ).
fof(c_0_449,axiom,
! [X8,X6] : hBOOL(hAPP(c_List_Olistsp(X6,X8),c_List_Olist_ONil(X6))),
file('<stdin>',fact_listsp_ONil) ).
fof(c_0_450,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = c_List_Olist_ONil(X6)
<=> ( X48 = c_List_Olist_ONil(X6)
& X49 = c_List_Olist_ONil(X6) ) ),
file('<stdin>',fact_append__is__Nil__conv) ).
fof(c_0_451,axiom,
! [X49,X48,X6] :
( c_List_Olist_ONil(X6) = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> ( X48 = c_List_Olist_ONil(X6)
& X49 = c_List_Olist_ONil(X6) ) ),
file('<stdin>',fact_Nil__is__append__conv) ).
fof(c_0_452,axiom,
! [X39,X6] :
( class_Orderings_Opreorder(X6)
=> ~ c_Orderings_Oord__class_Oless(X6,X39,X39) ),
file('<stdin>',fact_order__less__irrefl) ).
fof(c_0_453,axiom,
! [X97,X16] :
( ~ hBOOL(X16)
| ~ hBOOL(X97)
| hBOOL(hAPP(hAPP(c_fconj,X16),X97)) ),
file('<stdin>',help_c__fconj__1) ).
fof(c_0_454,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = X49
<=> X48 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_append__self__conv2) ).
fof(c_0_455,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = X48
<=> X49 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_append__self__conv) ).
fof(c_0_456,axiom,
! [X48,X6,X49] :
( X49 = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> X48 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_self__append__conv2) ).
fof(c_0_457,axiom,
! [X49,X6,X48] :
( X48 = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> X49 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_self__append__conv) ).
fof(c_0_458,axiom,
! [X34,X24,X6] : hAPP(hAPP(c_List_Olist_OCons(X6),X24),X34) != c_List_Olist_ONil(X6),
file('<stdin>',fact_list_Osimps_I3_J) ).
fof(c_0_459,axiom,
! [X34,X24,X6] : c_List_Olist_ONil(X6) != hAPP(hAPP(c_List_Olist_OCons(X6),X24),X34),
file('<stdin>',fact_list_Osimps_I2_J) ).
fof(c_0_460,axiom,
! [X105,X106] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
=> X106 != X105 ),
file('<stdin>',fact_less__not__refl3) ).
fof(c_0_461,axiom,
! [X104,X103] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X104)
=> X104 != X103 ),
file('<stdin>',fact_less__not__refl2) ).
fof(c_0_462,axiom,
! [X17,X6] : c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)),
file('<stdin>',fact_listrel__rtrancl__eq__rtrancl__listrel1) ).
fof(c_0_463,axiom,
! [X103] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X103),
file('<stdin>',fact_less__irrefl__nat) ).
fof(c_0_464,axiom,
! [X103] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X103),
file('<stdin>',fact_less__not__refl) ).
fof(c_0_465,axiom,
! [X39,X6,X38] : X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),
file('<stdin>',fact_not__Cons__self) ).
fof(c_0_466,axiom,
! [X38,X39,X6] : hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38) != X38,
file('<stdin>',fact_not__Cons__self2) ).
fof(c_0_467,axiom,
! [X8,X6] : c_Relation_ORange(X6,X6,c_Relation_OId__on(X6,X8)) = X8,
file('<stdin>',fact_Range__Id__on) ).
fof(c_0_468,axiom,
! [X8,X6] : c_Relation_ODomain(X6,X6,c_Relation_OId__on(X6,X8)) = X8,
file('<stdin>',fact_Domain__Id__on) ).
fof(c_0_469,axiom,
! [X6,X7,X8] :
( X8 = X7
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7) ),
file('<stdin>',fact_equalityD1) ).
fof(c_0_470,axiom,
! [X6,X7,X8] :
( X8 = X7
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ),
file('<stdin>',fact_equalityD2) ).
fof(c_0_471,axiom,
! [X6,X7,X8] :
( X8 = X7
=> ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ) ),
file('<stdin>',fact_equalityE) ).
fof(c_0_472,axiom,
! [X8,X6] : c_Relation_Osingle__valued(X6,X6,c_Relation_OId__on(X6,X8)),
file('<stdin>',fact_single__valued__Id__on) ).
fof(c_0_473,axiom,
! [X11,X12] :
( X12 != X11
| hBOOL(hAPP(hAPP(c_fequal,X12),X11)) ),
file('<stdin>',help_c__fequal__2) ).
fof(c_0_474,axiom,
! [X48,X6] :
( c_List_Odistinct(X6,c_List_Orotate1(X6,X48))
<=> c_List_Odistinct(X6,X48) ),
file('<stdin>',fact_distinct1__rotate) ).
fof(c_0_475,axiom,
! [X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X8),
file('<stdin>',fact_subset__refl) ).
fof(c_0_476,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
=> c_Relation_Otrans(tc_List_Olist(X6),c_List_Olexord(X6,X17)) ),
file('<stdin>',fact_lexord__transI) ).
fof(c_0_477,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
=> c_Relation_Otrans(tc_List_Olist(X6),c_List_Olistrel(X6,X17)) ),
file('<stdin>',fact_listrel__trans) ).
fof(c_0_478,axiom,
! [X6,X45,X38] :
( X38 = X45
=> X38 = hAPP(hAPP(c_List_Oappend(X6),c_List_Olist_ONil(X6)),X45) ),
file('<stdin>',fact_eq__Nil__appendI) ).
fof(c_0_479,axiom,
! [X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> ( c_List_Odistinct(X6,X38)
=> c_List_Odistinct(X6,c_List_Obutlast(X6,X38)) ) ),
file('<stdin>',fact_distinct__butlast) ).
fof(c_0_480,axiom,
! [X38,X6] : c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_Orotate1(X6,X38)) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38),
file('<stdin>',fact_length__rotate1) ).
fof(c_0_481,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( X39 = X46
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X46) ) ),
file('<stdin>',fact_order__eq__refl) ).
fof(c_0_482,axiom,
! [X45,X6] : hAPP(hAPP(c_List_Oappend(X6),c_List_Olist_ONil(X6)),X45) = X45,
file('<stdin>',fact_append__Nil) ).
fof(c_0_483,axiom,
! [X16,X6] : c_List_OdropWhile(X6,X16,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
file('<stdin>',fact_dropWhile_Osimps_I1_J) ).
fof(c_0_484,axiom,
! [X16,X6] : c_List_OtakeWhile(X6,X16,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
file('<stdin>',fact_takeWhile_Osimps_I1_J) ).
fof(c_0_485,axiom,
! [X39,X6] :
( class_Orderings_Opreorder(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X39) ),
file('<stdin>',fact_order__refl) ).
fof(c_0_486,axiom,
! [X38,X6] : c_List_Osplice(X6,X38,c_List_Olist_ONil(X6)) = X38,
file('<stdin>',fact_splice__Nil2) ).
fof(c_0_487,axiom,
! [X45,X6] : c_List_Osplice(X6,c_List_Olist_ONil(X6),X45) = X45,
file('<stdin>',fact_splice_Osimps_I1_J) ).
fof(c_0_488,axiom,
! [X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X26) = X26 ),
file('<stdin>',fact_inf_Oidem) ).
fof(c_0_489,axiom,
! [X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X39) = X39 ),
file('<stdin>',fact_inf__idem) ).
fof(c_0_490,axiom,
! [X38,X6] : hAPP(hAPP(c_List_Oappend(X6),X38),c_List_Olist_ONil(X6)) = X38,
file('<stdin>',fact_append__Nil2) ).
fof(c_0_491,axiom,
! [X103,X104] :
( X104 = X103
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
file('<stdin>',fact_eq__imp__le) ).
fof(c_0_492,axiom,
! [X17,X6] : c_Transitive__Closure_Ortrancl(X6,c_Transitive__Closure_Ortrancl(X6,X17)) = c_Transitive__Closure_Ortrancl(X6,X17),
file('<stdin>',fact_rtrancl__idemp) ).
fof(c_0_493,axiom,
! [X103] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X103),
file('<stdin>',fact_le__refl) ).
fof(c_0_494,axiom,
! [X16] :
( ~ hBOOL(hAPP(c_fNot,X16))
| ~ hBOOL(X16) ),
file('<stdin>',help_c__fNot__1) ).
fof(c_0_495,axiom,
! [X45,X38,X6] :
( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38) != c_Nat_Osize__class_Osize(tc_List_Olist(X6),X45)
=> X38 != X45 ),
file('<stdin>',fact_neq__if__length__neq) ).
fof(c_0_496,axiom,
! [X8,X6] : c_Relation_Otrans(X6,c_Relation_OId__on(X6,X8)),
file('<stdin>',fact_trans__Id__on) ).
fof(c_0_497,axiom,
! [X17,X6] : c_Relation_Otrans(X6,c_Transitive__Closure_Ortrancl(X6,X17)),
file('<stdin>',fact_trans__rtrancl) ).
fof(c_0_498,axiom,
! [X115,X116] :
( class_Orderings_Oord(X116)
=> class_Orderings_Oord(tc_fun(X115,X116)) ),
file('<stdin>',arity_fun__Orderings_Oord) ).
fof(c_0_499,axiom,
! [X115,X116] :
( class_Orderings_Oorder(X116)
=> class_Orderings_Oorder(tc_fun(X115,X116)) ),
file('<stdin>',arity_fun__Orderings_Oorder) ).
fof(c_0_500,axiom,
! [X115,X116] :
( class_Lattices_Olattice(X116)
=> class_Lattices_Olattice(tc_fun(X115,X116)) ),
file('<stdin>',arity_fun__Lattices_Olattice) ).
fof(c_0_501,axiom,
! [X115,X116] :
( class_Orderings_Opreorder(X116)
=> class_Orderings_Opreorder(tc_fun(X115,X116)) ),
file('<stdin>',arity_fun__Orderings_Opreorder) ).
fof(c_0_502,axiom,
! [X115,X116] :
( class_Lattices_Olattice(X116)
=> class_Lattices_Osemilattice__inf(tc_fun(X115,X116)) ),
file('<stdin>',arity_fun__Lattices_Osemilattice__inf) ).
fof(c_0_503,axiom,
! [X48,X6] :
( c_List_Orotate1(X6,X48) = c_List_Olist_ONil(X6)
<=> X48 = c_List_Olist_ONil(X6) ),
file('<stdin>',fact_rotate1__is__Nil__conv) ).
fof(c_0_504,axiom,
! [X16] :
( ~ ~ hBOOL(X16)
| hBOOL(hAPP(c_fNot,X16)) ),
file('<stdin>',help_c__fNot__2) ).
fof(c_0_505,axiom,
! [X6] : c_List_Obutlast(X6,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
file('<stdin>',fact_butlast_Osimps_I1_J) ).
fof(c_0_506,axiom,
! [X117,X6] : hAPP(c_COMBI(X6),X117) = X117,
file('<stdin>',help_c__COMBI__1) ).
fof(c_0_507,axiom,
! [X6] : c_List_Odistinct(X6,c_List_Olist_ONil(X6)),
file('<stdin>',fact_distinct_Osimps_I1_J) ).
fof(c_0_508,axiom,
class_Orderings_Oord(tc_HOL_Obool),
file('<stdin>',arity_HOL__Obool__Orderings_Oord) ).
fof(c_0_509,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
file('<stdin>',arity_HOL__Obool__Orderings_Oorder) ).
fof(c_0_510,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
file('<stdin>',arity_HOL__Obool__Lattices_Olattice) ).
fof(c_0_511,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
file('<stdin>',arity_HOL__Obool__Orderings_Opreorder) ).
fof(c_0_512,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
file('<stdin>',arity_HOL__Obool__Lattices_Osemilattice__inf) ).
fof(c_0_513,axiom,
class_Orderings_Oord(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Orderings_Oord) ).
fof(c_0_514,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Orderings_Oorder) ).
fof(c_0_515,axiom,
class_Lattices_Olattice(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Lattices_Olattice) ).
fof(c_0_516,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Orderings_Olinorder) ).
fof(c_0_517,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Orderings_Opreorder) ).
fof(c_0_518,axiom,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
file('<stdin>',arity_Nat__Onat__Lattices_Osemilattice__inf) ).
fof(c_0_519,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
file('<stdin>',fact_assms_I3_J) ).
fof(c_0_520,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('<stdin>',fact_u) ).
fof(c_0_521,axiom,
v_a____ != v_b____,
file('<stdin>',fact__096a_A_126_061_Ab_096) ).
fof(c_0_522,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
c_0_0 ).
fof(c_0_523,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_1 ).
fof(c_0_524,axiom,
! [X16,X17,X77,X78,X79,X80,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X78),X77))
=> ( ! [X19,X20,X81,X82] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82))),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X81),X82))
=> hBOOL(hAPP(hAPP(X16,X19),X20)) ) ) )
=> hBOOL(hAPP(hAPP(X16,X80),X79)) ) ) ),
c_0_2 ).
fof(c_0_525,axiom,
! [X16,X17,X77,X78,X79,X80,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X78),X77))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hBOOL(hAPP(hAPP(X16,X80),X79))
=> ( ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X80),X79)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ! [X81,X82] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X81),X82))),X17))
=> ( hBOOL(hAPP(hAPP(X16,X19),X20))
=> hBOOL(hAPP(hAPP(X16,X81),X82)) ) ) )
=> hBOOL(hAPP(hAPP(X16,X78),X77)) ) ) ),
c_0_3 ).
fof(c_0_526,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
c_0_4 ).
fof(c_0_527,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_5 ).
fof(c_0_528,plain,
! [X17,X83,X84,X85,X61,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17)))
=> ( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85) != hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83)
=> ~ ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X61),X85)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X84),X83))),c_Transitive__Closure_Ortrancl(tc_prod(X6,X14),X17))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_529,axiom,
! [X11,X12,X31,X13,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13)),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31)),X12),X11))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),X13),X31))) ),
c_0_7 ).
fof(c_0_530,axiom,
! [X12,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X6,X6)),tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X6),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool),X6),c_member(tc_prod(X6,X6)))),c_Product__Type_OPair(X6,X6)))),X17)),X12))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17))) ),
c_0_8 ).
fof(c_0_531,axiom,
! [X48,X12,X16,X6] : c_List_Opartition(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X6),tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_COMBS(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_fun(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),c_COMBS(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_List_Olist(X6),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_List_Olist(X6)),c_If(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(X16,X12)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_List_Olist(X6)),c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(c_List_Olist_OCons(X6),X12))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),tc_fun(tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),tc_fun(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)))),tc_List_Olist(X6)),c_COMBB(tc_List_Olist(X6),tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_List_Olist(X6))),c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)))),hAPP(c_List_Olist_OCons(X6),X12)))),c_List_Opartition(X6,X16,X48)),
c_0_9 ).
fof(c_0_532,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
c_0_10 ).
fof(c_0_533,axiom,
! [X31,X13,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13),hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X13,X31) ),
c_0_11 ).
fof(c_0_534,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_12 ).
fof(c_0_535,axiom,
! [X5,X9,X33,X14,X6,X75] :
( ! [X19,X20] :
( X75 = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20)
=> hBOOL(hAPP(hAPP(c_member(X33),X9),hAPP(hAPP(X5,X19),X20))) )
=> hBOOL(hAPP(hAPP(c_member(X33),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_fun(X33,tc_HOL_Obool)),X5),X75))) ),
c_0_13 ).
fof(c_0_536,axiom,
! [X30,X16,X27,X28,X21,X22] :
( X22 != X21
=> ( X28 != X27
=> ( X22 != X27
=> ( X21 != X28
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X16),c_Arrow__Order__Mirabelle_OProf))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X30),c_Arrow__Order__Mirabelle_OProf))
=> ( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(X16,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(X30,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(v_F,X16)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(v_F,X30))) ) ) ) ) ) ) ) ),
c_0_14 ).
fof(c_0_537,axiom,
! [X30,X16,X27,X28,X21,X22] :
( X22 != X21
=> ( X28 != X27
=> ( X22 != X27
=> ( X21 != X28
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X16),c_Arrow__Order__Mirabelle_OProf))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X30),c_Arrow__Order__Mirabelle_OProf))
=> ( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(X16,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(X30,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),hAPP(v_F,X16)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X28),X27)),hAPP(v_F,X30))) ) ) ) ) ) ) ) ),
c_0_15 ).
fof(c_0_538,axiom,
! [X61,X12,X17,X6] :
( c_List_Olistrelp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X6,X6)),tc_fun(X6,tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X6),tc_fun(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),tc_HOL_Obool),X6),c_member(tc_prod(X6,X6)))),c_Product__Type_OPair(X6,X6)))),X17),X12,X61)
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X61)),c_List_Olistrel(X6,X17))) ),
c_0_16 ).
fof(c_0_539,axiom,
! [X12,X17,X14,X6] :
( c_Predicate_ODomainP(X6,X14,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X17),X12)
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Relation_ODomain(X6,X14,X17))) ),
c_0_17 ).
fof(c_0_540,axiom,
! [X12,X17,X14,X6] :
( c_Predicate_ORangeP(X6,X14,hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X17),X12)
<=> hBOOL(hAPP(hAPP(c_member(X14),X12),c_Relation_ORange(X6,X14,X17))) ),
c_0_18 ).
fof(c_0_541,axiom,
! [X31,X13,X14,X6] :
( hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X13) = hAPP(hAPP(c_COMBC(X6,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_COMBC(X14,tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_prod(X6,X14),tc_fun(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),tc_HOL_Obool),X14),c_member(tc_prod(X6,X14)))),c_Product__Type_OPair(X6,X14)))),X31)
<=> X13 = X31 ),
c_0_19 ).
fof(c_0_542,plain,
! [X75,X5,X33,X14,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,tc_fun(X6,tc_HOL_Obool)),X5),X75)))
=> ~ ! [X3,X62] :
( X75 = hAPP(hAPP(c_Product__Type_OPair(X14,X33),X3),X62)
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(X5,X3),X62))) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_543,plain,
! [X17,X49,X11,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel1(X6,X17)))
=> ( ! [X3] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X3),X49)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X11)),X17)) )
=> ~ ! [X72] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X11),X72)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X72),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_544,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
c_0_22 ).
fof(c_0_545,plain,
! [X17,X60,X50,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X12),X50)),hAPP(hAPP(c_List_Oappend(X6),X12),X60))),c_List_Olexord(X6,X17)))
=> ( ! [X19] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X19),X19)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X50),X60)),c_List_Olexord(X6,X17))) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_546,axiom,
! [X90,X1,X33,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X14,X33)),X1),c_FuncSet_OPi(X14,X33,X7,c_COMBK(tc_fun(X33,tc_HOL_Obool),X14,X90))))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X33)),c_FuncSet_Ocompose(X6,X14,X33,X8,X1,X2)),c_FuncSet_OPi(X6,X33,X8,c_COMBK(tc_fun(X33,tc_HOL_Obool),X6,X90)))) ) ),
c_0_24 ).
fof(c_0_547,axiom,
! [X7,X14,X1,X2,X8,X6] :
( ! [X94] :
( hBOOL(hAPP(hAPP(c_member(X6),X94),X8))
=> hAPP(X2,X94) = hAPP(X1,X94) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
<=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X1),c_FuncSet_OPi(X6,X14,X8,X7))) ) ),
c_0_25 ).
fof(c_0_548,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),hAPP(X7,X3))) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7))) ),
c_0_26 ).
fof(c_0_549,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),hAPP(X7,X3))) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7))) ),
c_0_27 ).
fof(c_0_550,plain,
! [X17,X49,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),X49)),c_List_Olistrel1(X6,X17)))
=> ( ! [X62] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X62),X48)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X62)),X17)) )
=> ~ ! [X72] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X72)
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X72)),c_List_Olistrel1(X6,X17))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_551,axiom,
! [X95,X96,X88,X90,X1,X33,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X14,X33)),X1),c_FuncSet_OPi(X14,X33,X7,c_COMBK(tc_fun(X33,tc_HOL_Obool),X14,X90))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(X33,X88)),X96),c_FuncSet_OPi(X33,X88,X90,c_COMBK(tc_fun(X88,tc_HOL_Obool),X33,X95))))
=> c_FuncSet_Ocompose(X6,X33,X88,X8,X96,c_FuncSet_Ocompose(X6,X14,X33,X8,X1,X2)) = c_FuncSet_Ocompose(X6,X14,X88,X8,c_FuncSet_Ocompose(X14,X33,X88,X7,X96,X1),X2) ) ) ),
c_0_29 ).
fof(c_0_552,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
<=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49)
& ! [X110] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X110,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),c_List_Onth(X6,X48,X110)),c_List_Onth(X6,X49,X110))),X17)) ) ) ),
c_0_30 ).
fof(c_0_553,plain,
! [X17,X49,X11,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel(X6,X17)))
=> ~ ! [X3,X64] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X3),X64)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X11)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X64),X49)),c_List_Olistrel(X6,X17))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_554,axiom,
! [X41] :
( c_Arrow__Order__Mirabelle_OIIA(X41)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X42] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X42),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X42,X4))) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X42))) ) ) ) ) ),
c_0_32 ).
fof(c_0_555,axiom,
! [X7,X2,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X3)),X7)) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7)))) ),
c_0_33 ).
fof(c_0_556,axiom,
! [X8,X6] : c_Relation_OId__on(X6,X8) = hAPP(c_Product__Type_Oprod_Oprod__case(X6,X6,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X6,tc_HOL_Obool,tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X6,tc_HOL_Obool)),X6),c_COMBC(X6,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_HOL_Obool),tc_fun(X6,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X6),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X6),c_fconj)),c_fequal))),X8)),
c_0_34 ).
fof(c_0_557,plain,
! [X17,X48,X49,X11,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)),X48)),c_List_Olistrel(X6,X17)))
=> ~ ! [X62,X63] :
( X48 = hAPP(hAPP(c_List_Olist_OCons(X6),X62),X63)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X11),X62)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X49),X63)),c_List_Olistrel(X6,X17))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_558,axiom,
! [X11,X12,X17,X6] :
( ! [X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X19),X20)),X17))
| X19 = X20
| hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X20),X19)),X17)) )
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
| X12 = X11
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X12)),c_List_Olexord(X6,X17))) ) ),
c_0_36 ).
fof(c_0_559,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_COMBS(X6,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X6),c_fconj),X8)),X7)),X12))
<=> ( hBOOL(hAPP(c_List_Olistsp(X6,X8),X12))
& hBOOL(hAPP(c_List_Olistsp(X6,X7),X12)) ) ),
c_0_37 ).
fof(c_0_560,axiom,
! [X7,X8,X86,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X86),c_List_Olists(X6,X8)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X86),c_List_Olists(X6,X7)))
=> hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X7))),X86)) ) ),
c_0_38 ).
fof(c_0_561,axiom,
! [X17,X11,X49,X12,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6)))),hAPP(hAPP(c_List_Oappend(X6),X49),hAPP(hAPP(c_List_Olist_OCons(X6),X11),c_List_Olist_ONil(X6))))),c_List_Olistrel1(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
& X12 = X11 )
| ( X48 = X49
& hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17)) ) ) ),
c_0_39 ).
fof(c_0_562,axiom,
! [X90,X7,X14,X8,X6] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),hAPP(X7,X3),hAPP(X90,X3)) )
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X6,X14),tc_HOL_Obool),c_FuncSet_OPi(X6,X14,X8,X7),c_FuncSet_OPi(X6,X14,X8,X90)) ),
c_0_40 ).
fof(c_0_563,axiom,
! [X35,X17,X27,X28,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X28),X27))),c_Wellfounded_Olex__prod(X6,X14,X17,X35)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X28)),X17))
| ( X22 = X28
& hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X14)),hAPP(hAPP(c_Product__Type_OPair(X14,X14),X21),X27)),X35)) ) ) ),
c_0_41 ).
fof(c_0_564,axiom,
! [X40,X41] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X41),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( X19 != X20
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X40)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3))) ) ) )
=> c_Arrow__Order__Mirabelle_Odictator(X41,X40) ) ),
c_0_42 ).
fof(c_0_565,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> ~ ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X56,X65] :
( X48 = hAPP(hAPP(c_List_Oappend(X6),X56),hAPP(hAPP(c_List_Olist_OCons(X6),X3),X65))
=> X49 != hAPP(hAPP(c_List_Oappend(X6),X56),hAPP(hAPP(c_List_Olist_OCons(X6),X62),X65)) ) ) ),
c_0_43 ).
fof(c_0_566,axiom,
! [X12,X31,X13,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31)),X12))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X13),X31))) ),
c_0_44 ).
fof(c_0_567,axiom,
! [X90,X1,X33,X7,X8,X2,X6,X14] :
( c_Set_Oimage(X14,X6,X2,X8) = X7
=> ( c_Set_Oimage(X6,X33,X1,X7) = X90
=> c_Set_Oimage(X14,X33,c_FuncSet_Ocompose(X14,X6,X33,X8,X1,X2),X8) = X90 ) ),
c_0_45 ).
fof(c_0_568,axiom,
! [X2,X1,X14,X33,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hAPP(c_FuncSet_Ocompose(X6,X33,X14,X8,X1,X2),X12) = hAPP(X1,hAPP(X2,X12)) ),
c_0_46 ).
fof(c_0_569,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____)),v_b____),v_a____))) ),
c_0_47 ).
fof(c_0_570,axiom,
! [X11,X12,X50,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X50),hAPP(hAPP(c_List_Olist_OCons(X6),X22),X12))),hAPP(hAPP(c_List_Oappend(X6),X50),hAPP(hAPP(c_List_Olist_OCons(X6),X21),X11)))),c_List_Olexord(X6,X17))) ),
c_0_48 ).
fof(c_0_571,axiom,
! [X6,X13,X11,X15,X14,X12,X16] :
( hBOOL(hAPP(X16,X12))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X14)),hAPP(hAPP(c_Product__Type_OPair(X14,X14),X15),X11)),hAPP(X13,X12)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X6,X14),tc_prod(X6,X14))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X6,X14),tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X15)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11))),c_Recdef_Osame__fst(X6,X14,X16,X13))) ) ),
c_0_49 ).
fof(c_0_572,axiom,
! [X75,X1,X87,X88,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X88,X87,tc_prod(X14,X33)),X1),X75)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X88,X87,X6),hAPP(hAPP(c_COMBB(tc_fun(X87,tc_prod(X14,X33)),tc_fun(X87,X6),X88),hAPP(c_COMBB(tc_prod(X14,X33),X6,X87),hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2))),X1)),X75),
c_0_50 ).
fof(c_0_573,axiom,
! [X7,X8,X114,X14,X6] : c_Product__Type_OSigma(X6,X14,X114,hAPP(hAPP(c_COMBS(X6,tc_fun(X14,tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_HOL_Obool),tc_fun(tc_fun(X14,tc_HOL_Obool),tc_fun(X14,tc_HOL_Obool)),X6),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,tc_HOL_Obool))),X8)),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X114,X8)),c_Product__Type_OSigma(X6,X14,X114,X7)),
c_0_51 ).
fof(c_0_574,axiom,
! [X55,X54,X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = hAPP(hAPP(c_List_Oappend(X6),X54),X55)
<=> ? [X56] :
( ( X48 = hAPP(hAPP(c_List_Oappend(X6),X54),X56)
& hAPP(hAPP(c_List_Oappend(X6),X56),X49) = X55 )
| ( hAPP(hAPP(c_List_Oappend(X6),X48),X56) = X54
& X49 = hAPP(hAPP(c_List_Oappend(X6),X56),X55) ) ) ),
c_0_52 ).
fof(c_0_575,plain,
! [X17,X14,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X21),c_Relation_ORange(X14,X6,X17)))
=> ~ ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X6)),hAPP(hAPP(c_Product__Type_OPair(X14,X6),X3),X21)),X17)) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_576,axiom,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ORange(X14,X6,X17)))
<=> ? [X62] : hBOOL(hAPP(hAPP(c_member(tc_prod(X14,X6)),hAPP(hAPP(c_Product__Type_OPair(X14,X6),X62),X22)),X17)) ),
c_0_54 ).
fof(c_0_577,axiom,
! [X17,X49,X11,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olex(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) )
| ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olex(X6,X17))) ) ) ),
c_0_55 ).
fof(c_0_578,axiom,
! [X17,X49,X11,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel1(X6,X17)))
<=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
& X48 = X49 )
| ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
c_0_56 ).
fof(c_0_579,axiom,
! [X17,X11,X21,X12,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X22),X12)),hAPP(hAPP(c_List_Olist_OCons(X6),X21),X11))),c_List_Olexord(X6,X17)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
| ( X22 = X21
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17))) ) ) ),
c_0_57 ).
fof(c_0_580,axiom,
! [X49,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ) ),
c_0_58 ).
fof(c_0_581,axiom,
! [X49,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))),c_List_Olistrel(X6,X17))) ) ),
c_0_59 ).
fof(c_0_582,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
c_0_60 ).
fof(c_0_583,axiom,
! [X41] :
( c_Arrow__Order__Mirabelle_Ounanimity(X41)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X19,X20] :
( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X3,X4)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X19),X20)),hAPP(X41,X3))) ) ) ),
c_0_61 ).
fof(c_0_584,axiom,
! [X7,X8,X6] : c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X7))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X6),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X6))),c_List_Olists(X6,X8))),hAPP(hAPP(c_COMBC(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X6))),c_List_Olists(X6,X7))),
c_0_62 ).
fof(c_0_585,axiom,
! [X54,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17))))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X49),X54)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X54)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))) ) ),
c_0_63 ).
fof(c_0_586,axiom,
! [X12,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X49))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
c_0_64 ).
fof(c_0_587,axiom,
! [X9,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X9)),c_List_Olexord(X6,X17)))
=> ( c_Relation_Otrans(X6,X17)
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X9)),c_List_Olexord(X6,X17))) ) ) ),
c_0_65 ).
fof(c_0_588,axiom,
! [X57,X58,X17,X49,X48,X6] :
( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
& X58 = X57 )
| ( X48 = X49
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X58),X57)),c_List_Olistrel1(X6,X17))) ) )
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),X58)),hAPP(hAPP(c_List_Oappend(X6),X49),X57))),c_List_Olistrel1(X6,X17))) ),
c_0_66 ).
fof(c_0_589,axiom,
! [X12,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X49))),c_List_Olistrel1(X6,X17))) ),
c_0_67 ).
fof(c_0_590,axiom,
! [X12,X17,X60,X50,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X50),X60)),c_List_Olexord(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X12),X50)),hAPP(hAPP(c_List_Oappend(X6),X12),X60))),c_List_Olexord(X6,X17))) ),
c_0_68 ).
fof(c_0_591,axiom,
! [X11,X12,X10,X21,X22] :
( X22 != X21
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X10),X22),X21)))
<=> ( X12 != X11
& ( X11 = X22
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X21)),X10)) )
& ( X11 != X22
=> ( ( X12 = X22
=> ( X11 = X21
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X21),X11)),X10)) ) )
& ( X12 != X22
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ) ) ) ) ),
c_0_69 ).
fof(c_0_592,axiom,
! [X11,X12,X10,X21,X22] :
( X22 != X21
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Oabove(X10,X22,X21)))
<=> ( X12 != X11
& ( X12 = X21
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X11)),X10)) )
& ( X12 != X21
=> ( ( X11 = X21
=> ( X12 = X22
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X22)),X10)) ) )
& ( X11 != X21
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ) ) ) ) ),
c_0_70 ).
fof(c_0_593,plain,
! [X11,X17,X6] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X11),X11)),c_List_Olexord(X6,X17))) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_594,axiom,
! [X1,X2,X14,X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X1,X22) ),
c_0_72 ).
fof(c_0_595,plain,
! [X1,X2,X14,X8,X22,X6] :
( ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X1,X22) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X2,X22) ) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_596,plain,
! [X1,X2,X14,X8,X22,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> c_Fun_Ooverride__on(X6,X14,X2,X1,X8,X22) = hAPP(X2,X22) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_597,axiom,
! [X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X48))),c_List_Olistrel1(X6,X17))) ),
c_0_75 ).
fof(c_0_598,axiom,
! [X9,X11,X12,X17,X6] :
( c_Relation_Osingle__valued(X6,X6,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X9)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X11),X9)),c_Transitive__Closure_Ortrancl(X6,X17)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X9),X11)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ) ) ),
c_0_76 ).
fof(c_0_599,plain,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17)))
=> ~ ! [X62] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X62)),X17)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_600,axiom,
! [X17,X14,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17)))
<=> ? [X62] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X62)),X17)) ),
c_0_78 ).
fof(c_0_601,axiom,
! [X54,X49,X48,X12,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) = hAPP(hAPP(c_List_Oappend(X6),X49),X54)
<=> ( ( X49 = c_List_Olist_ONil(X6)
& hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) = X54 )
| ? [X59] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X12),X59) = X49
& X48 = hAPP(hAPP(c_List_Oappend(X6),X59),X54) ) ) ),
c_0_79 ).
fof(c_0_602,axiom,
! [X48,X12,X54,X49,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X49),X54) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)
<=> ( ( X49 = c_List_Olist_ONil(X6)
& X54 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) )
| ? [X59] :
( X49 = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X59)
& hAPP(hAPP(c_List_Oappend(X6),X59),X54) = X48 ) ) ),
c_0_80 ).
fof(c_0_603,axiom,
! [X48,X6] : c_List_Orotate1(X6,X48) = c_List_Olist_Olist__case(tc_List_Olist(X6),X6,c_List_Olist_ONil(X6),hAPP(hAPP(c_COMBB(tc_List_Olist(X6),tc_fun(tc_List_Olist(X6),tc_List_Olist(X6)),X6),hAPP(c_COMBC(tc_List_Olist(X6),tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Oappend(X6))),hAPP(hAPP(c_COMBC(X6,tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_OCons(X6)),c_List_Olist_ONil(X6))),X48),
c_0_81 ).
fof(c_0_604,axiom,
! [X12,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X8)),X12))
<=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X12),c_List_Olists(X6,X8))) ),
c_0_82 ).
fof(c_0_605,axiom,
! [X101,X2,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101))))
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
| ( hAPP(X2,X12) = hAPP(X2,X11)
& hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,X101))) ) ) ),
c_0_83 ).
fof(c_0_606,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
c_0_84 ).
fof(c_0_607,axiom,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> hBOOL(hAPP(hAPP(X8,X12),X11)) ),
c_0_85 ).
fof(c_0_608,axiom,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> hBOOL(hAPP(hAPP(X7,X12),X11)) ),
c_0_86 ).
fof(c_0_609,plain,
! [X11,X12,X7,X8,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11))
=> ~ ( hBOOL(hAPP(hAPP(X8,X12),X11))
=> ~ hBOOL(hAPP(hAPP(X7,X12),X11)) ) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_610,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
c_0_88 ).
fof(c_0_611,axiom,
! [X5,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),c_Transitive__Closure_Ortrancl(X6,X17))) ) ),
c_0_89 ).
fof(c_0_612,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
c_0_90 ).
fof(c_0_613,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))) ),
c_0_91 ).
fof(c_0_614,axiom,
! [X7,X8,X2,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Set_Oimage(X14,X6,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Set_Oimage(X14,X6,X2,X8)),c_Set_Oimage(X14,X6,X2,X7))),
c_0_92 ).
fof(c_0_615,axiom,
! [X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olex(X6,X17)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_List_Olexord(X6,X17)))
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X12) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X11) ) ),
c_0_93 ).
fof(c_0_616,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
<=> ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X66)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X66)),X17)) ) ) ),
c_0_94 ).
fof(c_0_617,axiom,
! [X5,X21,X22,X17,X6] :
( c_Relation_Otrans(X6,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X5)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X5)),X17)) ) ) ),
c_0_95 ).
fof(c_0_618,axiom,
! [X101,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,X101)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101)))) ) ),
c_0_96 ).
fof(c_0_619,axiom,
! [X2,X33,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X8))
=> hBOOL(hAPP(hAPP(c_member(X33),hAPP(hAPP(X2,X22),X21)),c_Set_Oimage(tc_prod(X6,X14),X33,hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X2),X8))) ),
c_0_97 ).
fof(c_0_620,axiom,
! [X48,X6,X16,X111] :
( ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X111)
=> hBOOL(hAPP(X16,c_List_Onth(X6,X48,X4))) )
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48))) ) ),
c_0_98 ).
fof(c_0_621,axiom,
! [X49,X57,X58,X48,X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X17))
=> ( X48 = hAPP(hAPP(c_List_Oappend(X6),X58),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X57))
=> ( X49 = hAPP(hAPP(c_List_Oappend(X6),X58),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X57))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17))) ) ) ),
c_0_99 ).
fof(c_0_622,axiom,
! [X8,X2,X14,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),c_Set_Oimage(X14,X6,X2,X8)))
<=> ? [X3] :
( hBOOL(hAPP(hAPP(c_member(X14),X3),X8))
& X9 = hAPP(X2,X3) ) ),
c_0_100 ).
fof(c_0_623,plain,
! [X11,X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( X12 != X11
=> ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X11),X12)),X10)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_624,plain,
! [X21,X22,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),X10))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X21),X22)),X10)) ) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_625,axiom,
! [X17,X14,X6] :
( ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X66)),X17))
=> X62 = X66 ) )
=> c_Relation_Osingle__valued(X6,X14,X17) ),
c_0_103 ).
fof(c_0_626,axiom,
! [X17,X14,X6] :
( c_Relation_Osingle__valued(X6,X14,X17)
<=> ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X3),X66)),X17))
=> X62 = X66 ) ) ),
c_0_104 ).
fof(c_0_627,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21))
=> hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
c_0_105 ).
fof(c_0_628,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21))
=> hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
c_0_106 ).
fof(c_0_629,axiom,
! [X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Set_Oimage(X6,X14,X2,X8),X7) ),
c_0_107 ).
fof(c_0_630,axiom,
! [X8,X2,X14,X7,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,c_Set_Oimage(X14,X6,X2,X8))
<=> ? [X99] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X99,X8)
& X7 = c_Set_Oimage(X14,X6,X2,X99) ) ),
c_0_108 ).
fof(c_0_631,axiom,
! [X5,X21,X22,X13,X33,X14,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_fun(X33,tc_HOL_Obool)),X13),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X5))
=> hBOOL(hAPP(hAPP(hAPP(X13,X22),X21),X5)) ),
c_0_109 ).
fof(c_0_632,axiom,
! [X90,X7,X8,X14,X6] : c_Product__Type_OSigma(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90))),c_Product__Type_OSigma(X6,X14,X7,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X90))),
c_0_110 ).
fof(c_0_633,axiom,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X7))))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),X7)) ) ),
c_0_111 ).
fof(c_0_634,axiom,
! [X9,X11,X12,X17,X14,X6] :
( c_Relation_Osingle__valued(X6,X14,X17)
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),X17))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X9)),X17))
=> X11 = X9 ) ) ),
c_0_112 ).
fof(c_0_635,axiom,
! [X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
<=> ! [X3] : c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X3),hAPP(X1,X3)) ) ),
c_0_113 ).
fof(c_0_636,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
& hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ) ),
c_0_114 ).
fof(c_0_637,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ),
c_0_115 ).
fof(c_0_638,plain,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22))) ) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_639,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X4)),v_c____),v_b____))) ),
c_0_117 ).
fof(c_0_640,axiom,
! [X7,X8,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ),
c_0_118 ).
fof(c_0_641,axiom,
! [X8,X17,X21,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))
=> ( X22 = X21
| hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ) ) ),
c_0_119 ).
fof(c_0_642,axiom,
! [X17,X11,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X11)),c_List_Olexord(X6,X17)))
<=> ? [X19,X3] : X11 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X3) ),
c_0_120 ).
fof(c_0_643,axiom,
! [X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X10)),c_Arrow__Order__Mirabelle_OProf)) ),
c_0_121 ).
fof(c_0_644,axiom,
! [X13,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),X13))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omlex__prod(X6,X2,X13))) ) ),
c_0_122 ).
fof(c_0_645,axiom,
! [X14,X6,X7,X11,X12,X8] :
( hBOOL(hAPP(hAPP(X8,X12),X11))
=> ( hBOOL(hAPP(hAPP(X7,X12),X11))
=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_fun(X14,tc_HOL_Obool))),X8),X7),X12),X11)) ) ),
c_0_123 ).
fof(c_0_646,axiom,
! [X7,X8,X14,X90,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X90))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X14,X6),tc_HOL_Obool),c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)),c_Product__Type_OSigma(X14,X6,X7,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X8,X7) ) ),
c_0_124 ).
fof(c_0_647,axiom,
! [X11,X12,X13,X14,X6] :
( c_FunDef_Oin__rel(X6,X14,X13,X12,X11)
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X12),X11)),X13)) ),
c_0_125 ).
fof(c_0_648,axiom,
! [X71,X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olexn(X6,X17,X71)))
=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = X71
& c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) = X71 ) ),
c_0_126 ).
fof(c_0_649,plain,
! [X13,X12,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X13)))
=> ~ ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X66),X12)),X13))
=> hBOOL(hAPP(hAPP(c_member(X6),X66),c_Wellfounded_Oacc(X6,X13))) ) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_650,axiom,
! [X17,X12,X6] :
( ! [X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X12)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X62),c_Wellfounded_Oacc(X6,X17))) )
=> hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17))) ),
c_0_128 ).
fof(c_0_651,axiom,
! [X17,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X22)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X3),c_Wellfounded_Oacc(X6,X17))) ) ),
c_0_129 ).
fof(c_0_652,axiom,
! [X2,X33,X14,X6] : hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),hAPP(hAPP(c_COMBB(tc_fun(X14,tc_prod(X6,X14)),tc_fun(X14,X33),X6),hAPP(c_COMBB(tc_prod(X6,X14),X33,X14),X2)),c_Product__Type_OPair(X6,X14))) = X2,
c_0_130 ).
fof(c_0_653,axiom,
! [X17,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),X11)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X12) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X11) ),
c_0_131 ).
fof(c_0_654,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X48)),c_List_Olistrel(X6,X17)))
=> X48 = c_List_Olist_ONil(X6) ),
c_0_132 ).
fof(c_0_655,plain,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X48)),c_List_Olistrel1(X6,X17))),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_656,plain,
! [X17,X49,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),X49)),c_List_Olex(X6,X17))),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_657,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olistrel(X6,X17)))
=> X48 = c_List_Olist_ONil(X6) ),
c_0_135 ).
fof(c_0_658,plain,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olistrel1(X6,X17))),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_659,plain,
! [X17,X48,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),c_List_Olist_ONil(X6))),c_List_Olex(X6,X17))),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_660,plain,
! [X17,X12,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),c_List_Olist_ONil(X6))),c_List_Olexord(X6,X17))),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_661,axiom,
! [X8,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_Product__Type_OSigma(tc_List_Olist(X6),tc_List_Olist(X6),c_List_Olists(X6,X8),c_COMBK(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),tc_List_Olist(X6),c_List_Olists(X6,X8)))) ),
c_0_139 ).
fof(c_0_662,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel(X6,X17)))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) ),
c_0_140 ).
fof(c_0_663,axiom,
! [X17,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X49)),c_List_Olistrel1(X6,X17)))
=> c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49) ),
c_0_141 ).
fof(c_0_664,axiom,
! [X14,X6,X16] :
( ! [X18] : hBOOL(hAPP(X16,X18))
<=> ! [X19,X20] : hBOOL(hAPP(X16,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X19),X20))) ),
c_0_142 ).
fof(c_0_665,axiom,
! [X21,X22,X14,X6,X2] :
( hBOOL(hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)))
=> hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X6,X14,tc_HOL_Obool,X2),X22),X21)) ),
c_0_143 ).
fof(c_0_666,axiom,
! [X7,X8,X6,X14] : c_Set_Oimage(tc_prod(X14,X6),tc_prod(X6,X14),hAPP(c_Product__Type_Oprod_Oprod__case(X14,X6,tc_prod(X6,X14)),hAPP(c_COMBC(X6,X14,tc_prod(X6,X14)),c_Product__Type_OPair(X6,X14))),c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X7))) = c_Product__Type_OSigma(X6,X14,X7,c_COMBK(tc_fun(X14,tc_HOL_Obool),X6,X8)),
c_0_144 ).
fof(c_0_667,axiom,
! [X17,X6] :
( ! [X3,X62] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X62)),X17))
=> ! [X66] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X62),X66)),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X66)),X17)) ) )
=> c_Relation_Otrans(X6,X17) ),
c_0_145 ).
fof(c_0_668,axiom,
! [X17,X6] :
( c_Nitpick_Orefl_H(X6,X17)
<=> ! [X3] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17)) ),
c_0_146 ).
fof(c_0_669,axiom,
! [X33,X14,X21,X22,X5,X9,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(X5,X22),X21)))
=> hBOOL(hAPP(hAPP(c_member(X6),X9),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,tc_fun(X6,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)))) ),
c_0_147 ).
fof(c_0_670,axiom,
! [X17,X12,X6,X11] :
( ? [X20,X66] : X11 = hAPP(hAPP(c_List_Olist_OCons(X6),X20),X66)
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X12),hAPP(hAPP(c_List_Oappend(X6),X12),X11))),c_List_Olexord(X6,X17))) ),
c_0_148 ).
fof(c_0_671,axiom,
! [X7,X8,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ORange(X14,X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X14,X6),tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Relation_ORange(X14,X6,X8)),c_Relation_ORange(X14,X6,X7))),
c_0_149 ).
fof(c_0_672,axiom,
! [X7,X8,X14,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ODomain(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),X8),X7)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),c_Relation_ODomain(X6,X14,X8)),c_Relation_ODomain(X6,X14,X7))),
c_0_150 ).
fof(c_0_673,plain,
! [X48,X16,X6] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ~ hBOOL(hAPP(X16,c_List_Onth(X6,X48,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48))))) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_674,axiom,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),hAPP(X7,X12))) ) ),
c_0_152 ).
fof(c_0_675,plain,
! [X12,X7,X8,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X14)),X2),c_FuncSet_OPi(X6,X14,X8,X7)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),hAPP(X7,X12)))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X12),X8)) ) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_676,axiom,
! [X7,X21,X14,X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> ( hBOOL(hAPP(hAPP(c_member(X14),X21),hAPP(X7,X22)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),c_Product__Type_OSigma(X6,X14,X8,X7))) ) ),
c_0_154 ).
fof(c_0_677,axiom,
! [X31,X13,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13),hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31))
<=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X13,X31) ),
c_0_155 ).
fof(c_0_678,axiom,
! [X101,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X6,tc_Nat_Onat)),X2),X101)))) ),
c_0_156 ).
fof(c_0_679,axiom,
! [X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Omktop(X10,X9)))
<=> ( X12 != X9
& ( X11 = X9
=> X12 != X11 )
& ( X11 != X9
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ),
c_0_157 ).
fof(c_0_680,axiom,
! [X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),c_Arrow__Order__Mirabelle_Omkbot(X10,X9)))
<=> ( X11 != X9
& ( X12 = X9
=> X12 != X11 )
& ( X12 != X9
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X12),X11)),X10)) ) ) ),
c_0_158 ).
fof(c_0_681,axiom,
! [X90,X113,X114,X14,X6] : c_Product__Type_OSigma(X6,X14,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X114),X113),X90) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X14),tc_HOL_Obool)),c_Product__Type_OSigma(X6,X14,X114,X90)),c_Product__Type_OSigma(X6,X14,X113,X90)),
c_0_159 ).
fof(c_0_682,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X4)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X4))) ),
c_0_160 ).
fof(c_0_683,axiom,
! [X10,X11,X12] :
( X12 != X11
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X10),X12),X11)),c_Arrow__Order__Mirabelle_OLin)) ) ),
c_0_161 ).
fof(c_0_684,axiom,
! [X17,X22,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X22)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17))) ) ),
c_0_162 ).
fof(c_0_685,axiom,
! [X21,X17,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X21),X22)),c_Transitive__Closure_Ortrancl(X6,X17)))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17))) ) ),
c_0_163 ).
fof(c_0_686,axiom,
! [X40,X41] :
( c_Arrow__Order__Mirabelle_Odictator(X41,X40)
<=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
=> hAPP(X41,X3) = hAPP(X3,X40) ) ),
c_0_164 ).
fof(c_0_687,axiom,
! [X22,X17,X21,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X21),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),c_Wellfounded_Oacc(X6,X17))) ) ),
c_0_165 ).
fof(c_0_688,plain,
! [X11,X12,X6] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_List_Omeasures(X6,c_List_Olist_ONil(tc_fun(X6,tc_Nat_Onat))))),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_689,plain,
! [X11,X13,X12,X6] :
( ~ hBOOL(hAPP(hAPP(c_member(X6),X12),c_Relation_ODomain(X6,X6,X13)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Transitive__Closure_Ortrancl(X6,X13)))
<=> X12 = X11 ) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_690,axiom,
! [X10,X11,X12] :
( X12 != X11
=> ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X10,X12,X11)),c_Arrow__Order__Mirabelle_OLin)) ) ),
c_0_168 ).
fof(c_0_691,axiom,
! [X17,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),c_Relation_ODomain(X6,X14,X17))) ),
c_0_169 ).
fof(c_0_692,axiom,
! [X17,X21,X22,X14,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X14)),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)),X17))
=> hBOOL(hAPP(hAPP(c_member(X14),X21),c_Relation_ORange(X6,X14,X17))) ),
c_0_170 ).
fof(c_0_693,axiom,
! [X8,X6] : hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X6)),c_COMBI(X6)),c_FuncSet_OPi(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8)))),
c_0_171 ).
fof(c_0_694,axiom,
! [X17,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olist_ONil(X6))),c_List_Olistrel(X6,X17))),
c_0_172 ).
fof(c_0_695,axiom,
! [X8,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Relation_OId__on(X6,X8)))
<=> ( X12 = X11
& hBOOL(hAPP(hAPP(c_member(X6),X12),X8)) ) ),
c_0_173 ).
fof(c_0_696,axiom,
! [X2,X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omeasure(X6,X2)))
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11)) ),
c_0_174 ).
fof(c_0_697,axiom,
! [X17,X48,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),X48),X48)),c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)))),
c_0_175 ).
fof(c_0_698,plain,
! [X17,X6] :
( c_Relation_Oirrefl(X6,X17)
<=> ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3)),X17)) ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_699,axiom,
! [X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X10,X12)),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_177 ).
fof(c_0_700,axiom,
! [X12,X10] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X10),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X10,X12)),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_178 ).
fof(c_0_701,axiom,
! [X6,X48] :
( X48 != c_List_Olist_ONil(X6)
=> ( c_List_Odistinct(X6,X48)
=> c_List_OtakeWhile(X6,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),hAPP(hAPP(c_COMBC(X6,X6,tc_HOL_Obool),c_fequal),c_List_Olast(X6,X48))),X48) = c_List_Obutlast(X6,X48) ) ),
c_0_179 ).
fof(c_0_702,axiom,
! [X48,X17,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),c_Wellfounded_Oacc(X6,X17)))
=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ) ),
c_0_180 ).
fof(c_0_703,axiom,
! [X8,X1,X33,X2,X6,X14] : c_Set_Oimage(X14,X6,X2,c_Set_Oimage(X33,X14,X1,X8)) = c_Set_Oimage(X33,X6,hAPP(hAPP(c_COMBB(X14,X6,X33),X2),X1),X8),
c_0_181 ).
fof(c_0_704,axiom,
! [X7,X86,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),X86))
=> ( hBOOL(hAPP(c_List_Olistsp(X6,X7),X86))
=> hBOOL(hAPP(c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)),X86)) ) ),
c_0_182 ).
fof(c_0_705,axiom,
! [X21,X22,X2,X14,X6] :
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X2),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21)))
=> hBOOL(hAPP(hAPP(X2,X22),X21)) ),
c_0_183 ).
fof(c_0_706,axiom,
! [X7,X8,X14,X90,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X90))
=> ( c_Product__Type_OSigma(X14,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90)) = c_Product__Type_OSigma(X14,X6,X7,c_COMBK(tc_fun(X6,tc_HOL_Obool),X14,X90))
<=> X8 = X7 ) ),
c_0_184 ).
fof(c_0_707,axiom,
! [X21,X22,X32,X6,X33,X14] : c_Product__Type_Oprod_Oprod__rec(X14,X33,X6,X32,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X32,X22),X21),
c_0_185 ).
fof(c_0_708,axiom,
! [X13,X6,X11,X12,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X12),hAPP(X2,X11))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X12),X11)),c_Wellfounded_Omlex__prod(X6,X2,X13))) ),
c_0_186 ).
fof(c_0_709,axiom,
! [X2,X14,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X14),hAPP(X2,X12)),c_Set_Oimage(X6,X14,X2,X8))) ),
c_0_187 ).
fof(c_0_710,axiom,
! [X37,X22,X47,X32,X14,X6] : c_List_Olist_Olist__case(X6,X14,X32,X47,hAPP(hAPP(c_List_Olist_OCons(X14),X22),X37)) = hAPP(hAPP(X47,X22),X37),
c_0_188 ).
fof(c_0_711,axiom,
! [X14,X2,X21,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> ( X21 = hAPP(X2,X12)
=> hBOOL(hAPP(hAPP(c_member(X14),X21),c_Set_Oimage(X6,X14,X2,X8))) ) ),
c_0_189 ).
fof(c_0_712,axiom,
! [X6,X8,X14,X12,X2,X21] :
( X21 = hAPP(X2,X12)
=> ( hBOOL(hAPP(hAPP(c_member(X14),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X21),c_Set_Oimage(X14,X6,X2,X8))) ) ),
c_0_190 ).
fof(c_0_713,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
c_0_191 ).
fof(c_0_714,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
c_0_192 ).
fof(c_0_715,axiom,
! [X8,X49,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Oappend(X6),X48),X49)),c_List_Olists(X6,X8)))
<=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,X8)))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X49),c_List_Olists(X6,X8))) ) ),
c_0_193 ).
fof(c_0_716,axiom,
! [X8,X6,X21,X22] :
( X22 = X21
=> ( hBOOL(hAPP(hAPP(c_member(X6),X22),X8))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X21)),c_Relation_OId__on(X6,X8))) ) ),
c_0_194 ).
fof(c_0_717,axiom,
! [X7,X14,X8,X98,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X98,X8)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X6,X14),tc_HOL_Obool),c_FuncSet_OPi(X6,X14,X8,X7),c_FuncSet_OPi(X6,X14,X98,X7)) ),
c_0_195 ).
fof(c_0_718,axiom,
! [X21,X22,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ocurry(X14,X33,X6,X2),X22),X21) = hAPP(X2,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)),
c_0_196 ).
fof(c_0_719,axiom,
! [X11,X12,X5,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ocurry(X14,X33,X6,X5),X12),X11) = hAPP(X5,hAPP(hAPP(c_Product__Type_OPair(X14,X33),X12),X11)),
c_0_197 ).
fof(c_0_720,axiom,
! [X47,X32,X14,X6] : c_List_Olist_Olist__case(X6,X14,X32,X47,c_List_Olist_ONil(X14)) = X32,
c_0_198 ).
fof(c_0_721,axiom,
! [X2,X14,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),c_Set_Oimage(X6,X14,X2,X8),c_Set_Oimage(X6,X14,X2,X7)) ),
c_0_199 ).
fof(c_0_722,axiom,
! [X8,X48,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)),c_List_Olists(X6,X8)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,X8))) ) ),
c_0_200 ).
fof(c_0_723,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ),
c_0_201 ).
fof(c_0_724,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X8)) ),
c_0_202 ).
fof(c_0_725,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
<=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
& hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
c_0_203 ).
fof(c_0_726,plain,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_727,axiom,
! [X90,X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)),X90) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X90)),
c_0_205 ).
fof(c_0_728,axiom,
! [X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X5),c_Relation_OId__on(X6,X8)))
=> ~ ! [X3] :
( hBOOL(hAPP(hAPP(c_member(X6),X3),X8))
=> X5 != hAPP(hAPP(c_Product__Type_OPair(X6,X6),X3),X3) ) ),
c_0_206 ).
fof(c_0_729,axiom,
! [X31,X13,X6] :
( hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X13) = hAPP(hAPP(c_COMBC(X6,tc_fun(X6,tc_HOL_Obool),tc_HOL_Obool),c_member(X6)),X31)
<=> X13 = X31 ),
c_0_207 ).
fof(c_0_730,axiom,
! [X17,X22,X6] : hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),hAPP(hAPP(c_Product__Type_OPair(X6,X6),X22),X22)),c_Transitive__Closure_Ortrancl(X6,X17))),
c_0_208 ).
fof(c_0_731,axiom,
! [X25,X26] :
( X26 != X25
=> ? [X29] : c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X26),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X25),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X29),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))) ),
c_0_209 ).
fof(c_0_732,axiom,
! [X7,X8,X5,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X7))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7))) ) ),
c_0_210 ).
fof(c_0_733,axiom,
! [X14,X6,X21,X22,X32] :
( hBOOL(hAPP(hAPP(X32,X22),X21))
=> hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X32),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
c_0_211 ).
fof(c_0_734,axiom,
! [X14,X6,X21,X22,X2] :
( hBOOL(hAPP(hAPP(X2,X22),X21))
=> hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,tc_HOL_Obool),X2),hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21))) ),
c_0_212 ).
fof(c_0_735,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> hBOOL(hAPP(X8,X12)) ),
c_0_213 ).
fof(c_0_736,axiom,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> hBOOL(hAPP(X7,X12)) ),
c_0_214 ).
fof(c_0_737,plain,
! [X12,X7,X8,X6] :
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12))
=> ~ ( hBOOL(hAPP(X8,X12))
=> ~ hBOOL(hAPP(X7,X12)) ) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_738,axiom,
! [X67,X68,X69,X70,X17,X6] :
( c_List_Olistrelp(X6,X17,hAPP(hAPP(c_List_Olist_OCons(X6),X70),X69),hAPP(hAPP(c_List_Olist_OCons(X6),X68),X67))
<=> ( hBOOL(hAPP(hAPP(X17,X70),X68))
& c_List_Olistrelp(X6,X17,X69,X67) ) ),
c_0_216 ).
fof(c_0_739,axiom,
! [X49,X48,X6,X11,X12,X17] :
( hBOOL(hAPP(hAPP(X17,X12),X11))
=> ( c_List_Olistrelp(X6,X17,X48,X49)
=> c_List_Olistrelp(X6,X17,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)) ) ),
c_0_217 ).
fof(c_0_740,axiom,
! [X8,X22,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X22),c_List_Olists(X6,X8)))
<=> ( X22 = c_List_Olist_ONil(X6)
| ? [X19,X76] :
( X22 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X76)
& hBOOL(hAPP(hAPP(c_member(X6),X19),X8))
& hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X76),c_List_Olists(X6,X8))) ) ) ),
c_0_218 ).
fof(c_0_741,axiom,
! [X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Relation_OId__on(X6,X8),c_Product__Type_OSigma(X6,X6,X8,c_COMBK(tc_fun(X6,tc_HOL_Obool),X6,X8))),
c_0_219 ).
fof(c_0_742,axiom,
! [X21,X22] :
( X22 != X21
=> ? [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X22),X21)),X3)) ) ),
c_0_220 ).
fof(c_0_743,axiom,
! [X48,X12,X2,X6,X14] : c_List_Omaps(X14,X6,X2,hAPP(hAPP(c_List_Olist_OCons(X14),X12),X48)) = hAPP(hAPP(c_List_Oappend(X6),hAPP(X2,X12)),c_List_Omaps(X14,X6,X2,X48)),
c_0_221 ).
fof(c_0_744,axiom,
! [X95,X7,X90,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X90)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X95)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X90),X95)) ) ),
c_0_222 ).
fof(c_0_745,axiom,
! [X17,X75,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X75),X17))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X6,X6)),X75),c_Transitive__Closure_Ortrancl(X6,X17))) ),
c_0_223 ).
fof(c_0_746,axiom,
! [X90,X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X90)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X90)),
c_0_224 ).
fof(c_0_747,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,c_Wellfounded_Oacc(X6,X17)))) ),
c_0_225 ).
fof(c_0_748,axiom,
! [X17,X48,X6] :
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_List_Olists(X6,c_Wellfounded_Oacc(X6,X17))))
=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),X48),c_Wellfounded_Oacc(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)))) ),
c_0_226 ).
fof(c_0_749,axiom,
! [X35,X17,X6] :
( c_Relation_Otrans(X6,X17)
=> ( c_Relation_Otrans(X6,X35)
=> c_Relation_Otrans(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X6,X6),tc_HOL_Obool)),X17),X35)) ) ),
c_0_227 ).
fof(c_0_750,plain,
! [X49,X11,X48,X16,X6] :
( c_List_OdropWhile(X6,X16,X48) = hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49)
<=> ( X48 = hAPP(hAPP(c_List_Oappend(X6),c_List_OtakeWhile(X6,X16,X48)),hAPP(hAPP(c_List_Olist_OCons(X6),X11),X49))
& ~ hBOOL(hAPP(X16,X11)) ) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_751,axiom,
! [X6,X7,X12,X8] :
( hBOOL(hAPP(X8,X12))
=> ( hBOOL(hAPP(X7,X12))
=> hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X12)) ) ),
c_0_229 ).
fof(c_0_752,axiom,
! [X48,X16,X6,X111] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)))
=> c_List_Onth(X6,c_List_OtakeWhile(X6,X16,X48),X111) = c_List_Onth(X6,X48,X111) ),
c_0_230 ).
fof(c_0_753,axiom,
! [X45,X46,X38,X39,X6] : c_List_Osplice(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X46),X45)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),hAPP(hAPP(c_List_Olist_OCons(X6),X46),c_List_Osplice(X6,X38,X45))),
c_0_231 ).
fof(c_0_754,plain,
~ ! [X29] : ~ c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X29),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_755,axiom,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
c_0_233 ).
fof(c_0_756,axiom,
! [X2,X33,X14,X6] : hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),c_Product__Type_Ocurry(X6,X14,X33,X2)) = X2,
c_0_234 ).
fof(c_0_757,axiom,
! [X7,X8,X90,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,X8)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X90,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) ) ),
c_0_235 ).
fof(c_0_758,axiom,
! [X22,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(X17,X3),X22))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X3)) ) ),
c_0_236 ).
fof(c_0_759,axiom,
! [X22,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22))
<=> ! [X3] :
( hBOOL(hAPP(hAPP(X17,X3),X22))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X3)) ) ),
c_0_237 ).
fof(c_0_760,axiom,
! [X13,X97,X16,X6,X33,X14] : hAPP(hAPP(hAPP(c_COMBS(X14,X33,X6),X16),X97),X13) = hAPP(hAPP(X16,X13),hAPP(X97,X13)),
c_0_238 ).
fof(c_0_761,axiom,
! [X73,X14,X74,X6] :
( c_Relation_Otrans(X6,X74)
=> ( c_Relation_Otrans(X14,X73)
=> c_Relation_Otrans(tc_prod(X6,X14),c_Wellfounded_Olex__prod(X6,X14,X74,X73)) ) ),
c_0_239 ).
fof(c_0_762,axiom,
! [X68,X17,X14,X6] :
( c_Predicate_ORangeP(X6,X14,X17,X68)
<=> ? [X19] : hBOOL(hAPP(hAPP(X17,X19),X68)) ),
c_0_240 ).
fof(c_0_763,axiom,
! [X6,X49,X48] :
( X48 = X49
<=> ( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X49)
& ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> c_List_Onth(X6,X48,X4) = c_List_Onth(X6,X49,X4) ) ) ),
c_0_241 ).
fof(c_0_764,axiom,
! [X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),
c_0_242 ).
fof(c_0_765,axiom,
! [X7,X8,X6] : c_List_Olistsp(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X6),tc_HOL_Obool)),c_List_Olistsp(X6,X8)),c_List_Olistsp(X6,X7)),
c_0_243 ).
fof(c_0_766,axiom,
! [X13,X97,X16,X6,X33,X14] : hAPP(hAPP(hAPP(c_COMBC(X14,X33,X6),X16),X97),X13) = hAPP(hAPP(X16,X13),X97),
c_0_244 ).
fof(c_0_767,axiom,
! [X13,X97,X16,X33,X6,X14] : hAPP(hAPP(hAPP(c_COMBB(X14,X6,X33),X16),X97),X13) = hAPP(X16,hAPP(X97,X13)),
c_0_245 ).
fof(c_0_768,axiom,
! [X49,X48,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),hAPP(hAPP(c_List_Oappend(X6),X48),X49)))
<=> ( hBOOL(hAPP(c_List_Olistsp(X6,X8),X48))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X49)) ) ),
c_0_246 ).
fof(c_0_769,axiom,
! [X68,X70,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),hAPP(hAPP(c_List_Olist_OCons(X6),X70),X68)))
<=> ( hBOOL(hAPP(X8,X70))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X68)) ) ),
c_0_247 ).
fof(c_0_770,axiom,
! [X11,X49,X12,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6))) = hAPP(hAPP(c_List_Oappend(X6),X49),hAPP(hAPP(c_List_Olist_OCons(X6),X11),c_List_Olist_ONil(X6)))
<=> ( X48 = X49
& X12 = X11 ) ),
c_0_248 ).
fof(c_0_771,axiom,
! [X5,X33,X14,X6,X89,X75] :
( X75 = X89
=> hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X5),X75) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X5),X89) ),
c_0_249 ).
fof(c_0_772,axiom,
! [X22,X8,X6] :
( hBOOL(hAPP(c_List_Olistsp(X6,X8),X22))
<=> ( X22 = c_List_Olist_ONil(X6)
| ? [X19,X76] :
( X22 = hAPP(hAPP(c_List_Olist_OCons(X6),X19),X76)
& hBOOL(hAPP(X8,X19))
& hBOOL(hAPP(c_List_Olistsp(X6,X8),X76)) ) ) ),
c_0_250 ).
fof(c_0_773,axiom,
! [X35,X17,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Relation_ODomain(X6,X14,X17),c_Relation_ODomain(X6,X14,X35)) ),
c_0_251 ).
fof(c_0_774,axiom,
! [X2,X33,X14,X6] : c_Product__Type_Ocurry(X6,X14,X33,hAPP(c_Product__Type_Oprod_Oprod__case(X6,X14,X33),X2)) = X2,
c_0_252 ).
fof(c_0_775,axiom,
! [X48,X6] :
( c_List_Odistinct(X6,X48)
<=> ! [X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ! [X112] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X112,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( X4 != X112
=> c_List_Onth(X6,X48,X4) != c_List_Onth(X6,X48,X112) ) ) ) ),
c_0_253 ).
fof(c_0_776,axiom,
! [X111,X40,X48,X6] :
( c_List_Odistinct(X6,X48)
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X111,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48))
=> ( c_List_Onth(X6,X48,X40) = c_List_Onth(X6,X48,X111)
<=> X40 = X111 ) ) ) ),
c_0_254 ).
fof(c_0_777,axiom,
! [X31,X13,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X13,X31)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X31,c_Transitive__Closure_Ortrancl(X6,X13))
=> c_Transitive__Closure_Ortrancl(X6,X31) = c_Transitive__Closure_Ortrancl(X6,X13) ) ),
c_0_255 ).
fof(c_0_778,axiom,
! [X21,X22,X2,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X2),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X2,X22),X21),
c_0_256 ).
fof(c_0_779,axiom,
! [X21,X22,X32,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X14,X33,X6),X32),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X32,X22),X21),
c_0_257 ).
fof(c_0_780,axiom,
! [X21,X22,X5,X6,X33,X14] : hAPP(hAPP(c_Product__Type_Ointernal__split(X14,X33,X6),X5),hAPP(hAPP(c_Product__Type_OPair(X14,X33),X22),X21)) = hAPP(hAPP(X5,X22),X21),
c_0_258 ).
fof(c_0_781,axiom,
! [X16,X71,X102] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> ( ( X102 = X71
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X102)
=> hBOOL(hAPP(hAPP(X16,X71),X102)) )
=> hBOOL(hAPP(hAPP(X16,X71),X102)) ) ) ),
c_0_259 ).
fof(c_0_782,axiom,
! [X12,X1,X2,X14,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,X6)),X2),X1),X12) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(X2,X12)),hAPP(X1,X12)) ),
c_0_260 ).
fof(c_0_783,axiom,
! [X12,X1,X2,X14,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X14,X6)),X2),X1),X12) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(X2,X12)),hAPP(X1,X12)) ),
c_0_261 ).
fof(c_0_784,plain,
! [X86,X48,X6,X12,X16] :
( ~ hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),X86))) = c_List_OtakeWhile(X6,X16,X48) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_785,axiom,
! [X100,X25,X92,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X92)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X100)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X92),X100)) ) ) ),
c_0_263 ).
fof(c_0_786,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel1(X6,X17),c_List_Olistrel1(X6,X35)) ),
c_0_264 ).
fof(c_0_787,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_List_Olistrel(X6,X35)) ),
c_0_265 ).
fof(c_0_788,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,c_Transitive__Closure_Ortrancl(X6,X35))
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X6,X17),c_Transitive__Closure_Ortrancl(X6,X35)) ),
c_0_266 ).
fof(c_0_789,axiom,
! [X92,X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)),X92) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X92)) ),
c_0_267 ).
fof(c_0_790,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)),X91) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ),
c_0_268 ).
fof(c_0_791,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)),X91) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ),
c_0_269 ).
fof(c_0_792,axiom,
! [X45,X38,X39,X6] : hAPP(hAPP(c_List_Oappend(X6),hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)),X45) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),hAPP(hAPP(c_List_Oappend(X6),X38),X45)),
c_0_270 ).
fof(c_0_793,axiom,
! [X52,X45,X38,X6] : hAPP(hAPP(c_List_Oappend(X6),hAPP(hAPP(c_List_Oappend(X6),X38),X45)),X52) = hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Oappend(X6),X45),X52)),
c_0_271 ).
fof(c_0_794,axiom,
! [X11,X12,X97,X16,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),X16,X97)
=> ( hBOOL(hAPP(hAPP(X16,X12),X11))
=> hBOOL(hAPP(hAPP(X97,X12),X11)) ) ),
c_0_272 ).
fof(c_0_795,axiom,
! [X97,X14,X6,X11,X12,X16] :
( hBOOL(hAPP(hAPP(X16,X12),X11))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X14,tc_HOL_Obool)),X16,X97)
=> hBOOL(hAPP(hAPP(X97,X12),X11)) ) ),
c_0_273 ).
fof(c_0_796,axiom,
! [X45,X39,X38,X6] : c_List_Onth(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),X45)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38)) = X39,
c_0_274 ).
fof(c_0_797,axiom,
! [X5,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
c_0_275 ).
fof(c_0_798,axiom,
! [X12,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
c_0_276 ).
fof(c_0_799,axiom,
! [X7,X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
c_0_277 ).
fof(c_0_800,axiom,
! [X12,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
c_0_278 ).
fof(c_0_801,axiom,
! [X5,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ),
c_0_279 ).
fof(c_0_802,axiom,
! [X35,X17,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X17,X35)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X6,X17),c_Transitive__Closure_Ortrancl(X6,X35)) ),
c_0_280 ).
fof(c_0_803,axiom,
! [X14,X6,X21,X22,X17] :
( hBOOL(hAPP(hAPP(X17,X22),X21))
=> c_Predicate_ODomainP(X6,X14,X17,X22) ),
c_0_281 ).
fof(c_0_804,axiom,
! [X14,X6,X21,X22,X17] :
( hBOOL(hAPP(hAPP(X17,X22),X21))
=> c_Predicate_ORangeP(X6,X14,X17,X21) ),
c_0_282 ).
fof(c_0_805,axiom,
! [X48,X16,X6] : hAPP(hAPP(c_List_Oappend(X6),c_List_OtakeWhile(X6,X16,X48)),c_List_OdropWhile(X6,X16,X48)) = X48,
c_0_283 ).
fof(c_0_806,plain,
! [X48,X6,X12,X16] :
( ( hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_OtakeWhile(X6,X16,X48)) )
& ( ~ hBOOL(hAPP(X16,X12))
=> c_List_OtakeWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = c_List_Olist_ONil(X6) ) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_807,axiom,
! [X7,X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X7),
c_0_285 ).
fof(c_0_808,axiom,
! [X7,X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7),X8),
c_0_286 ).
fof(c_0_809,axiom,
! [X17,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel1(X6,c_Transitive__Closure_Ortrancl(X6,X17)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))),
c_0_287 ).
fof(c_0_810,axiom,
! [X39,X38,X6] : c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)))) = X38,
c_0_288 ).
fof(c_0_811,axiom,
! [X39,X38,X6] : c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)))) = X39,
c_0_289 ).
fof(c_0_812,axiom,
! [X35,X17,X14,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X14),tc_HOL_Obool),X17,X35)
=> ( c_Relation_Osingle__valued(X6,X14,X35)
=> c_Relation_Osingle__valued(X6,X14,X17) ) ),
c_0_290 ).
fof(c_0_813,axiom,
! [X48,X16,X6] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OdropWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48)),
c_0_291 ).
fof(c_0_814,axiom,
! [X48,X16,X6] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_OtakeWhile(X6,X16,X48)),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X48)),
c_0_292 ).
fof(c_0_815,axiom,
! [X22,X21,X17,X6] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X21))
=> ( hBOOL(hAPP(hAPP(X17,X22),X21))
=> hBOOL(hAPP(c_Wellfounded_Oaccp(X6,X17),X22)) ) ),
c_0_293 ).
fof(c_0_816,axiom,
! [X9,X11,X12,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X11),X9))
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& c_Orderings_Oord__class_Oless__eq(X6,X12,X9) ) ) ),
c_0_294 ).
fof(c_0_817,axiom,
! [X25,X26,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X26)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X25)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)) ) ) ),
c_0_295 ).
fof(c_0_818,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X91)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) ) ) ),
c_0_296 ).
fof(c_0_819,axiom,
! [X73,X74,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X6,X6),tc_HOL_Obool),X74,X73)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Wellfounded_Oacc(X6,X73),c_Wellfounded_Oacc(X6,X74)) ),
c_0_297 ).
fof(c_0_820,axiom,
! [X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> hAPP(hAPP(c_List_Oappend(X6),c_List_Obutlast(X6,X38)),hAPP(hAPP(c_List_Olist_OCons(X6),c_List_Olast(X6,X38)),c_List_Olist_ONil(X6))) = X38 ),
c_0_298 ).
fof(c_0_821,axiom,
! [X73,X74,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_fun(X6,tc_HOL_Obool)),X74,X73)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),c_Wellfounded_Oaccp(X6,X73),c_Wellfounded_Oaccp(X6,X74)) ),
c_0_299 ).
fof(c_0_822,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
c_0_300 ).
fof(c_0_823,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
c_0_301 ).
fof(c_0_824,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
c_0_302 ).
fof(c_0_825,axiom,
! [X90,X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X90)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X90) ) ),
c_0_303 ).
fof(c_0_826,axiom,
! [X92,X26,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X92)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X92)) ),
c_0_304 ).
fof(c_0_827,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X91)) ),
c_0_305 ).
fof(c_0_828,axiom,
! [X91,X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X91)) ),
c_0_306 ).
fof(c_0_829,plain,
! [X25,X26,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25))
=> ~ ( c_Orderings_Oord__class_Oless__eq(X6,X39,X26)
=> ~ c_Orderings_Oord__class_Oless__eq(X6,X39,X25) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_830,plain,
! [X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,X14),X2,X1)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
& ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_831,axiom,
! [X17,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X6),tc_List_Olist(X6)),tc_HOL_Obool),c_List_Olistrel(X6,X17),c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17))),
c_0_309 ).
fof(c_0_832,axiom,
! [X27,X28,X21,X22,X14,X6] :
( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X22),X21) = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X28),X27)
<=> ( X22 = X28
& X21 = X27 ) ),
c_0_310 ).
fof(c_0_833,axiom,
! [X23,X24,X25,X26,X14,X6] :
( hAPP(hAPP(c_Product__Type_OPair(X6,X14),X26),X25) = hAPP(hAPP(c_Product__Type_OPair(X6,X14),X24),X23)
=> ~ ( X26 = X24
=> X25 != X23 ) ),
c_0_311 ).
fof(c_0_834,axiom,
! [X39,X45,X38,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38),c_Nat_Osize__class_Osize(tc_List_Olist(X6),X45))
=> X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X45) ),
c_0_312 ).
fof(c_0_835,axiom,
! [X7,X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X7),X8),
c_0_313 ).
fof(c_0_836,axiom,
! [X38,X39,X14,X6] :
( c_List_Orotate1(X6,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6)
& c_List_Orotate1(X14,hAPP(hAPP(c_List_Olist_OCons(X14),X39),X38)) = hAPP(hAPP(c_List_Oappend(X14),X38),hAPP(hAPP(c_List_Olist_OCons(X14),X39),c_List_Olist_ONil(X14))) ),
c_0_314 ).
fof(c_0_837,axiom,
! [X49,X12,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),hAPP(hAPP(c_List_Olist_OCons(X6),X12),c_List_Olist_ONil(X6))) = X49
<=> ( X49 != c_List_Olist_ONil(X6)
& c_List_Obutlast(X6,X49) = X48
& c_List_Olast(X6,X49) = X12 ) ),
c_0_315 ).
fof(c_0_838,axiom,
! [X12,X6,X7,X8] :
( X8 = X7
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(hAPP(c_member(X6),X12),X7)) ) ),
c_0_316 ).
fof(c_0_839,axiom,
! [X8,X6,X11,X12] :
( X12 = X11
=> ( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(hAPP(c_member(X6),X11),X8)) ) ),
c_0_317 ).
fof(c_0_840,axiom,
! [X8,X6,X21,X22] :
( X22 = X21
=> ( hBOOL(hAPP(hAPP(c_member(X6),X21),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X22),X8)) ) ),
c_0_318 ).
fof(c_0_841,plain,
! [X5,X6,X7,X8] :
( X8 = X7
=> ( ( hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) )
=> ~ ( ~ hBOOL(hAPP(hAPP(c_member(X6),X5),X8))
=> hBOOL(hAPP(hAPP(c_member(X6),X5),X7)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_842,axiom,
! [X52,X38,X45,X53,X39,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X39),X53) = X45
=> ( X38 = hAPP(hAPP(c_List_Oappend(X6),X53),X52)
=> hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38) = hAPP(hAPP(c_List_Oappend(X6),X45),X52) ) ),
c_0_320 ).
fof(c_0_843,axiom,
! [X51,X45,X52,X53,X38,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X38),X53) = X52
=> ( X45 = hAPP(hAPP(c_List_Oappend(X6),X53),X51)
=> hAPP(hAPP(c_List_Oappend(X6),X38),X45) = hAPP(hAPP(c_List_Oappend(X6),X52),X51) ) ),
c_0_321 ).
fof(c_0_844,axiom,
! [X8,X7,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = X7 ),
c_0_322 ).
fof(c_0_845,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X7) = X8 ),
c_0_323 ).
fof(c_0_846,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),c_List_Olists(X6,X8),c_List_Olists(X6,X7)) ),
c_0_324 ).
fof(c_0_847,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X6),tc_HOL_Obool),c_List_Olistsp(X6,X8),c_List_Olistsp(X6,X7)) ),
c_0_325 ).
fof(c_0_848,axiom,
! [X17,X6] : c_List_Olistrelp(X6,X17,c_List_Olist_ONil(X6),c_List_Olist_ONil(X6)),
c_0_326 ).
fof(c_0_849,axiom,
! [X17,X6] : c_List_Olistrelp(X6,X17,c_List_Olist_ONil(X6),c_List_Olist_ONil(X6)),
c_0_327 ).
fof(c_0_850,plain,
! [X48,X6,X12,X16] :
( ( hBOOL(hAPP(X16,X12))
=> c_List_OdropWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = c_List_OdropWhile(X6,X16,X48) )
& ( ~ hBOOL(hAPP(X16,X12))
=> c_List_OdropWhile(X6,X16,hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48)) = hAPP(hAPP(c_List_Olist_OCons(X6),X12),X48) ) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_851,axiom,
! [X2,X6,X14] : c_List_Omaps(X14,X6,X2,c_List_Olist_ONil(X14)) = c_List_Olist_ONil(X6),
c_0_329 ).
fof(c_0_852,axiom,
! [X93,X6] : c_Set_Oimage(X6,X6,c_COMBI(X6),X93) = X93,
c_0_330 ).
fof(c_0_853,axiom,
! [X26,X39,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X39)
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
c_0_331 ).
fof(c_0_854,axiom,
! [X25,X39,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X39)
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
c_0_332 ).
fof(c_0_855,axiom,
! [X25,X39,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X39)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
c_0_333 ).
fof(c_0_856,axiom,
! [X26,X39,X25,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X39)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25),X39) ) ),
c_0_334 ).
fof(c_0_857,axiom,
! [X6,X7,X8] :
( X8 = X7
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
& c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ) ),
c_0_335 ).
fof(c_0_858,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8)
=> X8 = X7 ) ),
c_0_336 ).
fof(c_0_859,axiom,
! [X11,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),hAPP(c_fequal,X11)))
<=> X12 = X11 ),
c_0_337 ).
fof(c_0_860,axiom,
! [X12,X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
=> c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X12),hAPP(X1,X12)) ) ),
c_0_338 ).
fof(c_0_861,axiom,
! [X12,X1,X2,X6,X14] :
( class_Orderings_Oord(X14)
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,X14),X2,X1)
=> c_Orderings_Oord__class_Oless__eq(X14,hAPP(X2,X12),hAPP(X1,X12)) ) ),
c_0_339 ).
fof(c_0_862,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
c_0_340 ).
fof(c_0_863,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
c_0_341 ).
fof(c_0_864,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
c_0_342 ).
fof(c_0_865,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
c_0_343 ).
fof(c_0_866,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X91,X46)
=> c_Orderings_Oord__class_Oless(X6,X91,X39) ) ) ),
c_0_344 ).
fof(c_0_867,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X91)
=> c_Orderings_Oord__class_Oless(X6,X39,X91) ) ) ),
c_0_345 ).
fof(c_0_868,axiom,
! [X91,X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X91)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X91) ) ) ),
c_0_346 ).
fof(c_0_869,axiom,
! [X91,X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X91,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X91,X39) ) ) ),
c_0_347 ).
fof(c_0_870,axiom,
! [X8,X6] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olists(X6,X8))),
c_0_348 ).
fof(c_0_871,axiom,
! [X107,X108,X109] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X109,X108)
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X108,X107)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X109,X107) ) ),
c_0_349 ).
fof(c_0_872,axiom,
! [X16,X6] : c_List_Opartition(X6,X16,c_List_Olist_ONil(X6)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X6),tc_List_Olist(X6)),c_List_Olist_ONil(X6)),c_List_Olist_ONil(X6)),
c_0_350 ).
fof(c_0_873,axiom,
! [X43,X44,X6] : c_List_Osplice(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X44),X43),c_List_Olist_ONil(X6)) = hAPP(hAPP(c_List_Olist_OCons(X6),X44),X43),
c_0_351 ).
fof(c_0_874,axiom,
! [X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25) ),
c_0_352 ).
fof(c_0_875,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) ),
c_0_353 ).
fof(c_0_876,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) ),
c_0_354 ).
fof(c_0_877,plain,
! [X11,X12,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& ~ c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_878,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
& X8 != X7 ) ),
c_0_356 ).
fof(c_0_879,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
<=> ( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
| X8 = X7 ) ),
c_0_357 ).
fof(c_0_880,axiom,
! [X97,X6,X12,X16] :
( hBOOL(hAPP(X16,X12))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X16,X97)
=> hBOOL(hAPP(X97,X12)) ) ),
c_0_358 ).
fof(c_0_881,axiom,
! [X12,X97,X16,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X16,X97)
=> ( hBOOL(hAPP(X16,X12))
=> hBOOL(hAPP(X97,X12)) ) ),
c_0_359 ).
fof(c_0_882,axiom,
! [X7,X8,X6] :
( c_Orderings_Oord__class_Oless(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7) ),
c_0_360 ).
fof(c_0_883,axiom,
! [X38,X6,X45] :
( ( X45 = c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Obutlast(X6,X38) )
& ( X45 != c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = hAPP(hAPP(c_List_Oappend(X6),X38),c_List_Obutlast(X6,X45)) ) ),
c_0_361 ).
fof(c_0_884,axiom,
! [X39,X6,X38] :
( ( X38 = c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olist_ONil(X6) )
& ( X38 != c_List_Olist_ONil(X6)
=> c_List_Obutlast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Obutlast(X6,X38)) ) ),
c_0_362 ).
fof(c_0_885,axiom,
! [X8,X12,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X12),X8))
<=> hBOOL(hAPP(X8,X12)) ),
c_0_363 ).
fof(c_0_886,plain,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> X12 = X11 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_887,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( X12 = X11
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ) ),
c_0_365 ).
fof(c_0_888,axiom,
! [X12,X11,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X11,X12)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> X12 = X11 ) ) ),
c_0_366 ).
fof(c_0_889,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> X39 = X46 ) ) ),
c_0_367 ).
fof(c_0_890,axiom,
! [X39,X46,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> X39 = X46 ) ) ),
c_0_368 ).
fof(c_0_891,plain,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_892,plain,
! [X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X26)
=> ~ c_Orderings_Oord__class_Oless(X6,X26,X25) ) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_893,plain,
! [X25,X26,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X25)
=> ~ c_Orderings_Oord__class_Oless(X6,X25,X26) ) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_894,plain,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_895,plain,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ~ c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_896,plain,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless(X6,X11,X12)
| X12 = X11 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_897,plain,
! [X39,X46,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> ~ c_Orderings_Oord__class_Oless(X6,X39,X46) ) ),
inference(fof_simplification,[status(thm)],[c_0_375]) ).
fof(c_0_898,plain,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> c_Orderings_Oord__class_Oless(X6,X11,X12) ) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_899,plain,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> c_Orderings_Oord__class_Oless__eq(X6,X11,X12) ) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_900,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X104)
=> X104 = X103 ) ),
c_0_378 ).
fof(c_0_901,axiom,
! [X54,X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = hAPP(hAPP(c_List_Oappend(X6),X48),X54)
<=> X49 = X54 ),
c_0_379 ).
fof(c_0_902,axiom,
! [X54,X48,X49,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X49),X48) = hAPP(hAPP(c_List_Oappend(X6),X54),X48)
<=> X49 = X54 ),
c_0_380 ).
fof(c_0_903,axiom,
! [X36,X28,X37,X22,X6] :
( hAPP(hAPP(c_List_Olist_OCons(X6),X22),X37) = hAPP(hAPP(c_List_Olist_OCons(X6),X28),X36)
<=> ( X22 = X28
& X37 = X36 ) ),
c_0_381 ).
fof(c_0_904,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X39) ),
c_0_382 ).
fof(c_0_905,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X39) ),
c_0_383 ).
fof(c_0_906,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X46) ),
c_0_384 ).
fof(c_0_907,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46),X46) ),
c_0_385 ).
fof(c_0_908,axiom,
! [X92,X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X25,X26)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless(X6,X92,X26) ) ) ),
c_0_386 ).
fof(c_0_909,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X26,X25)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless(X6,X26,X92) ) ) ),
c_0_387 ).
fof(c_0_910,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless(X6,X92,X25)
=> c_Orderings_Oord__class_Oless(X6,X92,X26) ) ) ),
c_0_388 ).
fof(c_0_911,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless(X6,X25,X92)
=> c_Orderings_Oord__class_Oless(X6,X26,X92) ) ) ),
c_0_389 ).
fof(c_0_912,plain,
! [X12,X11,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X11,X12)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> X12 = X11 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_913,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X92)
=> c_Orderings_Oord__class_Oless__eq(X6,X26,X92) ) ) ),
c_0_391 ).
fof(c_0_914,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 = X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X92,X25)
=> c_Orderings_Oord__class_Oless__eq(X6,X92,X26) ) ) ),
c_0_392 ).
fof(c_0_915,axiom,
! [X92,X25,X26,X6] :
( class_Orderings_Oord(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless__eq(X6,X26,X92) ) ) ),
c_0_393 ).
fof(c_0_916,axiom,
! [X92,X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> ( X25 = X92
=> c_Orderings_Oord__class_Oless__eq(X6,X92,X26) ) ) ),
c_0_394 ).
fof(c_0_917,axiom,
! [X26,X25,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> ( X26 != X25
=> c_Orderings_Oord__class_Oless(X6,X25,X26) ) ) ),
c_0_395 ).
fof(c_0_918,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> ( X26 != X25
=> c_Orderings_Oord__class_Oless(X6,X26,X25) ) ) ),
c_0_396 ).
fof(c_0_919,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
| X39 = X46 ) ) ),
c_0_397 ).
fof(c_0_920,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 != X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X25,X26)
=> c_Orderings_Oord__class_Oless(X6,X25,X26) ) ) ),
c_0_398 ).
fof(c_0_921,axiom,
! [X25,X26,X6] :
( class_Orderings_Oorder(X6)
=> ( X26 != X25
=> ( c_Orderings_Oord__class_Oless__eq(X6,X26,X25)
=> c_Orderings_Oord__class_Oless(X6,X26,X25) ) ) ),
c_0_399 ).
fof(c_0_922,plain,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X12,X11)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> X12 = X11 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_400]) ).
fof(c_0_923,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
| X12 = X11 ) ) ),
c_0_401 ).
fof(c_0_924,axiom,
! [X11,X12,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
& X12 != X11 ) ) ),
c_0_402 ).
fof(c_0_925,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X46) ) ),
c_0_403 ).
fof(c_0_926,axiom,
! [X11,X12,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X12,X11)
<=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X12),X11) = X12 ) ),
c_0_404 ).
fof(c_0_927,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = X39 ) ),
c_0_405 ).
fof(c_0_928,axiom,
! [X39,X46,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = X46 ) ),
c_0_406 ).
fof(c_0_929,axiom,
! [X8,X6] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X6,tc_HOL_Obool)),X8),X8) = X8,
c_0_407 ).
fof(c_0_930,axiom,
! [X16,X48,X6] :
( c_List_Odistinct(X6,X48)
=> c_List_Odistinct(X6,c_List_OdropWhile(X6,X16,X48)) ),
c_0_408 ).
fof(c_0_931,axiom,
! [X16,X48,X6] :
( c_List_Odistinct(X6,X48)
=> c_List_Odistinct(X6,c_List_OtakeWhile(X6,X16,X48)) ),
c_0_409 ).
fof(c_0_932,axiom,
! [X39,X38,X6] :
( c_List_Odistinct(X6,X38)
=> c_List_Odistinct(X6,c_List_Oinsert(X6,X39,X38)) ),
c_0_410 ).
fof(c_0_933,axiom,
! [X71,X102] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X102,X71)
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
| X102 = X71 ) ),
c_0_411 ).
fof(c_0_934,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
=> ( X104 != X103
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103) ) ),
c_0_412 ).
fof(c_0_935,axiom,
! [X71,X102] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X102,X71)
& X102 != X71 ) ),
c_0_413 ).
fof(c_0_936,axiom,
! [X38,X6,X45] :
( X45 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X38) ),
c_0_414 ).
fof(c_0_937,axiom,
! [X38,X6,X45] :
( ( X45 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X38) )
& ( X45 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X45) ) ),
c_0_415 ).
fof(c_0_938,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
c_0_416 ).
fof(c_0_939,axiom,
! [X103,X104] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
| X104 = X103 )
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
c_0_417 ).
fof(c_0_940,axiom,
! [X46,X39] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X39,X46) ),
c_0_418 ).
fof(c_0_941,axiom,
! [X38,X6,X45] :
( X45 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Oappend(X6),X38),X45)) = c_List_Olast(X6,X45) ),
c_0_419 ).
fof(c_0_942,axiom,
! [X39,X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olast(X6,X38) ),
c_0_420 ).
fof(c_0_943,axiom,
! [X39,X6,X38] :
( ( X38 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = X39 )
& ( X38 != c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = c_List_Olast(X6,X38) ) ),
c_0_421 ).
fof(c_0_944,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
c_0_422 ).
fof(c_0_945,axiom,
! [X39,X6,X38] :
( X38 = c_List_Olist_ONil(X6)
=> c_List_Olast(X6,hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38)) = X39 ),
c_0_423 ).
fof(c_0_946,plain,
! [X97,X16] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X16),X97))
| hBOOL(X97) ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_947,plain,
! [X97,X16] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X16),X97))
| hBOOL(X16) ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_948,plain,
! [X11,X12] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X12),X11))
| X12 = X11 ),
inference(fof_simplification,[status(thm)],[c_0_426]) ).
fof(c_0_949,axiom,
! [X118,X117,X14,X6] : hAPP(c_COMBK(X6,X14,X117),X118) = X117,
c_0_427 ).
fof(c_0_950,plain,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> ( X39 != X46
=> c_Orderings_Oord__class_Oless(X6,X46,X39) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_951,plain,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( X39 != X46
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless(X6,X46,X39) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_429]) ).
fof(c_0_952,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
| X39 = X46
| c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
c_0_430 ).
fof(c_0_953,axiom,
! [X11,X12,X6] :
( class_Orderings_Olinorder(X6)
=> ( X12 != X11
<=> ( c_Orderings_Oord__class_Oless(X6,X12,X11)
| c_Orderings_Oord__class_Oless(X6,X11,X12) ) ) ),
c_0_431 ).
fof(c_0_954,axiom,
! [X39,X6] : c_List_Oinsert(X6,X39,c_List_Olist_ONil(X6)) = hAPP(hAPP(c_List_Olist_OCons(X6),X39),c_List_Olist_ONil(X6)),
c_0_432 ).
fof(c_0_955,plain,
! [X39,X46,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X46,X39)
=> c_Orderings_Oord__class_Oless(X6,X39,X46) ) ),
inference(fof_simplification,[status(thm)],[c_0_433]) ).
fof(c_0_956,plain,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_434]) ).
fof(c_0_957,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
| c_Orderings_Oord__class_Oless(X6,X46,X39) ) ),
c_0_435 ).
fof(c_0_958,axiom,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
| c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
c_0_436 ).
fof(c_0_959,plain,
! [X46,X39,X6] :
( class_Orderings_Olinorder(X6)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X6,X39,X46)
=> c_Orderings_Oord__class_Oless__eq(X6,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_437]) ).
fof(c_0_960,axiom,
! [X25,X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X25) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X25),X26) ),
c_0_438 ).
fof(c_0_961,axiom,
! [X46,X39,X6] :
( class_Lattices_Olattice(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X39) ),
c_0_439 ).
fof(c_0_962,axiom,
! [X46,X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X46) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X46),X39) ),
c_0_440 ).
fof(c_0_963,plain,
! [X46,X39] :
( X39 != X46
=> ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X39,X46)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X46,X39) ) ),
inference(fof_simplification,[status(thm)],[c_0_441]) ).
fof(c_0_964,axiom,
! [X71,X102] :
( X102 != X71
<=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X102,X71)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X102) ) ),
c_0_442 ).
fof(c_0_965,axiom,
! [X33,X14,X6] : c_Product__Type_Ointernal__split(X6,X14,X33) = c_Product__Type_Oprod_Oprod__case(X6,X14,X33),
c_0_443 ).
fof(c_0_966,axiom,
! [X103,X104] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X104) ),
c_0_444 ).
fof(c_0_967,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X46 != X39 ) ),
c_0_445 ).
fof(c_0_968,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X39 != X46 ) ),
c_0_446 ).
fof(c_0_969,axiom,
! [X46,X39,X6] :
( class_Orderings_Oorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X39,X46)
=> X39 != X46 ) ),
c_0_447 ).
fof(c_0_970,axiom,
! [X8,X6] : hBOOL(hAPP(c_List_Olistsp(X6,X8),c_List_Olist_ONil(X6))),
c_0_448 ).
fof(c_0_971,axiom,
! [X8,X6] : hBOOL(hAPP(c_List_Olistsp(X6,X8),c_List_Olist_ONil(X6))),
c_0_449 ).
fof(c_0_972,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = c_List_Olist_ONil(X6)
<=> ( X48 = c_List_Olist_ONil(X6)
& X49 = c_List_Olist_ONil(X6) ) ),
c_0_450 ).
fof(c_0_973,axiom,
! [X49,X48,X6] :
( c_List_Olist_ONil(X6) = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> ( X48 = c_List_Olist_ONil(X6)
& X49 = c_List_Olist_ONil(X6) ) ),
c_0_451 ).
fof(c_0_974,plain,
! [X39,X6] :
( class_Orderings_Opreorder(X6)
=> ~ c_Orderings_Oord__class_Oless(X6,X39,X39) ),
inference(fof_simplification,[status(thm)],[c_0_452]) ).
fof(c_0_975,plain,
! [X97,X16] :
( ~ hBOOL(X16)
| ~ hBOOL(X97)
| hBOOL(hAPP(hAPP(c_fconj,X16),X97)) ),
inference(fof_simplification,[status(thm)],[c_0_453]) ).
fof(c_0_976,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = X49
<=> X48 = c_List_Olist_ONil(X6) ),
c_0_454 ).
fof(c_0_977,axiom,
! [X49,X48,X6] :
( hAPP(hAPP(c_List_Oappend(X6),X48),X49) = X48
<=> X49 = c_List_Olist_ONil(X6) ),
c_0_455 ).
fof(c_0_978,axiom,
! [X48,X6,X49] :
( X49 = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> X48 = c_List_Olist_ONil(X6) ),
c_0_456 ).
fof(c_0_979,axiom,
! [X49,X6,X48] :
( X48 = hAPP(hAPP(c_List_Oappend(X6),X48),X49)
<=> X49 = c_List_Olist_ONil(X6) ),
c_0_457 ).
fof(c_0_980,axiom,
! [X34,X24,X6] : hAPP(hAPP(c_List_Olist_OCons(X6),X24),X34) != c_List_Olist_ONil(X6),
c_0_458 ).
fof(c_0_981,axiom,
! [X34,X24,X6] : c_List_Olist_ONil(X6) != hAPP(hAPP(c_List_Olist_OCons(X6),X24),X34),
c_0_459 ).
fof(c_0_982,axiom,
! [X105,X106] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
=> X106 != X105 ),
c_0_460 ).
fof(c_0_983,axiom,
! [X104,X103] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X104)
=> X104 != X103 ),
c_0_461 ).
fof(c_0_984,axiom,
! [X17,X6] : c_List_Olistrel(X6,c_Transitive__Closure_Ortrancl(X6,X17)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(X6),c_List_Olistrel1(X6,X17)),
c_0_462 ).
fof(c_0_985,plain,
! [X103] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X103),
inference(fof_simplification,[status(thm)],[c_0_463]) ).
fof(c_0_986,plain,
! [X103] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X103),
inference(fof_simplification,[status(thm)],[c_0_464]) ).
fof(c_0_987,axiom,
! [X39,X6,X38] : X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),
c_0_465 ).
fof(c_0_988,axiom,
! [X38,X39,X6] : hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38) != X38,
c_0_466 ).
fof(c_0_989,axiom,
! [X8,X6] : c_Relation_ORange(X6,X6,c_Relation_OId__on(X6,X8)) = X8,
c_0_467 ).
fof(c_0_990,axiom,
! [X8,X6] : c_Relation_ODomain(X6,X6,c_Relation_OId__on(X6,X8)) = X8,
c_0_468 ).
fof(c_0_991,axiom,
! [X6,X7,X8] :
( X8 = X7
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7) ),
c_0_469 ).
fof(c_0_992,axiom,
! [X6,X7,X8] :
( X8 = X7
=> c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ),
c_0_470 ).
fof(c_0_993,plain,
! [X6,X7,X8] :
( X8 = X7
=> ~ ( c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X7)
=> ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X7,X8) ) ),
inference(fof_simplification,[status(thm)],[c_0_471]) ).
fof(c_0_994,axiom,
! [X8,X6] : c_Relation_Osingle__valued(X6,X6,c_Relation_OId__on(X6,X8)),
c_0_472 ).
fof(c_0_995,axiom,
! [X11,X12] :
( X12 != X11
| hBOOL(hAPP(hAPP(c_fequal,X12),X11)) ),
c_0_473 ).
fof(c_0_996,axiom,
! [X48,X6] :
( c_List_Odistinct(X6,c_List_Orotate1(X6,X48))
<=> c_List_Odistinct(X6,X48) ),
c_0_474 ).
fof(c_0_997,axiom,
! [X8,X6] : c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X8,X8),
c_0_475 ).
fof(c_0_998,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
=> c_Relation_Otrans(tc_List_Olist(X6),c_List_Olexord(X6,X17)) ),
c_0_476 ).
fof(c_0_999,axiom,
! [X17,X6] :
( c_Relation_Otrans(X6,X17)
=> c_Relation_Otrans(tc_List_Olist(X6),c_List_Olistrel(X6,X17)) ),
c_0_477 ).
fof(c_0_1000,axiom,
! [X6,X45,X38] :
( X38 = X45
=> X38 = hAPP(hAPP(c_List_Oappend(X6),c_List_Olist_ONil(X6)),X45) ),
c_0_478 ).
fof(c_0_1001,axiom,
! [X6,X38] :
( X38 != c_List_Olist_ONil(X6)
=> ( c_List_Odistinct(X6,X38)
=> c_List_Odistinct(X6,c_List_Obutlast(X6,X38)) ) ),
c_0_479 ).
fof(c_0_1002,axiom,
! [X38,X6] : c_Nat_Osize__class_Osize(tc_List_Olist(X6),c_List_Orotate1(X6,X38)) = c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38),
c_0_480 ).
fof(c_0_1003,axiom,
! [X46,X39,X6] :
( class_Orderings_Opreorder(X6)
=> ( X39 = X46
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X46) ) ),
c_0_481 ).
fof(c_0_1004,axiom,
! [X45,X6] : hAPP(hAPP(c_List_Oappend(X6),c_List_Olist_ONil(X6)),X45) = X45,
c_0_482 ).
fof(c_0_1005,axiom,
! [X16,X6] : c_List_OdropWhile(X6,X16,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
c_0_483 ).
fof(c_0_1006,axiom,
! [X16,X6] : c_List_OtakeWhile(X6,X16,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
c_0_484 ).
fof(c_0_1007,axiom,
! [X39,X6] :
( class_Orderings_Opreorder(X6)
=> c_Orderings_Oord__class_Oless__eq(X6,X39,X39) ),
c_0_485 ).
fof(c_0_1008,axiom,
! [X38,X6] : c_List_Osplice(X6,X38,c_List_Olist_ONil(X6)) = X38,
c_0_486 ).
fof(c_0_1009,axiom,
! [X45,X6] : c_List_Osplice(X6,c_List_Olist_ONil(X6),X45) = X45,
c_0_487 ).
fof(c_0_1010,axiom,
! [X26,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X26),X26) = X26 ),
c_0_488 ).
fof(c_0_1011,axiom,
! [X39,X6] :
( class_Lattices_Osemilattice__inf(X6)
=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X6),X39),X39) = X39 ),
c_0_489 ).
fof(c_0_1012,axiom,
! [X38,X6] : hAPP(hAPP(c_List_Oappend(X6),X38),c_List_Olist_ONil(X6)) = X38,
c_0_490 ).
fof(c_0_1013,axiom,
! [X103,X104] :
( X104 = X103
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103) ),
c_0_491 ).
fof(c_0_1014,axiom,
! [X17,X6] : c_Transitive__Closure_Ortrancl(X6,c_Transitive__Closure_Ortrancl(X6,X17)) = c_Transitive__Closure_Ortrancl(X6,X17),
c_0_492 ).
fof(c_0_1015,axiom,
! [X103] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X103,X103),
c_0_493 ).
fof(c_0_1016,plain,
! [X16] :
( ~ hBOOL(hAPP(c_fNot,X16))
| ~ hBOOL(X16) ),
inference(fof_simplification,[status(thm)],[c_0_494]) ).
fof(c_0_1017,axiom,
! [X45,X38,X6] :
( c_Nat_Osize__class_Osize(tc_List_Olist(X6),X38) != c_Nat_Osize__class_Osize(tc_List_Olist(X6),X45)
=> X38 != X45 ),
c_0_495 ).
fof(c_0_1018,axiom,
! [X8,X6] : c_Relation_Otrans(X6,c_Relation_OId__on(X6,X8)),
c_0_496 ).
fof(c_0_1019,axiom,
! [X17,X6] : c_Relation_Otrans(X6,c_Transitive__Closure_Ortrancl(X6,X17)),
c_0_497 ).
fof(c_0_1020,axiom,
! [X115,X116] :
( class_Orderings_Oord(X116)
=> class_Orderings_Oord(tc_fun(X115,X116)) ),
c_0_498 ).
fof(c_0_1021,axiom,
! [X115,X116] :
( class_Orderings_Oorder(X116)
=> class_Orderings_Oorder(tc_fun(X115,X116)) ),
c_0_499 ).
fof(c_0_1022,axiom,
! [X115,X116] :
( class_Lattices_Olattice(X116)
=> class_Lattices_Olattice(tc_fun(X115,X116)) ),
c_0_500 ).
fof(c_0_1023,axiom,
! [X115,X116] :
( class_Orderings_Opreorder(X116)
=> class_Orderings_Opreorder(tc_fun(X115,X116)) ),
c_0_501 ).
fof(c_0_1024,axiom,
! [X115,X116] :
( class_Lattices_Olattice(X116)
=> class_Lattices_Osemilattice__inf(tc_fun(X115,X116)) ),
c_0_502 ).
fof(c_0_1025,axiom,
! [X48,X6] :
( c_List_Orotate1(X6,X48) = c_List_Olist_ONil(X6)
<=> X48 = c_List_Olist_ONil(X6) ),
c_0_503 ).
fof(c_0_1026,plain,
! [X16] :
( hBOOL(X16)
| hBOOL(hAPP(c_fNot,X16)) ),
inference(fof_simplification,[status(thm)],[c_0_504]) ).
fof(c_0_1027,axiom,
! [X6] : c_List_Obutlast(X6,c_List_Olist_ONil(X6)) = c_List_Olist_ONil(X6),
c_0_505 ).
fof(c_0_1028,axiom,
! [X117,X6] : hAPP(c_COMBI(X6),X117) = X117,
c_0_506 ).
fof(c_0_1029,axiom,
! [X6] : c_List_Odistinct(X6,c_List_Olist_ONil(X6)),
c_0_507 ).
fof(c_0_1030,axiom,
class_Orderings_Oord(tc_HOL_Obool),
c_0_508 ).
fof(c_0_1031,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
c_0_509 ).
fof(c_0_1032,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
c_0_510 ).
fof(c_0_1033,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
c_0_511 ).
fof(c_0_1034,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
c_0_512 ).
fof(c_0_1035,axiom,
class_Orderings_Oord(tc_Nat_Onat),
c_0_513 ).
fof(c_0_1036,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
c_0_514 ).
fof(c_0_1037,axiom,
class_Lattices_Olattice(tc_Nat_Onat),
c_0_515 ).
fof(c_0_1038,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
c_0_516 ).
fof(c_0_1039,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
c_0_517 ).
fof(c_0_1040,axiom,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
c_0_518 ).
fof(c_0_1041,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
c_0_519 ).
fof(c_0_1042,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
c_0_520 ).
fof(c_0_1043,axiom,
v_a____ != v_b____,
c_0_521 ).
fof(c_0_1044,plain,
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ) ),
inference(fof_nnf,[status(thm)],[c_0_522]) ).
fof(c_0_1045,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_523 ).
fof(c_0_1046,plain,
! [X83,X84,X85,X86,X87,X88,X89,X90] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk70_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk71_8(X83,X84,X85,X86,X87,X88,X89,X90))),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk72_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk73_8(X83,X84,X85,X86,X87,X88,X89,X90)))),X84))
| hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk72_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk73_8(X83,X84,X85,X86,X87,X88,X89,X90))),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84)))
| hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( hBOOL(hAPP(hAPP(X83,esk72_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk73_8(X83,X84,X85,X86,X87,X88,X89,X90)))
| hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( ~ hBOOL(hAPP(hAPP(X83,esk70_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk71_8(X83,X84,X85,X86,X87,X88,X89,X90)))
| hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_524])])])]) ).
fof(c_0_1047,plain,
! [X83,X84,X85,X86,X87,X88,X89,X90] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk66_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk67_8(X83,X84,X85,X86,X87,X88,X89,X90)))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84)))
| hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk66_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk67_8(X83,X84,X85,X86,X87,X88,X89,X90))),hAPP(hAPP(c_Product__Type_OPair(X90,X89),esk68_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk69_8(X83,X84,X85,X86,X87,X88,X89,X90)))),X84))
| hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( hBOOL(hAPP(hAPP(X83,esk66_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk67_8(X83,X84,X85,X86,X87,X88,X89,X90)))
| hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) )
& ( ~ hBOOL(hAPP(hAPP(X83,esk68_8(X83,X84,X85,X86,X87,X88,X89,X90)),esk69_8(X83,X84,X85,X86,X87,X88,X89,X90)))
| hBOOL(hAPP(hAPP(X83,X86),X85))
| ~ hBOOL(hAPP(hAPP(X83,X88),X87))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X90,X89),tc_prod(X90,X89))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X90,X89),tc_prod(X90,X89)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X88),X87)),hAPP(hAPP(c_Product__Type_OPair(X90,X89),X86),X85))),c_Transitive__Closure_Ortrancl(tc_prod(X90,X89),X84))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_525])])])]) ).
fof(c_0_1048,plain,
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ) ),
inference(fof_nnf,[status(thm)],[c_0_526]) ).
fof(c_0_1049,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_527 ).
fof(c_0_1050,plain,
! [X86,X87,X88,X89,X90,X91,X92] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X92,X91),tc_prod(X92,X91))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X92,X91),tc_prod(X92,X91)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X90),X89)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),esk74_7(X86,X87,X88,X89,X90,X91,X92)),esk75_7(X86,X87,X88,X89,X90,X91,X92)))),X86))
| hAPP(hAPP(c_Product__Type_OPair(X92,X91),X90),X89) = hAPP(hAPP(c_Product__Type_OPair(X92,X91),X88),X87)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X92,X91),tc_prod(X92,X91))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X92,X91),tc_prod(X92,X91)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X90),X89)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X88),X87))),c_Transitive__Closure_Ortrancl(tc_prod(X92,X91),X86))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X92,X91),tc_prod(X92,X91))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X92,X91),tc_prod(X92,X91)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),esk74_7(X86,X87,X88,X89,X90,X91,X92)),esk75_7(X86,X87,X88,X89,X90,X91,X92))),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X88),X87))),c_Transitive__Closure_Ortrancl(tc_prod(X92,X91),X86)))
| hAPP(hAPP(c_Product__Type_OPair(X92,X91),X90),X89) = hAPP(hAPP(c_Product__Type_OPair(X92,X91),X88),X87)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X92,X91),tc_prod(X92,X91))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X92,X91),tc_prod(X92,X91)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X90),X89)),hAPP(hAPP(c_Product__Type_OPair(X92,X91),X88),X87))),c_Transitive__Closure_Ortrancl(tc_prod(X92,X91),X86))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_528])])])]) ).
fof(c_0_1051,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43] :
( ( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X37,tc_fun(X36,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X37,tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_fun(X36,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X36,tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_fun(X36,tc_HOL_Obool)),X37),c_COMBC(X36,tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X36,tc_prod(X37,X36)),tc_fun(X36,tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),X37),hAPP(c_COMBB(tc_prod(X37,X36),tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool),X36),c_member(tc_prod(X37,X36)))),c_Product__Type_OPair(X37,X36)))),X35)),hAPP(hAPP(c_COMBC(X37,tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_fun(X36,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X36,tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_fun(X36,tc_HOL_Obool)),X37),c_COMBC(X36,tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X36,tc_prod(X37,X36)),tc_fun(X36,tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool)),X37),hAPP(c_COMBB(tc_prod(X37,X36),tc_fun(tc_fun(tc_prod(X37,X36),tc_HOL_Obool),tc_HOL_Obool),X36),c_member(tc_prod(X37,X36)))),c_Product__Type_OPair(X37,X36)))),X34)),X33),X32))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X37,X36)),hAPP(hAPP(c_Product__Type_OPair(X37,X36),X33),X32)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X37,X36),tc_HOL_Obool)),X35),X34))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X43,X42)),hAPP(hAPP(c_Product__Type_OPair(X43,X42),X39),X38)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X43,X42),tc_HOL_Obool)),X41),X40)))
| hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X43,tc_fun(X42,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X43,tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_fun(X42,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X42,tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_fun(X42,tc_HOL_Obool)),X43),c_COMBC(X42,tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X42,tc_prod(X43,X42)),tc_fun(X42,tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),X43),hAPP(c_COMBB(tc_prod(X43,X42),tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool),X42),c_member(tc_prod(X43,X42)))),c_Product__Type_OPair(X43,X42)))),X41)),hAPP(hAPP(c_COMBC(X43,tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_fun(X42,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X42,tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_fun(X42,tc_HOL_Obool)),X43),c_COMBC(X42,tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X42,tc_prod(X43,X42)),tc_fun(X42,tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool)),X43),hAPP(c_COMBB(tc_prod(X43,X42),tc_fun(tc_fun(tc_prod(X43,X42),tc_HOL_Obool),tc_HOL_Obool),X42),c_member(tc_prod(X43,X42)))),c_Product__Type_OPair(X43,X42)))),X40)),X39),X38)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_529])])])]) ).
fof(c_0_1052,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X20,hAPP(hAPP(c_COMBC(X20,tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_fun(tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),X20),c_COMBC(X20,tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_prod(X20,X20)),tc_fun(X20,tc_fun(tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_HOL_Obool)),X20),hAPP(c_COMBB(tc_prod(X20,X20),tc_fun(tc_fun(tc_prod(X20,X20),tc_HOL_Obool),tc_HOL_Obool),X20),c_member(tc_prod(X20,X20)))),c_Product__Type_OPair(X20,X20)))),X19)),X18))
| hBOOL(hAPP(hAPP(c_member(X20),X18),c_Wellfounded_Oacc(X20,X19))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X23),X21),c_Wellfounded_Oacc(X23,X22)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X23,hAPP(hAPP(c_COMBC(X23,tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_fun(X23,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X23,tc_fun(tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_fun(X23,tc_HOL_Obool)),X23),c_COMBC(X23,tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X23,tc_prod(X23,X23)),tc_fun(X23,tc_fun(tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_HOL_Obool)),X23),hAPP(c_COMBB(tc_prod(X23,X23),tc_fun(tc_fun(tc_prod(X23,X23),tc_HOL_Obool),tc_HOL_Obool),X23),c_member(tc_prod(X23,X23)))),c_Product__Type_OPair(X23,X23)))),X22)),X21)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_530])])])]) ).
fof(c_0_1053,plain,
! [X49,X50,X51,X52] : c_List_Opartition(X52,X51,hAPP(hAPP(c_List_Olist_OCons(X52),X50),X49)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X52),tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),hAPP(hAPP(c_COMBS(tc_List_Olist(X52),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X52),tc_fun(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),tc_fun(tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),tc_List_Olist(X52)),c_COMBS(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_fun(tc_List_Olist(X52),tc_fun(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),tc_List_Olist(X52)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_fun(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_List_Olist(X52)),c_If(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),hAPP(X51,X50)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X52),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_List_Olist(X52)),c_Product__Type_OPair(tc_List_Olist(X52),tc_List_Olist(X52))),hAPP(c_List_Olist_OCons(X52),X50))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X52),tc_fun(tc_List_Olist(X52),tc_List_Olist(X52)),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),tc_fun(tc_fun(tc_List_Olist(X52),tc_List_Olist(X52)),tc_fun(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)))),tc_List_Olist(X52)),c_COMBB(tc_List_Olist(X52),tc_prod(tc_List_Olist(X52),tc_List_Olist(X52)),tc_List_Olist(X52))),c_Product__Type_OPair(tc_List_Olist(X52),tc_List_Olist(X52)))),hAPP(c_List_Olist_OCons(X52),X50)))),c_List_Opartition(X52,X51,X49)),
inference(variable_rename,[status(thm)],[c_0_531]) ).
fof(c_0_1054,plain,
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ) ),
inference(fof_nnf,[status(thm)],[c_0_532]) ).
fof(c_0_1055,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X35,tc_fun(X34,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X35,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),X35),c_COMBC(X34,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_prod(X35,X34)),tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),X35),hAPP(c_COMBB(tc_prod(X35,X34),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool),X34),c_member(tc_prod(X35,X34)))),c_Product__Type_OPair(X35,X34)))),X33),hAPP(hAPP(c_COMBC(X35,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),X35),c_COMBC(X34,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_prod(X35,X34)),tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),X35),hAPP(c_COMBB(tc_prod(X35,X34),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool),X34),c_member(tc_prod(X35,X34)))),c_Product__Type_OPair(X35,X34)))),X32))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),X33,X32) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),X37,X36)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X39,tc_fun(X38,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X39,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),X39),c_COMBC(X38,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_prod(X39,X38)),tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),X39),hAPP(c_COMBB(tc_prod(X39,X38),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool),X38),c_member(tc_prod(X39,X38)))),c_Product__Type_OPair(X39,X38)))),X37),hAPP(hAPP(c_COMBC(X39,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),X39),c_COMBC(X38,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_prod(X39,X38)),tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),X39),hAPP(c_COMBB(tc_prod(X39,X38),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool),X38),c_member(tc_prod(X39,X38)))),c_Product__Type_OPair(X39,X38)))),X36)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_533])])])]) ).
fof(c_0_1056,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_534 ).
fof(c_0_1057,plain,
! [X76,X77,X78,X79,X80,X81] :
( ( X81 = hAPP(hAPP(c_Product__Type_OPair(X80,X79),esk88_6(X76,X77,X78,X79,X80,X81)),esk89_6(X76,X77,X78,X79,X80,X81))
| hBOOL(hAPP(hAPP(c_member(X78),X77),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X80,X79,tc_fun(X78,tc_HOL_Obool)),X76),X81))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X78),X77),hAPP(hAPP(X76,esk88_6(X76,X77,X78,X79,X80,X81)),esk89_6(X76,X77,X78,X79,X80,X81))))
| hBOOL(hAPP(hAPP(c_member(X78),X77),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X80,X79,tc_fun(X78,tc_HOL_Obool)),X76),X81))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_535])])])]) ).
fof(c_0_1058,plain,
! [X31,X32,X33,X34,X35,X36] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk8_6(X31,X32,X33,X34,X35,X36))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk8_6(X31,X32,X33,X34,X35,X36))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk8_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_536])])])]) ).
fof(c_0_1059,plain,
! [X31,X32,X33,X34,X35,X36] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk7_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk7_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(X32,esk7_6(X31,X32,X33,X34,X35,X36))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(X31,esk7_6(X31,X32,X33,X34,X35,X36))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X36),X35)),hAPP(v_F,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X34),X33)),hAPP(v_F,X31)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X31),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X32),c_Arrow__Order__Mirabelle_OProf))
| X35 = X34
| X36 = X33
| X34 = X33
| X36 = X35 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_537])])])]) ).
fof(c_0_1060,plain,
! [X62,X63,X64,X65,X66,X67,X68,X69] :
( ( ~ c_List_Olistrelp(X65,hAPP(hAPP(c_COMBC(X65,tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_fun(X65,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X65,tc_fun(tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_fun(X65,tc_HOL_Obool)),X65),c_COMBC(X65,tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X65,tc_prod(X65,X65)),tc_fun(X65,tc_fun(tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_HOL_Obool)),X65),hAPP(c_COMBB(tc_prod(X65,X65),tc_fun(tc_fun(tc_prod(X65,X65),tc_HOL_Obool),tc_HOL_Obool),X65),c_member(tc_prod(X65,X65)))),c_Product__Type_OPair(X65,X65)))),X64),X63,X62)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X65),tc_List_Olist(X65))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X65),tc_List_Olist(X65)),X63),X62)),c_List_Olistrel(X65,X64))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X67),X66)),c_List_Olistrel(X69,X68)))
| c_List_Olistrelp(X69,hAPP(hAPP(c_COMBC(X69,tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_fun(X69,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X69,tc_fun(tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_fun(X69,tc_HOL_Obool)),X69),c_COMBC(X69,tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X69,tc_prod(X69,X69)),tc_fun(X69,tc_fun(tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_HOL_Obool)),X69),hAPP(c_COMBB(tc_prod(X69,X69),tc_fun(tc_fun(tc_prod(X69,X69),tc_HOL_Obool),tc_HOL_Obool),X69),c_member(tc_prod(X69,X69)))),c_Product__Type_OPair(X69,X69)))),X68),X67,X66) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_538])])])]) ).
fof(c_0_1061,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25] :
( ( ~ c_Predicate_ODomainP(X21,X20,hAPP(hAPP(c_COMBC(X21,tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),X21),c_COMBC(X20,tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_prod(X21,X20)),tc_fun(X20,tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),X21),hAPP(c_COMBB(tc_prod(X21,X20),tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool),X20),c_member(tc_prod(X21,X20)))),c_Product__Type_OPair(X21,X20)))),X19),X18)
| hBOOL(hAPP(hAPP(c_member(X21),X18),c_Relation_ODomain(X21,X20,X19))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X25),X22),c_Relation_ODomain(X25,X24,X23)))
| c_Predicate_ODomainP(X25,X24,hAPP(hAPP(c_COMBC(X25,tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_fun(X24,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X24,tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_fun(X24,tc_HOL_Obool)),X25),c_COMBC(X24,tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X24,tc_prod(X25,X24)),tc_fun(X24,tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),X25),hAPP(c_COMBB(tc_prod(X25,X24),tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool),X24),c_member(tc_prod(X25,X24)))),c_Product__Type_OPair(X25,X24)))),X23),X22) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_539])])])]) ).
fof(c_0_1062,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25] :
( ( ~ c_Predicate_ORangeP(X21,X20,hAPP(hAPP(c_COMBC(X21,tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_fun(X20,tc_HOL_Obool)),X21),c_COMBC(X20,tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X20,tc_prod(X21,X20)),tc_fun(X20,tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool)),X21),hAPP(c_COMBB(tc_prod(X21,X20),tc_fun(tc_fun(tc_prod(X21,X20),tc_HOL_Obool),tc_HOL_Obool),X20),c_member(tc_prod(X21,X20)))),c_Product__Type_OPair(X21,X20)))),X19),X18)
| hBOOL(hAPP(hAPP(c_member(X20),X18),c_Relation_ORange(X21,X20,X19))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X24),X22),c_Relation_ORange(X25,X24,X23)))
| c_Predicate_ORangeP(X25,X24,hAPP(hAPP(c_COMBC(X25,tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_fun(X24,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X24,tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_fun(X24,tc_HOL_Obool)),X25),c_COMBC(X24,tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X24,tc_prod(X25,X24)),tc_fun(X24,tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool)),X25),hAPP(c_COMBB(tc_prod(X25,X24),tc_fun(tc_fun(tc_prod(X25,X24),tc_HOL_Obool),tc_HOL_Obool),X24),c_member(tc_prod(X25,X24)))),c_Product__Type_OPair(X25,X24)))),X23),X22) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_540])])])]) ).
fof(c_0_1063,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] :
( ( hAPP(hAPP(c_COMBC(X35,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),X35),c_COMBC(X34,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_prod(X35,X34)),tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),X35),hAPP(c_COMBB(tc_prod(X35,X34),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool),X34),c_member(tc_prod(X35,X34)))),c_Product__Type_OPair(X35,X34)))),X33) != hAPP(hAPP(c_COMBC(X35,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_fun(X34,tc_HOL_Obool)),X35),c_COMBC(X34,tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X34,tc_prod(X35,X34)),tc_fun(X34,tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool)),X35),hAPP(c_COMBB(tc_prod(X35,X34),tc_fun(tc_fun(tc_prod(X35,X34),tc_HOL_Obool),tc_HOL_Obool),X34),c_member(tc_prod(X35,X34)))),c_Product__Type_OPair(X35,X34)))),X32)
| X33 = X32 )
& ( X37 != X36
| hAPP(hAPP(c_COMBC(X39,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),X39),c_COMBC(X38,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_prod(X39,X38)),tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),X39),hAPP(c_COMBB(tc_prod(X39,X38),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool),X38),c_member(tc_prod(X39,X38)))),c_Product__Type_OPair(X39,X38)))),X37) = hAPP(hAPP(c_COMBC(X39,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_fun(X38,tc_HOL_Obool)),X39),c_COMBC(X38,tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X38,tc_prod(X39,X38)),tc_fun(X38,tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool)),X39),hAPP(c_COMBB(tc_prod(X39,X38),tc_fun(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),tc_HOL_Obool),X38),c_member(tc_prod(X39,X38)))),c_Product__Type_OPair(X39,X38)))),X36) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])])])]) ).
fof(c_0_1064,plain,
! [X76,X77,X78,X79,X80,X81] :
( ( X76 = hAPP(hAPP(c_Product__Type_OPair(X79,X78),esk86_6(X76,X77,X78,X79,X80,X81)),esk87_6(X76,X77,X78,X79,X80,X81))
| ~ hBOOL(hAPP(hAPP(c_member(X81),X80),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X79,X78,tc_fun(X81,tc_HOL_Obool)),X77),X76))) )
& ( hBOOL(hAPP(hAPP(c_member(X81),X80),hAPP(hAPP(X77,esk86_6(X76,X77,X78,X79,X80,X81)),esk87_6(X76,X77,X78,X79,X80,X81))))
| ~ hBOOL(hAPP(hAPP(c_member(X81),X80),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X79,X78,tc_fun(X81,tc_HOL_Obool)),X77),X76))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_542])])])]) ).
fof(c_0_1065,plain,
! [X73,X74,X75,X76,X77] :
( ( X76 = hAPP(hAPP(c_List_Olist_OCons(X77),X75),esk77_5(X73,X74,X75,X76,X77))
| X76 = hAPP(hAPP(c_List_Olist_OCons(X77),esk76_5(X73,X74,X75,X76,X77)),X74)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X76),hAPP(hAPP(c_List_Olist_OCons(X77),X75),X74))),c_List_Olistrel1(X77,X73))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),esk77_5(X73,X74,X75,X76,X77)),X74)),c_List_Olistrel1(X77,X73)))
| X76 = hAPP(hAPP(c_List_Olist_OCons(X77),esk76_5(X73,X74,X75,X76,X77)),X74)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X76),hAPP(hAPP(c_List_Olist_OCons(X77),X75),X74))),c_List_Olistrel1(X77,X73))) )
& ( X76 = hAPP(hAPP(c_List_Olist_OCons(X77),X75),esk77_5(X73,X74,X75,X76,X77))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X77,X77)),hAPP(hAPP(c_Product__Type_OPair(X77,X77),esk76_5(X73,X74,X75,X76,X77)),X75)),X73))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X76),hAPP(hAPP(c_List_Olist_OCons(X77),X75),X74))),c_List_Olistrel1(X77,X73))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),esk77_5(X73,X74,X75,X76,X77)),X74)),c_List_Olistrel1(X77,X73)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X77,X77)),hAPP(hAPP(c_Product__Type_OPair(X77,X77),esk76_5(X73,X74,X75,X76,X77)),X75)),X73))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X76),hAPP(hAPP(c_List_Olist_OCons(X77),X75),X74))),c_List_Olistrel1(X77,X73))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_543])])])]) ).
fof(c_0_1066,plain,
! [X5,X6] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X5)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X5)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X6)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X6)),v_c____),v_b____)),v_b____),v_a____))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_544])])])]) ).
fof(c_0_1067,plain,
! [X61,X62,X63,X64,X65] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X65),tc_List_Olist(X65))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X65),tc_List_Olist(X65)),hAPP(hAPP(c_List_Oappend(X65),X64),X63)),hAPP(hAPP(c_List_Oappend(X65),X64),X62))),c_List_Olexord(X65,X61)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X65,X65)),hAPP(hAPP(c_Product__Type_OPair(X65,X65),esk43_5(X61,X62,X63,X64,X65)),esk43_5(X61,X62,X63,X64,X65))),X61))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X65),tc_List_Olist(X65))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X65),tc_List_Olist(X65)),X63),X62)),c_List_Olexord(X65,X61))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_545])])]) ).
fof(c_0_1068,plain,
! [X91,X92,X93,X94,X95,X96,X97,X98] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X98,X97)),X96),c_FuncSet_OPi(X98,X97,X95,c_COMBK(tc_fun(X97,tc_HOL_Obool),X98,X94))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X97,X93)),X92),c_FuncSet_OPi(X97,X93,X94,c_COMBK(tc_fun(X93,tc_HOL_Obool),X97,X91))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X98,X93)),c_FuncSet_Ocompose(X98,X97,X93,X95,X92,X96)),c_FuncSet_OPi(X98,X93,X95,c_COMBK(tc_fun(X93,tc_HOL_Obool),X98,X91)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_546])]) ).
fof(c_0_1069,plain,
! [X95,X96,X97,X98,X99,X100] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X98),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X97),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(X100),esk84_6(X95,X96,X97,X98,X99,X100)),X99)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X97),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X98),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(X100),esk84_6(X95,X96,X97,X98,X99,X100)),X99)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X98),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X97),c_FuncSet_OPi(X100,X96,X99,X95)))
| hAPP(X98,esk84_6(X95,X96,X97,X98,X99,X100)) != hAPP(X97,esk84_6(X95,X96,X97,X98,X99,X100)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X97),c_FuncSet_OPi(X100,X96,X99,X95)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X100,X96)),X98),c_FuncSet_OPi(X100,X96,X99,X95)))
| hAPP(X98,esk84_6(X95,X96,X97,X98,X99,X100)) != hAPP(X97,esk84_6(X95,X96,X97,X98,X99,X100)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_547])])])]) ).
fof(c_0_1070,plain,
! [X15,X16,X17,X18,X19] :
( ( hBOOL(hAPP(hAPP(c_member(X19),esk85_5(X15,X16,X17,X18,X19)),X18))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,X15))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X17),hAPP(X16,esk85_5(X15,X16,X17,X18,X19))),hAPP(X15,esk85_5(X15,X16,X17,X18,X19))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,X15))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_548])])])]) ).
fof(c_0_1071,plain,
! [X15,X16,X17,X18,X19] :
( ( hBOOL(hAPP(hAPP(c_member(X19),esk23_5(X15,X16,X17,X18,X19)),X18))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,X15))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X17),hAPP(X16,esk23_5(X15,X16,X17,X18,X19))),hAPP(X15,esk23_5(X15,X16,X17,X18,X19))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,X15))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_549])])])]) ).
fof(c_0_1072,plain,
! [X73,X74,X75,X76,X77] :
( ( X74 = hAPP(hAPP(c_List_Olist_OCons(X77),X76),esk45_5(X73,X74,X75,X76,X77))
| X74 = hAPP(hAPP(c_List_Olist_OCons(X77),esk44_5(X73,X74,X75,X76,X77)),X75)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),hAPP(hAPP(c_List_Olist_OCons(X77),X76),X75)),X74)),c_List_Olistrel1(X77,X73))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X75),esk45_5(X73,X74,X75,X76,X77))),c_List_Olistrel1(X77,X73)))
| X74 = hAPP(hAPP(c_List_Olist_OCons(X77),esk44_5(X73,X74,X75,X76,X77)),X75)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),hAPP(hAPP(c_List_Olist_OCons(X77),X76),X75)),X74)),c_List_Olistrel1(X77,X73))) )
& ( X74 = hAPP(hAPP(c_List_Olist_OCons(X77),X76),esk45_5(X73,X74,X75,X76,X77))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X77,X77)),hAPP(hAPP(c_Product__Type_OPair(X77,X77),X76),esk44_5(X73,X74,X75,X76,X77))),X73))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),hAPP(hAPP(c_List_Olist_OCons(X77),X76),X75)),X74)),c_List_Olistrel1(X77,X73))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),X75),esk45_5(X73,X74,X75,X76,X77))),c_List_Olistrel1(X77,X73)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X77,X77)),hAPP(hAPP(c_Product__Type_OPair(X77,X77),X76),esk44_5(X73,X74,X75,X76,X77))),X73))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X77),tc_List_Olist(X77))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X77),tc_List_Olist(X77)),hAPP(hAPP(c_List_Olist_OCons(X77),X76),X75)),X74)),c_List_Olistrel1(X77,X73))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_550])])])]) ).
fof(c_0_1073,plain,
! [X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X107,X106)),X105),c_FuncSet_OPi(X107,X106,X104,c_COMBK(tc_fun(X106,tc_HOL_Obool),X107,X103))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X106,X102)),X101),c_FuncSet_OPi(X106,X102,X103,c_COMBK(tc_fun(X102,tc_HOL_Obool),X106,X100))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X102,X99)),X98),c_FuncSet_OPi(X102,X99,X100,c_COMBK(tc_fun(X99,tc_HOL_Obool),X102,X97))))
| c_FuncSet_Ocompose(X107,X102,X99,X104,X98,c_FuncSet_Ocompose(X107,X106,X102,X104,X101,X105)) = c_FuncSet_Ocompose(X107,X106,X99,X104,c_FuncSet_Ocompose(X106,X102,X99,X103,X98,X101),X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_551])]) ).
fof(c_0_1074,plain,
! [X111,X112,X113,X114,X115,X116,X117,X118,X119] :
( ( c_Nat_Osize__class_Osize(tc_List_Olist(X114),X113) = c_Nat_Osize__class_Osize(tc_List_Olist(X114),X112)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X114),tc_List_Olist(X114))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X114),tc_List_Olist(X114)),X113),X112)),c_List_Olistrel(X114,X111))) )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X114),X113))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X114,X114)),hAPP(hAPP(c_Product__Type_OPair(X114,X114),c_List_Onth(X114,X113,X115)),c_List_Onth(X114,X112,X115))),X111))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X114),tc_List_Olist(X114))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X114),tc_List_Olist(X114)),X113),X112)),c_List_Olistrel(X114,X111))) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk96_4(X116,X117,X118,X119),c_Nat_Osize__class_Osize(tc_List_Olist(X119),X118))
| c_Nat_Osize__class_Osize(tc_List_Olist(X119),X118) != c_Nat_Osize__class_Osize(tc_List_Olist(X119),X117)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X119),tc_List_Olist(X119))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X119),tc_List_Olist(X119)),X118),X117)),c_List_Olistrel(X119,X116))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X119,X119)),hAPP(hAPP(c_Product__Type_OPair(X119,X119),c_List_Onth(X119,X118,esk96_4(X116,X117,X118,X119))),c_List_Onth(X119,X117,esk96_4(X116,X117,X118,X119)))),X116))
| c_Nat_Osize__class_Osize(tc_List_Olist(X119),X118) != c_Nat_Osize__class_Osize(tc_List_Olist(X119),X117)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X119),tc_List_Olist(X119))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X119),tc_List_Olist(X119)),X118),X117)),c_List_Olistrel(X119,X116))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_552])])])])])]) ).
fof(c_0_1075,plain,
! [X65,X66,X67,X68,X69] :
( ( X68 = hAPP(hAPP(c_List_Olist_OCons(X69),esk37_5(X65,X66,X67,X68,X69)),esk38_5(X65,X66,X67,X68,X69))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),hAPP(hAPP(c_List_Olist_OCons(X69),X67),X66))),c_List_Olistrel(X69,X65))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X69)),hAPP(hAPP(c_Product__Type_OPair(X69,X69),esk37_5(X65,X66,X67,X68,X69)),X67)),X65))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),hAPP(hAPP(c_List_Olist_OCons(X69),X67),X66))),c_List_Olistrel(X69,X65))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),esk38_5(X65,X66,X67,X68,X69)),X66)),c_List_Olistrel(X69,X65)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),hAPP(hAPP(c_List_Olist_OCons(X69),X67),X66))),c_List_Olistrel(X69,X65))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_553])])])]) ).
fof(c_0_1076,plain,
! [X43,X44,X45,X46,X47,X49,X54,X55] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X44)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X45)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X44,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X45,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X45),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X44),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X43) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X45)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X44)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X44,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X45,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X45),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X44),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X43) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X44)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X45)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X44,esk17_5(X43,X44,X45,X46,X47))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X45,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X45),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X44),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X43) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X45)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X43,X44)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X44,esk17_5(X43,X44,X45,X46,X47))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X46),X47)),hAPP(X45,esk17_5(X43,X44,X45,X46,X47))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X45),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X44),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X43) )
& ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk18_1(X49)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_OIIA(X49) )
& ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk19_1(X49)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_OIIA(X49) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(esk18_1(X49),X54)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(esk19_1(X49),X54)))
| c_Arrow__Order__Mirabelle_OIIA(X49) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(esk19_1(X49),X55)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(esk18_1(X49),X55)))
| c_Arrow__Order__Mirabelle_OIIA(X49) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(X49,esk18_1(X49))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(X49,esk19_1(X49))))
| c_Arrow__Order__Mirabelle_OIIA(X49) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(X49,esk18_1(X49))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X49)),esk21_1(X49))),hAPP(X49,esk19_1(X49))))
| c_Arrow__Order__Mirabelle_OIIA(X49) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_554])])])])])]) ).
fof(c_0_1077,plain,
! [X15,X16,X17,X18,X19] :
( ( hBOOL(hAPP(hAPP(c_member(X19),esk24_5(X15,X16,X17,X18,X19)),X18))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,c_COMBK(tc_fun(X17,tc_HOL_Obool),X19,X15)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X17),hAPP(X16,esk24_5(X15,X16,X17,X18,X19))),X15))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X17)),X16),c_FuncSet_OPi(X19,X17,X18,c_COMBK(tc_fun(X17,tc_HOL_Obool),X19,X15)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_555])])])]) ).
fof(c_0_1078,plain,
! [X9,X10] : c_Relation_OId__on(X10,X9) = hAPP(c_Product__Type_Oprod_Oprod__case(X10,X10,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X10,tc_HOL_Obool,tc_fun(X10,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X10,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X10,tc_HOL_Obool)),X10),c_COMBC(X10,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X10,tc_HOL_Obool),tc_fun(X10,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X10),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X10),c_fconj)),c_fequal))),X9)),
inference(variable_rename,[status(thm)],[c_0_556]) ).
fof(c_0_1079,plain,
! [X64,X65,X66,X67,X68] :
( ( X65 = hAPP(hAPP(c_List_Olist_OCons(X68),esk35_5(X64,X65,X66,X67,X68)),esk36_5(X64,X65,X66,X67,X68))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X68),tc_List_Olist(X68))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X68),tc_List_Olist(X68)),hAPP(hAPP(c_List_Olist_OCons(X68),X67),X66)),X65)),c_List_Olistrel(X68,X64))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),X67),esk35_5(X64,X65,X66,X67,X68))),X64))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X68),tc_List_Olist(X68))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X68),tc_List_Olist(X68)),hAPP(hAPP(c_List_Olist_OCons(X68),X67),X66)),X65)),c_List_Olistrel(X68,X64))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X68),tc_List_Olist(X68))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X68),tc_List_Olist(X68)),X66),esk36_5(X64,X65,X66,X67,X68))),c_List_Olistrel(X68,X64)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X68),tc_List_Olist(X68))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X68),tc_List_Olist(X68)),hAPP(hAPP(c_List_Olist_OCons(X68),X67),X66)),X65)),c_List_Olistrel(X68,X64))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_557])])])]) ).
fof(c_0_1080,plain,
! [X21,X22,X23,X24] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X24,X24)),hAPP(hAPP(c_Product__Type_OPair(X24,X24),esk28_4(X21,X22,X23,X24)),esk29_4(X21,X22,X23,X24))),X23))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X22),X21)),c_List_Olexord(X24,X23)))
| X22 = X21
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X21),X22)),c_List_Olexord(X24,X23))) )
& ( esk28_4(X21,X22,X23,X24) != esk29_4(X21,X22,X23,X24)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X22),X21)),c_List_Olexord(X24,X23)))
| X22 = X21
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X21),X22)),c_List_Olexord(X24,X23))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X24,X24)),hAPP(hAPP(c_Product__Type_OPair(X24,X24),esk29_4(X21,X22,X23,X24)),esk28_4(X21,X22,X23,X24))),X23))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X22),X21)),c_List_Olexord(X24,X23)))
| X22 = X21
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X24),tc_List_Olist(X24))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X24),tc_List_Olist(X24)),X21),X22)),c_List_Olexord(X24,X23))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_558])])])]) ).
fof(c_0_1081,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( hBOOL(hAPP(c_List_Olistsp(X16,X15),X13))
| ~ hBOOL(hAPP(c_List_Olistsp(X16,hAPP(hAPP(c_COMBS(X16,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X16),c_fconj),X15)),X14)),X13)) )
& ( hBOOL(hAPP(c_List_Olistsp(X16,X14),X13))
| ~ hBOOL(hAPP(c_List_Olistsp(X16,hAPP(hAPP(c_COMBS(X16,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X16),c_fconj),X15)),X14)),X13)) )
& ( ~ hBOOL(hAPP(c_List_Olistsp(X20,X19),X17))
| ~ hBOOL(hAPP(c_List_Olistsp(X20,X18),X17))
| hBOOL(hAPP(c_List_Olistsp(X20,hAPP(hAPP(c_COMBS(X20,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X20),c_fconj),X19)),X18)),X17)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_559])])])])]) ).
fof(c_0_1082,plain,
! [X87,X88,X89,X90] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X90)),X89),c_List_Olists(X90,X88)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X90)),X89),c_List_Olists(X90,X87)))
| hBOOL(hAPP(c_List_Olistsp(X90,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X90,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X90,tc_fun(X90,tc_HOL_Obool),tc_HOL_Obool),c_member(X90)),X88)),hAPP(hAPP(c_COMBC(X90,tc_fun(X90,tc_HOL_Obool),tc_HOL_Obool),c_member(X90)),X87))),X89)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_560])]) ).
fof(c_0_1083,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( ( X54 = X52
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X54),X52)),c_List_Olistrel1(X55,X50)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Oappend(X55),X54),hAPP(hAPP(c_List_Olist_OCons(X55),X53),c_List_Olist_ONil(X55)))),hAPP(hAPP(c_List_Oappend(X55),X52),hAPP(hAPP(c_List_Olist_OCons(X55),X51),c_List_Olist_ONil(X55))))),c_List_Olistrel1(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X53),X51)),X50))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X54),X52)),c_List_Olistrel1(X55,X50)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Oappend(X55),X54),hAPP(hAPP(c_List_Olist_OCons(X55),X53),c_List_Olist_ONil(X55)))),hAPP(hAPP(c_List_Oappend(X55),X52),hAPP(hAPP(c_List_Olist_OCons(X55),X51),c_List_Olist_ONil(X55))))),c_List_Olistrel1(X55,X50))) )
& ( X54 = X52
| X53 = X51
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Oappend(X55),X54),hAPP(hAPP(c_List_Olist_OCons(X55),X53),c_List_Olist_ONil(X55)))),hAPP(hAPP(c_List_Oappend(X55),X52),hAPP(hAPP(c_List_Olist_OCons(X55),X51),c_List_Olist_ONil(X55))))),c_List_Olistrel1(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X53),X51)),X50))
| X53 = X51
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Oappend(X55),X54),hAPP(hAPP(c_List_Olist_OCons(X55),X53),c_List_Olist_ONil(X55)))),hAPP(hAPP(c_List_Oappend(X55),X52),hAPP(hAPP(c_List_Olist_OCons(X55),X51),c_List_Olist_ONil(X55))))),c_List_Olistrel1(X55,X50))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),X60),X58)),c_List_Olistrel1(X61,X56)))
| X59 != X57
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Oappend(X61),X60),hAPP(hAPP(c_List_Olist_OCons(X61),X59),c_List_Olist_ONil(X61)))),hAPP(hAPP(c_List_Oappend(X61),X58),hAPP(hAPP(c_List_Olist_OCons(X61),X57),c_List_Olist_ONil(X61))))),c_List_Olistrel1(X61,X56))) )
& ( X60 != X58
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X61,X61)),hAPP(hAPP(c_Product__Type_OPair(X61,X61),X59),X57)),X56))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Oappend(X61),X60),hAPP(hAPP(c_List_Olist_OCons(X61),X59),c_List_Olist_ONil(X61)))),hAPP(hAPP(c_List_Oappend(X61),X58),hAPP(hAPP(c_List_Olist_OCons(X61),X57),c_List_Olist_ONil(X61))))),c_List_Olistrel1(X61,X56))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_561])])])])]) ).
fof(c_0_1084,plain,
! [X91,X92,X93,X94,X95] :
( ( hBOOL(hAPP(hAPP(c_member(X95),esk95_5(X91,X92,X93,X94,X95)),X94))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X95,X93),tc_HOL_Obool),c_FuncSet_OPi(X95,X93,X94,X92),c_FuncSet_OPi(X95,X93,X94,X91)) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X93,tc_HOL_Obool),hAPP(X92,esk95_5(X91,X92,X93,X94,X95)),hAPP(X91,esk95_5(X91,X92,X93,X94,X95)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X95,X93),tc_HOL_Obool),c_FuncSet_OPi(X95,X93,X94,X92),c_FuncSet_OPi(X95,X93,X94,X91)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_562])])])]) ).
fof(c_0_1085,plain,
! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51] :
( ( X41 = X39
| hBOOL(hAPP(hAPP(c_member(tc_prod(X43,X43)),hAPP(hAPP(c_Product__Type_OPair(X43,X43),X41),X39)),X37))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X43,X42),tc_prod(X43,X42))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X43,X42),tc_prod(X43,X42)),hAPP(hAPP(c_Product__Type_OPair(X43,X42),X41),X40)),hAPP(hAPP(c_Product__Type_OPair(X43,X42),X39),X38))),c_Wellfounded_Olex__prod(X43,X42,X37,X36))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X42,X42)),hAPP(hAPP(c_Product__Type_OPair(X42,X42),X40),X38)),X36))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X43,X43)),hAPP(hAPP(c_Product__Type_OPair(X43,X43),X41),X39)),X37))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X43,X42),tc_prod(X43,X42))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X43,X42),tc_prod(X43,X42)),hAPP(hAPP(c_Product__Type_OPair(X43,X42),X41),X40)),hAPP(hAPP(c_Product__Type_OPair(X43,X42),X39),X38))),c_Wellfounded_Olex__prod(X43,X42,X37,X36))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X51,X51)),hAPP(hAPP(c_Product__Type_OPair(X51,X51),X49),X47)),X45))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X51,X50),tc_prod(X51,X50))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X51,X50),tc_prod(X51,X50)),hAPP(hAPP(c_Product__Type_OPair(X51,X50),X49),X48)),hAPP(hAPP(c_Product__Type_OPair(X51,X50),X47),X46))),c_Wellfounded_Olex__prod(X51,X50,X45,X44))) )
& ( X49 != X47
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X50,X50)),hAPP(hAPP(c_Product__Type_OPair(X50,X50),X48),X46)),X44))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X51,X50),tc_prod(X51,X50))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X51,X50),tc_prod(X51,X50)),hAPP(hAPP(c_Product__Type_OPair(X51,X50),X49),X48)),hAPP(hAPP(c_Product__Type_OPair(X51,X50),X47),X46))),c_Wellfounded_Olex__prod(X51,X50,X45,X44))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_563])])])])]) ).
fof(c_0_1086,plain,
! [X42,X43] :
( ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk10_2(X42,X43)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Odictator(X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X43),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) )
& ( esk11_2(X42,X43) != esk12_2(X42,X43)
| c_Arrow__Order__Mirabelle_Odictator(X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X43),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X42,X43)),esk12_2(X42,X43))),hAPP(esk10_2(X42,X43),X42)))
| c_Arrow__Order__Mirabelle_Odictator(X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X43),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X42,X43)),esk12_2(X42,X43))),hAPP(X43,esk10_2(X42,X43))))
| c_Arrow__Order__Mirabelle_Odictator(X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X43),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_564])])])]) ).
fof(c_0_1087,plain,
! [X66,X67,X68,X69] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X69)),hAPP(hAPP(c_Product__Type_OPair(X69,X69),esk39_4(X66,X67,X68,X69)),esk40_4(X66,X67,X68,X69))),X66))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),X67)),c_List_Olistrel1(X69,X66))) )
& ( X68 = hAPP(hAPP(c_List_Oappend(X69),esk41_4(X66,X67,X68,X69)),hAPP(hAPP(c_List_Olist_OCons(X69),esk39_4(X66,X67,X68,X69)),esk42_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),X67)),c_List_Olistrel1(X69,X66))) )
& ( X67 = hAPP(hAPP(c_List_Oappend(X69),esk41_4(X66,X67,X68,X69)),hAPP(hAPP(c_List_Olist_OCons(X69),esk40_4(X66,X67,X68,X69)),esk42_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),X67)),c_List_Olistrel1(X69,X66))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_565])])])]) ).
fof(c_0_1088,plain,
! [X32,X33,X34,X35,X36,X37,X38,X39] :
( ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X35,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X35,tc_fun(X35,tc_HOL_Obool),tc_HOL_Obool),c_member(X35)),X34)),hAPP(hAPP(c_COMBC(X35,tc_fun(X35,tc_HOL_Obool),tc_HOL_Obool),c_member(X35)),X33)),X32))
| hBOOL(hAPP(hAPP(c_member(X35),X32),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X35,tc_HOL_Obool)),X34),X33))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X39),X36),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X39,tc_HOL_Obool)),X38),X37)))
| hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X39,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X39,tc_fun(X39,tc_HOL_Obool),tc_HOL_Obool),c_member(X39)),X38)),hAPP(hAPP(c_COMBC(X39,tc_fun(X39,tc_HOL_Obool),tc_HOL_Obool),c_member(X39)),X37)),X36)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_566])])])]) ).
fof(c_0_1089,plain,
! [X91,X92,X93,X94,X95,X96,X97,X98] :
( c_Set_Oimage(X98,X97,X96,X95) != X94
| c_Set_Oimage(X97,X93,X92,X94) != X91
| c_Set_Oimage(X98,X93,c_FuncSet_Ocompose(X98,X97,X93,X95,X92,X96),X95) = X91 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_567])]) ).
fof(c_0_1090,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ~ hBOOL(hAPP(hAPP(c_member(X40),X39),X38))
| hAPP(c_FuncSet_Ocompose(X40,X37,X36,X38,X35,X34),X39) = hAPP(X35,hAPP(X34,X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_568])]) ).
fof(c_0_1091,plain,
! [X5,X6] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X5)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X5)),v_c____),v_b____)),v_b____),v_a____))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X6)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X6)),v_c____),v_b____))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_569])])])]) ).
fof(c_0_1092,plain,
! [X51,X52,X53,X54,X55,X56,X57] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X57,X57)),hAPP(hAPP(c_Product__Type_OPair(X57,X57),X56),X55)),X54))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X57),tc_List_Olist(X57))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X57),tc_List_Olist(X57)),hAPP(hAPP(c_List_Oappend(X57),X53),hAPP(hAPP(c_List_Olist_OCons(X57),X56),X52))),hAPP(hAPP(c_List_Oappend(X57),X53),hAPP(hAPP(c_List_Olist_OCons(X57),X55),X51)))),c_List_Olexord(X57,X54))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_570])]) ).
fof(c_0_1093,plain,
! [X17,X18,X19,X20,X21,X22,X23] :
( ~ hBOOL(hAPP(X23,X22))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X21,X21)),hAPP(hAPP(c_Product__Type_OPair(X21,X21),X20),X19)),hAPP(X18,X22)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X17,X21),tc_prod(X17,X21))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X17,X21),tc_prod(X17,X21)),hAPP(hAPP(c_Product__Type_OPair(X17,X21),X22),X20)),hAPP(hAPP(c_Product__Type_OPair(X17,X21),X22),X19))),c_Recdef_Osame__fst(X17,X21,X23,X18))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_571])]) ).
fof(c_0_1094,plain,
! [X89,X90,X91,X92,X93,X94,X95,X96] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X96,X95,X94),X93),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X92,X91,tc_prod(X96,X95)),X90),X89)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X92,X91,X94),hAPP(hAPP(c_COMBB(tc_fun(X91,tc_prod(X96,X95)),tc_fun(X91,X94),X92),hAPP(c_COMBB(tc_prod(X96,X95),X94,X91),hAPP(c_Product__Type_Oprod_Oprod__case(X96,X95,X94),X93))),X90)),X89),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_1095,plain,
! [X115,X116,X117,X118,X119] : c_Product__Type_OSigma(X119,X118,X117,hAPP(hAPP(c_COMBS(X119,tc_fun(X118,tc_HOL_Obool),tc_fun(X118,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X118,tc_HOL_Obool),tc_fun(tc_fun(X118,tc_HOL_Obool),tc_fun(X118,tc_HOL_Obool)),X119),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X118,tc_HOL_Obool))),X116)),X115)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X119,X118),tc_HOL_Obool)),c_Product__Type_OSigma(X119,X118,X117,X116)),c_Product__Type_OSigma(X119,X118,X117,X115)),
inference(variable_rename,[status(thm)],[c_0_573]) ).
fof(c_0_1096,plain,
! [X57,X58,X59,X60,X61,X64,X65,X66,X67,X68,X69,X70] :
( ( hAPP(hAPP(c_List_Oappend(X61),X60),esk32_5(X57,X58,X59,X60,X61)) = X58
| X60 = hAPP(hAPP(c_List_Oappend(X61),X58),esk31_5(X57,X58,X59,X60,X61))
| hAPP(hAPP(c_List_Oappend(X61),X60),X59) != hAPP(hAPP(c_List_Oappend(X61),X58),X57) )
& ( X59 = hAPP(hAPP(c_List_Oappend(X61),esk32_5(X57,X58,X59,X60,X61)),X57)
| X60 = hAPP(hAPP(c_List_Oappend(X61),X58),esk31_5(X57,X58,X59,X60,X61))
| hAPP(hAPP(c_List_Oappend(X61),X60),X59) != hAPP(hAPP(c_List_Oappend(X61),X58),X57) )
& ( hAPP(hAPP(c_List_Oappend(X61),X60),esk32_5(X57,X58,X59,X60,X61)) = X58
| hAPP(hAPP(c_List_Oappend(X61),esk31_5(X57,X58,X59,X60,X61)),X59) = X57
| hAPP(hAPP(c_List_Oappend(X61),X60),X59) != hAPP(hAPP(c_List_Oappend(X61),X58),X57) )
& ( X59 = hAPP(hAPP(c_List_Oappend(X61),esk32_5(X57,X58,X59,X60,X61)),X57)
| hAPP(hAPP(c_List_Oappend(X61),esk31_5(X57,X58,X59,X60,X61)),X59) = X57
| hAPP(hAPP(c_List_Oappend(X61),X60),X59) != hAPP(hAPP(c_List_Oappend(X61),X58),X57) )
& ( X67 != hAPP(hAPP(c_List_Oappend(X68),X65),X69)
| hAPP(hAPP(c_List_Oappend(X68),X69),X66) != X64
| hAPP(hAPP(c_List_Oappend(X68),X67),X66) = hAPP(hAPP(c_List_Oappend(X68),X65),X64) )
& ( hAPP(hAPP(c_List_Oappend(X68),X67),X70) != X65
| X66 != hAPP(hAPP(c_List_Oappend(X68),X70),X64)
| hAPP(hAPP(c_List_Oappend(X68),X67),X66) = hAPP(hAPP(c_List_Oappend(X68),X65),X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_574])])])])])]) ).
fof(c_0_1097,plain,
! [X22,X23,X24,X25] :
( ~ hBOOL(hAPP(hAPP(c_member(X25),X24),c_Relation_ORange(X23,X25,X22)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X23,X25)),hAPP(hAPP(c_Product__Type_OPair(X23,X25),esk56_4(X22,X23,X24,X25)),X24)),X22)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_575])])]) ).
fof(c_0_1098,plain,
! [X63,X64,X65,X66,X68,X69,X70,X71,X72] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X66),X65),c_Relation_ORange(X64,X66,X63)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X64,X66)),hAPP(hAPP(c_Product__Type_OPair(X64,X66),esk54_4(X63,X64,X65,X66)),X65)),X63)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X71)),hAPP(hAPP(c_Product__Type_OPair(X69,X71),X72),X70)),X68))
| hBOOL(hAPP(hAPP(c_member(X71),X70),c_Relation_ORange(X69,X71,X68))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_576])])])])]) ).
fof(c_0_1099,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( ( X54 = X52
| hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X52)),X50))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olex(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X53),X51)),c_List_Olex(X55,X50)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X52)),X50))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olex(X55,X50))) )
& ( X54 = X52
| c_Nat_Osize__class_Osize(tc_List_Olist(X55),X53) = c_Nat_Osize__class_Osize(tc_List_Olist(X55),X51)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olex(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X53),X51)),c_List_Olex(X55,X50)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X55),X53) = c_Nat_Osize__class_Osize(tc_List_Olist(X55),X51)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olex(X55,X50))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X61,X61)),hAPP(hAPP(c_Product__Type_OPair(X61,X61),X60),X58)),X56))
| c_Nat_Osize__class_Osize(tc_List_Olist(X61),X59) != c_Nat_Osize__class_Osize(tc_List_Olist(X61),X57)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Olist_OCons(X61),X60),X59)),hAPP(hAPP(c_List_Olist_OCons(X61),X58),X57))),c_List_Olex(X61,X56))) )
& ( X60 != X58
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),X59),X57)),c_List_Olex(X61,X56)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Olist_OCons(X61),X60),X59)),hAPP(hAPP(c_List_Olist_OCons(X61),X58),X57))),c_List_Olex(X61,X56))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_577])])])])]) ).
fof(c_0_1100,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( ( X54 = X52
| hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X52)),X50))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olistrel1(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X53),X51)),c_List_Olistrel1(X55,X50)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X52)),X50))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olistrel1(X55,X50))) )
& ( X54 = X52
| X53 = X51
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olistrel1(X55,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X53),X51)),c_List_Olistrel1(X55,X50)))
| X53 = X51
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X53)),hAPP(hAPP(c_List_Olist_OCons(X55),X52),X51))),c_List_Olistrel1(X55,X50))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X61,X61)),hAPP(hAPP(c_Product__Type_OPair(X61,X61),X60),X58)),X56))
| X59 != X57
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Olist_OCons(X61),X60),X59)),hAPP(hAPP(c_List_Olist_OCons(X61),X58),X57))),c_List_Olistrel1(X61,X56))) )
& ( X60 != X58
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),X59),X57)),c_List_Olistrel1(X61,X56)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X61),tc_List_Olist(X61))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X61),tc_List_Olist(X61)),hAPP(hAPP(c_List_Olist_OCons(X61),X60),X59)),hAPP(hAPP(c_List_Olist_OCons(X61),X58),X57))),c_List_Olistrel1(X61,X56))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_578])])])])]) ).
fof(c_0_1101,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34] :
( ( X27 = X25
| hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X28)),hAPP(hAPP(c_Product__Type_OPair(X28,X28),X27),X25)),X23))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X28),tc_List_Olist(X28))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X28),tc_List_Olist(X28)),hAPP(hAPP(c_List_Olist_OCons(X28),X27),X26)),hAPP(hAPP(c_List_Olist_OCons(X28),X25),X24))),c_List_Olexord(X28,X23))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X28),tc_List_Olist(X28))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X28),tc_List_Olist(X28)),X26),X24)),c_List_Olexord(X28,X23)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X28)),hAPP(hAPP(c_Product__Type_OPair(X28,X28),X27),X25)),X23))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X28),tc_List_Olist(X28))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X28),tc_List_Olist(X28)),hAPP(hAPP(c_List_Olist_OCons(X28),X27),X26)),hAPP(hAPP(c_List_Olist_OCons(X28),X25),X24))),c_List_Olexord(X28,X23))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X34,X34)),hAPP(hAPP(c_Product__Type_OPair(X34,X34),X33),X31)),X29))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X34),tc_List_Olist(X34))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X34),tc_List_Olist(X34)),hAPP(hAPP(c_List_Olist_OCons(X34),X33),X32)),hAPP(hAPP(c_List_Olist_OCons(X34),X31),X30))),c_List_Olexord(X34,X29))) )
& ( X33 != X31
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X34),tc_List_Olist(X34))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X34),tc_List_Olist(X34)),X32),X30)),c_List_Olexord(X34,X29)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X34),tc_List_Olist(X34))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X34),tc_List_Olist(X34)),hAPP(hAPP(c_List_Olist_OCons(X34),X33),X32)),hAPP(hAPP(c_List_Olist_OCons(X34),X31),X30))),c_List_Olexord(X34,X29))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_579])])])])]) ).
fof(c_0_1102,plain,
! [X50,X51,X52,X53,X54,X55] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X53)),c_Transitive__Closure_Ortrancl(X55,X52)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X51),X50)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X55),c_List_Olistrel1(X55,X52))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X51)),hAPP(hAPP(c_List_Olist_OCons(X55),X53),X50))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X55),c_List_Olistrel1(X55,X52)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_580])]) ).
fof(c_0_1103,plain,
! [X50,X51,X52,X53,X54,X55] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X55,X55)),hAPP(hAPP(c_Product__Type_OPair(X55,X55),X54),X53)),X52))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),X51),X50)),c_List_Olistrel(X55,X52)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X55),tc_List_Olist(X55))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X55),tc_List_Olist(X55)),hAPP(hAPP(c_List_Olist_OCons(X55),X54),X51)),hAPP(hAPP(c_List_Olist_OCons(X55),X53),X50))),c_List_Olistrel(X55,X52))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_581])]) ).
fof(c_0_1104,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
c_0_582 ).
fof(c_0_1105,plain,
! [X42,X43,X44,X45,X47,X51] :
( ( ~ c_Arrow__Order__Mirabelle_Ounanimity(X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X43),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X44),X45)),hAPP(X43,esk13_4(X42,X43,X44,X45))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X44),X45)),hAPP(X42,X43))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk14_1(X47)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Ounanimity(X47) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X47)),esk16_1(X47))),hAPP(esk14_1(X47),X51)))
| c_Arrow__Order__Mirabelle_Ounanimity(X47) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X47)),esk16_1(X47))),hAPP(X47,esk14_1(X47))))
| c_Arrow__Order__Mirabelle_Ounanimity(X47) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_583])])])])])]) ).
fof(c_0_1106,plain,
! [X9,X10,X11] : c_List_Olistsp(X11,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X11,tc_fun(X11,tc_HOL_Obool),tc_HOL_Obool),c_member(X11)),X10)),hAPP(hAPP(c_COMBC(X11,tc_fun(X11,tc_HOL_Obool),tc_HOL_Obool),c_member(X11)),X9))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X11),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X11),tc_fun(tc_List_Olist(X11),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X11))),c_List_Olists(X11,X10))),hAPP(hAPP(c_COMBC(tc_List_Olist(X11),tc_fun(tc_List_Olist(X11),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X11))),c_List_Olists(X11,X9))),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_1107,plain,
! [X55,X56,X57,X58,X59] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X59),tc_List_Olist(X59))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X59),tc_List_Olist(X59)),X58),X57)),c_List_Olistrel(X59,c_Transitive__Closure_Ortrancl(X59,X56))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X59),tc_List_Olist(X59))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X59),tc_List_Olist(X59)),X57),X55)),c_List_Olistrel(X59,c_Transitive__Closure_Ortrancl(X59,X56))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X59),tc_List_Olist(X59))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X59),tc_List_Olist(X59)),X58),X55)),c_List_Olistrel(X59,c_Transitive__Closure_Ortrancl(X59,X56)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_585])]) ).
fof(c_0_1108,plain,
! [X50,X51,X52,X53,X54] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X54),tc_List_Olist(X54))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X54),tc_List_Olist(X54)),X53),X52)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X54),c_List_Olistrel1(X54,X51))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X54),tc_List_Olist(X54))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X54),tc_List_Olist(X54)),hAPP(hAPP(c_List_Olist_OCons(X54),X50),X53)),hAPP(hAPP(c_List_Olist_OCons(X54),X50),X52))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X54),c_List_Olistrel1(X54,X51)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_586])]) ).
fof(c_0_1109,plain,
! [X18,X19,X20,X21,X22] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X22),tc_List_Olist(X22))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X22),tc_List_Olist(X22)),X21),X20)),c_List_Olexord(X22,X19)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X22),tc_List_Olist(X22))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X22),tc_List_Olist(X22)),X20),X18)),c_List_Olexord(X22,X19)))
| ~ c_Relation_Otrans(X22,X19)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X22),tc_List_Olist(X22))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X22),tc_List_Olist(X22)),X21),X18)),c_List_Olexord(X22,X19))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_587])]) ).
fof(c_0_1110,plain,
! [X59,X60,X61,X62,X63,X64] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X64),tc_List_Olist(X64))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X64),tc_List_Olist(X64)),X63),X62)),c_List_Olistrel1(X64,X61)))
| X60 != X59
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X64),tc_List_Olist(X64))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X64),tc_List_Olist(X64)),hAPP(hAPP(c_List_Oappend(X64),X63),X60)),hAPP(hAPP(c_List_Oappend(X64),X62),X59))),c_List_Olistrel1(X64,X61))) )
& ( X63 != X62
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X64),tc_List_Olist(X64))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X64),tc_List_Olist(X64)),X60),X59)),c_List_Olistrel1(X64,X61)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X64),tc_List_Olist(X64))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X64),tc_List_Olist(X64)),hAPP(hAPP(c_List_Oappend(X64),X63),X60)),hAPP(hAPP(c_List_Oappend(X64),X62),X59))),c_List_Olistrel1(X64,X61))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_588])])]) ).
fof(c_0_1111,plain,
! [X50,X51,X52,X53,X54] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X54),tc_List_Olist(X54))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X54),tc_List_Olist(X54)),X53),X52)),c_List_Olistrel1(X54,X51)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X54),tc_List_Olist(X54))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X54),tc_List_Olist(X54)),hAPP(hAPP(c_List_Olist_OCons(X54),X50),X53)),hAPP(hAPP(c_List_Olist_OCons(X54),X50),X52))),c_List_Olistrel1(X54,X51))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_589])]) ).
fof(c_0_1112,plain,
! [X61,X62,X63,X64,X65] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X65),tc_List_Olist(X65))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X65),tc_List_Olist(X65)),X64),X63)),c_List_Olexord(X65,X62)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X65),tc_List_Olist(X65))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X65),tc_List_Olist(X65)),hAPP(hAPP(c_List_Oappend(X65),X61),X64)),hAPP(hAPP(c_List_Oappend(X65),X61),X63))),c_List_Olexord(X65,X62))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_590])]) ).
fof(c_0_1113,plain,
! [X23,X24,X25,X26,X27] :
( ( X24 != X23
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X27
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| X23 = X26
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X26),X23)),X25))
| X23 = X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 = X27
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X23 = X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X27
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| X24 = X27
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X24 = X27
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| X23 != X26
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X23 != X26
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X26),X23)),X25))
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X26),X23)),X25))
| X23 = X27
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| X24 = X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X24 = X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| X23 != X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X23 != X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X26),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X26),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X26)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X25),X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_591])])]) ).
fof(c_0_1114,plain,
! [X23,X24,X25,X26,X27] :
( ( X24 != X23
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X26
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| X24 = X27
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X27)),X25))
| X24 = X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 = X26
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X24 = X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X26
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| X23 = X26
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X23 = X26
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| X24 != X27
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X24 != X27
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X27)),X25))
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X27)),X25))
| X24 = X26
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X24 != X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| X23 = X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X23 = X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| X24 != X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| X24 != X27
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( X23 != X26
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X27)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X27)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X27),X23)),X25))
| X24 = X23
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),c_Arrow__Order__Mirabelle_Oabove(X25,X27,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| X27 = X26 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_592])])]) ).
fof(c_0_1115,plain,
! [X18,X19,X20] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X20,X20)),hAPP(hAPP(c_Product__Type_OPair(X20,X20),esk30_3(X18,X19,X20)),esk30_3(X18,X19,X20))),X19))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X20),tc_List_Olist(X20))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X20),tc_List_Olist(X20)),X18),X18)),c_List_Olexord(X20,X19))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_593])])]) ).
fof(c_0_1116,plain,
! [X23,X24,X25,X26,X27,X28] :
( ~ hBOOL(hAPP(hAPP(c_member(X28),X27),X26))
| c_Fun_Ooverride__on(X28,X25,X24,X23,X26,X27) = hAPP(X23,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_594])]) ).
fof(c_0_1117,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X28),X27),X26))
| c_Fun_Ooverride__on(X28,X25,X24,X23,X26,X27) = hAPP(X23,X27) )
& ( hBOOL(hAPP(hAPP(c_member(X34),X33),X32))
| c_Fun_Ooverride__on(X34,X31,X30,X29,X32,X33) = hAPP(X30,X33) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_595])])])]) ).
fof(c_0_1118,plain,
! [X23,X24,X25,X26,X27,X28] :
( hBOOL(hAPP(hAPP(c_member(X28),X27),X26))
| c_Fun_Ooverride__on(X28,X25,X24,X23,X26,X27) = hAPP(X24,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_596])]) ).
fof(c_0_1119,plain,
! [X49,X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X53,X53)),hAPP(hAPP(c_Product__Type_OPair(X53,X53),X52),X51)),X50))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),hAPP(hAPP(c_List_Olist_OCons(X53),X52),X49)),hAPP(hAPP(c_List_Olist_OCons(X53),X51),X49))),c_List_Olistrel1(X53,X50))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_597])]) ).
fof(c_0_1120,plain,
! [X18,X19,X20,X21,X22] :
( ~ c_Relation_Osingle__valued(X22,X22,X21)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),X20),X19)),c_Transitive__Closure_Ortrancl(X22,X21)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),X20),X18)),c_Transitive__Closure_Ortrancl(X22,X21)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),X19),X18)),c_Transitive__Closure_Ortrancl(X22,X21)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),X18),X19)),c_Transitive__Closure_Ortrancl(X22,X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_598])]) ).
fof(c_0_1121,plain,
! [X63,X64,X65,X66] :
( ~ hBOOL(hAPP(hAPP(c_member(X66),X65),c_Relation_ODomain(X66,X64,X63)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X66,X64)),hAPP(hAPP(c_Product__Type_OPair(X66,X64),X65),esk57_4(X63,X64,X65,X66))),X63)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_599])])]) ).
fof(c_0_1122,plain,
! [X63,X64,X65,X66,X68,X69,X70,X71,X72] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X66),X65),c_Relation_ODomain(X66,X64,X63)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X66,X64)),hAPP(hAPP(c_Product__Type_OPair(X66,X64),X65),esk53_4(X63,X64,X65,X66))),X63)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X71,X69)),hAPP(hAPP(c_Product__Type_OPair(X71,X69),X70),X72)),X68))
| hBOOL(hAPP(hAPP(c_member(X71),X70),c_Relation_ODomain(X71,X69,X68))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_600])])])])]) ).
fof(c_0_1123,plain,
! [X60,X61,X62,X63,X64,X66,X67,X68,X69,X70,X71] :
( ( hAPP(hAPP(c_List_Olist_OCons(X64),X63),esk34_5(X60,X61,X62,X63,X64)) = X61
| X61 = c_List_Olist_ONil(X64)
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) != hAPP(hAPP(c_List_Oappend(X64),X61),X60) )
& ( X62 = hAPP(hAPP(c_List_Oappend(X64),esk34_5(X60,X61,X62,X63,X64)),X60)
| X61 = c_List_Olist_ONil(X64)
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) != hAPP(hAPP(c_List_Oappend(X64),X61),X60) )
& ( hAPP(hAPP(c_List_Olist_OCons(X64),X63),esk34_5(X60,X61,X62,X63,X64)) = X61
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) = X60
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) != hAPP(hAPP(c_List_Oappend(X64),X61),X60) )
& ( X62 = hAPP(hAPP(c_List_Oappend(X64),esk34_5(X60,X61,X62,X63,X64)),X60)
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) = X60
| hAPP(hAPP(c_List_Olist_OCons(X64),X63),X62) != hAPP(hAPP(c_List_Oappend(X64),X61),X60) )
& ( X67 != c_List_Olist_ONil(X70)
| hAPP(hAPP(c_List_Olist_OCons(X70),X69),X68) != X66
| hAPP(hAPP(c_List_Olist_OCons(X70),X69),X68) = hAPP(hAPP(c_List_Oappend(X70),X67),X66) )
& ( hAPP(hAPP(c_List_Olist_OCons(X70),X69),X71) != X67
| X68 != hAPP(hAPP(c_List_Oappend(X70),X71),X66)
| hAPP(hAPP(c_List_Olist_OCons(X70),X69),X68) = hAPP(hAPP(c_List_Oappend(X70),X67),X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_601])])])])])]) ).
fof(c_0_1124,plain,
! [X60,X61,X62,X63,X64,X66,X67,X68,X69,X70,X71] :
( ( X63 = hAPP(hAPP(c_List_Olist_OCons(X64),X61),esk33_5(X60,X61,X62,X63,X64))
| X63 = c_List_Olist_ONil(X64)
| hAPP(hAPP(c_List_Oappend(X64),X63),X62) != hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60) )
& ( hAPP(hAPP(c_List_Oappend(X64),esk33_5(X60,X61,X62,X63,X64)),X62) = X60
| X63 = c_List_Olist_ONil(X64)
| hAPP(hAPP(c_List_Oappend(X64),X63),X62) != hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60) )
& ( X63 = hAPP(hAPP(c_List_Olist_OCons(X64),X61),esk33_5(X60,X61,X62,X63,X64))
| X62 = hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60)
| hAPP(hAPP(c_List_Oappend(X64),X63),X62) != hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60) )
& ( hAPP(hAPP(c_List_Oappend(X64),esk33_5(X60,X61,X62,X63,X64)),X62) = X60
| X62 = hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60)
| hAPP(hAPP(c_List_Oappend(X64),X63),X62) != hAPP(hAPP(c_List_Olist_OCons(X64),X61),X60) )
& ( X69 != c_List_Olist_ONil(X70)
| X68 != hAPP(hAPP(c_List_Olist_OCons(X70),X67),X66)
| hAPP(hAPP(c_List_Oappend(X70),X69),X68) = hAPP(hAPP(c_List_Olist_OCons(X70),X67),X66) )
& ( X69 != hAPP(hAPP(c_List_Olist_OCons(X70),X67),X71)
| hAPP(hAPP(c_List_Oappend(X70),X71),X68) != X66
| hAPP(hAPP(c_List_Oappend(X70),X69),X68) = hAPP(hAPP(c_List_Olist_OCons(X70),X67),X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_602])])])])])]) ).
fof(c_0_1125,plain,
! [X49,X50] : c_List_Orotate1(X50,X49) = c_List_Olist_Olist__case(tc_List_Olist(X50),X50,c_List_Olist_ONil(X50),hAPP(hAPP(c_COMBB(tc_List_Olist(X50),tc_fun(tc_List_Olist(X50),tc_List_Olist(X50)),X50),hAPP(c_COMBC(tc_List_Olist(X50),tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Oappend(X50))),hAPP(hAPP(c_COMBC(X50,tc_List_Olist(X50),tc_List_Olist(X50)),c_List_Olist_OCons(X50)),c_List_Olist_ONil(X50))),X49),
inference(variable_rename,[status(thm)],[c_0_603]) ).
fof(c_0_1126,plain,
! [X13,X14,X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP(c_List_Olistsp(X15,hAPP(hAPP(c_COMBC(X15,tc_fun(X15,tc_HOL_Obool),tc_HOL_Obool),c_member(X15)),X14)),X13))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X15)),X13),c_List_Olists(X15,X14))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X18)),X16),c_List_Olists(X18,X17)))
| hBOOL(hAPP(c_List_Olistsp(X18,hAPP(hAPP(c_COMBC(X18,tc_fun(X18,tc_HOL_Obool),tc_HOL_Obool),c_member(X18)),X17)),X16)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_604])])])]) ).
fof(c_0_1127,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109,X110,X111] :
( ( hAPP(X103,X105) = hAPP(X103,X104)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X103,X105),hAPP(X103,X104))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X106,X106)),hAPP(hAPP(c_Product__Type_OPair(X106,X106),X105),X104)),c_List_Omeasures(X106,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X106,tc_Nat_Onat)),X103),X102)))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X106,X106)),hAPP(hAPP(c_Product__Type_OPair(X106,X106),X105),X104)),c_List_Omeasures(X106,X102)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X103,X105),hAPP(X103,X104))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X106,X106)),hAPP(hAPP(c_Product__Type_OPair(X106,X106),X105),X104)),c_List_Omeasures(X106,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X106,tc_Nat_Onat)),X103),X102)))) )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X108,X110),hAPP(X108,X109))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X111,X111)),hAPP(hAPP(c_Product__Type_OPair(X111,X111),X110),X109)),c_List_Omeasures(X111,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X111,tc_Nat_Onat)),X108),X107)))) )
& ( hAPP(X108,X110) != hAPP(X108,X109)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X111,X111)),hAPP(hAPP(c_Product__Type_OPair(X111,X111),X110),X109)),c_List_Omeasures(X111,X107)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X111,X111)),hAPP(hAPP(c_Product__Type_OPair(X111,X111),X110),X109)),c_List_Omeasures(X111,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X111,tc_Nat_Onat)),X108),X107)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_605])])])])]) ).
fof(c_0_1128,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X25)),c_Transitive__Closure_Ortrancl(X27,X24)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X25),X23)),c_Transitive__Closure_Ortrancl(X27,X24)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X23)),c_Transitive__Closure_Ortrancl(X27,X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_606])]) ).
fof(c_0_1129,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X20,tc_fun(X19,tc_HOL_Obool))),X18),X17),X16),X15))
| hBOOL(hAPP(hAPP(X18,X16),X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_607])])])]) ).
fof(c_0_1130,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X20,tc_fun(X19,tc_HOL_Obool))),X18),X17),X16),X15))
| hBOOL(hAPP(hAPP(X17,X16),X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_608])])])]) ).
fof(c_0_1131,plain,
! [X15,X16,X17,X18,X19,X20] :
( ( hBOOL(hAPP(hAPP(X18,X16),X15))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X20,tc_fun(X19,tc_HOL_Obool))),X18),X17),X16),X15)) )
& ( hBOOL(hAPP(hAPP(X17,X16),X15))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X20,tc_fun(X19,tc_HOL_Obool))),X18),X17),X16),X15)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_609])])])])]) ).
fof(c_0_1132,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X25)),X24))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X25),X23)),c_Transitive__Closure_Ortrancl(X27,X24)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X23)),c_Transitive__Closure_Ortrancl(X27,X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_610])]) ).
fof(c_0_1133,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X25)),c_Transitive__Closure_Ortrancl(X27,X24)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X25),X23)),X24))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X23)),c_Transitive__Closure_Ortrancl(X27,X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_611])]) ).
fof(c_0_1134,plain,
! [X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_List_Olistrel(X53,X50)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X53),c_List_Olistrel1(X53,X50)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_612])]) ).
fof(c_0_1135,plain,
! [X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_List_Olistrel1(X53,X50)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_List_Olistrel(X53,c_Transitive__Closure_Ortrancl(X53,X50)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_613])]) ).
fof(c_0_1136,plain,
! [X15,X16,X17,X18,X19] : c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool),c_Set_Oimage(X18,X19,X17,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X18,tc_HOL_Obool)),X16),X15)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X19,tc_HOL_Obool)),c_Set_Oimage(X18,X19,X17,X16)),c_Set_Oimage(X18,X19,X17,X15))),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_1137,plain,
! [X18,X19,X20,X21,X22,X23,X24,X25] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X21),tc_List_Olist(X21))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X21),tc_List_Olist(X21)),X20),X19)),c_List_Olexord(X21,X18)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X21),tc_List_Olist(X21))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X21),tc_List_Olist(X21)),X20),X19)),c_List_Olex(X21,X18))) )
& ( c_Nat_Osize__class_Osize(tc_List_Olist(X21),X20) = c_Nat_Osize__class_Osize(tc_List_Olist(X21),X19)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X21),tc_List_Olist(X21))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X21),tc_List_Olist(X21)),X20),X19)),c_List_Olex(X21,X18))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X25),tc_List_Olist(X25))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X25),tc_List_Olist(X25)),X24),X23)),c_List_Olexord(X25,X22)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X25),X24) != c_Nat_Osize__class_Osize(tc_List_Olist(X25),X23)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X25),tc_List_Olist(X25))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X25),tc_List_Olist(X25)),X24),X23)),c_List_Olex(X25,X22))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_615])])])])]) ).
fof(c_0_1138,plain,
! [X67,X68,X69,X70,X71,X72,X73] :
( ( ~ c_Relation_Otrans(X68,X67)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),X69),X70)),X67))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),X70),X71)),X67))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),X69),X71)),X67)) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X73,X73)),hAPP(hAPP(c_Product__Type_OPair(X73,X73),esk46_2(X72,X73)),esk47_2(X72,X73))),X72))
| c_Relation_Otrans(X73,X72) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X73,X73)),hAPP(hAPP(c_Product__Type_OPair(X73,X73),esk47_2(X72,X73)),esk48_2(X72,X73))),X72))
| c_Relation_Otrans(X73,X72) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X73,X73)),hAPP(hAPP(c_Product__Type_OPair(X73,X73),esk46_2(X72,X73)),esk48_2(X72,X73))),X72))
| c_Relation_Otrans(X73,X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_616])])])])])]) ).
fof(c_0_1139,plain,
! [X23,X24,X25,X26,X27] :
( ~ c_Relation_Otrans(X27,X26)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X25),X24)),X26))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X24),X23)),X26))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X25),X23)),X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_617])]) ).
fof(c_0_1140,plain,
! [X102,X103,X104,X105,X106] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X106,X105),hAPP(X106,X104))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X103,X103)),hAPP(hAPP(c_Product__Type_OPair(X103,X103),X105),X104)),c_List_Omeasures(X103,X102)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X103,X103)),hAPP(hAPP(c_Product__Type_OPair(X103,X103),X105),X104)),c_List_Omeasures(X103,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X103,tc_Nat_Onat)),X106),X102)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_618])]) ).
fof(c_0_1141,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X40,X39)),hAPP(hAPP(c_Product__Type_OPair(X40,X39),X38),X37)),X36))
| hBOOL(hAPP(hAPP(c_member(X35),hAPP(hAPP(X34,X38),X37)),c_Set_Oimage(tc_prod(X40,X39),X35,hAPP(c_Product__Type_Oprod_Oprod__case(X40,X39,X35),X34),X36))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_619])]) ).
fof(c_0_1142,plain,
! [X112,X113,X114,X115] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk100_4(X112,X113,X114,X115),X115)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X113),X112))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X113),c_List_OtakeWhile(X113,X114,X112))) )
& ( ~ hBOOL(hAPP(X114,c_List_Onth(X113,X112,esk100_4(X112,X113,X114,X115))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X113),X112))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X113),c_List_OtakeWhile(X113,X114,X112))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_620])])])]) ).
fof(c_0_1143,plain,
! [X59,X60,X61,X62,X63,X64,X65,X66] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X66,X66)),hAPP(hAPP(c_Product__Type_OPair(X66,X66),X65),X64)),X63))
| X62 != hAPP(hAPP(c_List_Oappend(X66),X61),hAPP(hAPP(c_List_Olist_OCons(X66),X65),X60))
| X59 != hAPP(hAPP(c_List_Oappend(X66),X61),hAPP(hAPP(c_List_Olist_OCons(X66),X64),X60))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X66),tc_List_Olist(X66))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X66),tc_List_Olist(X66)),X62),X59)),c_List_Olistrel1(X66,X63))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_621])]) ).
fof(c_0_1144,plain,
! [X15,X16,X17,X18,X19,X21,X22,X23,X24,X25,X26] :
( ( hBOOL(hAPP(hAPP(c_member(X17),esk83_4(X15,X16,X17,X18)),X15))
| ~ hBOOL(hAPP(hAPP(c_member(X19),X18),c_Set_Oimage(X17,X19,X16,X15))) )
& ( X18 = hAPP(X16,esk83_4(X15,X16,X17,X18))
| ~ hBOOL(hAPP(hAPP(c_member(X19),X18),c_Set_Oimage(X17,X19,X16,X15))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X23),X25),X21))
| X24 != hAPP(X22,X25)
| hBOOL(hAPP(hAPP(c_member(X26),X24),c_Set_Oimage(X23,X26,X22,X21))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_622])])])])])]) ).
fof(c_0_1145,plain,
! [X13,X14,X15] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X14),X13)),X15))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X13),X14)),X15))
| X14 = X13
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15),c_Arrow__Order__Mirabelle_OLin)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X13),X14)),X15))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X14),X13)),X15))
| X14 = X13
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15),c_Arrow__Order__Mirabelle_OLin)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_623])])]) ).
fof(c_0_1146,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X25),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),X25))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X23),X24)),X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_624])]) ).
fof(c_0_1147,plain,
! [X67,X68,X69] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X68)),hAPP(hAPP(c_Product__Type_OPair(X69,X68),esk78_3(X67,X68,X69)),esk79_3(X67,X68,X69))),X67))
| c_Relation_Osingle__valued(X69,X68,X67) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X68)),hAPP(hAPP(c_Product__Type_OPair(X69,X68),esk78_3(X67,X68,X69)),esk80_3(X67,X68,X69))),X67))
| c_Relation_Osingle__valued(X69,X68,X67) )
& ( esk79_3(X67,X68,X69) != esk80_3(X67,X68,X69)
| c_Relation_Osingle__valued(X69,X68,X67) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_625])])])]) ).
fof(c_0_1148,plain,
! [X67,X68,X69,X70,X71,X72,X73,X74,X75] :
( ( ~ c_Relation_Osingle__valued(X69,X68,X67)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X68)),hAPP(hAPP(c_Product__Type_OPair(X69,X68),X70),X71)),X67))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X68)),hAPP(hAPP(c_Product__Type_OPair(X69,X68),X70),X72)),X67))
| X71 = X72 )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X75,X74)),hAPP(hAPP(c_Product__Type_OPair(X75,X74),esk50_3(X73,X74,X75)),esk51_3(X73,X74,X75))),X73))
| c_Relation_Osingle__valued(X75,X74,X73) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X75,X74)),hAPP(hAPP(c_Product__Type_OPair(X75,X74),esk50_3(X73,X74,X75)),esk52_3(X73,X74,X75))),X73))
| c_Relation_Osingle__valued(X75,X74,X73) )
& ( esk51_3(X73,X74,X75) != esk52_3(X73,X74,X75)
| c_Relation_Osingle__valued(X75,X74,X73) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_626])])])])])]) ).
fof(c_0_1149,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X27,X26,tc_HOL_Obool,X25),X24),X23))
| hBOOL(hAPP(X25,hAPP(hAPP(c_Product__Type_OPair(X27,X26),X24),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_627])]) ).
fof(c_0_1150,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X27,X26,tc_HOL_Obool,X25),X24),X23))
| hBOOL(hAPP(X25,hAPP(hAPP(c_Product__Type_OPair(X27,X26),X24),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_628])]) ).
fof(c_0_1151,plain,
! [X15,X16,X17,X18,X19] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X19,X18)),X17),c_FuncSet_OPi(X19,X18,X16,c_COMBK(tc_fun(X18,tc_HOL_Obool),X19,X15))))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Set_Oimage(X19,X18,X17,X16),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_629])]) ).
fof(c_0_1152,plain,
! [X100,X101,X102,X103,X104,X106,X107,X108,X109,X110,X111] :
( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X102,tc_HOL_Obool),esk93_5(X100,X101,X102,X103,X104),X100)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X104,tc_HOL_Obool),X103,c_Set_Oimage(X102,X104,X101,X100)) )
& ( X103 = c_Set_Oimage(X102,X104,X101,esk93_5(X100,X101,X102,X103,X104))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X104,tc_HOL_Obool),X103,c_Set_Oimage(X102,X104,X101,X100)) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X108,tc_HOL_Obool),X111,X106)
| X109 != c_Set_Oimage(X108,X110,X107,X111)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X110,tc_HOL_Obool),X109,c_Set_Oimage(X108,X110,X107,X106)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_630])])])])])]) ).
fof(c_0_1153,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X40,X39,tc_fun(X38,tc_HOL_Obool)),X37),hAPP(hAPP(c_Product__Type_OPair(X40,X39),X36),X35)),X34))
| hBOOL(hAPP(hAPP(hAPP(X37,X36),X35),X34)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_631])])])]) ).
fof(c_0_1154,plain,
! [X91,X92,X93,X94,X95] : c_Product__Type_OSigma(X95,X94,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X95,tc_HOL_Obool)),X93),X92),c_COMBK(tc_fun(X94,tc_HOL_Obool),X95,X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X95,X94),tc_HOL_Obool)),c_Product__Type_OSigma(X95,X94,X93,c_COMBK(tc_fun(X94,tc_HOL_Obool),X95,X91))),c_Product__Type_OSigma(X95,X94,X92,c_COMBK(tc_fun(X94,tc_HOL_Obool),X95,X91))),
inference(variable_rename,[status(thm)],[c_0_632]) ).
fof(c_0_1155,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X20,X19)),X18),c_FuncSet_OPi(X20,X19,X17,c_COMBK(tc_fun(X19,tc_HOL_Obool),X20,X16))))
| ~ hBOOL(hAPP(hAPP(c_member(X20),X15),X17))
| hBOOL(hAPP(hAPP(c_member(X19),hAPP(X18,X15)),X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_633])]) ).
fof(c_0_1156,plain,
! [X18,X19,X20,X21,X22,X23] :
( ~ c_Relation_Osingle__valued(X23,X22,X21)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X23,X22)),hAPP(hAPP(c_Product__Type_OPair(X23,X22),X20),X19)),X21))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X23,X22)),hAPP(hAPP(c_Product__Type_OPair(X23,X22),X20),X18)),X21))
| X19 = X18 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_634])]) ).
fof(c_0_1157,plain,
! [X15,X16,X17,X18,X19] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X16,X15)
| c_Orderings_Oord__class_Oless__eq(X18,hAPP(X16,X19),hAPP(X15,X19))
| ~ class_Orderings_Oord(X18) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X18,hAPP(X16,esk94_4(X15,X16,X17,X18)),hAPP(X15,esk94_4(X15,X16,X17,X18)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X16,X15)
| ~ class_Orderings_Oord(X18) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_635])])])])]) ).
fof(c_0_1158,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34] :
( ( hBOOL(hAPP(hAPP(c_member(X28),X26),X24))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23))) )
& ( hBOOL(hAPP(hAPP(c_member(X27),X25),hAPP(X23,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X34),X32),X30))
| ~ hBOOL(hAPP(hAPP(c_member(X33),X31),hAPP(X29,X32)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X34,X33)),hAPP(hAPP(c_Product__Type_OPair(X34,X33),X32),X31)),c_Product__Type_OSigma(X34,X33,X30,X29))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_636])])])])]) ).
fof(c_0_1159,plain,
! [X23,X24,X25,X26,X27,X28] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23)))
| hBOOL(hAPP(hAPP(c_member(X27),X25),hAPP(X23,X26))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_637])])])]) ).
fof(c_0_1160,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( hBOOL(hAPP(hAPP(c_member(X28),X26),X24))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23))) )
& ( hBOOL(hAPP(hAPP(c_member(X27),X25),hAPP(X23,X26)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_638])])]) ).
fof(c_0_1161,plain,
! [X5,X6] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X5)),v_c____),v_b____))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X6)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X6))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_639])])])]) ).
fof(c_0_1162,plain,
! [X23,X24,X25,X26,X27,X28] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X27)),hAPP(hAPP(c_Product__Type_OPair(X28,X27),X26),X25)),c_Product__Type_OSigma(X28,X27,X24,X23)))
| hBOOL(hAPP(hAPP(c_member(X28),X26),X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_640])]) ).
fof(c_0_1163,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X27)),hAPP(hAPP(c_Product__Type_OPair(X27,X27),X26),X25)),c_Transitive__Closure_Ortrancl(X27,X24)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X27,X27),tc_HOL_Obool),X24,c_Product__Type_OSigma(X27,X27,X23,c_COMBK(tc_fun(X27,tc_HOL_Obool),X27,X23)))
| X26 = X25
| hBOOL(hAPP(hAPP(c_member(X27),X26),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_641])]) ).
fof(c_0_1164,plain,
! [X20,X21,X22,X25,X26,X27,X28,X29] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X22),tc_List_Olist(X22))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X22),tc_List_Olist(X22)),c_List_Olist_ONil(X22)),X21)),c_List_Olexord(X22,X20)))
| X21 = hAPP(hAPP(c_List_Olist_OCons(X22),esk26_3(X20,X21,X22)),esk27_3(X20,X21,X22)) )
& ( X26 != hAPP(hAPP(c_List_Olist_OCons(X27),X28),X29)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X27),tc_List_Olist(X27))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X27),tc_List_Olist(X27)),c_List_Olist_ONil(X27)),X26)),c_List_Olexord(X27,X25))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_642])])])])]) ).
fof(c_0_1165,plain,
! [X11] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X11)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_643])]) ).
fof(c_0_1166,plain,
! [X14,X15,X16,X17,X18] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X18,X17),hAPP(X18,X16))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X15,X15)),hAPP(hAPP(c_Product__Type_OPair(X15,X15),X17),X16)),X14))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X15,X15)),hAPP(hAPP(c_Product__Type_OPair(X15,X15),X17),X16)),c_Wellfounded_Omlex__prod(X15,X18,X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_644])]) ).
fof(c_0_1167,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(X20,X19),X18))
| ~ hBOOL(hAPP(hAPP(X17,X19),X18))
| hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_fun(X15,tc_HOL_Obool))),X20),X17),X19),X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_645])]) ).
fof(c_0_1168,plain,
! [X91,X92,X93,X94,X95,X96] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X93,X96),tc_HOL_Obool),c_Product__Type_OSigma(X93,X96,X92,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)),c_Product__Type_OSigma(X93,X96,X91,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X93,tc_HOL_Obool),X92,X91)
| ~ hBOOL(hAPP(hAPP(c_member(X96),X95),X94)) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X93,tc_HOL_Obool),X92,X91)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X93,X96),tc_HOL_Obool),c_Product__Type_OSigma(X93,X96,X92,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)),c_Product__Type_OSigma(X93,X96,X91,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)))
| ~ hBOOL(hAPP(hAPP(c_member(X96),X95),X94)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_646])])]) ).
fof(c_0_1169,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ~ c_FunDef_Oin__rel(X19,X18,X17,X16,X15)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X19,X18)),hAPP(hAPP(c_Product__Type_OPair(X19,X18),X16),X15)),X17)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X24,X23)),hAPP(hAPP(c_Product__Type_OPair(X24,X23),X21),X20)),X22))
| c_FunDef_Oin__rel(X24,X23,X22,X21,X20) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_647])])])]) ).
fof(c_0_1170,plain,
! [X72,X73,X74,X75,X76] :
( ( c_Nat_Osize__class_Osize(tc_List_Olist(X76),X75) = X72
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X76),tc_List_Olist(X76))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X76),tc_List_Olist(X76)),X75),X74)),c_List_Olexn(X76,X73,X72))) )
& ( c_Nat_Osize__class_Osize(tc_List_Olist(X76),X74) = X72
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X76),tc_List_Olist(X76))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X76),tc_List_Olist(X76)),X75),X74)),c_List_Olexn(X76,X73,X72))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_648])])]) ).
fof(c_0_1171,plain,
! [X67,X68,X69] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X69,X69)),hAPP(hAPP(c_Product__Type_OPair(X69,X69),esk62_3(X67,X68,X69)),X68)),X67))
| hBOOL(hAPP(hAPP(c_member(X69),X68),c_Wellfounded_Oacc(X69,X67))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X69),esk62_3(X67,X68,X69)),c_Wellfounded_Oacc(X69,X67)))
| hBOOL(hAPP(hAPP(c_member(X69),X68),c_Wellfounded_Oacc(X69,X67))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_649])])])]) ).
fof(c_0_1172,plain,
! [X63,X64,X65] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X65,X65)),hAPP(hAPP(c_Product__Type_OPair(X65,X65),esk61_3(X63,X64,X65)),X64)),X63))
| hBOOL(hAPP(hAPP(c_member(X65),X64),c_Wellfounded_Oacc(X65,X63))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X65),esk61_3(X63,X64,X65)),c_Wellfounded_Oacc(X65,X63)))
| hBOOL(hAPP(hAPP(c_member(X65),X64),c_Wellfounded_Oacc(X65,X63))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_650])])])]) ).
fof(c_0_1173,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X25),X24),c_Wellfounded_Oacc(X25,X23)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X25,X25)),hAPP(hAPP(c_Product__Type_OPair(X25,X25),X26),X24)),X23))
| hBOOL(hAPP(hAPP(c_member(X25),X26),c_Wellfounded_Oacc(X25,X23))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X29,X29)),hAPP(hAPP(c_Product__Type_OPair(X29,X29),esk55_3(X27,X28,X29)),X28)),X27))
| hBOOL(hAPP(hAPP(c_member(X29),X28),c_Wellfounded_Oacc(X29,X27))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X29),esk55_3(X27,X28,X29)),c_Wellfounded_Oacc(X29,X27)))
| hBOOL(hAPP(hAPP(c_member(X29),X28),c_Wellfounded_Oacc(X29,X27))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_651])])])])])]) ).
fof(c_0_1174,plain,
! [X34,X35,X36,X37] : hAPP(c_Product__Type_Oprod_Oprod__case(X37,X36,X35),hAPP(hAPP(c_COMBB(tc_fun(X36,tc_prod(X37,X36)),tc_fun(X36,X35),X37),hAPP(c_COMBB(tc_prod(X37,X36),X35,X36),X34)),c_Product__Type_OPair(X37,X36))) = X34,
inference(variable_rename,[status(thm)],[c_0_652]) ).
fof(c_0_1175,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X21),tc_List_Olist(X21))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X21),tc_List_Olist(X21)),X20),X19)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X21),c_List_Olistrel1(X21,X18))))
| c_Nat_Osize__class_Osize(tc_List_Olist(X21),X20) = c_Nat_Osize__class_Osize(tc_List_Olist(X21),X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_653])]) ).
fof(c_0_1176,plain,
! [X49,X50,X51] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),c_List_Olist_ONil(X51)),X50)),c_List_Olistrel(X51,X49)))
| X50 = c_List_Olist_ONil(X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_654])]) ).
fof(c_0_1177,plain,
! [X49,X50,X51] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),c_List_Olist_ONil(X51)),X50)),c_List_Olistrel1(X51,X49))),
inference(variable_rename,[status(thm)],[c_0_655]) ).
fof(c_0_1178,plain,
! [X50,X51,X52] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X52),tc_List_Olist(X52))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X52),tc_List_Olist(X52)),c_List_Olist_ONil(X52)),X51)),c_List_Olex(X52,X50))),
inference(variable_rename,[status(thm)],[c_0_656]) ).
fof(c_0_1179,plain,
! [X49,X50,X51] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),X50),c_List_Olist_ONil(X51))),c_List_Olistrel(X51,X49)))
| X50 = c_List_Olist_ONil(X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_657])]) ).
fof(c_0_1180,plain,
! [X49,X50,X51] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),X50),c_List_Olist_ONil(X51))),c_List_Olistrel1(X51,X49))),
inference(variable_rename,[status(thm)],[c_0_658]) ).
fof(c_0_1181,plain,
! [X49,X50,X51] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),X50),c_List_Olist_ONil(X51))),c_List_Olex(X51,X49))),
inference(variable_rename,[status(thm)],[c_0_659]) ).
fof(c_0_1182,plain,
! [X18,X19,X20] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X20),tc_List_Olist(X20))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X20),tc_List_Olist(X20)),X19),c_List_Olist_ONil(X20))),c_List_Olexord(X20,X18))),
inference(variable_rename,[status(thm)],[c_0_660]) ).
fof(c_0_1183,plain,
! [X18,X19,X20] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X20,X20),tc_HOL_Obool),X19,c_Product__Type_OSigma(X20,X20,X18,c_COMBK(tc_fun(X20,tc_HOL_Obool),X20,X18)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X20),tc_List_Olist(X20)),tc_HOL_Obool),c_List_Olistrel(X20,X19),c_Product__Type_OSigma(tc_List_Olist(X20),tc_List_Olist(X20),c_List_Olists(X20,X18),c_COMBK(tc_fun(tc_List_Olist(X20),tc_HOL_Obool),tc_List_Olist(X20),c_List_Olists(X20,X18)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_661])]) ).
fof(c_0_1184,plain,
! [X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_List_Olistrel(X53,X50)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X53),X52) = c_Nat_Osize__class_Osize(tc_List_Olist(X53),X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_662])]) ).
fof(c_0_1185,plain,
! [X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X53),tc_List_Olist(X53))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X53),tc_List_Olist(X53)),X52),X51)),c_List_Olistrel1(X53,X50)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X53),X52) = c_Nat_Osize__class_Osize(tc_List_Olist(X53),X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_663])]) ).
fof(c_0_1186,plain,
! [X21,X22,X23,X25,X26,X27,X28,X29,X32] :
( ( ~ hBOOL(hAPP(X23,esk3_3(X21,X22,X23)))
| hBOOL(hAPP(X23,hAPP(hAPP(c_Product__Type_OPair(X22,X21),X25),X26))) )
& ( ~ hBOOL(hAPP(X29,hAPP(hAPP(c_Product__Type_OPair(X28,X27),esk4_3(X27,X28,X29)),esk5_3(X27,X28,X29))))
| hBOOL(hAPP(X29,X32)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_664])])])])]) ).
fof(c_0_1187,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(X27,hAPP(hAPP(c_Product__Type_OPair(X26,X25),X24),X23)))
| hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X26,X25,tc_HOL_Obool,X27),X24),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_665])]) ).
fof(c_0_1188,plain,
! [X15,X16,X17,X18] : c_Set_Oimage(tc_prod(X18,X17),tc_prod(X17,X18),hAPP(c_Product__Type_Oprod_Oprod__case(X18,X17,tc_prod(X17,X18)),hAPP(c_COMBC(X17,X18,tc_prod(X17,X18)),c_Product__Type_OPair(X17,X18))),c_Product__Type_OSigma(X18,X17,X16,c_COMBK(tc_fun(X17,tc_HOL_Obool),X18,X15))) = c_Product__Type_OSigma(X17,X18,X15,c_COMBK(tc_fun(X18,tc_HOL_Obool),X17,X16)),
inference(variable_rename,[status(thm)],[c_0_666]) ).
fof(c_0_1189,plain,
! [X67,X68] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),esk90_2(X67,X68)),esk91_2(X67,X68))),X67))
| c_Relation_Otrans(X68,X67) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),esk91_2(X67,X68)),esk92_2(X67,X68))),X67))
| c_Relation_Otrans(X68,X67) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X68,X68)),hAPP(hAPP(c_Product__Type_OPair(X68,X68),esk90_2(X67,X68)),esk92_2(X67,X68))),X67))
| c_Relation_Otrans(X68,X67) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_667])])])]) ).
fof(c_0_1190,plain,
! [X18,X19,X20,X21,X22] :
( ( ~ c_Nitpick_Orefl_H(X19,X18)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X19,X19)),hAPP(hAPP(c_Product__Type_OPair(X19,X19),X20),X20)),X18)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),esk2_2(X21,X22)),esk2_2(X21,X22))),X21))
| c_Nitpick_Orefl_H(X22,X21) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_668])])])])]) ).
fof(c_0_1191,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( ~ hBOOL(hAPP(hAPP(c_member(X40),X39),hAPP(hAPP(X38,X37),X36)))
| hBOOL(hAPP(hAPP(c_member(X40),X39),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X35,X34,tc_fun(X40,tc_HOL_Obool)),X38),hAPP(hAPP(c_Product__Type_OPair(X35,X34),X37),X36)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_669])]) ).
fof(c_0_1192,plain,
! [X67,X68,X69,X70,X71,X72] :
( X70 != hAPP(hAPP(c_List_Olist_OCons(X69),X71),X72)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X69),tc_List_Olist(X69))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X69),tc_List_Olist(X69)),X68),hAPP(hAPP(c_List_Oappend(X69),X68),X70))),c_List_Olexord(X69,X67))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_670])])]) ).
fof(c_0_1193,plain,
! [X15,X16,X17,X18] : c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Relation_ORange(X17,X18,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X17,X18),tc_HOL_Obool)),X16),X15)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X18,tc_HOL_Obool)),c_Relation_ORange(X17,X18,X16)),c_Relation_ORange(X17,X18,X15))),
inference(variable_rename,[status(thm)],[c_0_671]) ).
fof(c_0_1194,plain,
! [X15,X16,X17,X18] : c_Orderings_Oord__class_Oless__eq(tc_fun(X18,tc_HOL_Obool),c_Relation_ODomain(X18,X17,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X18,X17),tc_HOL_Obool)),X16),X15)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X18,tc_HOL_Obool)),c_Relation_ODomain(X18,X17,X16)),c_Relation_ODomain(X18,X17,X15))),
inference(variable_rename,[status(thm)],[c_0_672]) ).
fof(c_0_1195,plain,
! [X49,X50,X51] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X51),c_List_OtakeWhile(X51,X50,X49)),c_Nat_Osize__class_Osize(tc_List_Olist(X51),X49))
| ~ hBOOL(hAPP(X50,c_List_Onth(X51,X49,c_Nat_Osize__class_Osize(tc_List_Olist(X51),c_List_OtakeWhile(X51,X50,X49))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_673])]) ).
fof(c_0_1196,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X20,X19)),X18),c_FuncSet_OPi(X20,X19,X17,X16)))
| ~ hBOOL(hAPP(hAPP(c_member(X20),X15),X17))
| hBOOL(hAPP(hAPP(c_member(X19),hAPP(X18,X15)),hAPP(X16,X15))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_674])]) ).
fof(c_0_1197,plain,
! [X15,X16,X17,X18,X19,X20] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X20,X19)),X18),c_FuncSet_OPi(X20,X19,X17,X16)))
| hBOOL(hAPP(hAPP(c_member(X19),hAPP(X18,X15)),hAPP(X16,X15)))
| ~ hBOOL(hAPP(hAPP(c_member(X20),X15),X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_675])]) ).
fof(c_0_1198,plain,
! [X23,X24,X25,X26,X27,X28] :
( ~ hBOOL(hAPP(hAPP(c_member(X28),X27),X26))
| ~ hBOOL(hAPP(hAPP(c_member(X25),X24),hAPP(X23,X27)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X28,X25)),hAPP(hAPP(c_Product__Type_OPair(X28,X25),X27),X24)),c_Product__Type_OSigma(X28,X25,X26,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_676])]) ).
fof(c_0_1199,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X34,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X34,tc_fun(X34,tc_HOL_Obool),tc_HOL_Obool),c_member(X34)),X33),hAPP(hAPP(c_COMBC(X34,tc_fun(X34,tc_HOL_Obool),tc_HOL_Obool),c_member(X34)),X32))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X34,tc_HOL_Obool),X33,X32) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X37,tc_HOL_Obool),X36,X35)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X37,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X37,tc_fun(X37,tc_HOL_Obool),tc_HOL_Obool),c_member(X37)),X36),hAPP(hAPP(c_COMBC(X37,tc_fun(X37,tc_HOL_Obool),tc_HOL_Obool),c_member(X37)),X35)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_677])])])]) ).
fof(c_0_1200,plain,
! [X102,X103,X104,X105,X106] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X106,X105),hAPP(X106,X104))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X103,X103)),hAPP(hAPP(c_Product__Type_OPair(X103,X103),X105),X104)),c_List_Omeasures(X103,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X103,tc_Nat_Onat)),X106),X102)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_678])]) ).
fof(c_0_1201,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( X16 != X13
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omktop(X14,X13))) )
& ( X15 != X13
| X16 != X15
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omktop(X14,X13))) )
& ( X15 = X13
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),X14))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omktop(X14,X13))) )
& ( X19 != X17
| X19 = X17
| X20 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omktop(X18,X17))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),X18))
| X19 = X17
| X20 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omktop(X18,X17))) )
& ( X19 != X17
| X20 = X19
| X20 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omktop(X18,X17))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),X18))
| X20 = X19
| X20 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omktop(X18,X17))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_679])])])])]) ).
fof(c_0_1202,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( X15 != X13
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omkbot(X14,X13))) )
& ( X16 != X13
| X16 != X15
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omkbot(X14,X13))) )
& ( X16 = X13
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),X14))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X16),X15)),c_Arrow__Order__Mirabelle_Omkbot(X14,X13))) )
& ( X20 != X17
| X20 = X17
| X19 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omkbot(X18,X17))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),X18))
| X20 = X17
| X19 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omkbot(X18,X17))) )
& ( X20 != X17
| X20 = X19
| X19 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omkbot(X18,X17))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),X18))
| X20 = X19
| X19 = X17
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X20),X19)),c_Arrow__Order__Mirabelle_Omkbot(X18,X17))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_680])])])])]) ).
fof(c_0_1203,plain,
! [X115,X116,X117,X118,X119] : c_Product__Type_OSigma(X119,X118,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X119,tc_HOL_Obool)),X117),X116),X115) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X119,X118),tc_HOL_Obool)),c_Product__Type_OSigma(X119,X118,X117,X115)),c_Product__Type_OSigma(X119,X118,X116,X115)),
inference(variable_rename,[status(thm)],[c_0_681]) ).
fof(c_0_1204,plain,
! [X5,X6] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X5))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X6))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_682])])])]) ).
fof(c_0_1205,plain,
! [X13,X14,X15] :
( X15 = X14
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X13),X15),X14)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_683])]) ).
fof(c_0_1206,plain,
! [X23,X24,X25,X26] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X26,X26)),hAPP(hAPP(c_Product__Type_OPair(X26,X26),X25),X24)),c_Transitive__Closure_Ortrancl(X26,X23)))
| ~ hBOOL(hAPP(hAPP(c_member(X26),X24),c_Wellfounded_Oacc(X26,X23)))
| hBOOL(hAPP(hAPP(c_member(X26),X25),c_Wellfounded_Oacc(X26,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_684])]) ).
fof(c_0_1207,plain,
! [X23,X24,X25,X26] :
( ~ hBOOL(hAPP(hAPP(c_member(X26),X25),c_Wellfounded_Oacc(X26,X24)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X26,X26)),hAPP(hAPP(c_Product__Type_OPair(X26,X26),X23),X25)),c_Transitive__Closure_Ortrancl(X26,X24)))
| hBOOL(hAPP(hAPP(c_member(X26),X23),c_Wellfounded_Oacc(X26,X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_685])]) ).
fof(c_0_1208,plain,
! [X42,X43,X44,X45,X46] :
( ( ~ c_Arrow__Order__Mirabelle_Odictator(X43,X42)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X44),c_Arrow__Order__Mirabelle_OProf))
| hAPP(X43,X44) = hAPP(X44,X42) )
& ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk22_2(X45,X46)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Odictator(X46,X45) )
& ( hAPP(X46,esk22_2(X45,X46)) != hAPP(esk22_2(X45,X46),X45)
| c_Arrow__Order__Mirabelle_Odictator(X46,X45) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_686])])])])])]) ).
fof(c_0_1209,plain,
! [X23,X24,X25,X26] :
( ~ hBOOL(hAPP(hAPP(c_member(X26),X25),c_Wellfounded_Oacc(X26,X24)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X26,X26)),hAPP(hAPP(c_Product__Type_OPair(X26,X26),X23),X25)),X24))
| hBOOL(hAPP(hAPP(c_member(X26),X23),c_Wellfounded_Oacc(X26,X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_687])]) ).
fof(c_0_1210,plain,
! [X13,X14,X15] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X15,X15)),hAPP(hAPP(c_Product__Type_OPair(X15,X15),X14),X13)),c_List_Omeasures(X15,c_List_Olist_ONil(tc_fun(X15,tc_Nat_Onat))))),
inference(variable_rename,[status(thm)],[c_0_688]) ).
fof(c_0_1211,plain,
! [X14,X15,X16,X17] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X17,X17)),hAPP(hAPP(c_Product__Type_OPair(X17,X17),X16),X14)),c_Transitive__Closure_Ortrancl(X17,X15)))
| X16 = X14
| hBOOL(hAPP(hAPP(c_member(X17),X16),c_Relation_ODomain(X17,X17,X15))) )
& ( X16 != X14
| hBOOL(hAPP(hAPP(c_member(tc_prod(X17,X17)),hAPP(hAPP(c_Product__Type_OPair(X17,X17),X16),X14)),c_Transitive__Closure_Ortrancl(X17,X15)))
| hBOOL(hAPP(hAPP(c_member(X17),X16),c_Relation_ODomain(X17,X17,X15))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_689])])]) ).
fof(c_0_1212,plain,
! [X13,X14,X15] :
( X15 = X14
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X13),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X13,X15,X14)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_690])]) ).
fof(c_0_1213,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X26)),hAPP(hAPP(c_Product__Type_OPair(X27,X26),X25),X24)),X23))
| hBOOL(hAPP(hAPP(c_member(X27),X25),c_Relation_ODomain(X27,X26,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_691])]) ).
fof(c_0_1214,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X27,X26)),hAPP(hAPP(c_Product__Type_OPair(X27,X26),X25),X24)),X23))
| hBOOL(hAPP(hAPP(c_member(X26),X24),c_Relation_ORange(X27,X26,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_692])]) ).
fof(c_0_1215,plain,
! [X9,X10] : hBOOL(hAPP(hAPP(c_member(tc_fun(X10,X10)),c_COMBI(X10)),c_FuncSet_OPi(X10,X10,X9,c_COMBK(tc_fun(X10,tc_HOL_Obool),X10,X9)))),
inference(variable_rename,[status(thm)],[c_0_693]) ).
fof(c_0_1216,plain,
! [X18,X19] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X19),tc_List_Olist(X19))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X19),tc_List_Olist(X19)),c_List_Olist_ONil(X19)),c_List_Olist_ONil(X19))),c_List_Olistrel(X19,X18))),
inference(variable_rename,[status(thm)],[c_0_694]) ).
fof(c_0_1217,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( X15 = X14
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X16,X16)),hAPP(hAPP(c_Product__Type_OPair(X16,X16),X15),X14)),c_Relation_OId__on(X16,X13))) )
& ( hBOOL(hAPP(hAPP(c_member(X16),X15),X13))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X16,X16)),hAPP(hAPP(c_Product__Type_OPair(X16,X16),X15),X14)),c_Relation_OId__on(X16,X13))) )
& ( X19 != X18
| ~ hBOOL(hAPP(hAPP(c_member(X20),X19),X17))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X20,X20)),hAPP(hAPP(c_Product__Type_OPair(X20,X20),X19),X18)),c_Relation_OId__on(X20,X17))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_695])])])])]) ).
fof(c_0_1218,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X16,X16)),hAPP(hAPP(c_Product__Type_OPair(X16,X16),X15),X14)),c_Wellfounded_Omeasure(X16,X13)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X13,X15),hAPP(X13,X14)) )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X17,X19),hAPP(X17,X18))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X20,X20)),hAPP(hAPP(c_Product__Type_OPair(X20,X20),X19),X18)),c_Wellfounded_Omeasure(X20,X17))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_696])])])]) ).
fof(c_0_1219,plain,
! [X49,X50,X51] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X51),tc_List_Olist(X51))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X51),tc_List_Olist(X51)),X50),X50)),c_List_Olistrel(X51,c_Transitive__Closure_Ortrancl(X51,X49)))),
inference(variable_rename,[status(thm)],[c_0_697]) ).
fof(c_0_1220,plain,
! [X18,X19,X20,X21,X22] :
( ( ~ c_Relation_Oirrefl(X19,X18)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X19,X19)),hAPP(hAPP(c_Product__Type_OPair(X19,X19),X20),X20)),X18)) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(X22,X22)),hAPP(hAPP(c_Product__Type_OPair(X22,X22),esk49_2(X21,X22)),esk49_2(X21,X22))),X21))
| c_Relation_Oirrefl(X22,X21) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_698])])])])]) ).
fof(c_0_1221,plain,
! [X13,X14] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X14,X13)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_699])]) ).
fof(c_0_1222,plain,
! [X13,X14] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X14),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X14,X13)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_700])]) ).
fof(c_0_1223,plain,
! [X49,X50] :
( X50 = c_List_Olist_ONil(X49)
| ~ c_List_Odistinct(X49,X50)
| c_List_OtakeWhile(X49,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X49),c_fNot),hAPP(hAPP(c_COMBC(X49,X49,tc_HOL_Obool),c_fequal),c_List_Olast(X49,X50))),X50) = c_List_Obutlast(X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_701])]) ).
fof(c_0_1224,plain,
! [X49,X50,X51,X52] :
( ~ hBOOL(hAPP(hAPP(c_member(X52),X51),c_Wellfounded_Oacc(X52,X50)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X52)),X49),c_Wellfounded_Oacc(tc_List_Olist(X52),c_List_Olistrel1(X52,X50))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X52)),hAPP(hAPP(c_List_Olist_OCons(X52),X51),X49)),c_Wellfounded_Oacc(tc_List_Olist(X52),c_List_Olistrel1(X52,X50)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_702])]) ).
fof(c_0_1225,plain,
! [X34,X35,X36,X37,X38,X39] : c_Set_Oimage(X39,X38,X37,c_Set_Oimage(X36,X39,X35,X34)) = c_Set_Oimage(X36,X38,hAPP(hAPP(c_COMBB(X39,X38,X36),X37),X35),X34),
inference(variable_rename,[status(thm)],[c_0_703]) ).
fof(c_0_1226,plain,
! [X87,X88,X89,X90] :
( ~ hBOOL(hAPP(c_List_Olistsp(X90,X89),X88))
| ~ hBOOL(hAPP(c_List_Olistsp(X90,X87),X88))
| hBOOL(hAPP(c_List_Olistsp(X90,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X90,tc_HOL_Obool)),X89),X87)),X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_704])]) ).
fof(c_0_1227,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X27,X26,tc_HOL_Obool),X25),hAPP(hAPP(c_Product__Type_OPair(X27,X26),X24),X23)))
| hBOOL(hAPP(hAPP(X25,X24),X23)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_705])])])]) ).
fof(c_0_1228,plain,
! [X91,X92,X93,X94,X95,X96] :
( ( c_Product__Type_OSigma(X93,X96,X92,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)) != c_Product__Type_OSigma(X93,X96,X91,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94))
| X92 = X91
| ~ hBOOL(hAPP(hAPP(c_member(X96),X95),X94)) )
& ( X92 != X91
| c_Product__Type_OSigma(X93,X96,X92,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94)) = c_Product__Type_OSigma(X93,X96,X91,c_COMBK(tc_fun(X96,tc_HOL_Obool),X93,X94))
| ~ hBOOL(hAPP(hAPP(c_member(X96),X95),X94)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_706])])]) ).
fof(c_0_1229,plain,
! [X34,X35,X36,X37,X38,X39] : c_Product__Type_Oprod_Oprod__rec(X39,X38,X37,X36,hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)) = hAPP(hAPP(X36,X35),X34),
inference(variable_rename,[status(thm)],[c_0_707]) ).
fof(c_0_1230,plain,
! [X14,X15,X16,X17,X18] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X18,X17),hAPP(X18,X16))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X15,X15)),hAPP(hAPP(c_Product__Type_OPair(X15,X15),X17),X16)),c_Wellfounded_Omlex__prod(X15,X18,X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_708])]) ).
fof(c_0_1231,plain,
! [X15,X16,X17,X18,X19] :
( ~ hBOOL(hAPP(hAPP(c_member(X19),X18),X17))
| hBOOL(hAPP(hAPP(c_member(X16),hAPP(X15,X18)),c_Set_Oimage(X19,X16,X15,X17))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_709])]) ).
fof(c_0_1232,plain,
! [X48,X49,X50,X51,X52,X53] : c_List_Olist_Olist__case(X53,X52,X51,X50,hAPP(hAPP(c_List_Olist_OCons(X52),X49),X48)) = hAPP(hAPP(X50,X49),X48),
inference(variable_rename,[status(thm)],[c_0_710]) ).
fof(c_0_1233,plain,
! [X22,X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(c_member(X27),X26),X25))
| X24 != hAPP(X23,X26)
| hBOOL(hAPP(hAPP(c_member(X22),X24),c_Set_Oimage(X27,X22,X23,X25))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_711])]) ).
fof(c_0_1234,plain,
! [X22,X23,X24,X25,X26,X27] :
( X27 != hAPP(X26,X25)
| ~ hBOOL(hAPP(hAPP(c_member(X24),X25),X23))
| hBOOL(hAPP(hAPP(c_member(X22),X27),c_Set_Oimage(X24,X22,X26,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_712])]) ).
fof(c_0_1235,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
c_0_713 ).
fof(c_0_1236,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
c_0_714 ).
fof(c_0_1237,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X53)),X52),c_List_Olists(X53,X50)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X53)),hAPP(hAPP(c_List_Oappend(X53),X52),X51)),c_List_Olists(X53,X50))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X53)),X51),c_List_Olists(X53,X50)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X53)),hAPP(hAPP(c_List_Oappend(X53),X52),X51)),c_List_Olists(X53,X50))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X57)),X56),c_List_Olists(X57,X54)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X57)),X55),c_List_Olists(X57,X54)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X57)),hAPP(hAPP(c_List_Oappend(X57),X56),X55)),c_List_Olists(X57,X54))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_715])])])])]) ).
fof(c_0_1238,plain,
! [X23,X24,X25,X26] :
( X26 != X25
| ~ hBOOL(hAPP(hAPP(c_member(X24),X26),X23))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X24,X24)),hAPP(hAPP(c_Product__Type_OPair(X24,X24),X26),X25)),c_Relation_OId__on(X24,X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_716])]) ).
fof(c_0_1239,plain,
! [X99,X100,X101,X102,X103] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X103,tc_HOL_Obool),X102,X101)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X103,X100),tc_HOL_Obool),c_FuncSet_OPi(X103,X100,X101,X99),c_FuncSet_OPi(X103,X100,X102,X99)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_717])]) ).
fof(c_0_1240,plain,
! [X34,X35,X36,X37,X38,X39] : hAPP(hAPP(c_Product__Type_Ocurry(X39,X38,X37,X36),X35),X34) = hAPP(X36,hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)),
inference(variable_rename,[status(thm)],[c_0_718]) ).
fof(c_0_1241,plain,
! [X34,X35,X36,X37,X38,X39] : hAPP(hAPP(c_Product__Type_Ocurry(X39,X38,X37,X36),X35),X34) = hAPP(X36,hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)),
inference(variable_rename,[status(thm)],[c_0_719]) ).
fof(c_0_1242,plain,
! [X48,X49,X50,X51] : c_List_Olist_Olist__case(X51,X50,X49,X48,c_List_Olist_ONil(X50)) = X49,
inference(variable_rename,[status(thm)],[c_0_720]) ).
fof(c_0_1243,plain,
! [X15,X16,X17,X18,X19] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool),X18,X17)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),c_Set_Oimage(X19,X16,X15,X18),c_Set_Oimage(X19,X16,X15,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_721])]) ).
fof(c_0_1244,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( hBOOL(hAPP(hAPP(c_member(X52),X51),X49))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X52)),hAPP(hAPP(c_List_Olist_OCons(X52),X51),X50)),c_List_Olists(X52,X49))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X52)),X50),c_List_Olists(X52,X49)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X52)),hAPP(hAPP(c_List_Olist_OCons(X52),X51),X50)),c_List_Olists(X52,X49))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X56),X55),X53))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X56)),X54),c_List_Olists(X56,X53)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X56)),hAPP(hAPP(c_List_Olist_OCons(X56),X55),X54)),c_List_Olists(X56,X53))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_722])])])])]) ).
fof(c_0_1245,plain,
! [X9,X10,X11,X12] :
( ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9)))
| hBOOL(hAPP(hAPP(c_member(X12),X11),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_723])]) ).
fof(c_0_1246,plain,
! [X9,X10,X11,X12] :
( ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9)))
| hBOOL(hAPP(hAPP(c_member(X12),X11),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_724])]) ).
fof(c_0_1247,plain,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ( hBOOL(hAPP(hAPP(c_member(X12),X11),X10))
| ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9))) )
& ( hBOOL(hAPP(hAPP(c_member(X12),X11),X9))
| ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X16),X15),X14))
| ~ hBOOL(hAPP(hAPP(c_member(X16),X15),X13))
| hBOOL(hAPP(hAPP(c_member(X16),X15),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_HOL_Obool)),X14),X13))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_725])])])])]) ).
fof(c_0_1248,plain,
! [X9,X10,X11,X12] :
( ( hBOOL(hAPP(hAPP(c_member(X12),X11),X10))
| ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9))) )
& ( hBOOL(hAPP(hAPP(c_member(X12),X11),X9))
| ~ hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_726])])]) ).
fof(c_0_1249,plain,
! [X91,X92,X93,X94] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X93),X92)),X91) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X93),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X92),X91)),
inference(variable_rename,[status(thm)],[c_0_727]) ).
fof(c_0_1250,plain,
! [X9,X10,X11] :
( ( hBOOL(hAPP(hAPP(c_member(X11),esk65_3(X9,X10,X11)),X9))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X11,X11)),X10),c_Relation_OId__on(X11,X9))) )
& ( X10 = hAPP(hAPP(c_Product__Type_OPair(X11,X11),esk65_3(X9,X10,X11)),esk65_3(X9,X10,X11))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X11,X11)),X10),c_Relation_OId__on(X11,X9))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_728])])])]) ).
fof(c_0_1251,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( hAPP(hAPP(c_COMBC(X34,tc_fun(X34,tc_HOL_Obool),tc_HOL_Obool),c_member(X34)),X33) != hAPP(hAPP(c_COMBC(X34,tc_fun(X34,tc_HOL_Obool),tc_HOL_Obool),c_member(X34)),X32)
| X33 = X32 )
& ( X36 != X35
| hAPP(hAPP(c_COMBC(X37,tc_fun(X37,tc_HOL_Obool),tc_HOL_Obool),c_member(X37)),X36) = hAPP(hAPP(c_COMBC(X37,tc_fun(X37,tc_HOL_Obool),tc_HOL_Obool),c_member(X37)),X35) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_729])])])]) ).
fof(c_0_1252,plain,
! [X23,X24,X25] : hBOOL(hAPP(hAPP(c_member(tc_prod(X25,X25)),hAPP(hAPP(c_Product__Type_OPair(X25,X25),X24),X24)),c_Transitive__Closure_Ortrancl(X25,X23))),
inference(variable_rename,[status(thm)],[c_0_730]) ).
fof(c_0_1253,plain,
! [X30,X31] :
( X31 = X30
| c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X31),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X30),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk9_2(X30,X31)),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_731])])]) ).
fof(c_0_1254,plain,
! [X9,X10,X11,X12] :
( ~ hBOOL(hAPP(hAPP(c_member(X12),X11),X10))
| ~ hBOOL(hAPP(hAPP(c_member(X12),X11),X9))
| hBOOL(hAPP(hAPP(c_member(X12),X11),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X12,tc_HOL_Obool)),X10),X9))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_732])]) ).
fof(c_0_1255,plain,
! [X33,X34,X35,X36,X37] :
( ~ hBOOL(hAPP(hAPP(X37,X36),X35))
| hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X34,X33,tc_HOL_Obool),X37),hAPP(hAPP(c_Product__Type_OPair(X34,X33),X36),X35))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_733])]) ).
fof(c_0_1256,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(X27,X26),X25))
| hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X24,X23,tc_HOL_Obool),X27),hAPP(hAPP(c_Product__Type_OPair(X24,X23),X26),X25))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_734])]) ).
fof(c_0_1257,plain,
! [X13,X14,X15,X16] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_HOL_Obool)),X15),X14),X13))
| hBOOL(hAPP(X15,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_735])])])]) ).
fof(c_0_1258,plain,
! [X13,X14,X15,X16] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_HOL_Obool)),X15),X14),X13))
| hBOOL(hAPP(X14,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_736])])])]) ).
fof(c_0_1259,plain,
! [X13,X14,X15,X16] :
( ( hBOOL(hAPP(X15,X13))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_HOL_Obool)),X15),X14),X13)) )
& ( hBOOL(hAPP(X14,X13))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X16,tc_HOL_Obool)),X15),X14),X13)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_737])])])])]) ).
fof(c_0_1260,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82] :
( ( hBOOL(hAPP(hAPP(X75,X74),X72))
| ~ c_List_Olistrelp(X76,X75,hAPP(hAPP(c_List_Olist_OCons(X76),X74),X73),hAPP(hAPP(c_List_Olist_OCons(X76),X72),X71)) )
& ( c_List_Olistrelp(X76,X75,X73,X71)
| ~ c_List_Olistrelp(X76,X75,hAPP(hAPP(c_List_Olist_OCons(X76),X74),X73),hAPP(hAPP(c_List_Olist_OCons(X76),X72),X71)) )
& ( ~ hBOOL(hAPP(hAPP(X81,X80),X78))
| ~ c_List_Olistrelp(X82,X81,X79,X77)
| c_List_Olistrelp(X82,X81,hAPP(hAPP(c_List_Olist_OCons(X82),X80),X79),hAPP(hAPP(c_List_Olist_OCons(X82),X78),X77)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_738])])])])]) ).
fof(c_0_1261,plain,
! [X50,X51,X52,X53,X54,X55] :
( ~ hBOOL(hAPP(hAPP(X55,X54),X53))
| ~ c_List_Olistrelp(X52,X55,X51,X50)
| c_List_Olistrelp(X52,X55,hAPP(hAPP(c_List_Olist_OCons(X52),X54),X51),hAPP(hAPP(c_List_Olist_OCons(X52),X53),X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_739])]) ).
fof(c_0_1262,plain,
! [X77,X78,X79,X82,X83,X84,X85,X86] :
( ( X78 = hAPP(hAPP(c_List_Olist_OCons(X79),esk63_3(X77,X78,X79)),esk64_3(X77,X78,X79))
| X78 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X79)),X78),c_List_Olists(X79,X77))) )
& ( hBOOL(hAPP(hAPP(c_member(X79),esk63_3(X77,X78,X79)),X77))
| X78 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X79)),X78),c_List_Olists(X79,X77))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X79)),esk64_3(X77,X78,X79)),c_List_Olists(X79,X77)))
| X78 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X79)),X78),c_List_Olists(X79,X77))) )
& ( X83 != c_List_Olist_ONil(X84)
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X84)),X83),c_List_Olists(X84,X82))) )
& ( X83 != hAPP(hAPP(c_List_Olist_OCons(X84),X85),X86)
| ~ hBOOL(hAPP(hAPP(c_member(X84),X85),X82))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X84)),X86),c_List_Olists(X84,X82)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X84)),X83),c_List_Olists(X84,X82))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_740])])])])])]) ).
fof(c_0_1263,plain,
! [X9,X10] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X10,X10),tc_HOL_Obool),c_Relation_OId__on(X10,X9),c_Product__Type_OSigma(X10,X10,X9,c_COMBK(tc_fun(X10,tc_HOL_Obool),X10,X9))),
inference(variable_rename,[status(thm)],[c_0_741]) ).
fof(c_0_1264,plain,
! [X23,X24] :
( ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),esk25_2(X23,X24)),c_Arrow__Order__Mirabelle_OLin))
| X24 = X23 )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X24),X23)),esk25_2(X23,X24)))
| X24 = X23 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_742])])])]) ).
fof(c_0_1265,plain,
! [X49,X50,X51,X52,X53] : c_List_Omaps(X53,X52,X51,hAPP(hAPP(c_List_Olist_OCons(X53),X50),X49)) = hAPP(hAPP(c_List_Oappend(X52),hAPP(X51,X50)),c_List_Omaps(X53,X52,X51,X49)),
inference(variable_rename,[status(thm)],[c_0_743]) ).
fof(c_0_1266,plain,
! [X96,X97,X98,X99,X100] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X100,tc_HOL_Obool),X99,X98)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X100,tc_HOL_Obool),X97,X96)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X100,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X100,tc_HOL_Obool)),X99),X97),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X100,tc_HOL_Obool)),X98),X96)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_744])]) ).
fof(c_0_1267,plain,
! [X76,X77,X78] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X78,X78)),X77),X76))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X78,X78)),X77),c_Transitive__Closure_Ortrancl(X78,X76))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_745])]) ).
fof(c_0_1268,plain,
! [X91,X92,X93,X94] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X93),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X92),X91)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X92),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X93),X91)),
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1269,plain,
! [X49,X50,X51] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X51)),X50),c_Wellfounded_Oacc(tc_List_Olist(X51),c_List_Olistrel1(X51,X49))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X51)),X50),c_List_Olists(X51,c_Wellfounded_Oacc(X51,X49)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_747])]) ).
fof(c_0_1270,plain,
! [X49,X50,X51] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X51)),X50),c_List_Olists(X51,c_Wellfounded_Oacc(X51,X49))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X51)),X50),c_Wellfounded_Oacc(tc_List_Olist(X51),c_List_Olistrel1(X51,X49)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_748])]) ).
fof(c_0_1271,plain,
! [X36,X37,X38] :
( ~ c_Relation_Otrans(X38,X37)
| ~ c_Relation_Otrans(X38,X36)
| c_Relation_Otrans(X38,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X38,X38),tc_HOL_Obool)),X37),X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_749])]) ).
fof(c_0_1272,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57,X58,X59] :
( ( X52 = hAPP(hAPP(c_List_Oappend(X54),c_List_OtakeWhile(X54,X53,X52)),hAPP(hAPP(c_List_Olist_OCons(X54),X51),X50))
| c_List_OdropWhile(X54,X53,X52) != hAPP(hAPP(c_List_Olist_OCons(X54),X51),X50) )
& ( ~ hBOOL(hAPP(X53,X51))
| c_List_OdropWhile(X54,X53,X52) != hAPP(hAPP(c_List_Olist_OCons(X54),X51),X50) )
& ( X57 != hAPP(hAPP(c_List_Oappend(X59),c_List_OtakeWhile(X59,X58,X57)),hAPP(hAPP(c_List_Olist_OCons(X59),X56),X55))
| hBOOL(hAPP(X58,X56))
| c_List_OdropWhile(X59,X58,X57) = hAPP(hAPP(c_List_Olist_OCons(X59),X56),X55) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_750])])])])]) ).
fof(c_0_1273,plain,
! [X13,X14,X15,X16] :
( ~ hBOOL(hAPP(X16,X15))
| ~ hBOOL(hAPP(X14,X15))
| hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X13,tc_HOL_Obool)),X16),X14),X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_751])]) ).
fof(c_0_1274,plain,
! [X112,X113,X114,X115] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X114),c_List_OtakeWhile(X114,X113,X112)))
| c_List_Onth(X114,c_List_OtakeWhile(X114,X113,X112),X115) = c_List_Onth(X114,X112,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_752])]) ).
fof(c_0_1275,plain,
! [X47,X48,X49,X50,X51] : c_List_Osplice(X51,hAPP(hAPP(c_List_Olist_OCons(X51),X50),X49),hAPP(hAPP(c_List_Olist_OCons(X51),X48),X47)) = hAPP(hAPP(c_List_Olist_OCons(X51),X50),hAPP(hAPP(c_List_Olist_OCons(X51),X48),c_List_Osplice(X51,X49,X47))),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1276,plain,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk6_0),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_754])])]) ).
fof(c_0_1277,axiom,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
c_0_755 ).
fof(c_0_1278,plain,
! [X34,X35,X36,X37] : hAPP(c_Product__Type_Oprod_Oprod__case(X37,X36,X35),c_Product__Type_Ocurry(X37,X36,X35,X34)) = X34,
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1279,plain,
! [X91,X92,X93,X94] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,X92)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,X91)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X94,tc_HOL_Obool)),X92),X91)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_757])]) ).
fof(c_0_1280,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X25,X24),X23))
| ~ hBOOL(hAPP(hAPP(X24,X26),X23))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X25,X24),X26)) )
& ( hBOOL(hAPP(hAPP(X28,esk60_3(X27,X28,X29)),X27))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),X27)) )
& ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),esk60_3(X27,X28,X29)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),X27)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_758])])])])])]) ).
fof(c_0_1281,plain,
! [X23,X24,X25,X26,X27,X28,X29] :
( ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X25,X24),X23))
| ~ hBOOL(hAPP(hAPP(X24,X26),X23))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X25,X24),X26)) )
& ( hBOOL(hAPP(hAPP(X28,esk59_3(X27,X28,X29)),X27))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),X27)) )
& ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),esk59_3(X27,X28,X29)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X29,X28),X27)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_759])])])])])]) ).
fof(c_0_1282,plain,
! [X98,X99,X100,X101,X102,X103] : hAPP(hAPP(hAPP(c_COMBS(X103,X102,X101),X100),X99),X98) = hAPP(hAPP(X100,X98),hAPP(X99,X98)),
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1283,plain,
! [X75,X76,X77,X78] :
( ~ c_Relation_Otrans(X78,X77)
| ~ c_Relation_Otrans(X76,X75)
| c_Relation_Otrans(tc_prod(X78,X76),c_Wellfounded_Olex__prod(X78,X76,X77,X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_761])]) ).
fof(c_0_1284,plain,
! [X69,X70,X71,X72,X74,X75,X76,X77,X78] :
( ( ~ c_Predicate_ORangeP(X72,X71,X70,X69)
| hBOOL(hAPP(hAPP(X70,esk58_2(X69,X70)),X69)) )
& ( ~ hBOOL(hAPP(hAPP(X75,X76),X74))
| c_Predicate_ORangeP(X78,X77,X75,X74) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_762])])])])]) ).
fof(c_0_1285,plain,
! [X50,X51,X52,X53,X54,X55,X56] :
( ( c_Nat_Osize__class_Osize(tc_List_Olist(X50),X52) = c_Nat_Osize__class_Osize(tc_List_Olist(X50),X51)
| X52 != X51 )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X53,c_Nat_Osize__class_Osize(tc_List_Olist(X50),X52))
| c_List_Onth(X50,X52,X53) = c_List_Onth(X50,X51,X53)
| X52 != X51 )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk97_3(X54,X55,X56),c_Nat_Osize__class_Osize(tc_List_Olist(X54),X56))
| c_Nat_Osize__class_Osize(tc_List_Olist(X54),X56) != c_Nat_Osize__class_Osize(tc_List_Olist(X54),X55)
| X56 = X55 )
& ( c_List_Onth(X54,X56,esk97_3(X54,X55,X56)) != c_List_Onth(X54,X55,esk97_3(X54,X55,X56))
| c_Nat_Osize__class_Osize(tc_List_Olist(X54),X56) != c_Nat_Osize__class_Osize(tc_List_Olist(X54),X55)
| X56 = X55 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_763])])])])])]) ).
fof(c_0_1286,plain,
! [X9,X10,X11] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9),
inference(variable_rename,[status(thm)],[c_0_764]) ).
fof(c_0_1287,plain,
! [X9,X10,X11] : c_List_Olistsp(X11,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X11),tc_HOL_Obool)),c_List_Olistsp(X11,X10)),c_List_Olistsp(X11,X9)),
inference(variable_rename,[status(thm)],[c_0_765]) ).
fof(c_0_1288,plain,
! [X98,X99,X100,X101,X102,X103] : hAPP(hAPP(hAPP(c_COMBC(X103,X102,X101),X100),X99),X98) = hAPP(hAPP(X100,X98),X99),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1289,plain,
! [X98,X99,X100,X101,X102,X103] : hAPP(hAPP(hAPP(c_COMBB(X103,X102,X101),X100),X99),X98) = hAPP(X100,hAPP(X99,X98)),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1290,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( ( hBOOL(hAPP(c_List_Olistsp(X53,X52),X51))
| ~ hBOOL(hAPP(c_List_Olistsp(X53,X52),hAPP(hAPP(c_List_Oappend(X53),X51),X50))) )
& ( hBOOL(hAPP(c_List_Olistsp(X53,X52),X50))
| ~ hBOOL(hAPP(c_List_Olistsp(X53,X52),hAPP(hAPP(c_List_Oappend(X53),X51),X50))) )
& ( ~ hBOOL(hAPP(c_List_Olistsp(X57,X56),X55))
| ~ hBOOL(hAPP(c_List_Olistsp(X57,X56),X54))
| hBOOL(hAPP(c_List_Olistsp(X57,X56),hAPP(hAPP(c_List_Oappend(X57),X55),X54))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_768])])])])]) ).
fof(c_0_1291,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78] :
( ( hBOOL(hAPP(X73,X72))
| ~ hBOOL(hAPP(c_List_Olistsp(X74,X73),hAPP(hAPP(c_List_Olist_OCons(X74),X72),X71))) )
& ( hBOOL(hAPP(c_List_Olistsp(X74,X73),X71))
| ~ hBOOL(hAPP(c_List_Olistsp(X74,X73),hAPP(hAPP(c_List_Olist_OCons(X74),X72),X71))) )
& ( ~ hBOOL(hAPP(X77,X76))
| ~ hBOOL(hAPP(c_List_Olistsp(X78,X77),X75))
| hBOOL(hAPP(c_List_Olistsp(X78,X77),hAPP(hAPP(c_List_Olist_OCons(X78),X76),X75))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_769])])])])]) ).
fof(c_0_1292,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57,X58,X59] :
( ( X53 = X51
| hAPP(hAPP(c_List_Oappend(X54),X53),hAPP(hAPP(c_List_Olist_OCons(X54),X52),c_List_Olist_ONil(X54))) != hAPP(hAPP(c_List_Oappend(X54),X51),hAPP(hAPP(c_List_Olist_OCons(X54),X50),c_List_Olist_ONil(X54))) )
& ( X52 = X50
| hAPP(hAPP(c_List_Oappend(X54),X53),hAPP(hAPP(c_List_Olist_OCons(X54),X52),c_List_Olist_ONil(X54))) != hAPP(hAPP(c_List_Oappend(X54),X51),hAPP(hAPP(c_List_Olist_OCons(X54),X50),c_List_Olist_ONil(X54))) )
& ( X58 != X56
| X57 != X55
| hAPP(hAPP(c_List_Oappend(X59),X58),hAPP(hAPP(c_List_Olist_OCons(X59),X57),c_List_Olist_ONil(X59))) = hAPP(hAPP(c_List_Oappend(X59),X56),hAPP(hAPP(c_List_Olist_OCons(X59),X55),c_List_Olist_ONil(X59))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_770])])])])]) ).
fof(c_0_1293,plain,
! [X90,X91,X92,X93,X94,X95] :
( X95 != X94
| hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X93,X92,X91),X90),X95) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X93,X92,X91),X90),X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_771])]) ).
fof(c_0_1294,plain,
! [X77,X78,X79,X82,X83,X84,X85,X86] :
( ( X77 = hAPP(hAPP(c_List_Olist_OCons(X79),esk81_3(X77,X78,X79)),esk82_3(X77,X78,X79))
| X77 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(c_List_Olistsp(X79,X78),X77)) )
& ( hBOOL(hAPP(X78,esk81_3(X77,X78,X79)))
| X77 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(c_List_Olistsp(X79,X78),X77)) )
& ( hBOOL(hAPP(c_List_Olistsp(X79,X78),esk82_3(X77,X78,X79)))
| X77 = c_List_Olist_ONil(X79)
| ~ hBOOL(hAPP(c_List_Olistsp(X79,X78),X77)) )
& ( X82 != c_List_Olist_ONil(X84)
| hBOOL(hAPP(c_List_Olistsp(X84,X83),X82)) )
& ( X82 != hAPP(hAPP(c_List_Olist_OCons(X84),X85),X86)
| ~ hBOOL(hAPP(X83,X85))
| ~ hBOOL(hAPP(c_List_Olistsp(X84,X83),X86))
| hBOOL(hAPP(c_List_Olistsp(X84,X83),X82)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_772])])])])])]) ).
fof(c_0_1295,plain,
! [X36,X37,X38,X39] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),X37,X36)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X39,tc_HOL_Obool),c_Relation_ODomain(X39,X38,X37),c_Relation_ODomain(X39,X38,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_773])]) ).
fof(c_0_1296,plain,
! [X34,X35,X36,X37] : c_Product__Type_Ocurry(X37,X36,X35,hAPP(c_Product__Type_Oprod_Oprod__case(X37,X36,X35),X34)) = X34,
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1297,plain,
! [X113,X114,X115,X116,X117,X118] :
( ( ~ c_List_Odistinct(X114,X113)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X115,c_Nat_Osize__class_Osize(tc_List_Olist(X114),X113))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X116,c_Nat_Osize__class_Osize(tc_List_Olist(X114),X113))
| X115 = X116
| c_List_Onth(X114,X113,X115) != c_List_Onth(X114,X113,X116) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk98_2(X117,X118),c_Nat_Osize__class_Osize(tc_List_Olist(X118),X117))
| c_List_Odistinct(X118,X117) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk99_2(X117,X118),c_Nat_Osize__class_Osize(tc_List_Olist(X118),X117))
| c_List_Odistinct(X118,X117) )
& ( esk98_2(X117,X118) != esk99_2(X117,X118)
| c_List_Odistinct(X118,X117) )
& ( c_List_Onth(X118,X117,esk98_2(X117,X118)) = c_List_Onth(X118,X117,esk99_2(X117,X118))
| c_List_Odistinct(X118,X117) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_775])])])])])]) ).
fof(c_0_1298,plain,
! [X112,X113,X114,X115] :
( ( c_List_Onth(X115,X114,X113) != c_List_Onth(X115,X114,X112)
| X113 = X112
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X112,c_Nat_Osize__class_Osize(tc_List_Olist(X115),X114))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X113,c_Nat_Osize__class_Osize(tc_List_Olist(X115),X114))
| ~ c_List_Odistinct(X115,X114) )
& ( X113 != X112
| c_List_Onth(X115,X114,X113) = c_List_Onth(X115,X114,X112)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X112,c_Nat_Osize__class_Osize(tc_List_Olist(X115),X114))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X113,c_Nat_Osize__class_Osize(tc_List_Olist(X115),X114))
| ~ c_List_Odistinct(X115,X114) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_776])])]) ).
fof(c_0_1299,plain,
! [X32,X33,X34] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X33,X32)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X34,X34),tc_HOL_Obool),X32,c_Transitive__Closure_Ortrancl(X34,X33))
| c_Transitive__Closure_Ortrancl(X34,X32) = c_Transitive__Closure_Ortrancl(X34,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_777])]) ).
fof(c_0_1300,plain,
! [X34,X35,X36,X37,X38,X39] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X39,X38,X37),X36),hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)) = hAPP(hAPP(X36,X35),X34),
inference(variable_rename,[status(thm)],[c_0_778]) ).
fof(c_0_1301,plain,
! [X34,X35,X36,X37,X38,X39] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X39,X38,X37),X36),hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)) = hAPP(hAPP(X36,X35),X34),
inference(variable_rename,[status(thm)],[c_0_779]) ).
fof(c_0_1302,plain,
! [X34,X35,X36,X37,X38,X39] : hAPP(hAPP(c_Product__Type_Ointernal__split(X39,X38,X37),X36),hAPP(hAPP(c_Product__Type_OPair(X39,X38),X35),X34)) = hAPP(hAPP(X36,X35),X34),
inference(variable_rename,[status(thm)],[c_0_780]) ).
fof(c_0_1303,plain,
! [X103,X104,X105] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X105)
| hBOOL(hAPP(hAPP(X103,X104),X105))
| X105 = X104
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X105,X104) )
& ( ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| hBOOL(hAPP(hAPP(X103,X104),X105))
| X105 = X104
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X105,X104) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X105)
| hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X105,X104) )
& ( ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X105,X104) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X105)
| hBOOL(hAPP(hAPP(X103,X104),X105))
| X105 = X104
| ~ hBOOL(hAPP(hAPP(X103,X104),X105)) )
& ( ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| hBOOL(hAPP(hAPP(X103,X104),X105))
| X105 = X104
| ~ hBOOL(hAPP(hAPP(X103,X104),X105)) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X105)
| hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105)) )
& ( ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105))
| ~ hBOOL(hAPP(hAPP(X103,X104),X105)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_781])])]) ).
fof(c_0_1304,plain,
! [X15,X16,X17,X18,X19] :
( ~ class_Lattices_Olattice(X19)
| hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X18,X19)),X17),X16),X15) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X19),hAPP(X17,X15)),hAPP(X16,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_782])]) ).
fof(c_0_1305,plain,
! [X15,X16,X17,X18,X19] :
( ~ class_Lattices_Olattice(X19)
| hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X18,X19)),X17),X16),X15) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X19),hAPP(X17,X15)),hAPP(X16,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_783])]) ).
fof(c_0_1306,plain,
! [X87,X88,X89,X90,X91] :
( hBOOL(hAPP(X91,X90))
| c_List_OtakeWhile(X89,X91,hAPP(hAPP(c_List_Oappend(X89),X88),hAPP(hAPP(c_List_Olist_OCons(X89),X90),X87))) = c_List_OtakeWhile(X89,X91,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_784])]) ).
fof(c_0_1307,plain,
! [X101,X102,X103,X104,X105] :
( ~ class_Lattices_Osemilattice__inf(X105)
| ~ c_Orderings_Oord__class_Oless__eq(X105,X104,X103)
| ~ c_Orderings_Oord__class_Oless__eq(X105,X102,X101)
| c_Orderings_Oord__class_Oless__eq(X105,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X105),X104),X102),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X105),X103),X101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_785])]) ).
fof(c_0_1308,plain,
! [X36,X37,X38] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),X37,X36)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X38),tc_List_Olist(X38)),tc_HOL_Obool),c_List_Olistrel1(X38,X37),c_List_Olistrel1(X38,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_786])]) ).
fof(c_0_1309,plain,
! [X36,X37,X38] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),X37,X36)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X38),tc_List_Olist(X38)),tc_HOL_Obool),c_List_Olistrel(X38,X37),c_List_Olistrel(X38,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_787])]) ).
fof(c_0_1310,plain,
! [X36,X37,X38] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),X37,c_Transitive__Closure_Ortrancl(X38,X36))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X38,X37),c_Transitive__Closure_Ortrancl(X38,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_788])]) ).
fof(c_0_1311,plain,
! [X93,X94,X95,X96] :
( ~ class_Lattices_Osemilattice__inf(X96)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X95),X94)),X93) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X95),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X94),X93)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_789])]) ).
fof(c_0_1312,plain,
! [X92,X93,X94,X95] :
( ~ class_Lattices_Olattice(X95)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),X93)),X92) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_790])]) ).
fof(c_0_1313,plain,
! [X92,X93,X94,X95] :
( ~ class_Lattices_Osemilattice__inf(X95)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),X93)),X92) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_791])]) ).
fof(c_0_1314,plain,
! [X46,X47,X48,X49] : hAPP(hAPP(c_List_Oappend(X49),hAPP(hAPP(c_List_Olist_OCons(X49),X48),X47)),X46) = hAPP(hAPP(c_List_Olist_OCons(X49),X48),hAPP(hAPP(c_List_Oappend(X49),X47),X46)),
inference(variable_rename,[status(thm)],[c_0_792]) ).
fof(c_0_1315,plain,
! [X53,X54,X55,X56] : hAPP(hAPP(c_List_Oappend(X56),hAPP(hAPP(c_List_Oappend(X56),X55),X54)),X53) = hAPP(hAPP(c_List_Oappend(X56),X55),hAPP(hAPP(c_List_Oappend(X56),X54),X53)),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1316,plain,
! [X98,X99,X100,X101,X102,X103] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X103,tc_fun(X102,tc_HOL_Obool)),X101,X100)
| ~ hBOOL(hAPP(hAPP(X101,X99),X98))
| hBOOL(hAPP(hAPP(X100,X99),X98)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_794])])])]) ).
fof(c_0_1317,plain,
! [X98,X99,X100,X101,X102,X103] :
( ~ hBOOL(hAPP(hAPP(X103,X102),X101))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X100,tc_fun(X99,tc_HOL_Obool)),X103,X98)
| hBOOL(hAPP(hAPP(X98,X102),X101)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_795])]) ).
fof(c_0_1318,plain,
! [X46,X47,X48,X49] : c_List_Onth(X49,hAPP(hAPP(c_List_Oappend(X49),X48),hAPP(hAPP(c_List_Olist_OCons(X49),X47),X46)),c_Nat_Osize__class_Osize(tc_List_Olist(X49),X48)) = X47,
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1319,plain,
! [X9,X10,X11,X12] :
( ~ c_Orderings_Oord__class_Oless(tc_fun(X12,tc_HOL_Obool),X11,X10)
| ~ hBOOL(hAPP(hAPP(c_member(X12),X9),X11))
| hBOOL(hAPP(hAPP(c_member(X12),X9),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_797])]) ).
fof(c_0_1320,plain,
! [X13,X14,X15,X16] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,X14)
| ~ hBOOL(hAPP(hAPP(c_member(X16),X13),X15))
| hBOOL(hAPP(hAPP(c_member(X16),X13),X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_798])]) ).
fof(c_0_1321,plain,
! [X13,X14,X15,X16] :
( ~ hBOOL(hAPP(hAPP(c_member(X16),X15),X14))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X14,X13)
| hBOOL(hAPP(hAPP(c_member(X16),X15),X13)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_799])]) ).
fof(c_0_1322,plain,
! [X13,X14,X15,X16] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X16,tc_HOL_Obool),X15,X14)
| ~ hBOOL(hAPP(hAPP(c_member(X16),X13),X15))
| hBOOL(hAPP(hAPP(c_member(X16),X13),X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_800])]) ).
fof(c_0_1323,plain,
! [X9,X10,X11,X12] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool),X11,X10)
| ~ hBOOL(hAPP(hAPP(c_member(X12),X9),X11))
| hBOOL(hAPP(hAPP(c_member(X12),X9),X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_801])]) ).
fof(c_0_1324,plain,
! [X36,X37,X38] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),X37,X36)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X38,X38),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X38,X37),c_Transitive__Closure_Ortrancl(X38,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_802])]) ).
fof(c_0_1325,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(X27,X26),X25))
| c_Predicate_ODomainP(X24,X23,X27,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_803])]) ).
fof(c_0_1326,plain,
! [X23,X24,X25,X26,X27] :
( ~ hBOOL(hAPP(hAPP(X27,X26),X25))
| c_Predicate_ORangeP(X24,X23,X27,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_804])]) ).
fof(c_0_1327,plain,
! [X49,X50,X51] : hAPP(hAPP(c_List_Oappend(X51),c_List_OtakeWhile(X51,X50,X49)),c_List_OdropWhile(X51,X50,X49)) = X49,
inference(variable_rename,[status(thm)],[c_0_805]) ).
fof(c_0_1328,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ~ hBOOL(hAPP(X52,X51))
| c_List_OtakeWhile(X50,X52,hAPP(hAPP(c_List_Olist_OCons(X50),X51),X49)) = hAPP(hAPP(c_List_Olist_OCons(X50),X51),c_List_OtakeWhile(X50,X52,X49)) )
& ( hBOOL(hAPP(X56,X55))
| c_List_OtakeWhile(X54,X56,hAPP(hAPP(c_List_Olist_OCons(X54),X55),X53)) = c_List_Olist_ONil(X54) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_806])])])]) ).
fof(c_0_1329,plain,
! [X9,X10,X11] : c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9),X9),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1330,plain,
! [X9,X10,X11] : c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9),X10),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1331,plain,
! [X18,X19] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X19),tc_List_Olist(X19)),tc_HOL_Obool),c_List_Olistrel1(X19,c_Transitive__Closure_Ortrancl(X19,X18)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X19),c_List_Olistrel1(X19,X18))),
inference(variable_rename,[status(thm)],[c_0_809]) ).
fof(c_0_1332,plain,
! [X40,X41,X42] : c_List_Obutlast(X42,hAPP(hAPP(c_List_Oappend(X42),X41),hAPP(hAPP(c_List_Olist_OCons(X42),X40),c_List_Olist_ONil(X42)))) = X41,
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1333,plain,
! [X40,X41,X42] : c_List_Olast(X42,hAPP(hAPP(c_List_Oappend(X42),X41),hAPP(hAPP(c_List_Olist_OCons(X42),X40),c_List_Olist_ONil(X42)))) = X40,
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1334,plain,
! [X36,X37,X38,X39] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X39,X38),tc_HOL_Obool),X37,X36)
| ~ c_Relation_Osingle__valued(X39,X38,X36)
| c_Relation_Osingle__valued(X39,X38,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_812])]) ).
fof(c_0_1335,plain,
! [X49,X50,X51] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X51),c_List_OdropWhile(X51,X50,X49)),c_Nat_Osize__class_Osize(tc_List_Olist(X51),X49)),
inference(variable_rename,[status(thm)],[c_0_813]) ).
fof(c_0_1336,plain,
! [X49,X50,X51] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X51),c_List_OtakeWhile(X51,X50,X49)),c_Nat_Osize__class_Osize(tc_List_Olist(X51),X49)),
inference(variable_rename,[status(thm)],[c_0_814]) ).
fof(c_0_1337,plain,
! [X23,X24,X25,X26] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X26,X25),X24))
| ~ hBOOL(hAPP(hAPP(X25,X23),X24))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X26,X25),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_815])]) ).
fof(c_0_1338,plain,
! [X13,X14,X15,X16] :
( ( c_Orderings_Oord__class_Oless__eq(X16,X15,X14)
| ~ c_Orderings_Oord__class_Oless__eq(X16,X15,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X16),X14),X13))
| ~ class_Lattices_Osemilattice__inf(X16) )
& ( c_Orderings_Oord__class_Oless__eq(X16,X15,X13)
| ~ c_Orderings_Oord__class_Oless__eq(X16,X15,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X16),X14),X13))
| ~ class_Lattices_Osemilattice__inf(X16) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X16,X15,X14)
| ~ c_Orderings_Oord__class_Oless__eq(X16,X15,X13)
| c_Orderings_Oord__class_Oless__eq(X16,X15,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X16),X14),X13))
| ~ class_Lattices_Osemilattice__inf(X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_816])])]) ).
fof(c_0_1339,plain,
! [X40,X41,X42,X43] :
( ~ class_Lattices_Osemilattice__inf(X43)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,X41)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,X40)
| c_Orderings_Oord__class_Oless__eq(X43,X42,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X41),X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_817])]) ).
fof(c_0_1340,plain,
! [X92,X93,X94,X95] :
( ~ class_Lattices_Osemilattice__inf(X95)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X92)
| c_Orderings_Oord__class_Oless__eq(X95,X94,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_818])]) ).
fof(c_0_1341,plain,
! [X75,X76,X77] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X77,X77),tc_HOL_Obool),X76,X75)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X77,tc_HOL_Obool),c_Wellfounded_Oacc(X77,X75),c_Wellfounded_Oacc(X77,X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_819])]) ).
fof(c_0_1342,plain,
! [X39,X40] :
( X40 = c_List_Olist_ONil(X39)
| hAPP(hAPP(c_List_Oappend(X39),c_List_Obutlast(X39,X40)),hAPP(hAPP(c_List_Olist_OCons(X39),c_List_Olast(X39,X40)),c_List_Olist_ONil(X39))) = X40 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_820])]) ).
fof(c_0_1343,plain,
! [X75,X76,X77] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X77,tc_fun(X77,tc_HOL_Obool)),X76,X75)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X77,tc_HOL_Obool),c_Wellfounded_Oaccp(X77,X75),c_Wellfounded_Oaccp(X77,X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_821])]) ).
fof(c_0_1344,plain,
! [X91,X92,X93,X94] :
( ~ c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X93,X92)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X92,X91)
| c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X93,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_822])]) ).
fof(c_0_1345,plain,
! [X91,X92,X93,X94] :
( ~ c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X93,X92)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X92,X91)
| c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X93,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_823])]) ).
fof(c_0_1346,plain,
! [X91,X92,X93,X94] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,X92)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X92,X91)
| c_Orderings_Oord__class_Oless(tc_fun(X94,tc_HOL_Obool),X93,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_824])]) ).
fof(c_0_1347,plain,
! [X91,X92,X93,X94] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,X92)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X92,X91)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X94,tc_HOL_Obool),X93,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_825])]) ).
fof(c_0_1348,plain,
! [X93,X94,X95,X96] :
( ~ class_Lattices_Osemilattice__inf(X96)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X95),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X94),X93)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X94),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X96),X95),X93)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_826])]) ).
fof(c_0_1349,plain,
! [X92,X93,X94,X95] :
( ~ class_Lattices_Olattice(X95)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),X92)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_827])]) ).
fof(c_0_1350,plain,
! [X92,X93,X94,X95] :
( ~ class_Lattices_Osemilattice__inf(X95)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),X92)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X93),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X95),X94),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_828])]) ).
fof(c_0_1351,plain,
! [X40,X41,X42,X43] :
( ( c_Orderings_Oord__class_Oless__eq(X43,X42,X41)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X41),X40))
| ~ class_Lattices_Osemilattice__inf(X43) )
& ( c_Orderings_Oord__class_Oless__eq(X43,X42,X40)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X41),X40))
| ~ class_Lattices_Osemilattice__inf(X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_829])])]) ).
fof(c_0_1352,plain,
! [X15,X16,X17,X18] :
( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X16,X15)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X17,X18),X16,X15)
| ~ class_Orderings_Oord(X18) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X15,X16)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X17,X18),X16,X15)
| ~ class_Orderings_Oord(X18) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X16,X15)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X17,X18),X15,X16)
| c_Orderings_Oord__class_Oless(tc_fun(X17,X18),X16,X15)
| ~ class_Orderings_Oord(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_830])])]) ).
fof(c_0_1353,plain,
! [X18,X19] : c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X19),tc_List_Olist(X19)),tc_HOL_Obool),c_List_Olistrel(X19,X18),c_Transitive__Closure_Ortrancl(tc_List_Olist(X19),c_List_Olistrel1(X19,X18))),
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1354,plain,
! [X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40] :
( ( X32 = X30
| hAPP(hAPP(c_Product__Type_OPair(X34,X33),X32),X31) != hAPP(hAPP(c_Product__Type_OPair(X34,X33),X30),X29) )
& ( X31 = X29
| hAPP(hAPP(c_Product__Type_OPair(X34,X33),X32),X31) != hAPP(hAPP(c_Product__Type_OPair(X34,X33),X30),X29) )
& ( X38 != X36
| X37 != X35
| hAPP(hAPP(c_Product__Type_OPair(X40,X39),X38),X37) = hAPP(hAPP(c_Product__Type_OPair(X40,X39),X36),X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_832])])])])]) ).
fof(c_0_1355,plain,
! [X27,X28,X29,X30,X31,X32] :
( ( X30 = X28
| hAPP(hAPP(c_Product__Type_OPair(X32,X31),X30),X29) != hAPP(hAPP(c_Product__Type_OPair(X32,X31),X28),X27) )
& ( X29 = X27
| hAPP(hAPP(c_Product__Type_OPair(X32,X31),X30),X29) != hAPP(hAPP(c_Product__Type_OPair(X32,X31),X28),X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_833])])])])]) ).
fof(c_0_1356,plain,
! [X46,X47,X48,X49] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X49),X48),c_Nat_Osize__class_Osize(tc_List_Olist(X49),X47))
| X48 != hAPP(hAPP(c_List_Olist_OCons(X49),X46),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_834])]) ).
fof(c_0_1357,plain,
! [X9,X10,X11] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X9),X10),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1358,plain,
! [X40,X41,X42,X43] :
( c_List_Orotate1(X40,c_List_Olist_ONil(X40)) = c_List_Olist_ONil(X40)
& c_List_Orotate1(X43,hAPP(hAPP(c_List_Olist_OCons(X43),X42),X41)) = hAPP(hAPP(c_List_Oappend(X43),X41),hAPP(hAPP(c_List_Olist_OCons(X43),X42),c_List_Olist_ONil(X43))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_836])])]) ).
fof(c_0_1359,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( ( X50 != c_List_Olist_ONil(X53)
| hAPP(hAPP(c_List_Oappend(X53),X52),hAPP(hAPP(c_List_Olist_OCons(X53),X51),c_List_Olist_ONil(X53))) != X50 )
& ( c_List_Obutlast(X53,X50) = X52
| hAPP(hAPP(c_List_Oappend(X53),X52),hAPP(hAPP(c_List_Olist_OCons(X53),X51),c_List_Olist_ONil(X53))) != X50 )
& ( c_List_Olast(X53,X50) = X51
| hAPP(hAPP(c_List_Oappend(X53),X52),hAPP(hAPP(c_List_Olist_OCons(X53),X51),c_List_Olist_ONil(X53))) != X50 )
& ( X54 = c_List_Olist_ONil(X57)
| c_List_Obutlast(X57,X54) != X56
| c_List_Olast(X57,X54) != X55
| hAPP(hAPP(c_List_Oappend(X57),X56),hAPP(hAPP(c_List_Olist_OCons(X57),X55),c_List_Olist_ONil(X57))) = X54 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_837])])])])]) ).
fof(c_0_1360,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X14),X13),X16))
| hBOOL(hAPP(hAPP(c_member(X14),X13),X15))
| X16 != X15 )
& ( ~ hBOOL(hAPP(hAPP(c_member(X14),X13),X15))
| hBOOL(hAPP(hAPP(c_member(X14),X13),X16))
| X16 != X15 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_838])])]) ).
fof(c_0_1361,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X14),X16),X13))
| hBOOL(hAPP(hAPP(c_member(X14),X15),X13))
| X16 != X15 )
& ( ~ hBOOL(hAPP(hAPP(c_member(X14),X15),X13))
| hBOOL(hAPP(hAPP(c_member(X14),X16),X13))
| X16 != X15 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_839])])]) ).
fof(c_0_1362,plain,
! [X23,X24,X25,X26] :
( X26 != X25
| ~ hBOOL(hAPP(hAPP(c_member(X24),X25),X23))
| hBOOL(hAPP(hAPP(c_member(X24),X26),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_840])]) ).
fof(c_0_1363,plain,
! [X9,X10,X11,X12] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X10),X9),X12))
| hBOOL(hAPP(hAPP(c_member(X10),X9),X12))
| X12 != X11 )
& ( ~ hBOOL(hAPP(hAPP(c_member(X10),X9),X11))
| hBOOL(hAPP(hAPP(c_member(X10),X9),X12))
| X12 != X11 )
& ( ~ hBOOL(hAPP(hAPP(c_member(X10),X9),X12))
| hBOOL(hAPP(hAPP(c_member(X10),X9),X11))
| X12 != X11 )
& ( ~ hBOOL(hAPP(hAPP(c_member(X10),X9),X11))
| hBOOL(hAPP(hAPP(c_member(X10),X9),X11))
| X12 != X11 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_841])])]) ).
fof(c_0_1364,plain,
! [X54,X55,X56,X57,X58,X59] :
( hAPP(hAPP(c_List_Olist_OCons(X59),X58),X57) != X56
| X55 != hAPP(hAPP(c_List_Oappend(X59),X57),X54)
| hAPP(hAPP(c_List_Olist_OCons(X59),X58),X55) = hAPP(hAPP(c_List_Oappend(X59),X56),X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_842])]) ).
fof(c_0_1365,plain,
! [X54,X55,X56,X57,X58,X59] :
( hAPP(hAPP(c_List_Oappend(X59),X58),X57) != X56
| X55 != hAPP(hAPP(c_List_Oappend(X59),X57),X54)
| hAPP(hAPP(c_List_Oappend(X59),X58),X55) = hAPP(hAPP(c_List_Oappend(X59),X56),X54) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_843])]) ).
fof(c_0_1366,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X9),X10) = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_844])]) ).
fof(c_0_1367,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X11,tc_HOL_Obool)),X10),X9) = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_845])]) ).
fof(c_0_1368,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X11),tc_HOL_Obool),c_List_Olists(X11,X10),c_List_Olists(X11,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_846])]) ).
fof(c_0_1369,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X11),tc_HOL_Obool),c_List_Olistsp(X11,X10),c_List_Olistsp(X11,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_847])]) ).
fof(c_0_1370,plain,
! [X18,X19] : c_List_Olistrelp(X19,X18,c_List_Olist_ONil(X19),c_List_Olist_ONil(X19)),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1371,plain,
! [X18,X19] : c_List_Olistrelp(X19,X18,c_List_Olist_ONil(X19),c_List_Olist_ONil(X19)),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1372,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( ~ hBOOL(hAPP(X52,X51))
| c_List_OdropWhile(X50,X52,hAPP(hAPP(c_List_Olist_OCons(X50),X51),X49)) = c_List_OdropWhile(X50,X52,X49) )
& ( hBOOL(hAPP(X56,X55))
| c_List_OdropWhile(X54,X56,hAPP(hAPP(c_List_Olist_OCons(X54),X55),X53)) = hAPP(hAPP(c_List_Olist_OCons(X54),X55),X53) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_850])])])]) ).
fof(c_0_1373,plain,
! [X15,X16,X17] : c_List_Omaps(X17,X16,X15,c_List_Olist_ONil(X17)) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1374,plain,
! [X94,X95] : c_Set_Oimage(X95,X95,c_COMBI(X95),X94) = X94,
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1375,plain,
! [X40,X41,X42,X43] :
( ~ class_Lattices_Osemilattice__inf(X43)
| ~ c_Orderings_Oord__class_Oless(X43,X42,X41)
| c_Orderings_Oord__class_Oless(X43,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X40),X42),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_853])]) ).
fof(c_0_1376,plain,
! [X40,X41,X42,X43] :
( ~ class_Lattices_Osemilattice__inf(X43)
| ~ c_Orderings_Oord__class_Oless(X43,X42,X41)
| c_Orderings_Oord__class_Oless(X43,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X42),X40),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_854])]) ).
fof(c_0_1377,plain,
! [X40,X41,X42,X43] :
( ~ class_Lattices_Osemilattice__inf(X43)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,X41)
| c_Orderings_Oord__class_Oless__eq(X43,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X42),X40),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_855])]) ).
fof(c_0_1378,plain,
! [X40,X41,X42,X43] :
( ~ class_Lattices_Osemilattice__inf(X43)
| ~ c_Orderings_Oord__class_Oless__eq(X43,X42,X41)
| c_Orderings_Oord__class_Oless__eq(X43,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X43),X40),X42),X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_856])]) ).
fof(c_0_1379,plain,
! [X9,X10,X11,X12,X13,X14] :
( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X11,X10)
| X11 != X10 )
& ( c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X10,X11)
| X11 != X10 )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool),X14,X13)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool),X13,X14)
| X14 = X13 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_857])])])])]) ).
fof(c_0_1380,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X9,X10)
| X10 = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_858])]) ).
fof(c_0_1381,plain,
! [X13,X14,X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X15),X14),hAPP(c_fequal,X13)))
| X14 = X13 )
& ( X17 != X16
| hBOOL(hAPP(hAPP(c_member(X18),X17),hAPP(c_fequal,X16))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_859])])])]) ).
fof(c_0_1382,plain,
! [X15,X16,X17,X18,X19] :
( ~ class_Orderings_Oord(X19)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)
| c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X15),hAPP(X16,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_860])]) ).
fof(c_0_1383,plain,
! [X15,X16,X17,X18,X19] :
( ~ class_Orderings_Oord(X19)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)
| c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X15),hAPP(X16,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_861])]) ).
fof(c_0_1384,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Oorder(X95)
| ~ c_Orderings_Oord__class_Oless(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless(X95,X92,X94)
| c_Orderings_Oord__class_Oless(X95,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_862])]) ).
fof(c_0_1385,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Opreorder(X95)
| ~ c_Orderings_Oord__class_Oless(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless(X95,X93,X92)
| c_Orderings_Oord__class_Oless(X95,X94,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_863])]) ).
fof(c_0_1386,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Oorder(X95)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless(X95,X92,X94)
| c_Orderings_Oord__class_Oless(X95,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_864])]) ).
fof(c_0_1387,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Opreorder(X95)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless(X95,X93,X92)
| c_Orderings_Oord__class_Oless(X95,X94,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_865])]) ).
fof(c_0_1388,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Oorder(X95)
| ~ c_Orderings_Oord__class_Oless(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X92,X94)
| c_Orderings_Oord__class_Oless(X95,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_866])]) ).
fof(c_0_1389,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Opreorder(X95)
| ~ c_Orderings_Oord__class_Oless(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X93,X92)
| c_Orderings_Oord__class_Oless(X95,X94,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_867])]) ).
fof(c_0_1390,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Opreorder(X95)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X93,X92)
| c_Orderings_Oord__class_Oless__eq(X95,X94,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_868])]) ).
fof(c_0_1391,plain,
! [X92,X93,X94,X95] :
( ~ class_Orderings_Oorder(X95)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X94,X93)
| ~ c_Orderings_Oord__class_Oless__eq(X95,X92,X94)
| c_Orderings_Oord__class_Oless__eq(X95,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_869])]) ).
fof(c_0_1392,plain,
! [X9,X10] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X10)),c_List_Olist_ONil(X10)),c_List_Olists(X10,X9))),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1393,plain,
! [X110,X111,X112] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X112,X111)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X111,X110)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X112,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_871])]) ).
fof(c_0_1394,plain,
! [X17,X18] : c_List_Opartition(X18,X17,c_List_Olist_ONil(X18)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X18),tc_List_Olist(X18)),c_List_Olist_ONil(X18)),c_List_Olist_ONil(X18)),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1395,plain,
! [X45,X46,X47] : c_List_Osplice(X47,hAPP(hAPP(c_List_Olist_OCons(X47),X46),X45),c_List_Olist_ONil(X47)) = hAPP(hAPP(c_List_Olist_OCons(X47),X46),X45),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1396,plain,
! [X27,X28,X29] :
( ~ class_Lattices_Osemilattice__inf(X29)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X29),X28),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X29),X28),X27)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X29),X28),X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_874])]) ).
fof(c_0_1397,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Olattice(X49)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_875])]) ).
fof(c_0_1398,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_876])]) ).
fof(c_0_1399,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Opreorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Opreorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Opreorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_877])])]) ).
fof(c_0_1400,plain,
! [X9,X10,X11,X12,X13,X14] :
( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X11,tc_HOL_Obool),X10,X9) )
& ( X10 != X9
| ~ c_Orderings_Oord__class_Oless(tc_fun(X11,tc_HOL_Obool),X10,X9) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,X12)
| X13 = X12
| c_Orderings_Oord__class_Oless(tc_fun(X14,tc_HOL_Obool),X13,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_878])])])])]) ).
fof(c_0_1401,plain,
! [X9,X10,X11,X12,X13,X14] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9)
| c_Orderings_Oord__class_Oless(tc_fun(X11,tc_HOL_Obool),X10,X9)
| X10 = X9 )
& ( ~ c_Orderings_Oord__class_Oless(tc_fun(X14,tc_HOL_Obool),X13,X12)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,X12) )
& ( X13 != X12
| c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_879])])])])]) ).
fof(c_0_1402,plain,
! [X98,X99,X100,X101] :
( ~ hBOOL(hAPP(X101,X100))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X99,tc_HOL_Obool),X101,X98)
| hBOOL(hAPP(X98,X100)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_880])]) ).
fof(c_0_1403,plain,
! [X98,X99,X100,X101] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X101,tc_HOL_Obool),X100,X99)
| ~ hBOOL(hAPP(X100,X98))
| hBOOL(hAPP(X99,X98)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_881])])])]) ).
fof(c_0_1404,plain,
! [X9,X10,X11] :
( ~ c_Orderings_Oord__class_Oless(tc_fun(X11,tc_HOL_Obool),X10,X9)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X10,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_882])]) ).
fof(c_0_1405,plain,
! [X46,X47,X48,X49,X50,X51] :
( ( X48 != c_List_Olist_ONil(X47)
| c_List_Obutlast(X47,hAPP(hAPP(c_List_Oappend(X47),X46),X48)) = c_List_Obutlast(X47,X46) )
& ( X51 = c_List_Olist_ONil(X50)
| c_List_Obutlast(X50,hAPP(hAPP(c_List_Oappend(X50),X49),X51)) = hAPP(hAPP(c_List_Oappend(X50),X49),c_List_Obutlast(X50,X51)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_883])])])]) ).
fof(c_0_1406,plain,
! [X40,X41,X42,X43,X44,X45] :
( ( X42 != c_List_Olist_ONil(X41)
| c_List_Obutlast(X41,hAPP(hAPP(c_List_Olist_OCons(X41),X40),X42)) = c_List_Olist_ONil(X41) )
& ( X45 = c_List_Olist_ONil(X44)
| c_List_Obutlast(X44,hAPP(hAPP(c_List_Olist_OCons(X44),X43),X45)) = hAPP(hAPP(c_List_Olist_OCons(X44),X43),c_List_Obutlast(X44,X45)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_884])])])]) ).
fof(c_0_1407,plain,
! [X13,X14,X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X15),X14),X13))
| hBOOL(hAPP(X13,X14)) )
& ( ~ hBOOL(hAPP(X16,X17))
| hBOOL(hAPP(hAPP(c_member(X18),X17),X16)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_885])])])]) ).
fof(c_0_1408,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless(X15,X14,X13)
| X14 = X13
| ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) )
& ( X14 != X13
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_886])])]) ).
fof(c_0_1409,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| X14 != X13
| ~ class_Orderings_Oorder(X15) )
& ( c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| X14 != X13
| ~ class_Orderings_Oorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| X14 = X13
| ~ class_Orderings_Oorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_887])])]) ).
fof(c_0_1410,plain,
! [X13,X14,X15] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| X13 = X14
| ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) )
& ( X13 != X14
| c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_888])])]) ).
fof(c_0_1411,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X47,X48)
| X48 = X47 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_889])]) ).
fof(c_0_1412,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X47,X48)
| X47 = X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_890])]) ).
fof(c_0_1413,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Opreorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_891])]) ).
fof(c_0_1414,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| ~ c_Orderings_Oord__class_Oless(X29,X28,X27)
| ~ c_Orderings_Oord__class_Oless(X29,X27,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_892])]) ).
fof(c_0_1415,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Opreorder(X29)
| ~ c_Orderings_Oord__class_Oless(X29,X28,X27)
| ~ c_Orderings_Oord__class_Oless(X29,X27,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_893])]) ).
fof(c_0_1416,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Opreorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_894])]) ).
fof(c_0_1417,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Opreorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_895])]) ).
fof(c_0_1418,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless(X15,X14,X13)
| c_Orderings_Oord__class_Oless(X15,X13,X14)
| X14 = X13
| ~ class_Orderings_Olinorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless(X15,X13,X14)
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) )
& ( X14 != X13
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_896])])]) ).
fof(c_0_1419,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| ~ c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_897])]) ).
fof(c_0_1420,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| c_Orderings_Oord__class_Oless(X15,X13,X14)
| ~ class_Orderings_Olinorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless(X15,X13,X14)
| ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_898])])]) ).
fof(c_0_1421,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless(X15,X14,X13)
| c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| ~ class_Orderings_Olinorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X15,X13,X14)
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_899])])]) ).
fof(c_0_1422,plain,
! [X105,X106] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X105,X106)
| X106 = X105 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_900])]) ).
fof(c_0_1423,plain,
! [X55,X56,X57,X58,X59,X60,X61,X62] :
( ( hAPP(hAPP(c_List_Oappend(X58),X57),X56) != hAPP(hAPP(c_List_Oappend(X58),X57),X55)
| X56 = X55 )
& ( X60 != X59
| hAPP(hAPP(c_List_Oappend(X62),X61),X60) = hAPP(hAPP(c_List_Oappend(X62),X61),X59) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_901])])])]) ).
fof(c_0_1424,plain,
! [X55,X56,X57,X58,X59,X60,X61,X62] :
( ( hAPP(hAPP(c_List_Oappend(X58),X57),X56) != hAPP(hAPP(c_List_Oappend(X58),X55),X56)
| X57 = X55 )
& ( X61 != X59
| hAPP(hAPP(c_List_Oappend(X62),X61),X60) = hAPP(hAPP(c_List_Oappend(X62),X59),X60) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_902])])])]) ).
fof(c_0_1425,plain,
! [X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
( ( X41 = X39
| hAPP(hAPP(c_List_Olist_OCons(X42),X41),X40) != hAPP(hAPP(c_List_Olist_OCons(X42),X39),X38) )
& ( X40 = X38
| hAPP(hAPP(c_List_Olist_OCons(X42),X41),X40) != hAPP(hAPP(c_List_Olist_OCons(X42),X39),X38) )
& ( X46 != X44
| X45 != X43
| hAPP(hAPP(c_List_Olist_OCons(X47),X46),X45) = hAPP(hAPP(c_List_Olist_OCons(X47),X44),X43) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_903])])])])]) ).
fof(c_0_1426,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Olattice(X49)
| c_Orderings_Oord__class_Oless__eq(X49,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47),X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_904])]) ).
fof(c_0_1427,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| c_Orderings_Oord__class_Oless__eq(X49,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47),X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_905])]) ).
fof(c_0_1428,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Olattice(X49)
| c_Orderings_Oord__class_Oless__eq(X49,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_906])]) ).
fof(c_0_1429,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| c_Orderings_Oord__class_Oless__eq(X49,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_907])]) ).
fof(c_0_1430,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oorder(X96)
| ~ c_Orderings_Oord__class_Oless(X96,X95,X94)
| X95 != X93
| c_Orderings_Oord__class_Oless(X96,X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_908])]) ).
fof(c_0_1431,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oord(X96)
| ~ c_Orderings_Oord__class_Oless(X96,X95,X94)
| X94 != X93
| c_Orderings_Oord__class_Oless(X96,X95,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_909])]) ).
fof(c_0_1432,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oorder(X96)
| X95 != X94
| ~ c_Orderings_Oord__class_Oless(X96,X93,X94)
| c_Orderings_Oord__class_Oless(X96,X93,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_910])]) ).
fof(c_0_1433,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oord(X96)
| X95 != X94
| ~ c_Orderings_Oord__class_Oless(X96,X94,X93)
| c_Orderings_Oord__class_Oless(X96,X95,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_911])]) ).
fof(c_0_1434,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless(X15,X13,X14)
| X13 = X14
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) )
& ( X13 != X14
| ~ c_Orderings_Oord__class_Oless(X15,X13,X14)
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_912])])]) ).
fof(c_0_1435,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oord(X96)
| X95 != X94
| ~ c_Orderings_Oord__class_Oless__eq(X96,X94,X93)
| c_Orderings_Oord__class_Oless__eq(X96,X95,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_913])]) ).
fof(c_0_1436,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oorder(X96)
| X95 != X94
| ~ c_Orderings_Oord__class_Oless__eq(X96,X93,X94)
| c_Orderings_Oord__class_Oless__eq(X96,X93,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_914])]) ).
fof(c_0_1437,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oord(X96)
| ~ c_Orderings_Oord__class_Oless__eq(X96,X95,X94)
| X94 != X93
| c_Orderings_Oord__class_Oless__eq(X96,X95,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_915])]) ).
fof(c_0_1438,plain,
! [X93,X94,X95,X96] :
( ~ class_Orderings_Oorder(X96)
| ~ c_Orderings_Oord__class_Oless__eq(X96,X95,X94)
| X95 != X93
| c_Orderings_Oord__class_Oless__eq(X96,X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_916])]) ).
fof(c_0_1439,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| ~ c_Orderings_Oord__class_Oless__eq(X29,X28,X27)
| X27 = X28
| c_Orderings_Oord__class_Oless(X29,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_917])]) ).
fof(c_0_1440,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| ~ c_Orderings_Oord__class_Oless__eq(X29,X28,X27)
| X28 = X27
| c_Orderings_Oord__class_Oless(X29,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_918])]) ).
fof(c_0_1441,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| c_Orderings_Oord__class_Oless(X49,X48,X47)
| X48 = X47 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_919])]) ).
fof(c_0_1442,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| X28 = X27
| ~ c_Orderings_Oord__class_Oless__eq(X29,X27,X28)
| c_Orderings_Oord__class_Oless(X29,X27,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_920])]) ).
fof(c_0_1443,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| X28 = X27
| ~ c_Orderings_Oord__class_Oless__eq(X29,X28,X27)
| c_Orderings_Oord__class_Oless(X29,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_921])]) ).
fof(c_0_1444,plain,
! [X13,X14,X15] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| X14 = X13
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) )
& ( X14 != X13
| c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_922])])]) ).
fof(c_0_1445,plain,
! [X13,X14,X15] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| X14 = X13
| ~ class_Orderings_Oorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) )
& ( X14 != X13
| c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_923])])]) ).
fof(c_0_1446,plain,
! [X13,X14,X15] :
( ( c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) )
& ( X14 != X13
| ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| X14 = X13
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| ~ class_Orderings_Oorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_924])])]) ).
fof(c_0_1447,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Opreorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_925])]) ).
fof(c_0_1448,plain,
! [X13,X14,X15] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X15),X14),X13) = X14
| ~ class_Lattices_Osemilattice__inf(X15) )
& ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X15),X14),X13) != X14
| c_Orderings_Oord__class_Oless__eq(X15,X14,X13)
| ~ class_Lattices_Osemilattice__inf(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_926])])]) ).
fof(c_0_1449,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47) = X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_927])]) ).
fof(c_0_1450,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| ~ c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X47),X48) = X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_928])]) ).
fof(c_0_1451,plain,
! [X9,X10] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X10,tc_HOL_Obool)),X9),X9) = X9,
inference(variable_rename,[status(thm)],[c_0_929]) ).
fof(c_0_1452,plain,
! [X49,X50,X51] :
( ~ c_List_Odistinct(X51,X50)
| c_List_Odistinct(X51,c_List_OdropWhile(X51,X49,X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_930])]) ).
fof(c_0_1453,plain,
! [X49,X50,X51] :
( ~ c_List_Odistinct(X51,X50)
| c_List_Odistinct(X51,c_List_OtakeWhile(X51,X49,X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_931])]) ).
fof(c_0_1454,plain,
! [X40,X41,X42] :
( ~ c_List_Odistinct(X42,X41)
| c_List_Odistinct(X42,c_List_Oinsert(X42,X40,X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_932])]) ).
fof(c_0_1455,plain,
! [X103,X104,X105,X106] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
| X104 = X103 )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) )
& ( X106 != X105
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_933])])])])]) ).
fof(c_0_1456,plain,
! [X105,X106] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105)
| X106 = X105
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_934])]) ).
fof(c_0_1457,plain,
! [X103,X104,X105,X106] :
( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X103)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103) )
& ( X104 != X103
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105)
| X106 = X105
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_935])])])])]) ).
fof(c_0_1458,plain,
! [X46,X47,X48] :
( X48 != c_List_Olist_ONil(X47)
| c_List_Olast(X47,hAPP(hAPP(c_List_Oappend(X47),X46),X48)) = c_List_Olast(X47,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_936])]) ).
fof(c_0_1459,plain,
! [X46,X47,X48,X49,X50,X51] :
( ( X48 != c_List_Olist_ONil(X47)
| c_List_Olast(X47,hAPP(hAPP(c_List_Oappend(X47),X46),X48)) = c_List_Olast(X47,X46) )
& ( X51 = c_List_Olist_ONil(X50)
| c_List_Olast(X50,hAPP(hAPP(c_List_Oappend(X50),X49),X51)) = c_List_Olast(X50,X51) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_937])])])]) ).
fof(c_0_1460,plain,
! [X105,X106] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_938])]) ).
fof(c_0_1461,plain,
! [X105,X106] :
( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) )
& ( X106 != X105
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_939])])]) ).
fof(c_0_1462,plain,
! [X47,X48] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X48,X47)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X48,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_940])]) ).
fof(c_0_1463,plain,
! [X46,X47,X48] :
( X48 = c_List_Olist_ONil(X47)
| c_List_Olast(X47,hAPP(hAPP(c_List_Oappend(X47),X46),X48)) = c_List_Olast(X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_941])]) ).
fof(c_0_1464,plain,
! [X40,X41,X42] :
( X42 = c_List_Olist_ONil(X41)
| c_List_Olast(X41,hAPP(hAPP(c_List_Olist_OCons(X41),X40),X42)) = c_List_Olast(X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_942])]) ).
fof(c_0_1465,plain,
! [X40,X41,X42,X43,X44,X45] :
( ( X42 != c_List_Olist_ONil(X41)
| c_List_Olast(X41,hAPP(hAPP(c_List_Olist_OCons(X41),X40),X42)) = X40 )
& ( X45 = c_List_Olist_ONil(X44)
| c_List_Olast(X44,hAPP(hAPP(c_List_Olist_OCons(X44),X43),X45)) = c_List_Olast(X44,X45) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_943])])])]) ).
fof(c_0_1466,plain,
! [X4,X5] :
( hAPP(X5,esk1_2(X4,X5)) != hAPP(X4,esk1_2(X4,X5))
| X5 = X4 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_944])])]) ).
fof(c_0_1467,plain,
! [X40,X41,X42] :
( X42 != c_List_Olist_ONil(X41)
| c_List_Olast(X41,hAPP(hAPP(c_List_Olist_OCons(X41),X40),X42)) = X40 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_945])]) ).
fof(c_0_1468,plain,
! [X98,X99] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X99),X98))
| hBOOL(X98) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_946])])]) ).
fof(c_0_1469,plain,
! [X98,X99] :
( ~ hBOOL(hAPP(hAPP(c_fconj,X99),X98))
| hBOOL(X99) ),
inference(variable_rename,[status(thm)],[c_0_947]) ).
fof(c_0_1470,plain,
! [X13,X14] :
( ~ hBOOL(hAPP(hAPP(c_fequal,X14),X13))
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_948]) ).
fof(c_0_1471,plain,
! [X119,X120,X121,X122] : hAPP(c_COMBK(X122,X121,X120),X119) = X120,
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1472,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless(X49,X48,X47)
| X48 = X47
| c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_950])]) ).
fof(c_0_1473,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| X48 = X47
| c_Orderings_Oord__class_Oless(X49,X48,X47)
| c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_951])]) ).
fof(c_0_1474,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless(X49,X48,X47)
| X48 = X47
| c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_952])]) ).
fof(c_0_1475,plain,
! [X13,X14,X15] :
( ( X14 = X13
| c_Orderings_Oord__class_Oless(X15,X14,X13)
| c_Orderings_Oord__class_Oless(X15,X13,X14)
| ~ class_Orderings_Olinorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless(X15,X14,X13)
| X14 != X13
| ~ class_Orderings_Olinorder(X15) )
& ( ~ c_Orderings_Oord__class_Oless(X15,X13,X14)
| X14 != X13
| ~ class_Orderings_Olinorder(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_953])])]) ).
fof(c_0_1476,plain,
! [X40,X41] : c_List_Oinsert(X41,X40,c_List_Olist_ONil(X41)) = hAPP(hAPP(c_List_Olist_OCons(X41),X40),c_List_Olist_ONil(X41)),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1477,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_955])]) ).
fof(c_0_1478,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless(X49,X48,X47)
| c_Orderings_Oord__class_Oless__eq(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_956])]) ).
fof(c_0_1479,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| c_Orderings_Oord__class_Oless(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_957])]) ).
fof(c_0_1480,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| c_Orderings_Oord__class_Oless__eq(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_958])]) ).
fof(c_0_1481,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Olinorder(X49)
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47)
| c_Orderings_Oord__class_Oless__eq(X49,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_959])]) ).
fof(c_0_1482,plain,
! [X27,X28,X29] :
( ~ class_Lattices_Osemilattice__inf(X29)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X29),X28),X27) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X29),X27),X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_960])]) ).
fof(c_0_1483,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Olattice(X49)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X47),X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_961])]) ).
fof(c_0_1484,plain,
! [X47,X48,X49] :
( ~ class_Lattices_Osemilattice__inf(X49)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X48),X47) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X49),X47),X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_962])]) ).
fof(c_0_1485,plain,
! [X47,X48] :
( X48 = X47
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X48,X47)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_963])]) ).
fof(c_0_1486,plain,
! [X103,X104,X105,X106] :
( ( X104 = X103
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X103)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X103,X104) )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
| X106 != X105 )
& ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X105,X106)
| X106 != X105 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_964])])])])]) ).
fof(c_0_1487,plain,
! [X34,X35,X36] : c_Product__Type_Ointernal__split(X36,X35,X34) = c_Product__Type_Oprod_Oprod__case(X36,X35,X34),
inference(variable_rename,[status(thm)],[c_0_965]) ).
fof(c_0_1488,plain,
! [X105,X106] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X105,X106) ),
inference(variable_rename,[status(thm)],[c_0_966]) ).
fof(c_0_1489,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| X47 != X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_967])]) ).
fof(c_0_1490,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| X48 != X47 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_968])]) ).
fof(c_0_1491,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Oorder(X49)
| ~ c_Orderings_Oord__class_Oless(X49,X48,X47)
| X48 != X47 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_969])]) ).
fof(c_0_1492,plain,
! [X9,X10] : hBOOL(hAPP(c_List_Olistsp(X10,X9),c_List_Olist_ONil(X10))),
inference(variable_rename,[status(thm)],[c_0_970]) ).
fof(c_0_1493,plain,
! [X9,X10] : hBOOL(hAPP(c_List_Olistsp(X10,X9),c_List_Olist_ONil(X10))),
inference(variable_rename,[status(thm)],[c_0_971]) ).
fof(c_0_1494,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( X51 = c_List_Olist_ONil(X52)
| hAPP(hAPP(c_List_Oappend(X52),X51),X50) != c_List_Olist_ONil(X52) )
& ( X50 = c_List_Olist_ONil(X52)
| hAPP(hAPP(c_List_Oappend(X52),X51),X50) != c_List_Olist_ONil(X52) )
& ( X54 != c_List_Olist_ONil(X55)
| X53 != c_List_Olist_ONil(X55)
| hAPP(hAPP(c_List_Oappend(X55),X54),X53) = c_List_Olist_ONil(X55) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_972])])])])]) ).
fof(c_0_1495,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( X51 = c_List_Olist_ONil(X52)
| c_List_Olist_ONil(X52) != hAPP(hAPP(c_List_Oappend(X52),X51),X50) )
& ( X50 = c_List_Olist_ONil(X52)
| c_List_Olist_ONil(X52) != hAPP(hAPP(c_List_Oappend(X52),X51),X50) )
& ( X54 != c_List_Olist_ONil(X55)
| X53 != c_List_Olist_ONil(X55)
| c_List_Olist_ONil(X55) = hAPP(hAPP(c_List_Oappend(X55),X54),X53) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_973])])])])]) ).
fof(c_0_1496,plain,
! [X40,X41] :
( ~ class_Orderings_Opreorder(X41)
| ~ c_Orderings_Oord__class_Oless(X41,X40,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_974])]) ).
fof(c_0_1497,plain,
! [X98,X99] :
( ~ hBOOL(X99)
| ~ hBOOL(X98)
| hBOOL(hAPP(hAPP(c_fconj,X99),X98)) ),
inference(variable_rename,[status(thm)],[c_0_975]) ).
fof(c_0_1498,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( hAPP(hAPP(c_List_Oappend(X52),X51),X50) != X50
| X51 = c_List_Olist_ONil(X52) )
& ( X54 != c_List_Olist_ONil(X55)
| hAPP(hAPP(c_List_Oappend(X55),X54),X53) = X53 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_976])])])]) ).
fof(c_0_1499,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( hAPP(hAPP(c_List_Oappend(X52),X51),X50) != X51
| X50 = c_List_Olist_ONil(X52) )
& ( X53 != c_List_Olist_ONil(X55)
| hAPP(hAPP(c_List_Oappend(X55),X54),X53) = X54 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_977])])])]) ).
fof(c_0_1500,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( X52 != hAPP(hAPP(c_List_Oappend(X51),X50),X52)
| X50 = c_List_Olist_ONil(X51) )
& ( X53 != c_List_Olist_ONil(X54)
| X55 = hAPP(hAPP(c_List_Oappend(X54),X53),X55) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_978])])])]) ).
fof(c_0_1501,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( X52 != hAPP(hAPP(c_List_Oappend(X51),X52),X50)
| X50 = c_List_Olist_ONil(X51) )
& ( X53 != c_List_Olist_ONil(X54)
| X55 = hAPP(hAPP(c_List_Oappend(X54),X55),X53) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_979])])])]) ).
fof(c_0_1502,plain,
! [X35,X36,X37] : hAPP(hAPP(c_List_Olist_OCons(X37),X36),X35) != c_List_Olist_ONil(X37),
inference(variable_rename,[status(thm)],[c_0_980]) ).
fof(c_0_1503,plain,
! [X35,X36,X37] : c_List_Olist_ONil(X37) != hAPP(hAPP(c_List_Olist_OCons(X37),X36),X35),
inference(variable_rename,[status(thm)],[c_0_981]) ).
fof(c_0_1504,plain,
! [X107,X108] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X108,X107)
| X108 != X107 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_982])]) ).
fof(c_0_1505,plain,
! [X105,X106] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X106,X105)
| X105 != X106 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_983])]) ).
fof(c_0_1506,plain,
! [X18,X19] : c_List_Olistrel(X19,c_Transitive__Closure_Ortrancl(X19,X18)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(X19),c_List_Olistrel1(X19,X18)),
inference(variable_rename,[status(thm)],[c_0_984]) ).
fof(c_0_1507,plain,
! [X104] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X104),
inference(variable_rename,[status(thm)],[c_0_985]) ).
fof(c_0_1508,plain,
! [X104] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X104,X104),
inference(variable_rename,[status(thm)],[c_0_986]) ).
fof(c_0_1509,plain,
! [X40,X41,X42] : X42 != hAPP(hAPP(c_List_Olist_OCons(X41),X40),X42),
inference(variable_rename,[status(thm)],[c_0_987]) ).
fof(c_0_1510,plain,
! [X40,X41,X42] : hAPP(hAPP(c_List_Olist_OCons(X42),X41),X40) != X40,
inference(variable_rename,[status(thm)],[c_0_988]) ).
fof(c_0_1511,plain,
! [X9,X10] : c_Relation_ORange(X10,X10,c_Relation_OId__on(X10,X9)) = X9,
inference(variable_rename,[status(thm)],[c_0_989]) ).
fof(c_0_1512,plain,
! [X9,X10] : c_Relation_ODomain(X10,X10,c_Relation_OId__on(X10,X9)) = X9,
inference(variable_rename,[status(thm)],[c_0_990]) ).
fof(c_0_1513,plain,
! [X9,X10,X11] :
( X11 != X10
| c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_991])]) ).
fof(c_0_1514,plain,
! [X9,X10,X11] :
( X11 != X10
| c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_992])]) ).
fof(c_0_1515,plain,
! [X9,X10,X11] :
( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X11,X10)
| X11 != X10 )
& ( c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool),X10,X11)
| X11 != X10 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_993])])]) ).
fof(c_0_1516,plain,
! [X9,X10] : c_Relation_Osingle__valued(X10,X10,c_Relation_OId__on(X10,X9)),
inference(variable_rename,[status(thm)],[c_0_994]) ).
fof(c_0_1517,plain,
! [X13,X14] :
( X14 != X13
| hBOOL(hAPP(hAPP(c_fequal,X14),X13)) ),
inference(variable_rename,[status(thm)],[c_0_995]) ).
fof(c_0_1518,plain,
! [X49,X50,X51,X52] :
( ( ~ c_List_Odistinct(X50,c_List_Orotate1(X50,X49))
| c_List_Odistinct(X50,X49) )
& ( ~ c_List_Odistinct(X52,X51)
| c_List_Odistinct(X52,c_List_Orotate1(X52,X51)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_996])])])]) ).
fof(c_0_1519,plain,
! [X9,X10] : c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X9,X9),
inference(variable_rename,[status(thm)],[c_0_997]) ).
fof(c_0_1520,plain,
! [X18,X19] :
( ~ c_Relation_Otrans(X19,X18)
| c_Relation_Otrans(tc_List_Olist(X19),c_List_Olexord(X19,X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_998])]) ).
fof(c_0_1521,plain,
! [X18,X19] :
( ~ c_Relation_Otrans(X19,X18)
| c_Relation_Otrans(tc_List_Olist(X19),c_List_Olistrel(X19,X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_999])]) ).
fof(c_0_1522,plain,
! [X46,X47,X48] :
( X48 != X47
| X48 = hAPP(hAPP(c_List_Oappend(X46),c_List_Olist_ONil(X46)),X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1000])]) ).
fof(c_0_1523,plain,
! [X39,X40] :
( X40 = c_List_Olist_ONil(X39)
| ~ c_List_Odistinct(X39,X40)
| c_List_Odistinct(X39,c_List_Obutlast(X39,X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1001])]) ).
fof(c_0_1524,plain,
! [X39,X40] : c_Nat_Osize__class_Osize(tc_List_Olist(X40),c_List_Orotate1(X40,X39)) = c_Nat_Osize__class_Osize(tc_List_Olist(X40),X39),
inference(variable_rename,[status(thm)],[c_0_1002]) ).
fof(c_0_1525,plain,
! [X47,X48,X49] :
( ~ class_Orderings_Opreorder(X49)
| X48 != X47
| c_Orderings_Oord__class_Oless__eq(X49,X48,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1003])]) ).
fof(c_0_1526,plain,
! [X46,X47] : hAPP(hAPP(c_List_Oappend(X47),c_List_Olist_ONil(X47)),X46) = X46,
inference(variable_rename,[status(thm)],[c_0_1004]) ).
fof(c_0_1527,plain,
! [X17,X18] : c_List_OdropWhile(X18,X17,c_List_Olist_ONil(X18)) = c_List_Olist_ONil(X18),
inference(variable_rename,[status(thm)],[c_0_1005]) ).
fof(c_0_1528,plain,
! [X17,X18] : c_List_OtakeWhile(X18,X17,c_List_Olist_ONil(X18)) = c_List_Olist_ONil(X18),
inference(variable_rename,[status(thm)],[c_0_1006]) ).
fof(c_0_1529,plain,
! [X40,X41] :
( ~ class_Orderings_Opreorder(X41)
| c_Orderings_Oord__class_Oless__eq(X41,X40,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1007])]) ).
fof(c_0_1530,plain,
! [X39,X40] : c_List_Osplice(X40,X39,c_List_Olist_ONil(X40)) = X39,
inference(variable_rename,[status(thm)],[c_0_1008]) ).
fof(c_0_1531,plain,
! [X46,X47] : c_List_Osplice(X47,c_List_Olist_ONil(X47),X46) = X46,
inference(variable_rename,[status(thm)],[c_0_1009]) ).
fof(c_0_1532,plain,
! [X27,X28] :
( ~ class_Lattices_Osemilattice__inf(X28)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X28),X27),X27) = X27 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1010])]) ).
fof(c_0_1533,plain,
! [X40,X41] :
( ~ class_Lattices_Osemilattice__inf(X41)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X41),X40),X40) = X40 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1011])]) ).
fof(c_0_1534,plain,
! [X39,X40] : hAPP(hAPP(c_List_Oappend(X40),X39),c_List_Olist_ONil(X40)) = X39,
inference(variable_rename,[status(thm)],[c_0_1012]) ).
fof(c_0_1535,plain,
! [X105,X106] :
( X106 != X105
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X106,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1013])]) ).
fof(c_0_1536,plain,
! [X18,X19] : c_Transitive__Closure_Ortrancl(X19,c_Transitive__Closure_Ortrancl(X19,X18)) = c_Transitive__Closure_Ortrancl(X19,X18),
inference(variable_rename,[status(thm)],[c_0_1014]) ).
fof(c_0_1537,plain,
! [X104] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X104,X104),
inference(variable_rename,[status(thm)],[c_0_1015]) ).
fof(c_0_1538,plain,
! [X17] :
( ~ hBOOL(hAPP(c_fNot,X17))
| ~ hBOOL(X17) ),
inference(variable_rename,[status(thm)],[c_0_1016]) ).
fof(c_0_1539,plain,
! [X46,X47,X48] :
( c_Nat_Osize__class_Osize(tc_List_Olist(X48),X47) = c_Nat_Osize__class_Osize(tc_List_Olist(X48),X46)
| X47 != X46 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1017])])])]) ).
fof(c_0_1540,plain,
! [X9,X10] : c_Relation_Otrans(X10,c_Relation_OId__on(X10,X9)),
inference(variable_rename,[status(thm)],[c_0_1018]) ).
fof(c_0_1541,plain,
! [X18,X19] : c_Relation_Otrans(X19,c_Transitive__Closure_Ortrancl(X19,X18)),
inference(variable_rename,[status(thm)],[c_0_1019]) ).
fof(c_0_1542,plain,
! [X117,X118] :
( ~ class_Orderings_Oord(X118)
| class_Orderings_Oord(tc_fun(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1020])]) ).
fof(c_0_1543,plain,
! [X117,X118] :
( ~ class_Orderings_Oorder(X118)
| class_Orderings_Oorder(tc_fun(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1021])]) ).
fof(c_0_1544,plain,
! [X117,X118] :
( ~ class_Lattices_Olattice(X118)
| class_Lattices_Olattice(tc_fun(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1022])]) ).
fof(c_0_1545,plain,
! [X117,X118] :
( ~ class_Orderings_Opreorder(X118)
| class_Orderings_Opreorder(tc_fun(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1023])]) ).
fof(c_0_1546,plain,
! [X117,X118] :
( ~ class_Lattices_Olattice(X118)
| class_Lattices_Osemilattice__inf(tc_fun(X117,X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1024])]) ).
fof(c_0_1547,plain,
! [X49,X50,X51,X52] :
( ( c_List_Orotate1(X50,X49) != c_List_Olist_ONil(X50)
| X49 = c_List_Olist_ONil(X50) )
& ( X51 != c_List_Olist_ONil(X52)
| c_List_Orotate1(X52,X51) = c_List_Olist_ONil(X52) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1025])])])]) ).
fof(c_0_1548,plain,
! [X17] :
( hBOOL(X17)
| hBOOL(hAPP(c_fNot,X17)) ),
inference(variable_rename,[status(thm)],[c_0_1026]) ).
fof(c_0_1549,plain,
! [X7] : c_List_Obutlast(X7,c_List_Olist_ONil(X7)) = c_List_Olist_ONil(X7),
inference(variable_rename,[status(thm)],[c_0_1027]) ).
fof(c_0_1550,plain,
! [X118,X119] : hAPP(c_COMBI(X119),X118) = X118,
inference(variable_rename,[status(thm)],[c_0_1028]) ).
fof(c_0_1551,plain,
! [X7] : c_List_Odistinct(X7,c_List_Olist_ONil(X7)),
inference(variable_rename,[status(thm)],[c_0_1029]) ).
fof(c_0_1552,axiom,
class_Orderings_Oord(tc_HOL_Obool),
c_0_1030 ).
fof(c_0_1553,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
c_0_1031 ).
fof(c_0_1554,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
c_0_1032 ).
fof(c_0_1555,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
c_0_1033 ).
fof(c_0_1556,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
c_0_1034 ).
fof(c_0_1557,axiom,
class_Orderings_Oord(tc_Nat_Onat),
c_0_1035 ).
fof(c_0_1558,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
c_0_1036 ).
fof(c_0_1559,axiom,
class_Lattices_Olattice(tc_Nat_Onat),
c_0_1037 ).
fof(c_0_1560,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
c_0_1038 ).
fof(c_0_1561,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
c_0_1039 ).
fof(c_0_1562,axiom,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
c_0_1040 ).
fof(c_0_1563,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
c_0_1041 ).
fof(c_0_1564,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
c_0_1042 ).
fof(c_0_1565,axiom,
v_a____ != v_b____,
c_0_1043 ).
cnf(c_0_1566,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
inference(split_conjunct,[status(thm)],[c_0_1044]) ).
cnf(c_0_1567,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(split_conjunct,[status(thm)],[c_0_1044]) ).
cnf(c_0_1568,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[c_0_1045]) ).
cnf(c_0_1569,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1570,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1571,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1572,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1573,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(split_conjunct,[status(thm)],[c_0_1048]) ).
cnf(c_0_1574,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(split_conjunct,[status(thm)],[c_0_1048]) ).
cnf(c_0_1575,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[c_0_1049]) ).
cnf(c_0_1576,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk74_7(X7,X6,X5,X4,X3,X2,X1)),esk75_7(X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(split_conjunct,[status(thm)],[c_0_1050]) ).
cnf(c_0_1577,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1051]) ).
cnf(c_0_1578,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk74_7(X7,X6,X5,X4,X3,X2,X1)),esk75_7(X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(split_conjunct,[status(thm)],[c_0_1050]) ).
cnf(c_0_1579,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1580,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk69_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1581,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1051]) ).
cnf(c_0_1582,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(X8,esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1583,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(X8,esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1584,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1052]) ).
cnf(c_0_1585,plain,
c_List_Opartition(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_fun(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_If(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(X2,X3)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(c_List_Olist_OCons(X1),X3))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBB(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(c_List_Olist_OCons(X1),X3)))),c_List_Opartition(X1,X2,X4)),
inference(split_conjunct,[status(thm)],[c_0_1053]) ).
cnf(c_0_1586,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(split_conjunct,[status(thm)],[c_0_1054]) ).
cnf(c_0_1587,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1052]) ).
cnf(c_0_1588,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1055]) ).
cnf(c_0_1589,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ),
inference(split_conjunct,[status(thm)],[c_0_1054]) ).
cnf(c_0_1590,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[c_0_1056]) ).
cnf(c_0_1591,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,esk88_6(X5,X2,X1,X4,X3,X6)),esk89_6(X5,X2,X1,X4,X3,X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_1057]) ).
cnf(c_0_1592,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1055]) ).
cnf(c_0_1593,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1058]) ).
cnf(c_0_1594,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1058]) ).
cnf(c_0_1595,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1059]) ).
cnf(c_0_1596,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1060]) ).
cnf(c_0_1597,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ c_Predicate_ODomainP(X1,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1061]) ).
cnf(c_0_1598,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ c_Predicate_ORangeP(X3,X1,hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_COMBC(X1,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X3,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X1),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X3,X1)))),c_Product__Type_OPair(X3,X1)))),X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1062]) ).
cnf(c_0_1599,plain,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1063]) ).
cnf(c_0_1600,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,esk86_6(X6,X5,X4,X3,X2,X1)),esk87_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1064]) ).
cnf(c_0_1601,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1058]) ).
cnf(c_0_1602,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1058]) ).
cnf(c_0_1603,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1059]) ).
cnf(c_0_1604,plain,
( c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1060]) ).
cnf(c_0_1605,plain,
( c_Predicate_ODomainP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Relation_ODomain(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1061]) ).
cnf(c_0_1606,plain,
( c_Predicate_ORangeP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1062]) ).
cnf(c_0_1607,plain,
( hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3) = hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1063]) ).
cnf(c_0_1608,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1609,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(split_conjunct,[status(thm)],[c_0_1066]) ).
cnf(c_0_1610,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk43_5(X4,X3,X2,X5,X1)),esk43_5(X4,X3,X2,X5,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X2)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1067]) ).
cnf(c_0_1611,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(split_conjunct,[status(thm)],[c_0_1066]) ).
cnf(c_0_1612,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6)),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X3,X2)),X5),c_FuncSet_OPi(X3,X2,X8,c_COMBK(tc_fun(X2,tc_HOL_Obool),X3,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X6),c_FuncSet_OPi(X1,X3,X4,c_COMBK(tc_fun(X3,tc_HOL_Obool),X1,X8)))) ),
inference(split_conjunct,[status(thm)],[c_0_1068]) ).
cnf(c_0_1613,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1614,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1615,plain,
( X2 = hAPP(hAPP(c_List_Olist_OCons(X1),esk76_5(X5,X4,X3,X2,X1)),X4)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1616,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk85_5(X5,X3,X2,X4,X1))),hAPP(X5,esk85_5(X5,X3,X2,X4,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1070]) ).
cnf(c_0_1617,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk23_5(X5,X3,X2,X4,X1))),hAPP(X5,esk23_5(X5,X3,X2,X4,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1071]) ).
cnf(c_0_1618,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk44_5(X5,X4,X3,X2,X1))),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1619,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| X2 = hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk77_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1620,plain,
( c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9)))) ),
inference(split_conjunct,[status(thm)],[c_0_1073]) ).
cnf(c_0_1621,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,esk96_4(X4,X3,X2,X1))),c_List_Onth(X1,X3,esk96_4(X4,X3,X2,X1)))),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1622,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk38_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1075]) ).
cnf(c_0_1623,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk37_5(X5,X4,X3,X2,X1)),X3)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1075]) ).
cnf(c_0_1624,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1625,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1626,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1627,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1628,plain,
( X6 = hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk86_6(X6,X5,X4,X3,X2,X1)),esk87_6(X6,X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1064]) ).
cnf(c_0_1629,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| X6 = hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk88_6(X5,X2,X1,X4,X3,X6)),esk89_6(X5,X2,X1,X4,X3,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1057]) ).
cnf(c_0_1630,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk24_5(X5,X3,X2,X4,X1))),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1077]) ).
cnf(c_0_1631,plain,
( X4 = hAPP(hAPP(c_List_Olist_OCons(X1),esk44_5(X5,X4,X3,X2,X1)),X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1632,plain,
c_Relation_OId__on(X1,X2) = hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),c_fequal))),X2)),
inference(split_conjunct,[status(thm)],[c_0_1078]) ).
cnf(c_0_1633,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk44_5(X5,X4,X3,X2,X1))),X5))
| X4 = hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk45_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1634,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1635,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1636,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk36_5(X5,X4,X3,X2,X1))),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1079]) ).
cnf(c_0_1637,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk35_5(X5,X4,X3,X2,X1))),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1079]) ).
cnf(c_0_1638,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk28_4(X2,X3,X4,X1)),esk29_4(X2,X3,X4,X1))),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1080]) ).
cnf(c_0_1639,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk29_4(X2,X3,X4,X1)),esk28_4(X2,X3,X4,X1))),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1080]) ).
cnf(c_0_1640,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1081]) ).
cnf(c_0_1641,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1081]) ).
cnf(c_0_1642,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1082]) ).
cnf(c_0_1643,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1644,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1645,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),hAPP(X4,esk95_5(X5,X4,X2,X3,X1)),hAPP(X5,esk95_5(X5,X4,X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1084]) ).
cnf(c_0_1646,plain,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1647,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1648,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X2,X1)),esk12_2(X2,X1))),hAPP(X1,esk10_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1649,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk39_4(X4,X3,X2,X1)),esk40_4(X4,X3,X2,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1087]) ).
cnf(c_0_1650,plain,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1651,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1652,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X4)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1088]) ).
cnf(c_0_1653,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X2,X1)),esk12_2(X2,X1))),hAPP(esk10_2(X2,X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1654,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk10_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1655,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| esk11_2(X2,X1) != esk12_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1656,plain,
( c_Set_Oimage(X1,X2,c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6),X4) = X7
| c_Set_Oimage(X3,X2,X5,X8) != X7
| c_Set_Oimage(X1,X3,X6,X4) != X8 ),
inference(split_conjunct,[status(thm)],[c_0_1089]) ).
cnf(c_0_1657,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1081]) ).
cnf(c_0_1658,plain,
( X4 = hAPP(hAPP(c_List_Olist_OCons(X1),esk44_5(X5,X4,X3,X2,X1)),X3)
| X4 = hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk45_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1659,plain,
( X4 = hAPP(hAPP(c_List_Olist_OCons(X1),esk35_5(X5,X4,X3,X2,X1)),esk36_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1079]) ).
cnf(c_0_1660,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1661,plain,
( hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X5,hAPP(X6,X7))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X7),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1090]) ).
cnf(c_0_1662,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(split_conjunct,[status(thm)],[c_0_1091]) ).
cnf(c_0_1663,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| hBOOL(hAPP(hAPP(c_member(X1),esk24_5(X5,X3,X2,X4,X1)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1077]) ).
cnf(c_0_1664,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1665,plain,
( X2 = hAPP(hAPP(c_List_Olist_OCons(X1),esk76_5(X5,X4,X3,X2,X1)),X4)
| X2 = hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk77_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1666,plain,
( X2 = hAPP(hAPP(c_List_Olist_OCons(X1),esk37_5(X5,X4,X3,X2,X1)),esk38_5(X5,X4,X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1075]) ).
cnf(c_0_1667,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),esk85_5(X5,X3,X2,X4,X1)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1070]) ).
cnf(c_0_1668,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),esk23_5(X5,X3,X2,X4,X1)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1071]) ).
cnf(c_0_1669,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| hBOOL(hAPP(hAPP(c_member(X1),esk95_5(X5,X4,X2,X3,X1)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1084]) ).
cnf(c_0_1670,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)))),c_List_Olexord(X1,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_1092]) ).
cnf(c_0_1671,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))
| ~ hBOOL(hAPP(X6,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1093]) ).
cnf(c_0_1672,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1673,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1674,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_prod(X1,X2)),X7),X8)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X3),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X1,X2)),tc_fun(X6,X3),X5),hAPP(c_COMBB(tc_prod(X1,X2),X3,X6),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4))),X7)),X8),
inference(split_conjunct,[status(thm)],[c_0_1094]) ).
cnf(c_0_1675,plain,
c_Product__Type_OSigma(X1,X2,X3,hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X4)),c_Product__Type_OSigma(X1,X2,X3,X5)),
inference(split_conjunct,[status(thm)],[c_0_1095]) ).
cnf(c_0_1676,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1088]) ).
cnf(c_0_1677,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| X3 = hAPP(hAPP(c_List_Oappend(X1),esk32_5(X5,X4,X3,X2,X1)),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1678,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk56_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1097]) ).
cnf(c_0_1679,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk54_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1098]) ).
cnf(c_0_1680,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1681,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1682,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1683,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(split_conjunct,[status(thm)],[c_0_1091]) ).
cnf(c_0_1684,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1102]) ).
cnf(c_0_1685,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1103]) ).
cnf(c_0_1686,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
inference(split_conjunct,[status(thm)],[c_0_1104]) ).
cnf(c_0_1687,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1688,plain,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1689,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,esk13_4(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1690,plain,
c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X2))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1106]) ).
cnf(c_0_1691,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1692,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1693,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1694,plain,
( X2 = hAPP(hAPP(c_List_Oappend(X1),X4),esk31_5(X5,X4,X3,X2,X1))
| X3 = hAPP(hAPP(c_List_Oappend(X1),esk32_5(X5,X4,X3,X2,X1)),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1695,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1696,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_1107]) ).
cnf(c_0_1697,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_1108]) ).
cnf(c_0_1698,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ c_Relation_Otrans(X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1109]) ).
cnf(c_0_1699,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1700,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1110]) ).
cnf(c_0_1701,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1110]) ).
cnf(c_0_1702,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1703,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1704,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1111]) ).
cnf(c_0_1705,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olexord(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1112]) ).
cnf(c_0_1706,plain,
( X2 = hAPP(hAPP(c_List_Oappend(X1),esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk39_4(X4,X3,X2,X1)),esk42_4(X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1087]) ).
cnf(c_0_1707,plain,
( X3 = hAPP(hAPP(c_List_Oappend(X1),esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk40_4(X4,X3,X2,X1)),esk42_4(X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1087]) ).
cnf(c_0_1708,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1709,plain,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1710,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1711,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,X5)),c_List_Onth(X1,X3,X5))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1712,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1713,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk30_3(X2,X3,X1)),esk30_3(X2,X3,X1))),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olexord(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1115]) ).
cnf(c_0_1714,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1116]) ).
cnf(c_0_1715,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1117]) ).
cnf(c_0_1716,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1118]) ).
cnf(c_0_1717,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1117]) ).
cnf(c_0_1718,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1719,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1720,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1119]) ).
cnf(c_0_1721,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1722,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1120]) ).
cnf(c_0_1723,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk57_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1121]) ).
cnf(c_0_1724,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk53_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1122]) ).
cnf(c_0_1725,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| X3 = hAPP(hAPP(c_List_Oappend(X1),esk34_5(X5,X4,X3,X2,X1)),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1726,plain,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1727,plain,
( X2 = hAPP(hAPP(c_List_Oappend(X1),X4),esk31_5(X5,X4,X3,X2,X1))
| hAPP(hAPP(c_List_Oappend(X1),X2),esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1728,plain,
( X4 = c_List_Olist_ONil(X1)
| X3 = hAPP(hAPP(c_List_Oappend(X1),esk34_5(X5,X4,X3,X2,X1)),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1729,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1730,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1731,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1732,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1733,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1734,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1735,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1736,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1737,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1738,plain,
c_List_Orotate1(X1,X2) = c_List_Olist_Olist__case(tc_List_Olist(X1),X1,c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Oappend(X1))),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1))),X2),
inference(split_conjunct,[status(thm)],[c_0_1125]) ).
cnf(c_0_1739,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1126]) ).
cnf(c_0_1740,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1741,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1128]) ).
cnf(c_0_1742,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X1),X6),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1129]) ).
cnf(c_0_1743,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1130]) ).
cnf(c_0_1744,plain,
( hBOOL(hAPP(hAPP(X3,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1131]) ).
cnf(c_0_1745,plain,
( hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1131]) ).
cnf(c_0_1746,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1132]) ).
cnf(c_0_1747,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1133]) ).
cnf(c_0_1748,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1134]) ).
cnf(c_0_1749,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1135]) ).
cnf(c_0_1750,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Set_Oimage(X2,X1,X3,X4)),c_Set_Oimage(X2,X1,X3,X5))),
inference(split_conjunct,[status(thm)],[c_0_1136]) ).
cnf(c_0_1751,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1752,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1753,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1139]) ).
cnf(c_0_1754,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1755,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| esk28_4(X2,X3,X4,X1) != esk29_4(X2,X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1080]) ).
cnf(c_0_1756,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1140]) ).
cnf(c_0_1757,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(X2,X3),X4)),c_Set_Oimage(tc_prod(X5,X6),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X1),X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X6)),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X3),X4)),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_1141]) ).
cnf(c_0_1758,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hAPP(X4,X2) != hAPP(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1759,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| ~ hBOOL(hAPP(X3,c_List_Onth(X2,X4,esk100_4(X4,X2,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1142]) ).
cnf(c_0_1760,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1143]) ).
cnf(c_0_1761,plain,
( hBOOL(hAPP(hAPP(c_member(X3),esk83_4(X5,X4,X3,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1762,plain,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1763,plain,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1764,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X5 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1765,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1145]) ).
cnf(c_0_1766,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1146]) ).
cnf(c_0_1767,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk78_3(X3,X2,X1)),esk79_3(X3,X2,X1))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_1768,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk78_3(X3,X2,X1)),esk80_3(X3,X2,X1))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_1769,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk50_3(X3,X2,X1)),esk51_3(X3,X2,X1))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1770,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk50_3(X3,X2,X1)),esk52_3(X3,X2,X1))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1771,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hAPP(X4,X2) = hAPP(X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1772,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1149]) ).
cnf(c_0_1773,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1150]) ).
cnf(c_0_1774,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1775,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1776,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1777,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1778,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1779,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1780,plain,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1781,plain,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1782,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1783,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X1)),X3),c_FuncSet_OPi(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_1151]) ).
cnf(c_0_1784,plain,
( X2 = c_Set_Oimage(X3,X1,X4,esk93_5(X5,X4,X3,X2,X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1785,plain,
( hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_fun(X7,tc_HOL_Obool)),X1),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X2),X3)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1153]) ).
cnf(c_0_1786,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk19_1(X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk18_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1787,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1788,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1789,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1790,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1791,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1792,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1793,plain,
c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))),c_Product__Type_OSigma(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))),
inference(split_conjunct,[status(thm)],[c_0_1154]) ).
cnf(c_0_1794,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X5,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_1155]) ).
cnf(c_0_1795,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),esk93_5(X5,X4,X3,X2,X1),X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1796,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1797,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1156]) ).
cnf(c_0_1798,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,esk94_4(X4,X3,X2,X1)),hAPP(X4,esk94_4(X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1157]) ).
cnf(c_0_1799,plain,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1800,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X2)),c_Product__Type_OSigma(X5,X1,X6,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1159]) ).
cnf(c_0_1801,plain,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1160]) ).
cnf(c_0_1802,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(split_conjunct,[status(thm)],[c_0_1161]) ).
cnf(c_0_1803,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1804,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),c_Product__Type_OSigma(X1,X4,X3,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1162]) ).
cnf(c_0_1805,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1160]) ).
cnf(c_0_1806,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X2 = X4
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1163]) ).
cnf(c_0_1807,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1126]) ).
cnf(c_0_1808,plain,
( X1 = hAPP(hAPP(c_List_Olist_OCons(X2),esk26_3(X3,X1,X2)),esk27_3(X3,X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olexord(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1164]) ).
cnf(c_0_1809,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1165]) ).
cnf(c_0_1810,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1166]) ).
cnf(c_0_1811,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1167]) ).
cnf(c_0_1812,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1161]) ).
cnf(c_0_1813,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1814,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))
| ~ c_FunDef_Oin__rel(X1,X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1169]) ).
cnf(c_0_1815,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1170]) ).
cnf(c_0_1816,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1170]) ).
cnf(c_0_1817,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk62_3(X3,X2,X1)),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1171]) ).
cnf(c_0_1818,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk61_3(X3,X2,X1)),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1172]) ).
cnf(c_0_1819,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk55_3(X3,X2,X1)),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1820,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1821,plain,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X1,X2),X3,X2),X4)),c_Product__Type_OPair(X1,X2))) = X4,
inference(split_conjunct,[status(thm)],[c_0_1174]) ).
cnf(c_0_1822,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_1175]) ).
cnf(c_0_1823,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk19_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk18_1(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1824,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk18_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk19_1(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1825,plain,
( c_FunDef_Oin__rel(X1,X2,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1169]) ).
cnf(c_0_1826,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olistrel(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1176]) ).
cnf(c_0_1827,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olistrel1(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1177]) ).
cnf(c_0_1828,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olex(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1178]) ).
cnf(c_0_1829,plain,
( X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1145]) ).
cnf(c_0_1830,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_ONil(X2))),c_List_Olistrel(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1179]) ).
cnf(c_0_1831,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olistrel1(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1180]) ).
cnf(c_0_1832,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olex(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1181]) ).
cnf(c_0_1833,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olexord(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1182]) ).
cnf(c_0_1834,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Product__Type_OSigma(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olists(X1,X3),c_COMBK(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_List_Olist(X1),c_List_Olists(X1,X3))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1183]) ).
cnf(c_0_1835,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1836,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1837,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1838,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1184]) ).
cnf(c_0_1839,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1185]) ).
cnf(c_0_1840,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1841,plain,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),esk33_5(X5,X4,X3,X2,X1))
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1842,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk4_3(X4,X3,X1)),esk5_3(X4,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1186]) ).
cnf(c_0_1843,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3),X4),X5))
| ~ hBOOL(hAPP(X3,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1187]) ).
cnf(c_0_1844,plain,
c_Set_Oimage(tc_prod(X1,X2),tc_prod(X2,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X2,X1)),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1))),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X4))) = c_Product__Type_OSigma(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_1188]) ).
cnf(c_0_1845,plain,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk90_2(X2,X1)),esk92_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1846,plain,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk46_2(X2,X1)),esk48_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1847,plain,
( c_Nitpick_Orefl_H(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk2_2(X2,X1)),esk2_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1190]) ).
cnf(c_0_1848,plain,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1849,plain,
( X2 = c_List_Olist_ONil(X1)
| X2 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),esk33_5(X5,X4,X3,X2,X1))
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1850,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X7))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,X6),X7))) ),
inference(split_conjunct,[status(thm)],[c_0_1191]) ).
cnf(c_0_1851,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Oappend(X1),X2),X3))),c_List_Olexord(X1,X4)))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1192]) ).
cnf(c_0_1852,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ORange(X2,X1,X3)),c_Relation_ORange(X2,X1,X4))),
inference(split_conjunct,[status(thm)],[c_0_1193]) ).
cnf(c_0_1853,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ODomain(X1,X2,X3)),c_Relation_ODomain(X1,X2,X4))),
inference(split_conjunct,[status(thm)],[c_0_1194]) ).
cnf(c_0_1854,plain,
( ~ hBOOL(hAPP(X1,c_List_Onth(X2,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1195]) ).
cnf(c_0_1855,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1196]) ).
cnf(c_0_1856,plain,
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X1,X4,X3,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_1197]) ).
cnf(c_0_1857,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1858,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1198]) ).
cnf(c_0_1859,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1199]) ).
cnf(c_0_1860,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1200]) ).
cnf(c_0_1861,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1862,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1863,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1864,plain,
c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X5)),c_Product__Type_OSigma(X1,X2,X4,X5)),
inference(split_conjunct,[status(thm)],[c_0_1203]) ).
cnf(c_0_1865,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1866,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1867,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1868,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1869,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk96_4(X4,X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1870,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1204]) ).
cnf(c_0_1871,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1204]) ).
cnf(c_0_1872,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk19_1(X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk18_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1873,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X1),X2),X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1205]) ).
cnf(c_0_1874,plain,
( X2 = hAPP(X4,esk83_4(X5,X4,X3,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1875,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1876,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1877,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1878,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1206]) ).
cnf(c_0_1879,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1207]) ).
cnf(c_0_1880,plain,
( hAPP(X1,X2) = hAPP(X2,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_1881,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1882,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1883,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1884,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1885,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1209]) ).
cnf(c_0_1886,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))))),
inference(split_conjunct,[status(thm)],[c_0_1210]) ).
cnf(c_0_1887,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1211]) ).
cnf(c_0_1888,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1889,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1212]) ).
cnf(c_0_1890,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1098]) ).
cnf(c_0_1891,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1122]) ).
cnf(c_0_1892,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1213]) ).
cnf(c_0_1893,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1214]) ).
cnf(c_0_1894,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2)))),
inference(split_conjunct,[status(thm)],[c_0_1215]) ).
cnf(c_0_1895,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olexord(X1,X3)))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1164]) ).
cnf(c_0_1896,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1))),c_List_Olistrel(X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_1216]) ).
cnf(c_0_1897,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1898,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),c_Wellfounded_Omeasure(X4,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1218]) ).
cnf(c_0_1899,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X3)))),
inference(split_conjunct,[status(thm)],[c_0_1219]) ).
cnf(c_0_1900,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X1)),esk16_1(X1))),hAPP(X1,esk14_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1901,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1902,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk90_2(X2,X1)),esk91_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1903,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk91_2(X2,X1)),esk92_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1904,plain,
( c_Relation_Oirrefl(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk49_2(X2,X1)),esk49_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1905,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk46_2(X2,X1)),esk47_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1906,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk47_2(X2,X1)),esk48_2(X2,X1))),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1907,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Relation_Oirrefl(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1908,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1221]) ).
cnf(c_0_1909,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1222]) ).
cnf(c_0_1910,plain,
( c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),c_List_Olast(X1,X2))),X2) = c_List_Obutlast(X1,X2)
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1223]) ).
cnf(c_0_1911,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1199]) ).
cnf(c_0_1912,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1224]) ).
cnf(c_0_1913,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X2
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1914,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X2
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1915,plain,
c_Set_Oimage(X1,X2,X3,c_Set_Oimage(X4,X1,X5,X6)) = c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1225]) ).
cnf(c_0_1916,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1917,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1918,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1226]) ).
cnf(c_0_1919,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,tc_HOL_Obool),X1),hAPP(hAPP(c_Product__Type_OPair(X4,X5),X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1227]) ).
cnf(c_0_1920,plain,
( X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Product__Type_OSigma(X6,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) != c_Product__Type_OSigma(X6,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1921,plain,
c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1229]) ).
cnf(c_0_1922,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1230]) ).
cnf(c_0_1923,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1211]) ).
cnf(c_0_1924,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk22_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_1925,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1231]) ).
cnf(c_0_1926,plain,
c_List_Olist_Olist__case(X1,X2,X3,X4,hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1232]) ).
cnf(c_0_1927,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk18_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1928,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk19_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1929,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk14_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1930,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1233]) ).
cnf(c_0_1931,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1932,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| X2 != hAPP(X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1234]) ).
cnf(c_0_1933,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[c_0_1235]) ).
cnf(c_0_1934,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[c_0_1236]) ).
cnf(c_0_1935,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1936,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1238]) ).
cnf(c_0_1937,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1938,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omeasure(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1218]) ).
cnf(c_0_1939,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X5,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1239]) ).
cnf(c_0_1940,plain,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
inference(split_conjunct,[status(thm)],[c_0_1240]) ).
cnf(c_0_1941,plain,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
inference(split_conjunct,[status(thm)],[c_0_1241]) ).
cnf(c_0_1942,plain,
c_List_Olist_Olist__case(X1,X2,X3,X4,c_List_Olist_ONil(X2)) = X3,
inference(split_conjunct,[status(thm)],[c_0_1242]) ).
cnf(c_0_1943,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),c_Set_Oimage(X2,X1,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1243]) ).
cnf(c_0_1944,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1945,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1946,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1947,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1245]) ).
cnf(c_0_1948,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1246]) ).
cnf(c_0_1949,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1950,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1951,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1952,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1953,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_1249]) ).
cnf(c_0_1954,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X1)),esk16_1(X1))),hAPP(esk14_1(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1955,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1956,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk65_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1957,plain,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_1958,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),c_Transitive__Closure_Ortrancl(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_1252]) ).
cnf(c_0_1959,plain,
( c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X2),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk9_2(X2,X1)),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt)))))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_1253]) ).
cnf(c_0_1960,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| X2 != c_Set_Oimage(X3,X1,X4,X6)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1961,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk62_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1171]) ).
cnf(c_0_1962,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk61_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1172]) ).
cnf(c_0_1963,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk55_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1964,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1965,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Nitpick_Orefl_H(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1190]) ).
cnf(c_0_1966,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1967,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1254]) ).
cnf(c_0_1968,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk100_4(X4,X2,X3,X1),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1142]) ).
cnf(c_0_1969,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1255]) ).
cnf(c_0_1970,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1256]) ).
cnf(c_0_1971,plain,
( X2 = hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk65_3(X3,X2,X1)),esk65_3(X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1972,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1257]) ).
cnf(c_0_1973,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1258]) ).
cnf(c_0_1974,plain,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1975,plain,
( hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1976,plain,
( c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) = c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X5 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1977,plain,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1978,plain,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1261]) ).
cnf(c_0_1979,plain,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk64_3(X3,X2,X1)),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1980,plain,
( c_List_Olistrelp(X1,X2,X4,X6)
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1981,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1982,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1983,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1984,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1985,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_1263]) ).
cnf(c_0_1986,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),esk25_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_1987,plain,
c_List_Omaps(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Oappend(X2),hAPP(X3,X4)),c_List_Omaps(X1,X2,X3,X5)),
inference(split_conjunct,[status(thm)],[c_0_1265]) ).
cnf(c_0_1988,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1266]) ).
cnf(c_0_1989,plain,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(X1),esk63_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1990,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1267]) ).
cnf(c_0_1991,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)),
inference(split_conjunct,[status(thm)],[c_0_1268]) ).
cnf(c_0_1992,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1269]) ).
cnf(c_0_1993,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1270]) ).
cnf(c_0_1994,plain,
( hBOOL(hAPP(hAPP(X2,X3),X5))
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1995,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1996,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(X1,esk3_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1186]) ).
cnf(c_0_1997,plain,
( c_Relation_Otrans(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1271]) ).
cnf(c_0_1998,plain,
( c_List_OdropWhile(X1,X2,X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hBOOL(hAPP(X2,X4))
| X3 != hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_1999,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),esk25_2(X2,X1)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_2000,plain,
( hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_2001,plain,
( X2 = c_List_Olist_ONil(X1)
| X2 = hAPP(hAPP(c_List_Olist_OCons(X1),esk63_3(X3,X2,X1)),esk64_3(X3,X2,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_2002,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1273]) ).
cnf(c_0_2003,plain,
( c_List_Onth(X1,c_List_OtakeWhile(X1,X2,X3),X4) = c_List_Onth(X1,X3,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1274]) ).
cnf(c_0_2004,plain,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),c_List_Osplice(X1,X3,X5))),
inference(split_conjunct,[status(thm)],[c_0_1275]) ).
cnf(c_0_2005,plain,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk6_0),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(split_conjunct,[status(thm)],[c_0_1276]) ).
cnf(c_0_2006,plain,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(split_conjunct,[status(thm)],[c_0_1277]) ).
cnf(c_0_2007,plain,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),c_Product__Type_Ocurry(X1,X2,X3,X4)) = X4,
inference(split_conjunct,[status(thm)],[c_0_1278]) ).
cnf(c_0_2008,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1279]) ).
cnf(c_0_2009,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,esk60_3(X3,X2,X1)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_2010,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,esk59_3(X3,X2,X1)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_2011,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_1282]) ).
cnf(c_0_2012,plain,
( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
| ~ c_Relation_Otrans(X2,X4)
| ~ c_Relation_Otrans(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1283]) ).
cnf(c_0_2013,plain,
( hBOOL(hAPP(hAPP(X1,esk58_2(X2,X1)),X2))
| ~ c_Predicate_ORangeP(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_2014,plain,
( X1 = X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| c_List_Onth(X3,X1,esk97_3(X3,X2,X1)) != c_List_Onth(X3,X2,esk97_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_2015,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_1286]) ).
cnf(c_0_2016,plain,
c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olistsp(X1,X2)),c_List_Olistsp(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_1287]) ).
cnf(c_0_2017,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_1288]) ).
cnf(c_0_2018,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_1289]) ).
cnf(c_0_2019,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk60_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_2020,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk59_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_2021,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_2022,plain,
( X3 = hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))
| c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_2023,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_2024,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_2025,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_2026,plain,
( X2 = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_2027,plain,
( X3 = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_2028,plain,
( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X5) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X6)
| X5 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_1293]) ).
cnf(c_0_2029,plain,
( X3 = c_List_Olist_ONil(X1)
| X3 = hAPP(hAPP(c_List_Olist_OCons(X1),esk81_3(X3,X2,X1)),esk82_3(X3,X2,X1))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_2030,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1295]) ).
cnf(c_0_2031,plain,
c_Product__Type_Ocurry(X1,X2,X3,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4)) = X4,
inference(split_conjunct,[status(thm)],[c_0_1296]) ).
cnf(c_0_2032,plain,
( X3 = X4
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_2033,plain,
( X3 = X4
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_2034,plain,
( hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_2035,plain,
( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1299]) ).
cnf(c_0_2036,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1300]) ).
cnf(c_0_2037,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1301]) ).
cnf(c_0_2038,plain,
hAPP(hAPP(c_Product__Type_Ointernal__split(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(split_conjunct,[status(thm)],[c_0_1302]) ).
cnf(c_0_2039,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2040,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_2041,plain,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1304]) ).
cnf(c_0_2042,plain,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1305]) ).
cnf(c_0_2043,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))) = c_List_OtakeWhile(X1,X2,X3)
| hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1306]) ).
cnf(c_0_2044,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1307]) ).
cnf(c_0_2045,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,X2),c_List_Olistrel1(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1308]) ).
cnf(c_0_2046,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_List_Olistrel(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1309]) ).
cnf(c_0_2047,plain,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(c_List_Olistsp(X1,X2),esk82_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_2048,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1310]) ).
cnf(c_0_2049,plain,
( c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_2050,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1311]) ).
cnf(c_0_2051,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1312]) ).
cnf(c_0_2052,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1313]) ).
cnf(c_0_2053,plain,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_1314]) ).
cnf(c_0_2054,plain,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_1315]) ).
cnf(c_0_2055,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1316]) ).
cnf(c_0_2056,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
| ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1317]) ).
cnf(c_0_2057,plain,
c_List_Onth(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) = X3,
inference(split_conjunct,[status(thm)],[c_0_1318]) ).
cnf(c_0_2058,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1319]) ).
cnf(c_0_2059,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1320]) ).
cnf(c_0_2060,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1321]) ).
cnf(c_0_2061,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1322]) ).
cnf(c_0_2062,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1323]) ).
cnf(c_0_2063,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2064,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2065,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1324]) ).
cnf(c_0_2066,plain,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,esk81_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_2067,plain,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_2068,plain,
( c_Predicate_ODomainP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1325]) ).
cnf(c_0_2069,plain,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1326]) ).
cnf(c_0_2070,plain,
hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),c_List_OdropWhile(X1,X2,X3)) = X3,
inference(split_conjunct,[status(thm)],[c_0_1327]) ).
cnf(c_0_2071,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_OtakeWhile(X1,X2,X4))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1328]) ).
cnf(c_0_2072,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1329]) ).
cnf(c_0_2073,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_1330]) ).
cnf(c_0_2074,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_1331]) ).
cnf(c_0_2075,plain,
c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X2,
inference(split_conjunct,[status(thm)],[c_0_1332]) ).
cnf(c_0_2076,plain,
c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X3,
inference(split_conjunct,[status(thm)],[c_0_1333]) ).
cnf(c_0_2077,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| ~ c_Relation_Osingle__valued(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1334]) ).
cnf(c_0_2078,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X5))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_2079,plain,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2080,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OdropWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1335]) ).
cnf(c_0_2081,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1336]) ).
cnf(c_0_2082,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1337]) ).
cnf(c_0_2083,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_2084,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_2085,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X3 != X5
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_2086,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1338]) ).
cnf(c_0_2087,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1339]) ).
cnf(c_0_2088,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1340]) ).
cnf(c_0_2089,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1341]) ).
cnf(c_0_2090,plain,
( hAPP(hAPP(c_List_Oappend(X1),c_List_Obutlast(X1,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),c_List_Olast(X1,X2)),c_List_Olist_ONil(X1))) = X2
| X2 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1342]) ).
cnf(c_0_2091,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oaccp(X1,X2),c_Wellfounded_Oaccp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1343]) ).
cnf(c_0_2092,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1344]) ).
cnf(c_0_2093,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1345]) ).
cnf(c_0_2094,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1346]) ).
cnf(c_0_2095,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1347]) ).
cnf(c_0_2096,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2097,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1348]) ).
cnf(c_0_2098,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1349]) ).
cnf(c_0_2099,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1350]) ).
cnf(c_0_2100,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1338]) ).
cnf(c_0_2101,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1338]) ).
cnf(c_0_2102,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1351]) ).
cnf(c_0_2103,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1351]) ).
cnf(c_0_2104,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1352]) ).
cnf(c_0_2105,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_1353]) ).
cnf(c_0_2106,plain,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1354]) ).
cnf(c_0_2107,plain,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1354]) ).
cnf(c_0_2108,plain,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1355]) ).
cnf(c_0_2109,plain,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1355]) ).
cnf(c_0_2110,plain,
( X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X1),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1356]) ).
cnf(c_0_2111,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_1357]) ).
cnf(c_0_2112,plain,
c_List_Orotate1(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1))),
inference(split_conjunct,[status(thm)],[c_0_1358]) ).
cnf(c_0_2113,plain,
( c_List_Obutlast(X1,X4) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_2114,plain,
( c_List_Olast(X1,X4) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_2115,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1360]) ).
cnf(c_0_2116,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1360]) ).
cnf(c_0_2117,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1361]) ).
cnf(c_0_2118,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1361]) ).
cnf(c_0_2119,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1362]) ).
cnf(c_0_2120,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_2121,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_2122,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_2123,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_2124,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_2125,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_2126,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1364]) ).
cnf(c_0_2127,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Oappend(X1),X4),X6) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_2128,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_2129,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1365]) ).
cnf(c_0_2130,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4
| X4 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_2131,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2132,plain,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2133,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1366]) ).
cnf(c_0_2134,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1367]) ).
cnf(c_0_2135,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk97_3(X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_2136,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olists(X1,X2),c_List_Olists(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1368]) ).
cnf(c_0_2137,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olistsp(X1,X2),c_List_Olistsp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1369]) ).
cnf(c_0_2138,plain,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1352]) ).
cnf(c_0_2139,plain,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1370]) ).
cnf(c_0_2140,plain,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1371]) ).
cnf(c_0_2141,plain,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_OdropWhile(X1,X2,X4)
| ~ hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1372]) ).
cnf(c_0_2142,plain,
c_List_Omaps(X1,X2,X3,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1373]) ).
cnf(c_0_2143,plain,
( c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4)
| X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_2144,plain,
c_Set_Oimage(X1,X1,c_COMBI(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_1374]) ).
cnf(c_0_2145,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1375]) ).
cnf(c_0_2146,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1376]) ).
cnf(c_0_2147,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1377]) ).
cnf(c_0_2148,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1378]) ).
cnf(c_0_2149,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1379]) ).
cnf(c_0_2150,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1380]) ).
cnf(c_0_2151,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1381]) ).
cnf(c_0_2152,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1382]) ).
cnf(c_0_2153,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1383]) ).
cnf(c_0_2154,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1157]) ).
cnf(c_0_2155,plain,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)
| hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1372]) ).
cnf(c_0_2156,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1384]) ).
cnf(c_0_2157,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1385]) ).
cnf(c_0_2158,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1386]) ).
cnf(c_0_2159,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1387]) ).
cnf(c_0_2160,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1388]) ).
cnf(c_0_2161,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1389]) ).
cnf(c_0_2162,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1390]) ).
cnf(c_0_2163,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1391]) ).
cnf(c_0_2164,plain,
hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olists(X1,X2))),
inference(split_conjunct,[status(thm)],[c_0_1392]) ).
cnf(c_0_2165,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| esk79_3(X3,X2,X1) != esk80_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_2166,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| esk51_3(X3,X2,X1) != esk52_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_2167,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1393]) ).
cnf(c_0_2168,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4
| X4 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,X4) != X3
| c_List_Obutlast(X1,X4) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_2169,plain,
c_List_Opartition(X1,X2,c_List_Olist_ONil(X1)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1394]) ).
cnf(c_0_2170,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_2171,plain,
( c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_2172,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1352]) ).
cnf(c_0_2173,plain,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),c_List_Olist_ONil(X1)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_1395]) ).
cnf(c_0_2174,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1396]) ).
cnf(c_0_2175,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1397]) ).
cnf(c_0_2176,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1398]) ).
cnf(c_0_2177,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1399]) ).
cnf(c_0_2178,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1400]) ).
cnf(c_0_2179,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1401]) ).
cnf(c_0_2180,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
| ~ hBOOL(hAPP(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1402]) ).
cnf(c_0_2181,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1403]) ).
cnf(c_0_2182,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1400]) ).
cnf(c_0_2183,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1401]) ).
cnf(c_0_2184,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1404]) ).
cnf(c_0_2185,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1405]) ).
cnf(c_0_2186,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1406]) ).
cnf(c_0_2187,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1407]) ).
cnf(c_0_2188,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X5
| X4 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_2189,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_2190,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_2191,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1328]) ).
cnf(c_0_2192,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X4 != X6
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_1354]) ).
cnf(c_0_2193,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1408]) ).
cnf(c_0_2194,plain,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1409]) ).
cnf(c_0_2195,plain,
( X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1410]) ).
cnf(c_0_2196,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1411]) ).
cnf(c_0_2197,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1412]) ).
cnf(c_0_2198,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1413]) ).
cnf(c_0_2199,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1414]) ).
cnf(c_0_2200,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1415]) ).
cnf(c_0_2201,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1416]) ).
cnf(c_0_2202,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1417]) ).
cnf(c_0_2203,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1418]) ).
cnf(c_0_2204,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1419]) ).
cnf(c_0_2205,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1399]) ).
cnf(c_0_2206,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1420]) ).
cnf(c_0_2207,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1421]) ).
cnf(c_0_2208,plain,
( c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,esk98_2(X2,X1)) = c_List_Onth(X1,X2,esk99_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_2209,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1422]) ).
cnf(c_0_2210,plain,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X4),X1) != hAPP(hAPP(c_List_Oappend(X3),X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1423]) ).
cnf(c_0_2211,plain,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X1),X4) != hAPP(hAPP(c_List_Oappend(X3),X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1424]) ).
cnf(c_0_2212,plain,
( X2 = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1425]) ).
cnf(c_0_2213,plain,
( X3 = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_1425]) ).
cnf(c_0_2214,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1426]) ).
cnf(c_0_2215,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1427]) ).
cnf(c_0_2216,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1428]) ).
cnf(c_0_2217,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1429]) ).
cnf(c_0_2218,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X3)))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1381]) ).
cnf(c_0_2219,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1407]) ).
cnf(c_0_2220,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1430]) ).
cnf(c_0_2221,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1431]) ).
cnf(c_0_2222,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1432]) ).
cnf(c_0_2223,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1433]) ).
cnf(c_0_2224,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1434]) ).
cnf(c_0_2225,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1410]) ).
cnf(c_0_2226,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1435]) ).
cnf(c_0_2227,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1436]) ).
cnf(c_0_2228,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1437]) ).
cnf(c_0_2229,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1438]) ).
cnf(c_0_2230,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1439]) ).
cnf(c_0_2231,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1440]) ).
cnf(c_0_2232,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1441]) ).
cnf(c_0_2233,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1408]) ).
cnf(c_0_2234,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1442]) ).
cnf(c_0_2235,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1443]) ).
cnf(c_0_2236,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1444]) ).
cnf(c_0_2237,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1445]) ).
cnf(c_0_2238,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1446]) ).
cnf(c_0_2239,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1447]) ).
cnf(c_0_2240,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1445]) ).
cnf(c_0_2241,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1399]) ).
cnf(c_0_2242,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1446]) ).
cnf(c_0_2243,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1448]) ).
cnf(c_0_2244,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1449]) ).
cnf(c_0_2245,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1450]) ).
cnf(c_0_2246,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1448]) ).
cnf(c_0_2247,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_1451]) ).
cnf(c_0_2248,plain,
( c_List_Odistinct(X1,c_List_OdropWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1452]) ).
cnf(c_0_2249,plain,
( c_List_Odistinct(X1,c_List_OtakeWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1453]) ).
cnf(c_0_2250,plain,
( c_List_Odistinct(X1,c_List_Oinsert(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1454]) ).
cnf(c_0_2251,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,esk22_2(X2,X1)) != hAPP(esk22_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_2252,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1455]) ).
cnf(c_0_2253,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1456]) ).
cnf(c_0_2254,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1457]) ).
cnf(c_0_2255,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Obutlast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1405]) ).
cnf(c_0_2256,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1458]) ).
cnf(c_0_2257,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1459]) ).
cnf(c_0_2258,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1455]) ).
cnf(c_0_2259,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1460]) ).
cnf(c_0_2260,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1461]) ).
cnf(c_0_2261,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1457]) ).
cnf(c_0_2262,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1462]) ).
cnf(c_0_2263,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1463]) ).
cnf(c_0_2264,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1459]) ).
cnf(c_0_2265,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1464]) ).
cnf(c_0_2266,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1465]) ).
cnf(c_0_2267,plain,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk98_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_2268,plain,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk99_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_2269,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1406]) ).
cnf(c_0_2270,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1466]) ).
cnf(c_0_2271,plain,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1400]) ).
cnf(c_0_2272,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1467]) ).
cnf(c_0_2273,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1465]) ).
cnf(c_0_2274,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1468]) ).
cnf(c_0_2275,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1469]) ).
cnf(c_0_2276,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1470]) ).
cnf(c_0_2277,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_1471]) ).
cnf(c_0_2278,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1444]) ).
cnf(c_0_2279,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1472]) ).
cnf(c_0_2280,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1473]) ).
cnf(c_0_2281,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1434]) ).
cnf(c_0_2282,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1474]) ).
cnf(c_0_2283,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1418]) ).
cnf(c_0_2284,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1475]) ).
cnf(c_0_2285,plain,
c_List_Oinsert(X1,X2,c_List_Olist_ONil(X1)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1476]) ).
cnf(c_0_2286,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1477]) ).
cnf(c_0_2287,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1478]) ).
cnf(c_0_2288,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1479]) ).
cnf(c_0_2289,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1420]) ).
cnf(c_0_2290,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1421]) ).
cnf(c_0_2291,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1480]) ).
cnf(c_0_2292,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1481]) ).
cnf(c_0_2293,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1482]) ).
cnf(c_0_2294,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1483]) ).
cnf(c_0_2295,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1484]) ).
cnf(c_0_2296,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != X5
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1425]) ).
cnf(c_0_2297,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_1485]) ).
cnf(c_0_2298,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2299,plain,
c_Product__Type_Ointernal__split(X1,X2,X3) = c_Product__Type_Oprod_Oprod__case(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1487]) ).
cnf(c_0_2300,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X2),X4)
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1423]) ).
cnf(c_0_2301,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X3)
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1424]) ).
cnf(c_0_2302,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1488]) ).
cnf(c_0_2303,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1489]) ).
cnf(c_0_2304,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1490]) ).
cnf(c_0_2305,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1491]) ).
cnf(c_0_2306,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1418]) ).
cnf(c_0_2307,plain,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1475]) ).
cnf(c_0_2308,plain,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1475]) ).
cnf(c_0_2309,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1446]) ).
cnf(c_0_2310,plain,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
inference(split_conjunct,[status(thm)],[c_0_1492]) ).
cnf(c_0_2311,plain,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
inference(split_conjunct,[status(thm)],[c_0_1493]) ).
cnf(c_0_2312,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1494]) ).
cnf(c_0_2313,plain,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1494]) ).
cnf(c_0_2314,plain,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != hAPP(hAPP(c_List_Oappend(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1495]) ).
cnf(c_0_2315,plain,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != hAPP(hAPP(c_List_Oappend(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1495]) ).
cnf(c_0_2316,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1496]) ).
cnf(c_0_2317,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_2318,plain,
( hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1497]) ).
cnf(c_0_2319,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1498]) ).
cnf(c_0_2320,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1499]) ).
cnf(c_0_2321,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != hAPP(hAPP(c_List_Oappend(X2),X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1500]) ).
cnf(c_0_2322,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != hAPP(hAPP(c_List_Oappend(X2),X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_1501]) ).
cnf(c_0_2323,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1502]) ).
cnf(c_0_2324,plain,
c_List_Olist_ONil(X1) != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_1503]) ).
cnf(c_0_2325,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1504]) ).
cnf(c_0_2326,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1505]) ).
cnf(c_0_2327,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2328,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2329,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1457]) ).
cnf(c_0_2330,plain,
c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_1506]) ).
cnf(c_0_2331,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_1507]) ).
cnf(c_0_2332,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_1508]) ).
cnf(c_0_2333,plain,
X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_1509]) ).
cnf(c_0_2334,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X3,
inference(split_conjunct,[status(thm)],[c_0_1510]) ).
cnf(c_0_2335,plain,
c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1511]) ).
cnf(c_0_2336,plain,
c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1512]) ).
cnf(c_0_2337,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1401]) ).
cnf(c_0_2338,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1379]) ).
cnf(c_0_2339,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1379]) ).
cnf(c_0_2340,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1513]) ).
cnf(c_0_2341,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1514]) ).
cnf(c_0_2342,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1515]) ).
cnf(c_0_2343,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1515]) ).
cnf(c_0_2344,plain,
c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_1516]) ).
cnf(c_0_2345,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1517]) ).
cnf(c_0_2346,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(X1,c_List_Orotate1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1518]) ).
cnf(c_0_2347,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
inference(split_conjunct,[status(thm)],[c_0_1519]) ).
cnf(c_0_2348,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1494]) ).
cnf(c_0_2349,plain,
( c_List_Olist_ONil(X1) = hAPP(hAPP(c_List_Oappend(X1),X2),X3)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1495]) ).
cnf(c_0_2350,plain,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olexord(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1520]) ).
cnf(c_0_2351,plain,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olistrel(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1521]) ).
cnf(c_0_2352,plain,
( X1 = hAPP(hAPP(c_List_Oappend(X2),c_List_Olist_ONil(X2)),X3)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1522]) ).
cnf(c_0_2353,plain,
( c_List_Odistinct(X1,c_List_Obutlast(X1,X2))
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1523]) ).
cnf(c_0_2354,plain,
c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_Orotate1(X1,X2)) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2),
inference(split_conjunct,[status(thm)],[c_0_1524]) ).
cnf(c_0_2355,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1445]) ).
cnf(c_0_2356,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1409]) ).
cnf(c_0_2357,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1409]) ).
cnf(c_0_2358,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X3
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1525]) ).
cnf(c_0_2359,plain,
hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_1526]) ).
cnf(c_0_2360,plain,
c_List_OdropWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1527]) ).
cnf(c_0_2361,plain,
c_List_OtakeWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1528]) ).
cnf(c_0_2362,plain,
( c_List_Odistinct(X1,c_List_Orotate1(X1,X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1518]) ).
cnf(c_0_2363,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1529]) ).
cnf(c_0_2364,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X3
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1498]) ).
cnf(c_0_2365,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1499]) ).
cnf(c_0_2366,plain,
( X1 = hAPP(hAPP(c_List_Oappend(X2),X3),X1)
| X3 != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1500]) ).
cnf(c_0_2367,plain,
( X1 = hAPP(hAPP(c_List_Oappend(X2),X1),X3)
| X3 != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1501]) ).
cnf(c_0_2368,plain,
c_List_Osplice(X1,X2,c_List_Olist_ONil(X1)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1530]) ).
cnf(c_0_2369,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_1531]) ).
cnf(c_0_2370,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1532]) ).
cnf(c_0_2371,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1533]) ).
cnf(c_0_2372,plain,
hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Olist_ONil(X1)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1534]) ).
cnf(c_0_2373,plain,
( c_List_Odistinct(X1,X2)
| esk98_2(X2,X1) != esk99_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_2374,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1455]) ).
cnf(c_0_2375,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1461]) ).
cnf(c_0_2376,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1535]) ).
cnf(c_0_2377,plain,
c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1536]) ).
cnf(c_0_2378,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_1537]) ).
cnf(c_0_2379,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1538]) ).
cnf(c_0_2380,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_2381,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1539]) ).
cnf(c_0_2382,plain,
c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_1540]) ).
cnf(c_0_2383,plain,
c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_1541]) ).
cnf(c_0_2384,plain,
( class_Orderings_Oord(tc_fun(X1,X2))
| ~ class_Orderings_Oord(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1542]) ).
cnf(c_0_2385,plain,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1543]) ).
cnf(c_0_2386,plain,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1544]) ).
cnf(c_0_2387,plain,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1545]) ).
cnf(c_0_2388,plain,
( class_Lattices_Osemilattice__inf(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1546]) ).
cnf(c_0_2389,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X2,X1) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1547]) ).
cnf(c_0_2390,plain,
( hBOOL(hAPP(c_fNot,X1))
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1548]) ).
cnf(c_0_2391,plain,
( c_List_Orotate1(X1,X2) = c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1547]) ).
cnf(c_0_2392,plain,
c_List_Obutlast(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1549]) ).
cnf(c_0_2393,plain,
c_List_Orotate1(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1358]) ).
cnf(c_0_2394,plain,
hAPP(c_COMBI(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_1550]) ).
cnf(c_0_2395,plain,
c_List_Odistinct(X1,c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1551]) ).
cnf(c_0_2396,plain,
class_Orderings_Oord(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[c_0_1552]) ).
cnf(c_0_2397,plain,
class_Orderings_Oorder(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[c_0_1553]) ).
cnf(c_0_2398,plain,
class_Lattices_Olattice(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[c_0_1554]) ).
cnf(c_0_2399,plain,
class_Orderings_Opreorder(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[c_0_1555]) ).
cnf(c_0_2400,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[c_0_1556]) ).
cnf(c_0_2401,plain,
class_Orderings_Oord(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1557]) ).
cnf(c_0_2402,plain,
class_Orderings_Oorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1558]) ).
cnf(c_0_2403,plain,
class_Lattices_Olattice(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1559]) ).
cnf(c_0_2404,plain,
class_Orderings_Olinorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1560]) ).
cnf(c_0_2405,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1561]) ).
cnf(c_0_2406,plain,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[c_0_1562]) ).
cnf(c_0_2407,plain,
c_Arrow__Order__Mirabelle_OIIA(v_F),
inference(split_conjunct,[status(thm)],[c_0_1563]) ).
cnf(c_0_2408,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(split_conjunct,[status(thm)],[c_0_1564]) ).
cnf(c_0_2409,plain,
v_a____ != v_b____,
inference(split_conjunct,[status(thm)],[c_0_1565]) ).
cnf(c_0_2410,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
c_0_1566,
[final] ).
cnf(c_0_2411,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
c_0_1567,
[final] ).
cnf(c_0_2412,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_1568,
[final] ).
cnf(c_0_2413,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
c_0_1569,
[final] ).
cnf(c_0_2414,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
c_0_1570,
[final] ).
cnf(c_0_2415,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
c_0_1571,
[final] ).
cnf(c_0_2416,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
c_0_1572,
[final] ).
cnf(c_0_2417,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
c_0_1573,
[final] ).
cnf(c_0_2418,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
c_0_1574,
[final] ).
cnf(c_0_2419,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_1575,
[final] ).
cnf(c_0_2420,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk74_7(X7,X6,X5,X4,X3,X2,X1)),esk75_7(X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
c_0_1576,
[final] ).
cnf(c_0_2421,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4)) ),
c_0_1577,
[final] ).
cnf(c_0_2422,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk74_7(X7,X6,X5,X4,X3,X2,X1)),esk75_7(X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
c_0_1578,
[final] ).
cnf(c_0_2423,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
c_0_1579,
[final] ).
cnf(c_0_2424,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk69_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
c_0_1580,
[final] ).
cnf(c_0_2425,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))) ),
c_0_1581,
[final] ).
cnf(c_0_2426,plain,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(X8,esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
c_0_1582,
[final] ).
cnf(c_0_2427,plain,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(X8,esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
c_0_1583,
[final] ).
cnf(c_0_2428,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X3)),X2)) ),
c_0_1584,
[final] ).
cnf(c_0_2429,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_fun(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_If(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(X2,X3)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(c_List_Olist_OCons(X1),X3))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBB(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(c_List_Olist_OCons(X1),X3)))),c_List_Opartition(X1,X2,X4)) = c_List_Opartition(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),
c_0_1585,
[final] ).
cnf(c_0_2430,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
c_0_1586,
[final] ).
cnf(c_0_2431,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))) ),
c_0_1587,
[final] ).
cnf(c_0_2432,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)) ),
c_0_1588,
[final] ).
cnf(c_0_2433,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ),
c_0_1589,
[final] ).
cnf(c_0_2434,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
c_0_1590,
[final] ).
cnf(c_0_2435,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,esk88_6(X5,X2,X1,X4,X3,X6)),esk89_6(X5,X2,X1,X4,X3,X6)))) ),
c_0_1591,
[final] ).
cnf(c_0_2436,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
c_0_1592,
[final] ).
cnf(c_0_2437,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
c_0_1593,
[final] ).
cnf(c_0_2438,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
c_0_1594,
[final] ).
cnf(c_0_2439,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk7_6(X6,X5,X4,X3,X2,X1)))) ),
c_0_1595,
[final] ).
cnf(c_0_2440,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3) ),
c_0_1596,
[final] ).
cnf(c_0_2441,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ c_Predicate_ODomainP(X1,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4),X2) ),
c_0_1597,
[final] ).
cnf(c_0_2442,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ c_Predicate_ORangeP(X3,X1,hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_COMBC(X1,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X3,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X1),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X3,X1)))),c_Product__Type_OPair(X3,X1)))),X4),X2) ),
c_0_1598,
[final] ).
cnf(c_0_2443,plain,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X2) ),
c_0_1599,
[final] ).
cnf(c_0_2444,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,esk86_6(X6,X5,X4,X3,X2,X1)),esk87_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
c_0_1600,
[final] ).
cnf(c_0_2445,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
c_0_1601,
[final] ).
cnf(c_0_2446,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
c_0_1602,
[final] ).
cnf(c_0_2447,plain,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
c_0_1603,
[final] ).
cnf(c_0_2448,plain,
( c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel(X1,X2))) ),
c_0_1604,
[final] ).
cnf(c_0_2449,plain,
( c_Predicate_ODomainP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Relation_ODomain(X1,X2,X3))) ),
c_0_1605,
[final] ).
cnf(c_0_2450,plain,
( c_Predicate_ORangeP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
c_0_1606,
[final] ).
cnf(c_0_2451,plain,
( hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3) = hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)
| X3 != X4 ),
c_0_1607,
[final] ).
cnf(c_0_2452,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
c_0_1608,
[final] ).
cnf(c_0_2453,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
c_0_1609,
[final] ).
cnf(c_0_2454,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk43_5(X4,X3,X2,X5,X1)),esk43_5(X4,X3,X2,X5,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X2)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X4))) ),
c_0_1610,
[final] ).
cnf(c_0_2455,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
c_0_1611,
[final] ).
cnf(c_0_2456,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6)),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X3,X2)),X5),c_FuncSet_OPi(X3,X2,X8,c_COMBK(tc_fun(X2,tc_HOL_Obool),X3,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X6),c_FuncSet_OPi(X1,X3,X4,c_COMBK(tc_fun(X3,tc_HOL_Obool),X1,X8)))) ),
c_0_1612,
[final] ).
cnf(c_0_2457,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2))) ),
c_0_1613,
[final] ).
cnf(c_0_2458,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2))) ),
c_0_1614,
[final] ).
cnf(c_0_2459,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
c_0_1615,
[final] ).
cnf(c_0_2460,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk85_5(X5,X3,X2,X4,X1))),hAPP(X5,esk85_5(X5,X3,X2,X4,X1)))) ),
c_0_1616,
[final] ).
cnf(c_0_2461,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk23_5(X5,X3,X2,X4,X1))),hAPP(X5,esk23_5(X5,X3,X2,X4,X1)))) ),
c_0_1617,
[final] ).
cnf(c_0_2462,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk44_5(X5,X4,X3,X2,X1))),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
c_0_1618,
[final] ).
cnf(c_0_2463,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk77_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
c_0_1619,
[final] ).
cnf(c_0_2464,plain,
( c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9)))) ),
c_0_1620,
[final] ).
cnf(c_0_2465,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,esk96_4(X4,X3,X2,X1))),c_List_Onth(X1,X3,esk96_4(X4,X3,X2,X1)))),X4)) ),
c_0_1621,
[final] ).
cnf(c_0_2466,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),esk38_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
c_0_1622,
[final] ).
cnf(c_0_2467,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk37_5(X5,X4,X3,X2,X1)),X3)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
c_0_1623,
[final] ).
cnf(c_0_2468,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2))) ),
c_0_1624,
[final] ).
cnf(c_0_2469,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2))) ),
c_0_1625,
[final] ).
cnf(c_0_2470,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
c_0_1626,
[final] ).
cnf(c_0_2471,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
c_0_1627,
[final] ).
cnf(c_0_2472,plain,
( hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk86_6(X6,X5,X4,X3,X2,X1)),esk87_6(X6,X5,X4,X3,X2,X1)) = X6
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
c_0_1628,
[final] ).
cnf(c_0_2473,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk88_6(X5,X2,X1,X4,X3,X6)),esk89_6(X5,X2,X1,X4,X3,X6)) = X6 ),
c_0_1629,
[final] ).
cnf(c_0_2474,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,esk24_5(X5,X3,X2,X4,X1))),X5)) ),
c_0_1630,
[final] ).
cnf(c_0_2475,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
c_0_1631,
[final] ).
cnf(c_0_2476,plain,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),c_fequal))),X2)) = c_Relation_OId__on(X1,X2),
c_0_1632,
[final] ).
cnf(c_0_2477,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk44_5(X5,X4,X3,X2,X1))),X5))
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk45_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
c_0_1633,
[final] ).
cnf(c_0_2478,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
c_0_1634,
[final] ).
cnf(c_0_2479,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
c_0_1635,
[final] ).
cnf(c_0_2480,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),esk36_5(X5,X4,X3,X2,X1))),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
c_0_1636,
[final] ).
cnf(c_0_2481,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),esk35_5(X5,X4,X3,X2,X1))),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
c_0_1637,
[final] ).
cnf(c_0_2482,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk28_4(X2,X3,X4,X1)),esk29_4(X2,X3,X4,X1))),X4)) ),
c_0_1638,
[final] ).
cnf(c_0_2483,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk29_4(X2,X3,X4,X1)),esk28_4(X2,X3,X4,X1))),X4)) ),
c_0_1639,
[final] ).
cnf(c_0_2484,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
c_0_1640,
[final] ).
cnf(c_0_2485,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
c_0_1641,
[final] ).
cnf(c_0_2486,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2))) ),
c_0_1642,
[final] ).
cnf(c_0_2487,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
c_0_1643,
[final] ).
cnf(c_0_2488,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
c_0_1644,
[final] ).
cnf(c_0_2489,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),hAPP(X4,esk95_5(X5,X4,X2,X3,X1)),hAPP(X5,esk95_5(X5,X4,X2,X3,X1))) ),
c_0_1645,
[final] ).
cnf(c_0_2490,plain,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
c_0_1646,
[final] ).
cnf(c_0_2491,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
c_0_1647,
[final] ).
cnf(c_0_2492,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X2,X1)),esk12_2(X2,X1))),hAPP(X1,esk10_2(X2,X1)))) ),
c_0_1648,
[final] ).
cnf(c_0_2493,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk39_4(X4,X3,X2,X1)),esk40_4(X4,X3,X2,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
c_0_1649,
[final] ).
cnf(c_0_2494,plain,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
c_0_1650,
[final] ).
cnf(c_0_2495,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
c_0_1651,
[final] ).
cnf(c_0_2496,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X4)),X2)) ),
c_0_1652,
[final] ).
cnf(c_0_2497,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk11_2(X2,X1)),esk12_2(X2,X1))),hAPP(esk10_2(X2,X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
c_0_1653,
[final] ).
cnf(c_0_2498,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk10_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
c_0_1654,
[final] ).
cnf(c_0_2499,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| esk12_2(X2,X1) != esk11_2(X2,X1) ),
c_0_1655,
[final] ).
cnf(c_0_2500,plain,
( c_Set_Oimage(X1,X2,c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6),X4) = X7
| c_Set_Oimage(X3,X2,X5,X8) != X7
| c_Set_Oimage(X1,X3,X6,X4) != X8 ),
c_0_1656,
[final] ).
cnf(c_0_2501,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
c_0_1657,
[final] ).
cnf(c_0_2502,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk45_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
c_0_1658,
[final] ).
cnf(c_0_2503,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk35_5(X5,X4,X3,X2,X1)),esk36_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
c_0_1659,
[final] ).
cnf(c_0_2504,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
c_0_1660,
[final] ).
cnf(c_0_2505,plain,
( hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X5,hAPP(X6,X7))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X7),X4)) ),
c_0_1661,
[final] ).
cnf(c_0_2506,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
c_0_1662,
[final] ).
cnf(c_0_2507,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| hBOOL(hAPP(hAPP(c_member(X1),esk24_5(X5,X3,X2,X4,X1)),X4)) ),
c_0_1663,
[final] ).
cnf(c_0_2508,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| X2 != X4 ),
c_0_1664,
[final] ).
cnf(c_0_2509,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),esk77_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
c_0_1665,
[final] ).
cnf(c_0_2510,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),esk37_5(X5,X4,X3,X2,X1)),esk38_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
c_0_1666,
[final] ).
cnf(c_0_2511,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),esk85_5(X5,X3,X2,X4,X1)),X4)) ),
c_0_1667,
[final] ).
cnf(c_0_2512,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),esk23_5(X5,X3,X2,X4,X1)),X4)) ),
c_0_1668,
[final] ).
cnf(c_0_2513,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| hBOOL(hAPP(hAPP(c_member(X1),esk95_5(X5,X4,X2,X3,X1)),X3)) ),
c_0_1669,
[final] ).
cnf(c_0_2514,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)))),c_List_Olexord(X1,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
c_0_1670,
[final] ).
cnf(c_0_2515,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))
| ~ hBOOL(hAPP(X6,X3)) ),
c_0_1671,
[final] ).
cnf(c_0_2516,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| X3 != X5 ),
c_0_1672,
[final] ).
cnf(c_0_2517,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
c_0_1673,
[final] ).
cnf(c_0_2518,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X3),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X1,X2)),tc_fun(X6,X3),X5),hAPP(c_COMBB(tc_prod(X1,X2),X3,X6),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4))),X7)),X8) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_prod(X1,X2)),X7),X8)),
c_0_1674,
[final] ).
cnf(c_0_2519,plain,
c_Product__Type_OSigma(X1,X2,X3,hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X4)),c_Product__Type_OSigma(X1,X2,X3,X5)),
c_0_1675,
[final] ).
cnf(c_0_2520,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))) ),
c_0_1676,
[final] ).
cnf(c_0_2521,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1677,
[final] ).
cnf(c_0_2522,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk56_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
c_0_1678,
[final] ).
cnf(c_0_2523,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk54_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
c_0_1679,
[final] ).
cnf(c_0_2524,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
c_0_1680,
[final] ).
cnf(c_0_2525,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
c_0_1681,
[final] ).
cnf(c_0_2526,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
c_0_1682,
[final] ).
cnf(c_0_2527,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
c_0_1683,
[final] ).
cnf(c_0_2528,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6))) ),
c_0_1684,
[final] ).
cnf(c_0_2529,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
c_0_1685,
[final] ).
cnf(c_0_2530,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
c_0_1686,
[final] ).
cnf(c_0_2531,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
c_0_1687,
[final] ).
cnf(c_0_2532,plain,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
c_0_1688,
[final] ).
cnf(c_0_2533,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,esk13_4(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
c_0_1689,
[final] ).
cnf(c_0_2534,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X2))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X3))) = c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),
c_0_1690,
[final] ).
cnf(c_0_2535,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
c_0_1691,
[final] ).
cnf(c_0_2536,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
c_0_1692,
[final] ).
cnf(c_0_2537,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
c_0_1693,
[final] ).
cnf(c_0_2538,plain,
( hAPP(hAPP(c_List_Oappend(X1),X4),esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1694,
[final] ).
cnf(c_0_2539,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1695,
[final] ).
cnf(c_0_2540,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
c_0_1696,
[final] ).
cnf(c_0_2541,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5)))) ),
c_0_1697,
[final] ).
cnf(c_0_2542,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ c_Relation_Otrans(X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4))) ),
c_0_1698,
[final] ).
cnf(c_0_2543,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| X2 != X4 ),
c_0_1699,
[final] ).
cnf(c_0_2544,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
c_0_1700,
[final] ).
cnf(c_0_2545,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
c_0_1701,
[final] ).
cnf(c_0_2546,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
c_0_1702,
[final] ).
cnf(c_0_2547,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| X2 != X4 ),
c_0_1703,
[final] ).
cnf(c_0_2548,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5))) ),
c_0_1704,
[final] ).
cnf(c_0_2549,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olexord(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5))) ),
c_0_1705,
[final] ).
cnf(c_0_2550,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk39_4(X4,X3,X2,X1)),esk42_4(X4,X3,X2,X1))) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
c_0_1706,
[final] ).
cnf(c_0_2551,plain,
( hAPP(hAPP(c_List_Oappend(X1),esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),esk40_4(X4,X3,X2,X1)),esk42_4(X4,X3,X2,X1))) = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
c_0_1707,
[final] ).
cnf(c_0_2552,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
c_0_1708,
[final] ).
cnf(c_0_2553,plain,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
c_0_1709,
[final] ).
cnf(c_0_2554,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1710,
[final] ).
cnf(c_0_2555,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,X5)),c_List_Onth(X1,X3,X5))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
c_0_1711,
[final] ).
cnf(c_0_2556,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1712,
[final] ).
cnf(c_0_2557,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk30_3(X2,X3,X1)),esk30_3(X2,X3,X1))),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olexord(X1,X3))) ),
c_0_1713,
[final] ).
cnf(c_0_2558,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
c_0_1714,
[final] ).
cnf(c_0_2559,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
c_0_1715,
[final] ).
cnf(c_0_2560,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
c_0_1716,
[final] ).
cnf(c_0_2561,plain,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
c_0_1717,
[final] ).
cnf(c_0_2562,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
c_0_1718,
[final] ).
cnf(c_0_2563,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
c_0_1719,
[final] ).
cnf(c_0_2564,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X5)) ),
c_0_1720,
[final] ).
cnf(c_0_2565,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
c_0_1721,
[final] ).
cnf(c_0_2566,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
c_0_1722,
[final] ).
cnf(c_0_2567,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk57_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
c_0_1723,
[final] ).
cnf(c_0_2568,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),esk53_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
c_0_1724,
[final] ).
cnf(c_0_2569,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1725,
[final] ).
cnf(c_0_2570,plain,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_1726,
[final] ).
cnf(c_0_2571,plain,
( hAPP(hAPP(c_List_Oappend(X1),X4),esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1727,
[final] ).
cnf(c_0_2572,plain,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1728,
[final] ).
cnf(c_0_2573,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_1729,
[final] ).
cnf(c_0_2574,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1730,
[final] ).
cnf(c_0_2575,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
c_0_1731,
[final] ).
cnf(c_0_2576,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1732,
[final] ).
cnf(c_0_2577,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1733,
[final] ).
cnf(c_0_2578,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1734,
[final] ).
cnf(c_0_2579,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
c_0_1735,
[final] ).
cnf(c_0_2580,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1736,
[final] ).
cnf(c_0_2581,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1737,
[final] ).
cnf(c_0_2582,plain,
c_List_Olist_Olist__case(tc_List_Olist(X1),X1,c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Oappend(X1))),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1))),X2) = c_List_Orotate1(X1,X2),
c_0_1738,
[final] ).
cnf(c_0_2583,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X2)) ),
c_0_1739,
[final] ).
cnf(c_0_2584,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
c_0_1740,
[final] ).
cnf(c_0_2585,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
c_0_1741,
[final] ).
cnf(c_0_2586,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X1),X6),X2),X3)) ),
c_0_1742,
[final] ).
cnf(c_0_2587,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1),X2),X3)) ),
c_0_1743,
[final] ).
cnf(c_0_2588,plain,
( hBOOL(hAPP(hAPP(X3,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
c_0_1744,
[final] ).
cnf(c_0_2589,plain,
( hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
c_0_1745,
[final] ).
cnf(c_0_2590,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)) ),
c_0_1746,
[final] ).
cnf(c_0_2591,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
c_0_1747,
[final] ).
cnf(c_0_2592,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
c_0_1748,
[final] ).
cnf(c_0_2593,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
c_0_1749,
[final] ).
cnf(c_0_2594,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Set_Oimage(X2,X1,X3,X4)),c_Set_Oimage(X2,X1,X3,X5))),
c_0_1750,
[final] ).
cnf(c_0_2595,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
c_0_1751,
[final] ).
cnf(c_0_2596,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
c_0_1752,
[final] ).
cnf(c_0_2597,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
c_0_1753,
[final] ).
cnf(c_0_2598,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
c_0_1754,
[final] ).
cnf(c_0_2599,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| esk28_4(X2,X3,X4,X1) != esk29_4(X2,X3,X4,X1) ),
c_0_1755,
[final] ).
cnf(c_0_2600,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1756,
[final] ).
cnf(c_0_2601,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(X2,X3),X4)),c_Set_Oimage(tc_prod(X5,X6),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X1),X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X6)),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X3),X4)),X7)) ),
c_0_1757,
[final] ).
cnf(c_0_2602,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hAPP(X4,X2) != hAPP(X4,X3) ),
c_0_1758,
[final] ).
cnf(c_0_2603,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| ~ hBOOL(hAPP(X3,c_List_Onth(X2,X4,esk100_4(X4,X2,X3,X1)))) ),
c_0_1759,
[final] ).
cnf(c_0_2604,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4)) ),
c_0_1760,
[final] ).
cnf(c_0_2605,plain,
( hBOOL(hAPP(hAPP(c_member(X3),esk83_4(X5,X4,X3,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
c_0_1761,
[final] ).
cnf(c_0_2606,plain,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
c_0_1762,
[final] ).
cnf(c_0_2607,plain,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
c_0_1763,
[final] ).
cnf(c_0_2608,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X5 != X1 ),
c_0_1764,
[final] ).
cnf(c_0_2609,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1)) ),
c_0_1765,
[final] ).
cnf(c_0_2610,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1766,
[final] ).
cnf(c_0_2611,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk78_3(X3,X2,X1)),esk79_3(X3,X2,X1))),X3)) ),
c_0_1767,
[final] ).
cnf(c_0_2612,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk78_3(X3,X2,X1)),esk80_3(X3,X2,X1))),X3)) ),
c_0_1768,
[final] ).
cnf(c_0_2613,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk50_3(X3,X2,X1)),esk51_3(X3,X2,X1))),X3)) ),
c_0_1769,
[final] ).
cnf(c_0_2614,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),esk50_3(X3,X2,X1)),esk52_3(X3,X2,X1))),X3)) ),
c_0_1770,
[final] ).
cnf(c_0_2615,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hAPP(X4,X2) = hAPP(X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
c_0_1771,
[final] ).
cnf(c_0_2616,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
c_0_1772,
[final] ).
cnf(c_0_2617,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
c_0_1773,
[final] ).
cnf(c_0_2618,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
c_0_1774,
[final] ).
cnf(c_0_2619,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1775,
[final] ).
cnf(c_0_2620,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
c_0_1776,
[final] ).
cnf(c_0_2621,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
c_0_1777,
[final] ).
cnf(c_0_2622,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1778,
[final] ).
cnf(c_0_2623,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
c_0_1779,
[final] ).
cnf(c_0_2624,plain,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
c_0_1780,
[final] ).
cnf(c_0_2625,plain,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
c_0_1781,
[final] ).
cnf(c_0_2626,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X2 ),
c_0_1782,
[final] ).
cnf(c_0_2627,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X1)),X3),c_FuncSet_OPi(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X5)))) ),
c_0_1783,
[final] ).
cnf(c_0_2628,plain,
( c_Set_Oimage(X3,X1,X4,esk93_5(X5,X4,X3,X2,X1)) = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
c_0_1784,
[final] ).
cnf(c_0_2629,plain,
( hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_fun(X7,tc_HOL_Obool)),X1),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X2),X3)),X4)) ),
c_0_1785,
[final] ).
cnf(c_0_2630,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk19_1(X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk18_1(X1)))) ),
c_0_1786,
[final] ).
cnf(c_0_2631,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
c_0_1787,
[final] ).
cnf(c_0_2632,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1788,
[final] ).
cnf(c_0_2633,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
c_0_1789,
[final] ).
cnf(c_0_2634,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
c_0_1790,
[final] ).
cnf(c_0_2635,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
c_0_1791,
[final] ).
cnf(c_0_2636,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
c_0_1792,
[final] ).
cnf(c_0_2637,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))),c_Product__Type_OSigma(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))) = c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5)),
c_0_1793,
[final] ).
cnf(c_0_2638,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X5,X4)))) ),
c_0_1794,
[final] ).
cnf(c_0_2639,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),esk93_5(X5,X4,X3,X2,X1),X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
c_0_1795,
[final] ).
cnf(c_0_2640,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
c_0_1796,
[final] ).
cnf(c_0_2641,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
c_0_1797,
[final] ).
cnf(c_0_2642,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,esk94_4(X4,X3,X2,X1)),hAPP(X4,esk94_4(X4,X3,X2,X1))) ),
c_0_1798,
[final] ).
cnf(c_0_2643,plain,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
c_0_1799,
[final] ).
cnf(c_0_2644,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X2)),c_Product__Type_OSigma(X5,X1,X6,X3))) ),
c_0_1800,
[final] ).
cnf(c_0_2645,plain,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
c_0_1801,
[final] ).
cnf(c_0_2646,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
c_0_1802,
[final] ).
cnf(c_0_2647,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
c_0_1803,
[final] ).
cnf(c_0_2648,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),c_Product__Type_OSigma(X1,X4,X3,X6))) ),
c_0_1804,
[final] ).
cnf(c_0_2649,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
c_0_1805,
[final] ).
cnf(c_0_2650,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X2 = X4
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5))) ),
c_0_1806,
[final] ).
cnf(c_0_2651,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))) ),
c_0_1807,
[final] ).
cnf(c_0_2652,plain,
( hAPP(hAPP(c_List_Olist_OCons(X2),esk26_3(X3,X1,X2)),esk27_3(X3,X1,X2)) = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olexord(X2,X3))) ),
c_0_1808,
[final] ).
cnf(c_0_2653,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1809,
[final] ).
cnf(c_0_2654,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1810,
[final] ).
cnf(c_0_2655,plain,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X6)) ),
c_0_1811,
[final] ).
cnf(c_0_2656,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
c_0_1812,
[final] ).
cnf(c_0_2657,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
c_0_1813,
[final] ).
cnf(c_0_2658,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))
| ~ c_FunDef_Oin__rel(X1,X2,X5,X3,X4) ),
c_0_1814,
[final] ).
cnf(c_0_2659,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
c_0_1815,
[final] ).
cnf(c_0_2660,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
c_0_1816,
[final] ).
cnf(c_0_2661,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk62_3(X3,X2,X1)),X2)),X3)) ),
c_0_1817,
[final] ).
cnf(c_0_2662,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk61_3(X3,X2,X1)),X2)),X3)) ),
c_0_1818,
[final] ).
cnf(c_0_2663,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk55_3(X3,X2,X1)),X2)),X3)) ),
c_0_1819,
[final] ).
cnf(c_0_2664,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X5 ),
c_0_1820,
[final] ).
cnf(c_0_2665,plain,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X1,X2),X3,X2),X4)),c_Product__Type_OPair(X1,X2))) = X4,
c_0_1821,
[final] ).
cnf(c_0_2666,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))) ),
c_0_1822,
[final] ).
cnf(c_0_2667,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk19_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk18_1(X1),X2))) ),
c_0_1823,
[final] ).
cnf(c_0_2668,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk18_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(esk19_1(X1),X2))) ),
c_0_1824,
[final] ).
cnf(c_0_2669,plain,
( c_FunDef_Oin__rel(X1,X2,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)),X3)) ),
c_0_1825,
[final] ).
cnf(c_0_2670,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olistrel(X2,X3))) ),
c_0_1826,
[final] ).
cnf(c_0_2671,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olistrel1(X1,X3))),
c_0_1827,
[final] ).
cnf(c_0_2672,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olex(X1,X3))),
c_0_1828,
[final] ).
cnf(c_0_2673,plain,
( X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1829,
[final] ).
cnf(c_0_2674,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_ONil(X2))),c_List_Olistrel(X2,X3))) ),
c_0_1830,
[final] ).
cnf(c_0_2675,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olistrel1(X1,X3))),
c_0_1831,
[final] ).
cnf(c_0_2676,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olex(X1,X3))),
c_0_1832,
[final] ).
cnf(c_0_2677,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olexord(X1,X3))),
c_0_1833,
[final] ).
cnf(c_0_2678,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Product__Type_OSigma(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olists(X1,X3),c_COMBK(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_List_Olist(X1),c_List_Olists(X1,X3))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3))) ),
c_0_1834,
[final] ).
cnf(c_0_2679,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X5 ),
c_0_1835,
[final] ).
cnf(c_0_2680,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
c_0_1836,
[final] ).
cnf(c_0_2681,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
c_0_1837,
[final] ).
cnf(c_0_2682,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
c_0_1838,
[final] ).
cnf(c_0_2683,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
c_0_1839,
[final] ).
cnf(c_0_2684,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1840,
[final] ).
cnf(c_0_2685,plain,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),esk33_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_1841,
[final] ).
cnf(c_0_2686,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),esk4_3(X4,X3,X1)),esk5_3(X4,X3,X1)))) ),
c_0_1842,
[final] ).
cnf(c_0_2687,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3),X4),X5))
| ~ hBOOL(hAPP(X3,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5))) ),
c_0_1843,
[final] ).
cnf(c_0_2688,plain,
c_Set_Oimage(tc_prod(X1,X2),tc_prod(X2,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X2,X1)),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1))),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X4))) = c_Product__Type_OSigma(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X3)),
c_0_1844,
[final] ).
cnf(c_0_2689,plain,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk90_2(X2,X1)),esk92_2(X2,X1))),X2)) ),
c_0_1845,
[final] ).
cnf(c_0_2690,plain,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk46_2(X2,X1)),esk48_2(X2,X1))),X2)) ),
c_0_1846,
[final] ).
cnf(c_0_2691,plain,
( c_Nitpick_Orefl_H(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk2_2(X2,X1)),esk2_2(X2,X1))),X2)) ),
c_0_1847,
[final] ).
cnf(c_0_2692,plain,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
c_0_1848,
[final] ).
cnf(c_0_2693,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),esk33_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_1849,
[final] ).
cnf(c_0_2694,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X7))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,X6),X7))) ),
c_0_1850,
[final] ).
cnf(c_0_2695,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Oappend(X1),X2),X3))),c_List_Olexord(X1,X4)))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6) ),
c_0_1851,
[final] ).
cnf(c_0_2696,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ORange(X2,X1,X3)),c_Relation_ORange(X2,X1,X4))),
c_0_1852,
[final] ).
cnf(c_0_2697,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ODomain(X1,X2,X3)),c_Relation_ODomain(X1,X2,X4))),
c_0_1853,
[final] ).
cnf(c_0_2698,plain,
( ~ hBOOL(hAPP(X1,c_List_Onth(X2,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X3)) ),
c_0_1854,
[final] ).
cnf(c_0_2699,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
c_0_1855,
[final] ).
cnf(c_0_2700,plain,
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X1,X4,X3,X6))) ),
c_0_1856,
[final] ).
cnf(c_0_2701,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
c_0_1857,
[final] ).
cnf(c_0_2702,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
c_0_1858,
[final] ).
cnf(c_0_2703,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)) ),
c_0_1859,
[final] ).
cnf(c_0_2704,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1860,
[final] ).
cnf(c_0_2705,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1861,
[final] ).
cnf(c_0_2706,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
c_0_1862,
[final] ).
cnf(c_0_2707,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
c_0_1863,
[final] ).
cnf(c_0_2708,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X5)),c_Product__Type_OSigma(X1,X2,X4,X5)) = c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),X5),
c_0_1864,
[final] ).
cnf(c_0_2709,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
c_0_1865,
[final] ).
cnf(c_0_2710,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
c_0_1866,
[final] ).
cnf(c_0_2711,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
c_0_1867,
[final] ).
cnf(c_0_2712,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
c_0_1868,
[final] ).
cnf(c_0_2713,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk96_4(X4,X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
c_0_1869,
[final] ).
cnf(c_0_2714,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
c_0_1870,
[final] ).
cnf(c_0_2715,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1))) ),
c_0_1871,
[final] ).
cnf(c_0_2716,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk19_1(X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk20_1(X1)),esk21_1(X1))),hAPP(X1,esk18_1(X1)))) ),
c_0_1872,
[final] ).
cnf(c_0_2717,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X1),X2),X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1873,
[final] ).
cnf(c_0_2718,plain,
( hAPP(X4,esk83_4(X5,X4,X3,X2)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
c_0_1874,
[final] ).
cnf(c_0_2719,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
c_0_1875,
[final] ).
cnf(c_0_2720,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
c_0_1876,
[final] ).
cnf(c_0_2721,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
c_0_1877,
[final] ).
cnf(c_0_2722,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
c_0_1878,
[final] ).
cnf(c_0_2723,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1879,
[final] ).
cnf(c_0_2724,plain,
( hAPP(X1,X2) = hAPP(X2,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
c_0_1880,
[final] ).
cnf(c_0_2725,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
c_0_1881,
[final] ).
cnf(c_0_2726,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
c_0_1882,
[final] ).
cnf(c_0_2727,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
c_0_1883,
[final] ).
cnf(c_0_2728,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1884,
[final] ).
cnf(c_0_2729,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1885,
[final] ).
cnf(c_0_2730,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))))),
c_0_1886,
[final] ).
cnf(c_0_2731,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
c_0_1887,
[final] ).
cnf(c_0_2732,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6) ),
c_0_1888,
[final] ).
cnf(c_0_2733,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1889,
[final] ).
cnf(c_0_2734,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
c_0_1890,
[final] ).
cnf(c_0_2735,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
c_0_1891,
[final] ).
cnf(c_0_2736,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
c_0_1892,
[final] ).
cnf(c_0_2737,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
c_0_1893,
[final] ).
cnf(c_0_2738,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2)))),
c_0_1894,
[final] ).
cnf(c_0_2739,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olexord(X1,X3)))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_1895,
[final] ).
cnf(c_0_2740,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1))),c_List_Olistrel(X1,X2))),
c_0_1896,
[final] ).
cnf(c_0_2741,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
c_0_1897,
[final] ).
cnf(c_0_2742,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),c_Wellfounded_Omeasure(X4,X1))) ),
c_0_1898,
[final] ).
cnf(c_0_2743,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X3)))),
c_0_1899,
[final] ).
cnf(c_0_2744,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X1)),esk16_1(X1))),hAPP(X1,esk14_1(X1)))) ),
c_0_1900,
[final] ).
cnf(c_0_2745,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
c_0_1901,
[final] ).
cnf(c_0_2746,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk90_2(X2,X1)),esk91_2(X2,X1))),X2)) ),
c_0_1902,
[final] ).
cnf(c_0_2747,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk91_2(X2,X1)),esk92_2(X2,X1))),X2)) ),
c_0_1903,
[final] ).
cnf(c_0_2748,plain,
( c_Relation_Oirrefl(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk49_2(X2,X1)),esk49_2(X2,X1))),X2)) ),
c_0_1904,
[final] ).
cnf(c_0_2749,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk46_2(X2,X1)),esk47_2(X2,X1))),X2)) ),
c_0_1905,
[final] ).
cnf(c_0_2750,plain,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk47_2(X2,X1)),esk48_2(X2,X1))),X2)) ),
c_0_1906,
[final] ).
cnf(c_0_2751,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Relation_Oirrefl(X1,X3) ),
c_0_1907,
[final] ).
cnf(c_0_2752,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1908,
[final] ).
cnf(c_0_2753,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1909,
[final] ).
cnf(c_0_2754,plain,
( c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),c_List_Olast(X1,X2))),X2) = c_List_Obutlast(X1,X2)
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1910,
[final] ).
cnf(c_0_2755,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_1911,
[final] ).
cnf(c_0_2756,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4))) ),
c_0_1912,
[final] ).
cnf(c_0_2757,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X2
| X2 != X4 ),
c_0_1913,
[final] ).
cnf(c_0_2758,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X2
| X1 != X4 ),
c_0_1914,
[final] ).
cnf(c_0_2759,plain,
c_Set_Oimage(X1,X2,X3,c_Set_Oimage(X4,X1,X5,X6)) = c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5),X6),
c_0_1915,
[final] ).
cnf(c_0_2760,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X4 ),
c_0_1916,
[final] ).
cnf(c_0_2761,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 != X4 ),
c_0_1917,
[final] ).
cnf(c_0_2762,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
c_0_1918,
[final] ).
cnf(c_0_2763,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,tc_HOL_Obool),X1),hAPP(hAPP(c_Product__Type_OPair(X4,X5),X2),X3))) ),
c_0_1919,
[final] ).
cnf(c_0_2764,plain,
( X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Product__Type_OSigma(X6,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) != c_Product__Type_OSigma(X6,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) ),
c_0_1920,
[final] ).
cnf(c_0_2765,plain,
c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
c_0_1921,
[final] ).
cnf(c_0_2766,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1922,
[final] ).
cnf(c_0_2767,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| X2 != X4 ),
c_0_1923,
[final] ).
cnf(c_0_2768,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk22_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf)) ),
c_0_1924,
[final] ).
cnf(c_0_2769,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
c_0_1925,
[final] ).
cnf(c_0_2770,plain,
c_List_Olist_Olist__case(X1,X2,X3,X4,hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
c_0_1926,
[final] ).
cnf(c_0_2771,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk18_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
c_0_1927,
[final] ).
cnf(c_0_2772,plain,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk19_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
c_0_1928,
[final] ).
cnf(c_0_2773,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),esk14_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
c_0_1929,
[final] ).
cnf(c_0_2774,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
c_0_1930,
[final] ).
cnf(c_0_2775,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
c_0_1931,
[final] ).
cnf(c_0_2776,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| X2 != hAPP(X4,X6) ),
c_0_1932,
[final] ).
cnf(c_0_2777,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
c_0_1933,
[final] ).
cnf(c_0_2778,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
c_0_1934,
[final] ).
cnf(c_0_2779,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))) ),
c_0_1935,
[final] ).
cnf(c_0_2780,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
c_0_1936,
[final] ).
cnf(c_0_2781,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
c_0_1937,
[final] ).
cnf(c_0_2782,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omeasure(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
c_0_1938,
[final] ).
cnf(c_0_2783,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X5,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3) ),
c_0_1939,
[final] ).
cnf(c_0_2784,plain,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
c_0_1940,
[final] ).
cnf(c_0_2785,plain,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
c_0_1941,
[final] ).
cnf(c_0_2786,plain,
c_List_Olist_Olist__case(X1,X2,X3,X4,c_List_Olist_ONil(X2)) = X3,
c_0_1942,
[final] ).
cnf(c_0_2787,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),c_Set_Oimage(X2,X1,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X5) ),
c_0_1943,
[final] ).
cnf(c_0_2788,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
c_0_1944,
[final] ).
cnf(c_0_2789,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
c_0_1945,
[final] ).
cnf(c_0_2790,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
c_0_1946,
[final] ).
cnf(c_0_2791,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))) ),
c_0_1947,
[final] ).
cnf(c_0_2792,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
c_0_1948,
[final] ).
cnf(c_0_2793,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
c_0_1949,
[final] ).
cnf(c_0_2794,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
c_0_1950,
[final] ).
cnf(c_0_2795,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
c_0_1951,
[final] ).
cnf(c_0_2796,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
c_0_1952,
[final] ).
cnf(c_0_2797,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)),
c_0_1953,
[final] ).
cnf(c_0_2798,plain,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk15_1(X1)),esk16_1(X1))),hAPP(esk14_1(X1),X2))) ),
c_0_1954,
[final] ).
cnf(c_0_2799,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
c_0_1955,
[final] ).
cnf(c_0_2800,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk65_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
c_0_1956,
[final] ).
cnf(c_0_2801,plain,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X2) ),
c_0_1957,
[final] ).
cnf(c_0_2802,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),c_Transitive__Closure_Ortrancl(X1,X3))),
c_0_1958,
[final] ).
cnf(c_0_2803,plain,
( c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X2),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk9_2(X2,X1)),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt)))))
| X1 = X2 ),
c_0_1959,
[final] ).
cnf(c_0_2804,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| X2 != c_Set_Oimage(X3,X1,X4,X6)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X6,X5) ),
c_0_1960,
[final] ).
cnf(c_0_2805,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk62_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1961,
[final] ).
cnf(c_0_2806,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk61_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1962,
[final] ).
cnf(c_0_2807,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),esk55_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
c_0_1963,
[final] ).
cnf(c_0_2808,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
c_0_1964,
[final] ).
cnf(c_0_2809,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Nitpick_Orefl_H(X1,X3) ),
c_0_1965,
[final] ).
cnf(c_0_2810,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
c_0_1966,
[final] ).
cnf(c_0_2811,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
c_0_1967,
[final] ).
cnf(c_0_2812,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk100_4(X4,X2,X3,X1),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
c_0_1968,
[final] ).
cnf(c_0_2813,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
c_0_1969,
[final] ).
cnf(c_0_2814,plain,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
c_0_1970,
[final] ).
cnf(c_0_2815,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X1),esk65_3(X3,X2,X1)),esk65_3(X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
c_0_1971,
[final] ).
cnf(c_0_2816,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2)) ),
c_0_1972,
[final] ).
cnf(c_0_2817,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2)) ),
c_0_1973,
[final] ).
cnf(c_0_2818,plain,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
c_0_1974,
[final] ).
cnf(c_0_2819,plain,
( hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
c_0_1975,
[final] ).
cnf(c_0_2820,plain,
( c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) = c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X5 != X6 ),
c_0_1976,
[final] ).
cnf(c_0_2821,plain,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
c_0_1977,
[final] ).
cnf(c_0_2822,plain,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
c_0_1978,
[final] ).
cnf(c_0_2823,plain,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),esk64_3(X3,X2,X1)),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
c_0_1979,
[final] ).
cnf(c_0_2824,plain,
( c_List_Olistrelp(X1,X2,X4,X6)
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
c_0_1980,
[final] ).
cnf(c_0_2825,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| X2 != X4 ),
c_0_1981,
[final] ).
cnf(c_0_2826,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| X2 != X4 ),
c_0_1982,
[final] ).
cnf(c_0_2827,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| X1 != X4 ),
c_0_1983,
[final] ).
cnf(c_0_2828,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| X1 != X4 ),
c_0_1984,
[final] ).
cnf(c_0_2829,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2))),
c_0_1985,
[final] ).
cnf(c_0_2830,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),esk25_2(X2,X1))) ),
c_0_1986,
[final] ).
cnf(c_0_2831,plain,
c_List_Omaps(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Oappend(X2),hAPP(X3,X4)),c_List_Omaps(X1,X2,X3,X5)),
c_0_1987,
[final] ).
cnf(c_0_2832,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
c_0_1988,
[final] ).
cnf(c_0_2833,plain,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(X1),esk63_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
c_0_1989,
[final] ).
cnf(c_0_2834,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3)) ),
c_0_1990,
[final] ).
cnf(c_0_2835,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)),
c_0_1991,
[final] ).
cnf(c_0_2836,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3)))) ),
c_0_1992,
[final] ).
cnf(c_0_2837,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3)))) ),
c_0_1993,
[final] ).
cnf(c_0_2838,plain,
( hBOOL(hAPP(hAPP(X2,X3),X5))
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
c_0_1994,
[final] ).
cnf(c_0_2839,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
c_0_1995,
[final] ).
cnf(c_0_2840,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(X1,esk3_3(X3,X2,X1))) ),
c_0_1996,
[final] ).
cnf(c_0_2841,plain,
( c_Relation_Otrans(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X1,X2) ),
c_0_1997,
[final] ).
cnf(c_0_2842,plain,
( c_List_OdropWhile(X1,X2,X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hBOOL(hAPP(X2,X4))
| hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) != X3 ),
c_0_1998,
[final] ).
cnf(c_0_2843,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),esk25_2(X2,X1)),c_Arrow__Order__Mirabelle_OLin)) ),
c_0_1999,
[final] ).
cnf(c_0_2844,plain,
( hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)
| X2 != X3 ),
c_0_2000,
[final] ).
cnf(c_0_2845,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),esk63_3(X3,X2,X1)),esk64_3(X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
c_0_2001,
[final] ).
cnf(c_0_2846,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_2002,
[final] ).
cnf(c_0_2847,plain,
( c_List_Onth(X1,c_List_OtakeWhile(X1,X2,X3),X4) = c_List_Onth(X1,X3,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3))) ),
c_0_2003,
[final] ).
cnf(c_0_2848,plain,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),c_List_Osplice(X1,X3,X5))),
c_0_2004,
[final] ).
cnf(c_0_2849,plain,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),esk6_0),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
c_0_2005,
[final] ).
cnf(c_0_2850,plain,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
c_0_2006,
[final] ).
cnf(c_0_2851,plain,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),c_Product__Type_Ocurry(X1,X2,X3,X4)) = X4,
c_0_2007,
[final] ).
cnf(c_0_2852,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2008,
[final] ).
cnf(c_0_2853,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,esk60_3(X3,X2,X1)),X3)) ),
c_0_2009,
[final] ).
cnf(c_0_2854,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,esk59_3(X3,X2,X1)),X3)) ),
c_0_2010,
[final] ).
cnf(c_0_2855,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
c_0_2011,
[final] ).
cnf(c_0_2856,plain,
( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
| ~ c_Relation_Otrans(X2,X4)
| ~ c_Relation_Otrans(X1,X3) ),
c_0_2012,
[final] ).
cnf(c_0_2857,plain,
( hBOOL(hAPP(hAPP(X1,esk58_2(X2,X1)),X2))
| ~ c_Predicate_ORangeP(X3,X4,X1,X2) ),
c_0_2013,
[final] ).
cnf(c_0_2858,plain,
( X1 = X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| c_List_Onth(X3,X1,esk97_3(X3,X2,X1)) != c_List_Onth(X3,X2,esk97_3(X3,X2,X1)) ),
c_0_2014,
[final] ).
cnf(c_0_2859,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),
c_0_2015,
[final] ).
cnf(c_0_2860,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olistsp(X1,X2)),c_List_Olistsp(X1,X3)) = c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),
c_0_2016,
[final] ).
cnf(c_0_2861,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
c_0_2017,
[final] ).
cnf(c_0_2862,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
c_0_2018,
[final] ).
cnf(c_0_2863,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk60_3(X3,X2,X1))) ),
c_0_2019,
[final] ).
cnf(c_0_2864,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),esk59_3(X3,X2,X1))) ),
c_0_2020,
[final] ).
cnf(c_0_2865,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
c_0_2021,
[final] ).
cnf(c_0_2866,plain,
( hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = X3
| c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_2022,
[final] ).
cnf(c_0_2867,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
c_0_2023,
[final] ).
cnf(c_0_2868,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
c_0_2024,
[final] ).
cnf(c_0_2869,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
c_0_2025,
[final] ).
cnf(c_0_2870,plain,
( X2 = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
c_0_2026,
[final] ).
cnf(c_0_2871,plain,
( X3 = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
c_0_2027,
[final] ).
cnf(c_0_2872,plain,
( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X5) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X6)
| X5 != X6 ),
c_0_2028,
[final] ).
cnf(c_0_2873,plain,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),esk81_3(X3,X2,X1)),esk82_3(X3,X2,X1)) = X3
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
c_0_2029,
[final] ).
cnf(c_0_2874,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
c_0_2030,
[final] ).
cnf(c_0_2875,plain,
c_Product__Type_Ocurry(X1,X2,X3,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4)) = X4,
c_0_2031,
[final] ).
cnf(c_0_2876,plain,
( X3 = X4
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2) ),
c_0_2032,
[final] ).
cnf(c_0_2877,plain,
( X3 = X4
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
c_0_2033,
[final] ).
cnf(c_0_2878,plain,
( hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
c_0_2034,
[final] ).
cnf(c_0_2879,plain,
( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
c_0_2035,
[final] ).
cnf(c_0_2880,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
c_0_2036,
[final] ).
cnf(c_0_2881,plain,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
c_0_2037,
[final] ).
cnf(c_0_2882,plain,
hAPP(hAPP(c_Product__Type_Ointernal__split(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
c_0_2038,
[final] ).
cnf(c_0_2883,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_2039,
[final] ).
cnf(c_0_2884,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X3)) ),
c_0_2040,
[final] ).
cnf(c_0_2885,plain,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
c_0_2041,
[final] ).
cnf(c_0_2886,plain,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
c_0_2042,
[final] ).
cnf(c_0_2887,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))) = c_List_OtakeWhile(X1,X2,X3)
| hBOOL(hAPP(X2,X4)) ),
c_0_2043,
[final] ).
cnf(c_0_2888,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2044,
[final] ).
cnf(c_0_2889,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,X2),c_List_Olistrel1(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
c_0_2045,
[final] ).
cnf(c_0_2890,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_List_Olistrel(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
c_0_2046,
[final] ).
cnf(c_0_2891,plain,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(c_List_Olistsp(X1,X2),esk82_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
c_0_2047,
[final] ).
cnf(c_0_2892,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
c_0_2048,
[final] ).
cnf(c_0_2893,plain,
( c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| X3 != X4 ),
c_0_2049,
[final] ).
cnf(c_0_2894,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2050,
[final] ).
cnf(c_0_2895,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
c_0_2051,
[final] ).
cnf(c_0_2896,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2052,
[final] ).
cnf(c_0_2897,plain,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
c_0_2053,
[final] ).
cnf(c_0_2898,plain,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
c_0_2054,
[final] ).
cnf(c_0_2899,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
c_0_2055,
[final] ).
cnf(c_0_2900,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
| ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
c_0_2056,
[final] ).
cnf(c_0_2901,plain,
c_List_Onth(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) = X3,
c_0_2057,
[final] ).
cnf(c_0_2902,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
c_0_2058,
[final] ).
cnf(c_0_2903,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
c_0_2059,
[final] ).
cnf(c_0_2904,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
c_0_2060,
[final] ).
cnf(c_0_2905,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
c_0_2061,
[final] ).
cnf(c_0_2906,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
c_0_2062,
[final] ).
cnf(c_0_2907,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
c_0_2063,
[final] ).
cnf(c_0_2908,plain,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_2064,
[final] ).
cnf(c_0_2909,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
c_0_2065,
[final] ).
cnf(c_0_2910,plain,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,esk81_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
c_0_2066,
[final] ).
cnf(c_0_2911,plain,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
c_0_2067,
[final] ).
cnf(c_0_2912,plain,
( c_Predicate_ODomainP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
c_0_2068,
[final] ).
cnf(c_0_2913,plain,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
c_0_2069,
[final] ).
cnf(c_0_2914,plain,
hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),c_List_OdropWhile(X1,X2,X3)) = X3,
c_0_2070,
[final] ).
cnf(c_0_2915,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_OtakeWhile(X1,X2,X4))
| ~ hBOOL(hAPP(X2,X3)) ),
c_0_2071,
[final] ).
cnf(c_0_2916,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X3),
c_0_2072,
[final] ).
cnf(c_0_2917,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X2),
c_0_2073,
[final] ).
cnf(c_0_2918,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
c_0_2074,
[final] ).
cnf(c_0_2919,plain,
c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X2,
c_0_2075,
[final] ).
cnf(c_0_2920,plain,
c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X3,
c_0_2076,
[final] ).
cnf(c_0_2921,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| ~ c_Relation_Osingle__valued(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
c_0_2077,
[final] ).
cnf(c_0_2922,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X5))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
c_0_2078,
[final] ).
cnf(c_0_2923,plain,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_2079,
[final] ).
cnf(c_0_2924,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OdropWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
c_0_2080,
[final] ).
cnf(c_0_2925,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
c_0_2081,
[final] ).
cnf(c_0_2926,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
c_0_2082,
[final] ).
cnf(c_0_2927,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
c_0_2083,
[final] ).
cnf(c_0_2928,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
c_0_2084,
[final] ).
cnf(c_0_2929,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X3 != X5
| X2 != X4 ),
c_0_2085,
[final] ).
cnf(c_0_2930,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2086,
[final] ).
cnf(c_0_2931,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2087,
[final] ).
cnf(c_0_2932,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2088,
[final] ).
cnf(c_0_2933,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
c_0_2089,
[final] ).
cnf(c_0_2934,plain,
( hAPP(hAPP(c_List_Oappend(X1),c_List_Obutlast(X1,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),c_List_Olast(X1,X2)),c_List_Olist_ONil(X1))) = X2
| X2 = c_List_Olist_ONil(X1) ),
c_0_2090,
[final] ).
cnf(c_0_2935,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oaccp(X1,X2),c_Wellfounded_Oaccp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X3,X2) ),
c_0_2091,
[final] ).
cnf(c_0_2936,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
c_0_2092,
[final] ).
cnf(c_0_2937,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
c_0_2093,
[final] ).
cnf(c_0_2938,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
c_0_2094,
[final] ).
cnf(c_0_2939,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
c_0_2095,
[final] ).
cnf(c_0_2940,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
c_0_2096,
[final] ).
cnf(c_0_2941,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2097,
[final] ).
cnf(c_0_2942,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
c_0_2098,
[final] ).
cnf(c_0_2943,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2099,
[final] ).
cnf(c_0_2944,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
c_0_2100,
[final] ).
cnf(c_0_2945,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
c_0_2101,
[final] ).
cnf(c_0_2946,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
c_0_2102,
[final] ).
cnf(c_0_2947,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
c_0_2103,
[final] ).
cnf(c_0_2948,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
c_0_2104,
[final] ).
cnf(c_0_2949,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
c_0_2105,
[final] ).
cnf(c_0_2950,plain,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
c_0_2106,
[final] ).
cnf(c_0_2951,plain,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
c_0_2107,
[final] ).
cnf(c_0_2952,plain,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
c_0_2108,
[final] ).
cnf(c_0_2953,plain,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
c_0_2109,
[final] ).
cnf(c_0_2954,plain,
( X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X1),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
c_0_2110,
[final] ).
cnf(c_0_2955,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
c_0_2111,
[final] ).
cnf(c_0_2956,plain,
hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1))) = c_List_Orotate1(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),
c_0_2112,
[final] ).
cnf(c_0_2957,plain,
( c_List_Obutlast(X1,X4) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
c_0_2113,
[final] ).
cnf(c_0_2958,plain,
( c_List_Olast(X1,X4) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
c_0_2114,
[final] ).
cnf(c_0_2959,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
c_0_2115,
[final] ).
cnf(c_0_2960,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
c_0_2116,
[final] ).
cnf(c_0_2961,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),X4)) ),
c_0_2117,
[final] ).
cnf(c_0_2962,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X4)) ),
c_0_2118,
[final] ).
cnf(c_0_2963,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| X2 != X4 ),
c_0_2119,
[final] ).
cnf(c_0_2964,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
c_0_2120,
[final] ).
cnf(c_0_2965,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
c_0_2121,
[final] ).
cnf(c_0_2966,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
c_0_2122,
[final] ).
cnf(c_0_2967,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
c_0_2123,
[final] ).
cnf(c_0_2968,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
c_0_2124,
[final] ).
cnf(c_0_2969,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6) ),
c_0_2125,
[final] ).
cnf(c_0_2970,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
c_0_2126,
[final] ).
cnf(c_0_2971,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Oappend(X1),X4),X6) ),
c_0_2127,
[final] ).
cnf(c_0_2972,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
c_0_2128,
[final] ).
cnf(c_0_2973,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
c_0_2129,
[final] ).
cnf(c_0_2974,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4
| X4 != c_List_Olist_ONil(X1) ),
c_0_2130,
[final] ).
cnf(c_0_2975,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
c_0_2131,
[final] ).
cnf(c_0_2976,plain,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_2132,
[final] ).
cnf(c_0_2977,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
c_0_2133,
[final] ).
cnf(c_0_2978,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2134,
[final] ).
cnf(c_0_2979,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk97_3(X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
c_0_2135,
[final] ).
cnf(c_0_2980,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olists(X1,X2),c_List_Olists(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2136,
[final] ).
cnf(c_0_2981,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olistsp(X1,X2),c_List_Olistsp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2137,
[final] ).
cnf(c_0_2982,plain,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
c_0_2138,
[final] ).
cnf(c_0_2983,plain,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
c_0_2139,
[final] ).
cnf(c_0_2984,plain,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
c_0_2140,
[final] ).
cnf(c_0_2985,plain,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_OdropWhile(X1,X2,X4)
| ~ hBOOL(hAPP(X2,X3)) ),
c_0_2141,
[final] ).
cnf(c_0_2986,plain,
c_List_Omaps(X1,X2,X3,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X2),
c_0_2142,
[final] ).
cnf(c_0_2987,plain,
( c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4)
| X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1)) ),
c_0_2143,
[final] ).
cnf(c_0_2988,plain,
c_Set_Oimage(X1,X1,c_COMBI(X1),X2) = X2,
c_0_2144,
[final] ).
cnf(c_0_2989,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2145,
[final] ).
cnf(c_0_2990,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2146,
[final] ).
cnf(c_0_2991,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2147,
[final] ).
cnf(c_0_2992,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2148,
[final] ).
cnf(c_0_2993,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
c_0_2149,
[final] ).
cnf(c_0_2994,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
c_0_2150,
[final] ).
cnf(c_0_2995,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2))) ),
c_0_2151,
[final] ).
cnf(c_0_2996,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
c_0_2152,
[final] ).
cnf(c_0_2997,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
c_0_2153,
[final] ).
cnf(c_0_2998,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
c_0_2154,
[final] ).
cnf(c_0_2999,plain,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)
| hBOOL(hAPP(X2,X3)) ),
c_0_2155,
[final] ).
cnf(c_0_3000,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2156,
[final] ).
cnf(c_0_3001,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2157,
[final] ).
cnf(c_0_3002,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2158,
[final] ).
cnf(c_0_3003,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2159,
[final] ).
cnf(c_0_3004,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2160,
[final] ).
cnf(c_0_3005,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2161,
[final] ).
cnf(c_0_3006,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2162,
[final] ).
cnf(c_0_3007,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2163,
[final] ).
cnf(c_0_3008,plain,
hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olists(X1,X2))),
c_0_2164,
[final] ).
cnf(c_0_3009,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| esk80_3(X3,X2,X1) != esk79_3(X3,X2,X1) ),
c_0_2165,
[final] ).
cnf(c_0_3010,plain,
( c_Relation_Osingle__valued(X1,X2,X3)
| esk52_3(X3,X2,X1) != esk51_3(X3,X2,X1) ),
c_0_2166,
[final] ).
cnf(c_0_3011,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
c_0_2167,
[final] ).
cnf(c_0_3012,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4
| X4 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,X4) != X3
| c_List_Obutlast(X1,X4) != X2 ),
c_0_2168,
[final] ).
cnf(c_0_3013,plain,
c_List_Opartition(X1,X2,c_List_Olist_ONil(X1)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1)),
c_0_2169,
[final] ).
cnf(c_0_3014,plain,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| X2 != c_List_Olist_ONil(X1) ),
c_0_2170,
[final] ).
cnf(c_0_3015,plain,
( c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_2171,
[final] ).
cnf(c_0_3016,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
c_0_2172,
[final] ).
cnf(c_0_3017,plain,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),c_List_Olist_ONil(X1)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),
c_0_2173,
[final] ).
cnf(c_0_3018,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2174,
[final] ).
cnf(c_0_3019,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
c_0_2175,
[final] ).
cnf(c_0_3020,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2176,
[final] ).
cnf(c_0_3021,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2177,
[final] ).
cnf(c_0_3022,plain,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2178,
[final] ).
cnf(c_0_3023,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
c_0_2179,
[final] ).
cnf(c_0_3024,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
| ~ hBOOL(hAPP(X4,X2)) ),
c_0_2180,
[final] ).
cnf(c_0_3025,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
c_0_2181,
[final] ).
cnf(c_0_3026,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2182,
[final] ).
cnf(c_0_3027,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2183,
[final] ).
cnf(c_0_3028,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
c_0_2184,
[final] ).
cnf(c_0_3029,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
c_0_2185,
[final] ).
cnf(c_0_3030,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
c_0_2186,
[final] ).
cnf(c_0_3031,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
c_0_2187,
[final] ).
cnf(c_0_3032,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X5
| X4 != c_List_Olist_ONil(X1) ),
c_0_2188,
[final] ).
cnf(c_0_3033,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != c_List_Olist_ONil(X1) ),
c_0_2189,
[final] ).
cnf(c_0_3034,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
c_0_2190,
[final] ).
cnf(c_0_3035,plain,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,X3)) ),
c_0_2191,
[final] ).
cnf(c_0_3036,plain,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X4 != X6
| X3 != X5 ),
c_0_2192,
[final] ).
cnf(c_0_3037,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
c_0_2193,
[final] ).
cnf(c_0_3038,plain,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2194,
[final] ).
cnf(c_0_3039,plain,
( X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
c_0_2195,
[final] ).
cnf(c_0_3040,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
c_0_2196,
[final] ).
cnf(c_0_3041,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
c_0_2197,
[final] ).
cnf(c_0_3042,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2198,
[final] ).
cnf(c_0_3043,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Oorder(X1) ),
c_0_2199,
[final] ).
cnf(c_0_3044,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2200,
[final] ).
cnf(c_0_3045,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2201,
[final] ).
cnf(c_0_3046,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2202,
[final] ).
cnf(c_0_3047,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
c_0_2203,
[final] ).
cnf(c_0_3048,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2204,
[final] ).
cnf(c_0_3049,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
c_0_2205,
[final] ).
cnf(c_0_3050,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
c_0_2206,
[final] ).
cnf(c_0_3051,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
c_0_2207,
[final] ).
cnf(c_0_3052,plain,
( c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,esk99_2(X2,X1)) = c_List_Onth(X1,X2,esk98_2(X2,X1)) ),
c_0_2208,
[final] ).
cnf(c_0_3053,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
c_0_2209,
[final] ).
cnf(c_0_3054,plain,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X4),X1) != hAPP(hAPP(c_List_Oappend(X3),X4),X2) ),
c_0_2210,
[final] ).
cnf(c_0_3055,plain,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X1),X4) != hAPP(hAPP(c_List_Oappend(X3),X2),X4) ),
c_0_2211,
[final] ).
cnf(c_0_3056,plain,
( X2 = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_2212,
[final] ).
cnf(c_0_3057,plain,
( X3 = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
c_0_2213,
[final] ).
cnf(c_0_3058,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
c_0_2214,
[final] ).
cnf(c_0_3059,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2215,
[final] ).
cnf(c_0_3060,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Olattice(X1) ),
c_0_2216,
[final] ).
cnf(c_0_3061,plain,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2217,
[final] ).
cnf(c_0_3062,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X3)))
| X2 != X3 ),
c_0_2218,
[final] ).
cnf(c_0_3063,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
c_0_2219,
[final] ).
cnf(c_0_3064,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2220,
[final] ).
cnf(c_0_3065,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
c_0_2221,
[final] ).
cnf(c_0_3066,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
c_0_2222,
[final] ).
cnf(c_0_3067,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
c_0_2223,
[final] ).
cnf(c_0_3068,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 != X2 ),
c_0_2224,
[final] ).
cnf(c_0_3069,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 != X2 ),
c_0_2225,
[final] ).
cnf(c_0_3070,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
c_0_2226,
[final] ).
cnf(c_0_3071,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
c_0_2227,
[final] ).
cnf(c_0_3072,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
c_0_2228,
[final] ).
cnf(c_0_3073,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2229,
[final] ).
cnf(c_0_3074,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2230,
[final] ).
cnf(c_0_3075,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2231,
[final] ).
cnf(c_0_3076,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
c_0_2232,
[final] ).
cnf(c_0_3077,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2233,
[final] ).
cnf(c_0_3078,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2234,
[final] ).
cnf(c_0_3079,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
c_0_2235,
[final] ).
cnf(c_0_3080,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2236,
[final] ).
cnf(c_0_3081,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2237,
[final] ).
cnf(c_0_3082,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2238,
[final] ).
cnf(c_0_3083,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2239,
[final] ).
cnf(c_0_3084,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
c_0_2240,
[final] ).
cnf(c_0_3085,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
c_0_2241,
[final] ).
cnf(c_0_3086,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
c_0_2242,
[final] ).
cnf(c_0_3087,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
c_0_2243,
[final] ).
cnf(c_0_3088,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2244,
[final] ).
cnf(c_0_3089,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2245,
[final] ).
cnf(c_0_3090,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2 ),
c_0_2246,
[final] ).
cnf(c_0_3091,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2) = X2,
c_0_2247,
[final] ).
cnf(c_0_3092,plain,
( c_List_Odistinct(X1,c_List_OdropWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
c_0_2248,
[final] ).
cnf(c_0_3093,plain,
( c_List_Odistinct(X1,c_List_OtakeWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
c_0_2249,
[final] ).
cnf(c_0_3094,plain,
( c_List_Odistinct(X1,c_List_Oinsert(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
c_0_2250,
[final] ).
cnf(c_0_3095,plain,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,esk22_2(X2,X1)) != hAPP(esk22_2(X2,X1),X2) ),
c_0_2251,
[final] ).
cnf(c_0_3096,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
c_0_2252,
[final] ).
cnf(c_0_3097,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
c_0_2253,
[final] ).
cnf(c_0_3098,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
c_0_2254,
[final] ).
cnf(c_0_3099,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Obutlast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
c_0_2255,
[final] ).
cnf(c_0_3100,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
c_0_2256,
[final] ).
cnf(c_0_3101,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
c_0_2257,
[final] ).
cnf(c_0_3102,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2258,
[final] ).
cnf(c_0_3103,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2259,
[final] ).
cnf(c_0_3104,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2260,
[final] ).
cnf(c_0_3105,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2261,
[final] ).
cnf(c_0_3106,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2262,
[final] ).
cnf(c_0_3107,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
c_0_2263,
[final] ).
cnf(c_0_3108,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
c_0_2264,
[final] ).
cnf(c_0_3109,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
c_0_2265,
[final] ).
cnf(c_0_3110,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
c_0_2266,
[final] ).
cnf(c_0_3111,plain,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk98_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
c_0_2267,
[final] ).
cnf(c_0_3112,plain,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk99_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
c_0_2268,
[final] ).
cnf(c_0_3113,plain,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1) ),
c_0_2269,
[final] ).
cnf(c_0_3114,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
c_0_2270,
[final] ).
cnf(c_0_3115,plain,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
c_0_2271,
[final] ).
cnf(c_0_3116,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
c_0_2272,
[final] ).
cnf(c_0_3117,plain,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
c_0_2273,
[final] ).
cnf(c_0_3118,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X2),X1)) ),
c_0_2274,
[final] ).
cnf(c_0_3119,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2)) ),
c_0_2275,
[final] ).
cnf(c_0_3120,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
c_0_2276,
[final] ).
cnf(c_0_3121,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
c_0_2277,
[final] ).
cnf(c_0_3122,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
c_0_2278,
[final] ).
cnf(c_0_3123,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2279,
[final] ).
cnf(c_0_3124,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
c_0_2280,
[final] ).
cnf(c_0_3125,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2281,
[final] ).
cnf(c_0_3126,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2282,
[final] ).
cnf(c_0_3127,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2283,
[final] ).
cnf(c_0_3128,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
c_0_2284,
[final] ).
cnf(c_0_3129,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)) = c_List_Oinsert(X1,X2,c_List_Olist_ONil(X1)),
c_0_2285,
[final] ).
cnf(c_0_3130,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2286,
[final] ).
cnf(c_0_3131,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2287,
[final] ).
cnf(c_0_3132,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2288,
[final] ).
cnf(c_0_3133,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2289,
[final] ).
cnf(c_0_3134,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2290,
[final] ).
cnf(c_0_3135,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2291,
[final] ).
cnf(c_0_3136,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
c_0_2292,
[final] ).
cnf(c_0_3137,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2293,
[final] ).
cnf(c_0_3138,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
c_0_2294,
[final] ).
cnf(c_0_3139,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2295,
[final] ).
cnf(c_0_3140,plain,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != X5
| X2 != X4 ),
c_0_2296,
[final] ).
cnf(c_0_3141,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
c_0_2297,
[final] ).
cnf(c_0_3142,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
c_0_2298,
[final] ).
cnf(c_0_3143,plain,
c_Product__Type_Oprod_Oprod__case(X1,X2,X3) = c_Product__Type_Ointernal__split(X1,X2,X3),
c_0_2299,
[final] ).
cnf(c_0_3144,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X2),X4)
| X3 != X4 ),
c_0_2300,
[final] ).
cnf(c_0_3145,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X3)
| X2 != X4 ),
c_0_2301,
[final] ).
cnf(c_0_3146,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
c_0_2302,
[final] ).
cnf(c_0_3147,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
c_0_2303,
[final] ).
cnf(c_0_3148,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
c_0_2304,
[final] ).
cnf(c_0_3149,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
c_0_2305,
[final] ).
cnf(c_0_3150,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
c_0_2306,
[final] ).
cnf(c_0_3151,plain,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
c_0_2307,
[final] ).
cnf(c_0_3152,plain,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
c_0_2308,
[final] ).
cnf(c_0_3153,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
c_0_2309,
[final] ).
cnf(c_0_3154,plain,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
c_0_2310,
[final] ).
cnf(c_0_3155,plain,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
c_0_2311,
[final] ).
cnf(c_0_3156,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
c_0_2312,
[final] ).
cnf(c_0_3157,plain,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
c_0_2313,
[final] ).
cnf(c_0_3158,plain,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
c_0_2314,
[final] ).
cnf(c_0_3159,plain,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
c_0_2315,
[final] ).
cnf(c_0_3160,plain,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2316,
[final] ).
cnf(c_0_3161,plain,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| X3 != c_List_Olist_ONil(X1) ),
c_0_2317,
[final] ).
cnf(c_0_3162,plain,
( hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
c_0_2318,
[final] ).
cnf(c_0_3163,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3 ),
c_0_2319,
[final] ).
cnf(c_0_3164,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3 ),
c_0_2320,
[final] ).
cnf(c_0_3165,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3 ),
c_0_2321,
[final] ).
cnf(c_0_3166,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3 ),
c_0_2322,
[final] ).
cnf(c_0_3167,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != c_List_Olist_ONil(X1),
c_0_2323,
[final] ).
cnf(c_0_3168,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != c_List_Olist_ONil(X1),
c_0_2324,
[final] ).
cnf(c_0_3169,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2325,
[final] ).
cnf(c_0_3170,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
c_0_2326,
[final] ).
cnf(c_0_3171,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
c_0_2327,
[final] ).
cnf(c_0_3172,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
c_0_2328,
[final] ).
cnf(c_0_3173,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
c_0_2329,
[final] ).
cnf(c_0_3174,plain,
c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)) = c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
c_0_2330,
[final] ).
cnf(c_0_3175,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
c_0_2331,
[final] ).
cnf(c_0_3176,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
c_0_2332,
[final] ).
cnf(c_0_3177,plain,
hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1) != X1,
c_0_2333,
[final] ).
cnf(c_0_3178,plain,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X3,
c_0_2334,
[final] ).
cnf(c_0_3179,plain,
c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
c_0_2335,
[final] ).
cnf(c_0_3180,plain,
c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
c_0_2336,
[final] ).
cnf(c_0_3181,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
c_0_2337,
[final] ).
cnf(c_0_3182,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
c_0_2338,
[final] ).
cnf(c_0_3183,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
c_0_2339,
[final] ).
cnf(c_0_3184,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
c_0_2340,
[final] ).
cnf(c_0_3185,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X3 != X2 ),
c_0_2341,
[final] ).
cnf(c_0_3186,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
c_0_2342,
[final] ).
cnf(c_0_3187,plain,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
c_0_2343,
[final] ).
cnf(c_0_3188,plain,
c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
c_0_2344,
[final] ).
cnf(c_0_3189,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
c_0_2345,
[final] ).
cnf(c_0_3190,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(X1,c_List_Orotate1(X1,X2)) ),
c_0_2346,
[final] ).
cnf(c_0_3191,plain,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
c_0_2347,
[final] ).
cnf(c_0_3192,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
c_0_2348,
[final] ).
cnf(c_0_3193,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
c_0_2349,
[final] ).
cnf(c_0_3194,plain,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olexord(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
c_0_2350,
[final] ).
cnf(c_0_3195,plain,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olistrel(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
c_0_2351,
[final] ).
cnf(c_0_3196,plain,
( X1 = hAPP(hAPP(c_List_Oappend(X2),c_List_Olist_ONil(X2)),X3)
| X1 != X3 ),
c_0_2352,
[final] ).
cnf(c_0_3197,plain,
( c_List_Odistinct(X1,c_List_Obutlast(X1,X2))
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
c_0_2353,
[final] ).
cnf(c_0_3198,plain,
c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_Orotate1(X1,X2)) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2),
c_0_2354,
[final] ).
cnf(c_0_3199,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
c_0_2355,
[final] ).
cnf(c_0_3200,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
c_0_2356,
[final] ).
cnf(c_0_3201,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
c_0_2357,
[final] ).
cnf(c_0_3202,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X3
| ~ class_Orderings_Opreorder(X1) ),
c_0_2358,
[final] ).
cnf(c_0_3203,plain,
hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2) = X2,
c_0_2359,
[final] ).
cnf(c_0_3204,plain,
c_List_OdropWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_2360,
[final] ).
cnf(c_0_3205,plain,
c_List_OtakeWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_2361,
[final] ).
cnf(c_0_3206,plain,
( c_List_Odistinct(X1,c_List_Orotate1(X1,X2))
| ~ c_List_Odistinct(X1,X2) ),
c_0_2362,
[final] ).
cnf(c_0_3207,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
c_0_2363,
[final] ).
cnf(c_0_3208,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X3
| X2 != c_List_Olist_ONil(X1) ),
c_0_2364,
[final] ).
cnf(c_0_3209,plain,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X2
| X3 != c_List_Olist_ONil(X1) ),
c_0_2365,
[final] ).
cnf(c_0_3210,plain,
( hAPP(hAPP(c_List_Oappend(X2),X3),X1) = X1
| X3 != c_List_Olist_ONil(X2) ),
c_0_2366,
[final] ).
cnf(c_0_3211,plain,
( hAPP(hAPP(c_List_Oappend(X2),X1),X3) = X1
| X3 != c_List_Olist_ONil(X2) ),
c_0_2367,
[final] ).
cnf(c_0_3212,plain,
c_List_Osplice(X1,X2,c_List_Olist_ONil(X1)) = X2,
c_0_2368,
[final] ).
cnf(c_0_3213,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X1),X2) = X2,
c_0_2369,
[final] ).
cnf(c_0_3214,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2370,
[final] ).
cnf(c_0_3215,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
c_0_2371,
[final] ).
cnf(c_0_3216,plain,
hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Olist_ONil(X1)) = X2,
c_0_2372,
[final] ).
cnf(c_0_3217,plain,
( c_List_Odistinct(X1,X2)
| esk99_2(X2,X1) != esk98_2(X2,X1) ),
c_0_2373,
[final] ).
cnf(c_0_3218,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
c_0_2374,
[final] ).
cnf(c_0_3219,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
c_0_2375,
[final] ).
cnf(c_0_3220,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
c_0_2376,
[final] ).
cnf(c_0_3221,plain,
c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
c_0_2377,
[final] ).
cnf(c_0_3222,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
c_0_2378,
[final] ).
cnf(c_0_3223,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP(c_fNot,X1)) ),
c_0_2379,
[final] ).
cnf(c_0_3224,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
c_0_2380,
[final] ).
cnf(c_0_3225,plain,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
c_0_2381,
[final] ).
cnf(c_0_3226,plain,
c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
c_0_2382,
[final] ).
cnf(c_0_3227,plain,
c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
c_0_2383,
[final] ).
cnf(c_0_3228,plain,
( class_Orderings_Oord(tc_fun(X1,X2))
| ~ class_Orderings_Oord(X2) ),
c_0_2384,
[final] ).
cnf(c_0_3229,plain,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
c_0_2385,
[final] ).
cnf(c_0_3230,plain,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
c_0_2386,
[final] ).
cnf(c_0_3231,plain,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
c_0_2387,
[final] ).
cnf(c_0_3232,plain,
( class_Lattices_Osemilattice__inf(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
c_0_2388,
[final] ).
cnf(c_0_3233,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X2,X1) != c_List_Olist_ONil(X2) ),
c_0_2389,
[final] ).
cnf(c_0_3234,plain,
( hBOOL(hAPP(c_fNot,X1))
| hBOOL(X1) ),
c_0_2390,
[final] ).
cnf(c_0_3235,plain,
( c_List_Orotate1(X1,X2) = c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
c_0_2391,
[final] ).
cnf(c_0_3236,plain,
c_List_Obutlast(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_2392,
[final] ).
cnf(c_0_3237,plain,
c_List_Orotate1(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_2393,
[final] ).
cnf(c_0_3238,plain,
hAPP(c_COMBI(X1),X2) = X2,
c_0_2394,
[final] ).
cnf(c_0_3239,plain,
c_List_Odistinct(X1,c_List_Olist_ONil(X1)),
c_0_2395,
[final] ).
cnf(c_0_3240,plain,
class_Orderings_Oord(tc_HOL_Obool),
c_0_2396,
[final] ).
cnf(c_0_3241,plain,
class_Orderings_Oorder(tc_HOL_Obool),
c_0_2397,
[final] ).
cnf(c_0_3242,plain,
class_Lattices_Olattice(tc_HOL_Obool),
c_0_2398,
[final] ).
cnf(c_0_3243,plain,
class_Orderings_Opreorder(tc_HOL_Obool),
c_0_2399,
[final] ).
cnf(c_0_3244,plain,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
c_0_2400,
[final] ).
cnf(c_0_3245,plain,
class_Orderings_Oord(tc_Nat_Onat),
c_0_2401,
[final] ).
cnf(c_0_3246,plain,
class_Orderings_Oorder(tc_Nat_Onat),
c_0_2402,
[final] ).
cnf(c_0_3247,plain,
class_Lattices_Olattice(tc_Nat_Onat),
c_0_2403,
[final] ).
cnf(c_0_3248,plain,
class_Orderings_Olinorder(tc_Nat_Onat),
c_0_2404,
[final] ).
cnf(c_0_3249,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
c_0_2405,
[final] ).
cnf(c_0_3250,plain,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
c_0_2406,
[final] ).
cnf(c_0_3251,plain,
c_Arrow__Order__Mirabelle_OIIA(v_F),
c_0_2407,
[final] ).
cnf(c_0_3252,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
c_0_2408,
[final] ).
cnf(c_0_3253,plain,
v_b____ != v_a____,
c_0_2409,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2410_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2410]) ).
cnf(c_0_2410_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2410]) ).
cnf(c_0_2411_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2411]) ).
cnf(c_0_2411_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2411]) ).
cnf(c_0_2413_0,axiom,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2413_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2413_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2413_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2414_0,axiom,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2414_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2414_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2414_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))),X7))
| hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2415_0,axiom,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2415_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2415_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2415_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2416_0,axiom,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2416_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2416_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2416_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2417_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2417]) ).
cnf(c_0_2417_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2417]) ).
cnf(c_0_2418_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2418]) ).
cnf(c_0_2418_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2418]) ).
cnf(c_0_2420_0,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2420]) ).
cnf(c_0_2420_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2420]) ).
cnf(c_0_2420_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1))),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2420]) ).
cnf(c_0_2421_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2421_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X5)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X6)),X3),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X5),X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2422_0,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1)))),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2422]) ).
cnf(c_0_2422_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1)))),X7))
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2422]) ).
cnf(c_0_2422_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk74_7(X7,X6,X5,X4,X3,X2,X1)),sk1_esk75_7(X7,X6,X5,X4,X3,X2,X1)))),X7))
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2422]) ).
cnf(c_0_2423_0,axiom,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2423]) ).
cnf(c_0_2423_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2423]) ).
cnf(c_0_2423_2,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2423]) ).
cnf(c_0_2423_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,sk1_esk70_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk71_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2423]) ).
cnf(c_0_2424_0,axiom,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2424]) ).
cnf(c_0_2424_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2424]) ).
cnf(c_0_2424_2,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2424]) ).
cnf(c_0_2424_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,sk1_esk68_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk69_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2424]) ).
cnf(c_0_2425_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2425]) ).
cnf(c_0_2425_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2425]) ).
cnf(c_0_2426_0,axiom,
( hBOOL(hAPP(hAPP(X8,X3),X4))
| hBOOL(hAPP(hAPP(X8,sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2426]) ).
cnf(c_0_2426_1,axiom,
( hBOOL(hAPP(hAPP(X8,sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2426]) ).
cnf(c_0_2426_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2426]) ).
cnf(c_0_2426_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,sk1_esk72_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk73_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2426]) ).
cnf(c_0_2427_0,axiom,
( hBOOL(hAPP(hAPP(X8,X5),X6))
| hBOOL(hAPP(hAPP(X8,sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2427_1,axiom,
( hBOOL(hAPP(hAPP(X8,sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2427_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X5),X6))
| ~ hBOOL(hAPP(hAPP(X8,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2427_3,axiom,
( ~ hBOOL(hAPP(hAPP(X8,X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))
| hBOOL(hAPP(hAPP(X8,sk1_esk66_8(X8,X7,X6,X5,X4,X3,X2,X1)),sk1_esk67_8(X8,X7,X6,X5,X4,X3,X2,X1)))
| hBOOL(hAPP(hAPP(X8,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2428_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2428]) ).
cnf(c_0_2428_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X3)),X2))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2428]) ).
cnf(c_0_2430_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2430]) ).
cnf(c_0_2430_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ),
inference(literals_permutation,[status(thm)],[c_0_2430]) ).
cnf(c_0_2431_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2431]) ).
cnf(c_0_2431_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Wellfounded_Oacc(X1,X2)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2431]) ).
cnf(c_0_2432_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2432]) ).
cnf(c_0_2432_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2432]) ).
cnf(c_0_2433_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____))) ),
inference(literals_permutation,[status(thm)],[c_0_2433]) ).
cnf(c_0_2433_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,v_P____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)))) ),
inference(literals_permutation,[status(thm)],[c_0_2433]) ).
cnf(c_0_2435_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,sk1_esk88_6(X5,X2,X1,X4,X3,X6)),sk1_esk89_6(X5,X2,X1,X4,X3,X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_2435]) ).
cnf(c_0_2435_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,sk1_esk88_6(X5,X2,X1,X4,X3,X6)),sk1_esk89_6(X5,X2,X1,X4,X3,X6))))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2435]) ).
cnf(c_0_2436_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2436]) ).
cnf(c_0_2436_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2436]) ).
cnf(c_0_2437_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2438_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2439_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2440_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_1,axiom,
( ~ c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X4),X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2441_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ c_Predicate_ODomainP(X1,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_1,axiom,
( ~ c_Predicate_ODomainP(X1,X3,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_fun(X3,tc_HOL_Obool)),X1),c_COMBC(X3,tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X1,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X3),tc_fun(tc_fun(tc_prod(X1,X3),tc_HOL_Obool),tc_HOL_Obool),X3),c_member(tc_prod(X1,X3)))),c_Product__Type_OPair(X1,X3)))),X4),X2)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2442_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ c_Predicate_ORangeP(X3,X1,hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_COMBC(X1,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X3,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X1),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X3,X1)))),c_Product__Type_OPair(X3,X1)))),X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2442_1,axiom,
( ~ c_Predicate_ORangeP(X3,X1,hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X3),c_COMBC(X1,tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X3,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X1),tc_fun(tc_fun(tc_prod(X3,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X3,X1)))),c_Product__Type_OPair(X3,X1)))),X4),X2)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2443_0,axiom,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2443_1,axiom,
( hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_fun(X4,tc_HOL_Obool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_HOL_Obool),tc_HOL_Obool),X4),c_member(tc_prod(X3,X4)))),c_Product__Type_OPair(X3,X4)))),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2444_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,sk1_esk86_6(X6,X5,X4,X3,X2,X1)),sk1_esk87_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2444_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,sk1_esk86_6(X6,X5,X4,X3,X2,X1)),sk1_esk87_6(X6,X5,X4,X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2445_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_5,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_6,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2446_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_5,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_6,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk8_6(X6,X5,X4,X3,X2,X1))))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2447_0,axiom,
( X1 = X2
| X3 = X4
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_1,axiom,
( X3 = X4
| X1 = X2
| X1 = X4
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_2,axiom,
( X1 = X4
| X3 = X4
| X1 = X2
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_3,axiom,
( X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_4,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_5,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_6,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_7,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_8,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_9,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(v_F,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X6),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X5),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X5,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X6,sk1_esk7_6(X6,X5,X4,X3,X2,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(v_F,X6)))
| X2 = X3
| X1 = X4
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2448_0,axiom,
( c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2448]) ).
cnf(c_0_2448_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel(X1,X2)))
| c_List_Olistrelp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X1,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X1),tc_fun(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),tc_HOL_Obool),X1),c_member(tc_prod(X1,X1)))),c_Product__Type_OPair(X1,X1)))),X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2448]) ).
cnf(c_0_2449_0,axiom,
( c_Predicate_ODomainP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Relation_ODomain(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2449]) ).
cnf(c_0_2449_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Relation_ODomain(X1,X2,X3)))
| c_Predicate_ODomainP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2449]) ).
cnf(c_0_2450_0,axiom,
( c_Predicate_ORangeP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2450]) ).
cnf(c_0_2450_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3)))
| c_Predicate_ORangeP(X1,X2,hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2450]) ).
cnf(c_0_2451_0,axiom,
( hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3) = hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4)
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2451_1,axiom,
( X3 != X4
| hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X3) = hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),tc_HOL_Obool),X2),c_member(tc_prod(X1,X2)))),c_Product__Type_OPair(X1,X2)))),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2452_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2452_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2452_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2453_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2453_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2454_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk43_5(X4,X3,X2,X5,X1)),sk1_esk43_5(X4,X3,X2,X5,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X2)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk43_5(X4,X3,X2,X5,X1)),sk1_esk43_5(X4,X3,X2,X5,X1))),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X2)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X5),X2)),hAPP(hAPP(c_List_Oappend(X1),X5),X3))),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk43_5(X4,X3,X2,X5,X1)),sk1_esk43_5(X4,X3,X2,X5,X1))),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2455_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2455_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2456_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6)),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X3,X2)),X5),c_FuncSet_OPi(X3,X2,X8,c_COMBK(tc_fun(X2,tc_HOL_Obool),X3,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X6),c_FuncSet_OPi(X1,X3,X4,c_COMBK(tc_fun(X3,tc_HOL_Obool),X1,X8)))) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2456_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X3,X2)),X5),c_FuncSet_OPi(X3,X2,X8,c_COMBK(tc_fun(X2,tc_HOL_Obool),X3,X7))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6)),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X6),c_FuncSet_OPi(X1,X3,X4,c_COMBK(tc_fun(X3,tc_HOL_Obool),X1,X8)))) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2456_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X6),c_FuncSet_OPi(X1,X3,X4,c_COMBK(tc_fun(X3,tc_HOL_Obool),X1,X8))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X3,X2)),X5),c_FuncSet_OPi(X3,X2,X8,c_COMBK(tc_fun(X2,tc_HOL_Obool),X3,X7))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6)),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X7)))) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2457_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2457_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2457_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2458_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2458_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2458_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X4),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X3)),X5),c_FuncSet_OPi(X1,X3,X6,X2)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk84_6(X2,X3,X4,X5,X6,X1)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2459_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2459_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2459_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk77_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2460_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk85_5(X5,X3,X2,X4,X1))),hAPP(X5,sk1_esk85_5(X5,X3,X2,X4,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2460_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk85_5(X5,X3,X2,X4,X1))),hAPP(X5,sk1_esk85_5(X5,X3,X2,X4,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2461_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk23_5(X5,X3,X2,X4,X1))),hAPP(X5,sk1_esk23_5(X5,X3,X2,X4,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2461_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk23_5(X5,X3,X2,X4,X1))),hAPP(X5,sk1_esk23_5(X5,X3,X2,X4,X1))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2462_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2462_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2462_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2463_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2463_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2463_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2464_0,axiom,
( c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9)))) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9)))) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9)))) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X6)),X8),c_FuncSet_OPi(X1,X6,X4,c_COMBK(tc_fun(X6,tc_HOL_Obool),X1,X9))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X2)),X7),c_FuncSet_OPi(X6,X2,X9,c_COMBK(tc_fun(X2,tc_HOL_Obool),X6,X10))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X3)),X5),c_FuncSet_OPi(X2,X3,X10,c_COMBK(tc_fun(X3,tc_HOL_Obool),X2,X11))))
| c_FuncSet_Ocompose(X1,X2,X3,X4,X5,c_FuncSet_Ocompose(X1,X6,X2,X4,X7,X8)) = c_FuncSet_Ocompose(X1,X6,X3,X4,c_FuncSet_Ocompose(X6,X2,X3,X9,X5,X7),X8) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2465_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,sk1_esk96_4(X4,X3,X2,X1))),c_List_Onth(X1,X3,sk1_esk96_4(X4,X3,X2,X1)))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2465_1,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,sk1_esk96_4(X4,X3,X2,X1))),c_List_Onth(X1,X3,sk1_esk96_4(X4,X3,X2,X1)))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2465_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,sk1_esk96_4(X4,X3,X2,X1))),c_List_Onth(X1,X3,sk1_esk96_4(X4,X3,X2,X1)))),X4))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2466_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk38_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2466]) ).
cnf(c_0_2466_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),sk1_esk38_5(X5,X4,X3,X2,X1)),X4)),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2466]) ).
cnf(c_0_2467_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk37_5(X5,X4,X3,X2,X1)),X3)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2467_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk37_5(X5,X4,X3,X2,X1)),X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2468_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2468]) ).
cnf(c_0_2468_1,axiom,
( hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2468]) ).
cnf(c_0_2468_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2468]) ).
cnf(c_0_2469_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2469]) ).
cnf(c_0_2469_1,axiom,
( hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2469]) ).
cnf(c_0_2469_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X4),c_FuncSet_OPi(X6,X3,X5,X2)))
| hAPP(X1,sk1_esk84_6(X2,X3,X4,X1,X5,X6)) != hAPP(X4,sk1_esk84_6(X2,X3,X4,X1,X5,X6))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X3)),X1),c_FuncSet_OPi(X6,X3,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2469]) ).
cnf(c_0_2470_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_1,axiom,
( ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2470_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2471_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_1,axiom,
( ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2471_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2472_0,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk86_6(X6,X5,X4,X3,X2,X1)),sk1_esk87_6(X6,X5,X4,X3,X2,X1)) = X6
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2472_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk86_6(X6,X5,X4,X3,X2,X1)),sk1_esk87_6(X6,X5,X4,X3,X2,X1)) = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2473_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6)))
| hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk88_6(X5,X2,X1,X4,X3,X6)),sk1_esk89_6(X5,X2,X1,X4,X3,X6)) = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2473_1,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk88_6(X5,X2,X1,X4,X3,X6)),sk1_esk89_6(X5,X2,X1,X4,X3,X6)) = X6
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2474_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk24_5(X5,X3,X2,X4,X1))),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2474]) ).
cnf(c_0_2474_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,sk1_esk24_5(X5,X3,X2,X4,X1))),X5))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2474]) ).
cnf(c_0_2475_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk45_5(X5,X4,X3,X2,X1))),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2477_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5))
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2477_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2477_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk44_5(X5,X4,X3,X2,X1))),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2478_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_3,axiom,
( ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2479_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_3,axiom,
( ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X3),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X1,X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X2,sk1_esk17_5(X1,X2,X3,X4,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(X3,sk1_esk17_5(X1,X2,X3,X4,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2480_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk36_5(X5,X4,X3,X2,X1))),c_List_Olistrel(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2480_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),sk1_esk36_5(X5,X4,X3,X2,X1))),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2481_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk35_5(X5,X4,X3,X2,X1))),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2481_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),sk1_esk35_5(X5,X4,X3,X2,X1))),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2482_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk28_4(X2,X3,X4,X1)),sk1_esk29_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_1,axiom,
( X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk28_4(X2,X3,X4,X1)),sk1_esk29_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk28_4(X2,X3,X4,X1)),sk1_esk29_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk28_4(X2,X3,X4,X1)),sk1_esk29_4(X2,X3,X4,X1))),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2483_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk29_4(X2,X3,X4,X1)),sk1_esk28_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2483_1,axiom,
( X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk29_4(X2,X3,X4,X1)),sk1_esk28_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2483_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk29_4(X2,X3,X4,X1)),sk1_esk28_4(X2,X3,X4,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2483_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk29_4(X2,X3,X4,X1)),sk1_esk28_4(X2,X3,X4,X1))),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2484_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2484_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2485_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2485_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2486_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2486_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2486_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2487_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2487_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2487_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2488_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2488_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2488_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2489_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),hAPP(X4,sk1_esk95_5(X5,X4,X2,X3,X1)),hAPP(X5,sk1_esk95_5(X5,X4,X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2489]) ).
cnf(c_0_2489_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),hAPP(X4,sk1_esk95_5(X5,X4,X2,X3,X1)),hAPP(X5,sk1_esk95_5(X5,X4,X2,X3,X1)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2489]) ).
cnf(c_0_2490_0,axiom,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2490_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2490_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2491_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2491_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2491_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2492_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(X1,sk1_esk10_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2492_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(X1,sk1_esk10_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2492_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(X1,sk1_esk10_2(X2,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2493_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk39_4(X4,X3,X2,X1)),sk1_esk40_4(X4,X3,X2,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2493_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk39_4(X4,X3,X2,X1)),sk1_esk40_4(X4,X3,X2,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2494_0,axiom,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2494_1,axiom,
( X2 = X4
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2494_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X2 = X4
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2495_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_1,axiom,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2496_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X4)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2496]) ).
cnf(c_0_2496_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X4)),X2))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2496]) ).
cnf(c_0_2497_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(sk1_esk10_2(X2,X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(sk1_esk10_2(X2,X1),X2)))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk11_2(X2,X1)),sk1_esk12_2(X2,X1))),hAPP(sk1_esk10_2(X2,X1),X2)))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2498_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk10_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2498_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk10_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))) ),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2498_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk10_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2499_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| sk1_esk12_2(X2,X1) != sk1_esk11_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2499_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| sk1_esk12_2(X2,X1) != sk1_esk11_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2499_2,axiom,
( sk1_esk12_2(X2,X1) != sk1_esk11_2(X2,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2500_0,axiom,
( c_Set_Oimage(X1,X2,c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6),X4) = X7
| c_Set_Oimage(X3,X2,X5,X8) != X7
| c_Set_Oimage(X1,X3,X6,X4) != X8 ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2500_1,axiom,
( c_Set_Oimage(X3,X2,X5,X8) != X7
| c_Set_Oimage(X1,X2,c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6),X4) = X7
| c_Set_Oimage(X1,X3,X6,X4) != X8 ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2500_2,axiom,
( c_Set_Oimage(X1,X3,X6,X4) != X8
| c_Set_Oimage(X3,X2,X5,X8) != X7
| c_Set_Oimage(X1,X2,c_FuncSet_Ocompose(X1,X3,X2,X4,X5,X6),X4) = X7 ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2501_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2501_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2501_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj),X2)),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2502_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk45_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk44_5(X5,X4,X3,X2,X1)),X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2503_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk35_5(X5,X4,X3,X2,X1)),sk1_esk36_5(X5,X4,X3,X2,X1)) = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2503_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4)),c_List_Olistrel(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk35_5(X5,X4,X3,X2,X1)),sk1_esk36_5(X5,X4,X3,X2,X1)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2504_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_1,axiom,
( X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2505_0,axiom,
( hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X5,hAPP(X6,X7))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X7),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2505_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X7),X4))
| hAPP(c_FuncSet_Ocompose(X1,X2,X3,X4,X5,X6),X7) = hAPP(X5,hAPP(X6,X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2506_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2506_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2507_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk24_5(X5,X3,X2,X4,X1)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2507_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk24_5(X5,X3,X2,X4,X1)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2508_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2508_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2508_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))),hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2509_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2509_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2509_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel1(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),X3),sk1_esk77_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk76_5(X5,X4,X3,X2,X1)),X4) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2510_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk37_5(X5,X4,X3,X2,X1)),sk1_esk38_5(X5,X4,X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2510_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),c_List_Olistrel(X1,X5)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk37_5(X5,X4,X3,X2,X1)),sk1_esk38_5(X5,X4,X3,X2,X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2511_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk85_5(X5,X3,X2,X4,X1)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2511]) ).
cnf(c_0_2511_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk85_5(X5,X3,X2,X4,X1)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2511]) ).
cnf(c_0_2512_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk23_5(X5,X3,X2,X4,X1)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2512]) ).
cnf(c_0_2512_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk23_5(X5,X3,X2,X4,X1)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2512]) ).
cnf(c_0_2513_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk95_5(X5,X4,X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2513_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk95_5(X5,X4,X2,X3,X1)),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X3,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2514_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)))),c_List_Olexord(X1,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2514_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))),hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)))),c_List_Olexord(X1,X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2515_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))
| ~ hBOOL(hAPP(X6,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2515_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7)))
| ~ hBOOL(hAPP(X6,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2515_2,axiom,
( ~ hBOOL(hAPP(X6,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X5)),hAPP(X7,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X5))),c_Recdef_Osame__fst(X1,X2,X6,X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2516_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| X3 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2516]) ).
cnf(c_0_2516_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| X3 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2516]) ).
cnf(c_0_2516_2,axiom,
( X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X2,X2)),hAPP(hAPP(c_Product__Type_OPair(X2,X2),X4),X6)),X8))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2516]) ).
cnf(c_0_2517_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2517]) ).
cnf(c_0_2517_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X5)),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6))),c_Wellfounded_Olex__prod(X1,X2,X7,X8))) ),
inference(literals_permutation,[status(thm)],[c_0_2517]) ).
cnf(c_0_2520_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2520]) ).
cnf(c_0_2520_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)))
| hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2520]) ).
cnf(c_0_2521_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2521]) ).
cnf(c_0_2521_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2521]) ).
cnf(c_0_2521_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2521]) ).
cnf(c_0_2522_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk56_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2522_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk56_4(X3,X1,X4,X2)),X4)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2523_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk54_4(X3,X1,X4,X2)),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2523_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),X4),c_Relation_ORange(X1,X2,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk54_4(X3,X1,X4,X2)),X4)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2524_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2524]) ).
cnf(c_0_2524_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2524]) ).
cnf(c_0_2524_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2524]) ).
cnf(c_0_2525_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2525_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2525_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2526_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2526_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2526_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2527_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(literals_permutation,[status(thm)],[c_0_2527]) ).
cnf(c_0_2527_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(literals_permutation,[status(thm)],[c_0_2527]) ).
cnf(c_0_2528_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2528]) ).
cnf(c_0_2528_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2528]) ).
cnf(c_0_2528_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_2528]) ).
cnf(c_0_2529_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2529]) ).
cnf(c_0_2529_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2529]) ).
cnf(c_0_2529_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2529]) ).
cnf(c_0_2531_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2531_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2531_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2532_0,axiom,
( X3 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2532_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2532_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2533_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,sk1_esk13_4(X3,X4,X1,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2533_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,sk1_esk13_4(X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2533_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,sk1_esk13_4(X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4)))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2533_3,axiom,
( ~ c_Arrow__Order__Mirabelle_Ounanimity(X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X4),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X4,sk1_esk13_4(X3,X4,X1,X2))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),hAPP(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2535_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2535_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2535_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2536_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2536_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2536_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2537_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2537_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2537_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2538_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2538_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2538_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk32_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2539_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2539_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2539_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk31_5(X5,X4,X3,X2,X1)),X3) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2540_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2540_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2540_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2541_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2541]) ).
cnf(c_0_2541_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2541]) ).
cnf(c_0_2542_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ c_Relation_Otrans(X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2542_1,axiom,
( ~ c_Relation_Otrans(X1,X4)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2542_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ c_Relation_Otrans(X1,X4)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2542_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X5)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X5),X3)),c_List_Olexord(X1,X4)))
| ~ c_Relation_Otrans(X1,X4)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2543_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2543_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2543_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olex(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2544_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2544_1,axiom,
( X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2544_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X4)),c_List_Olistrel1(X1,X6)))
| X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2545_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2545]) ).
cnf(c_0_2545_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2545]) ).
cnf(c_0_2545_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2545]) ).
cnf(c_0_2546_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2546]) ).
cnf(c_0_2546_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2546]) ).
cnf(c_0_2546_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olistrel1(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2546]) ).
cnf(c_0_2547_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2547_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2547_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X5)),c_List_Olexord(X1,X6)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2548_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2548_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olistrel1(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X4))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2549_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olexord(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2549]) ).
cnf(c_0_2549_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X4)),c_List_Olexord(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),hAPP(hAPP(c_List_Oappend(X1),X2),X4))),c_List_Olexord(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2549]) ).
cnf(c_0_2550_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk39_4(X4,X3,X2,X1)),sk1_esk42_4(X4,X3,X2,X1))) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2550]) ).
cnf(c_0_2550_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk39_4(X4,X3,X2,X1)),sk1_esk42_4(X4,X3,X2,X1))) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2550]) ).
cnf(c_0_2551_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk40_4(X4,X3,X2,X1)),sk1_esk42_4(X4,X3,X2,X1))) = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2551]) ).
cnf(c_0_2551_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk41_4(X4,X3,X2,X1)),hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk40_4(X4,X3,X2,X1)),sk1_esk42_4(X4,X3,X2,X1))) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2551]) ).
cnf(c_0_2552_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2552_1,axiom,
( X2 = X4
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2552_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| X2 = X4
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2553_0,axiom,
( X3 = X5
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2553_1,axiom,
( X2 = X4
| X3 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2553_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X2 = X4
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2554_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2555_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,X5)),c_List_Onth(X1,X3,X5))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2555_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,X5)),c_List_Onth(X1,X3,X5))),X4))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2555_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),c_List_Onth(X1,X2,X5)),c_List_Onth(X1,X3,X5))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2556_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2557_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk30_3(X2,X3,X1)),sk1_esk30_3(X2,X3,X1))),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olexord(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2557]) ).
cnf(c_0_2557_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olexord(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk30_3(X2,X3,X1)),sk1_esk30_3(X2,X3,X1))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2557]) ).
cnf(c_0_2558_0,axiom,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2558]) ).
cnf(c_0_2558_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5))
| c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2558]) ).
cnf(c_0_2559_0,axiom,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2559]) ).
cnf(c_0_2559_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X5))
| c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2559]) ).
cnf(c_0_2560_0,axiom,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2560]) ).
cnf(c_0_2560_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X6),X5))
| c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2560]) ).
cnf(c_0_2561_0,axiom,
( c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2561_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X6),X5))
| c_Fun_Ooverride__on(X1,X2,X3,X4,X5,X6) = hAPP(X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2562_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2562_1,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2562_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olex(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2563_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| X3 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2563_1,axiom,
( X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2563_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| X3 != X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olistrel1(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2564_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel1(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2564]) ).
cnf(c_0_2564_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X3))),c_List_Olistrel1(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2564]) ).
cnf(c_0_2565_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2565_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X6))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))),c_List_Olexord(X1,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2566_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ c_Relation_Osingle__valued(X1,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2566_4,axiom,
( ~ c_Relation_Osingle__valued(X1,X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X3),X2)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2567_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),sk1_esk57_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2567_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),sk1_esk57_4(X4,X2,X3,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2568_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),sk1_esk53_4(X4,X2,X3,X1))),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2568_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X3),c_Relation_ODomain(X1,X2,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),sk1_esk53_4(X4,X2,X3,X1))),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2569_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2569_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2569_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2570_0,axiom,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2570_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2570_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2571_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2571_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2571_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),sk1_esk32_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Oappend(X1),X4),sk1_esk31_5(X5,X4,X3,X2,X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2572_0,axiom,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2572]) ).
cnf(c_0_2572_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2572]) ).
cnf(c_0_2572_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk34_5(X5,X4,X3,X2,X1)),X5) = X3
| X4 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2572]) ).
cnf(c_0_2573_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2573_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2573_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),sk1_esk33_5(X5,X4,X3,X2,X1)),X3) = X5
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2574_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_5,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2575_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_6,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2576_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2577_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_3,axiom,
( X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2578_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_5,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2579_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_6,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2580_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2581_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_3,axiom,
( X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2583_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2583_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)),X2))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2584_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2584_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2584_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2585_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2585_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2585_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2586_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X1),X6),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2586_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X1),X6),X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2587_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2587]) ).
cnf(c_0_2587_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X4,tc_fun(X5,tc_HOL_Obool))),X6),X1),X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2587]) ).
cnf(c_0_2588_0,axiom,
( hBOOL(hAPP(hAPP(X3,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2588]) ).
cnf(c_0_2588_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| hBOOL(hAPP(hAPP(X3,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2588]) ).
cnf(c_0_2589_0,axiom,
( hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2589]) ).
cnf(c_0_2589_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| hBOOL(hAPP(hAPP(X4,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2589]) ).
cnf(c_0_2590_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2590_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2590_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2591_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2591_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2591_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),c_Transitive__Closure_Ortrancl(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Transitive__Closure_Ortrancl(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2592_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2593_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2595_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2595_1,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2595_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2596_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2596_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2596_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2596_3,axiom,
( ~ c_Relation_Otrans(X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2597_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2597_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2597_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4))
| ~ c_Relation_Otrans(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2597_3,axiom,
( ~ c_Relation_Otrans(X1,X4)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X5)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X5),X3)),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2598_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2598]) ).
cnf(c_0_2598_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2598]) ).
cnf(c_0_2599_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| sk1_esk28_4(X2,X3,X4,X1) != sk1_esk29_4(X2,X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2599_1,axiom,
( X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| sk1_esk28_4(X2,X3,X4,X1) != sk1_esk29_4(X2,X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2599_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4)))
| sk1_esk28_4(X2,X3,X4,X1) != sk1_esk29_4(X2,X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2599_3,axiom,
( sk1_esk28_4(X2,X3,X4,X1) != sk1_esk29_4(X2,X3,X4,X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X3),X2)),c_List_Olexord(X1,X4)))
| X3 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2600_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2600_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2600_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2601_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(X2,X3),X4)),c_Set_Oimage(tc_prod(X5,X6),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X1),X2),X7)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X6)),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X3),X4)),X7)) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2601_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X6)),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X3),X4)),X7))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(hAPP(X2,X3),X4)),c_Set_Oimage(tc_prod(X5,X6),X1,hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X1),X2),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2602_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hAPP(X4,X2) != hAPP(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2602_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| hAPP(X4,X2) != hAPP(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2602_2,axiom,
( hAPP(X4,X2) != hAPP(X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,X5)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2603_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| ~ hBOOL(hAPP(X3,c_List_Onth(X2,X4,sk1_esk100_4(X4,X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2603_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| ~ hBOOL(hAPP(X3,c_List_Onth(X2,X4,sk1_esk100_4(X4,X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2603_2,axiom,
( ~ hBOOL(hAPP(X3,c_List_Onth(X2,X4,sk1_esk100_4(X4,X2,X3,X1))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2604_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2604_1,axiom,
( X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2604_2,axiom,
( X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2604_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X8),X6)),X4))
| X2 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X8),X7))
| X3 != hAPP(hAPP(c_List_Oappend(X1),X5),hAPP(hAPP(c_List_Olist_OCons(X1),X6),X7))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2605_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),sk1_esk83_4(X5,X4,X3,X2)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2605_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| hBOOL(hAPP(hAPP(c_member(X3),sk1_esk83_4(X5,X4,X3,X2)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2606_0,axiom,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_1,axiom,
( X5 = X1
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X1
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_3,axiom,
( X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X1
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X1
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X1
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_6,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X5 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2607_0,axiom,
( X1 = X2
| X5 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_1,axiom,
( X5 = X1
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X1
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_3,axiom,
( X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X1
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X1
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2608_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X1 = X2
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_4,axiom,
( X5 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2609_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2609_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2609_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2609_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2610_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2610_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2610_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2611_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk78_3(X3,X2,X1)),sk1_esk79_3(X3,X2,X1))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2611_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk78_3(X3,X2,X1)),sk1_esk79_3(X3,X2,X1))),X3))
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2612_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk78_3(X3,X2,X1)),sk1_esk80_3(X3,X2,X1))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2612_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk78_3(X3,X2,X1)),sk1_esk80_3(X3,X2,X1))),X3))
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2613_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk50_3(X3,X2,X1)),sk1_esk51_3(X3,X2,X1))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2613_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk50_3(X3,X2,X1)),sk1_esk51_3(X3,X2,X1))),X3))
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2614_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk50_3(X3,X2,X1)),sk1_esk52_3(X3,X2,X1))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2614_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),sk1_esk50_3(X3,X2,X1)),sk1_esk52_3(X3,X2,X1))),X3))
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2615_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hAPP(X4,X2) = hAPP(X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2615_1,axiom,
( hAPP(X4,X2) = hAPP(X4,X3)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2615_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| hAPP(X4,X2) = hAPP(X4,X3)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2616_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2616]) ).
cnf(c_0_2616_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5))
| hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2616]) ).
cnf(c_0_2617_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2617_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X2,X3,tc_HOL_Obool,X1),X4),X5))
| hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2618_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_5,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_6,axiom,
( X4 != X1
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2619_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_5,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2619_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2620_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2620_6,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2621_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_3,axiom,
( X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2621_6,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2622_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_4,axiom,
( X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2623_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2623_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2623_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2623_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2623_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2623_5,axiom,
( X5 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2624_0,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_1,axiom,
( X4 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X2
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_3,axiom,
( X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X2
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X2
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X2
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2624_6,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X4 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2625_0,axiom,
( X1 = X2
| X4 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2625_1,axiom,
( X4 = X2
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2625_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X2
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2625_3,axiom,
( X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X2
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2625_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X2
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2625_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2626_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2626_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2626_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2626_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X1 = X2
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2626_4,axiom,
( X4 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2627_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X1)),X3),c_FuncSet_OPi(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2627]) ).
cnf(c_0_2627_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X2,X1)),X3),c_FuncSet_OPi(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X5))))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2627]) ).
cnf(c_0_2628_0,axiom,
( c_Set_Oimage(X3,X1,X4,sk1_esk93_5(X5,X4,X3,X2,X1)) = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2628]) ).
cnf(c_0_2628_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| c_Set_Oimage(X3,X1,X4,sk1_esk93_5(X5,X4,X3,X2,X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2628]) ).
cnf(c_0_2629_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_fun(X7,tc_HOL_Obool)),X1),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X2),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2629]) ).
cnf(c_0_2629_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_fun(X7,tc_HOL_Obool)),X1),hAPP(hAPP(c_Product__Type_OPair(X5,X6),X2),X3)),X4))
| hBOOL(hAPP(hAPP(hAPP(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2629]) ).
cnf(c_0_2630_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2630_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2630_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2631_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_5,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_6,axiom,
( X5 != X2
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2632_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_5,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2633_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_6,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2634_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_3,axiom,
( X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_6,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2635_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_4,axiom,
( X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_6,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2636_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2636_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2636_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2636_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2636_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2636_5,axiom,
( X4 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X5)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2638_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X5,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2638_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X5,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2638_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X5,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2639_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),sk1_esk93_5(X5,X4,X3,X2,X1),X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2639]) ).
cnf(c_0_2639_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),sk1_esk93_5(X5,X4,X3,X2,X1),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2639]) ).
cnf(c_0_2640_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2640_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2640_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2640_3,axiom,
( ~ c_Relation_Osingle__valued(X3,X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2641_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2641_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2641_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2
| ~ c_Relation_Osingle__valued(X3,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2641_3,axiom,
( ~ c_Relation_Osingle__valued(X3,X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X1)),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X4)),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X5),X2)),X6))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2642_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk94_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk94_4(X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2642_1,axiom,
( ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk94_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk94_4(X4,X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2642_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,sk1_esk94_4(X4,X3,X2,X1)),hAPP(X4,sk1_esk94_4(X4,X3,X2,X1)))
| ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2643_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2643_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2644_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X2)),c_Product__Type_OSigma(X5,X1,X6,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2644]) ).
cnf(c_0_2644_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X1)),hAPP(hAPP(c_Product__Type_OPair(X5,X1),X4),X2)),c_Product__Type_OSigma(X5,X1,X6,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2644]) ).
cnf(c_0_2645_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2645]) ).
cnf(c_0_2645_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2645]) ).
cnf(c_0_2646_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(literals_permutation,[status(thm)],[c_0_2646]) ).
cnf(c_0_2646_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2646]) ).
cnf(c_0_2647_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2647_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2648_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),c_Product__Type_OSigma(X1,X4,X3,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2648_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X4)),hAPP(hAPP(c_Product__Type_OPair(X1,X4),X2),X5)),c_Product__Type_OSigma(X1,X4,X3,X6)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2649_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2649]) ).
cnf(c_0_2649_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2649]) ).
cnf(c_0_2650_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X2 = X4
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2650_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2650_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2650_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X5)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X5,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2651_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2651]) ).
cnf(c_0_2651_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X2)))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2651]) ).
cnf(c_0_2652_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X2),sk1_esk26_3(X3,X1,X2)),sk1_esk27_3(X3,X1,X2)) = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olexord(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2652_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olexord(X2,X3)))
| hAPP(hAPP(c_List_Olist_OCons(X2),sk1_esk26_3(X3,X1,X2)),sk1_esk27_3(X3,X1,X2)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2653_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2653]) ).
cnf(c_0_2653_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(literals_permutation,[status(thm)],[c_0_2653]) ).
cnf(c_0_2654_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2654_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2654_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),X5))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2655_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_1,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X5),X6))
| hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6))
| ~ hBOOL(hAPP(hAPP(X3,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_2,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X5),X6))
| hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2656_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____))) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2657_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2658_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5))
| ~ c_FunDef_Oin__rel(X1,X2,X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_1,axiom,
( ~ c_FunDef_Oin__rel(X1,X2,X5,X3,X4)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2659_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2659]) ).
cnf(c_0_2659_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2659]) ).
cnf(c_0_2660_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2660]) ).
cnf(c_0_2660_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olexn(X1,X4,X5)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2660]) ).
cnf(c_0_2661_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk62_3(X3,X2,X1)),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2661_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk62_3(X3,X2,X1)),X2)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2662_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk61_3(X3,X2,X1)),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2662_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk61_3(X3,X2,X1)),X2)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2663_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk55_3(X3,X2,X1)),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2663_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk55_3(X3,X2,X1)),X2)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2664_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2664_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2664_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2664_3,axiom,
( X4 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2666_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2666_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2667_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2667_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2)))
| c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2667_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2)))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2668_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2668_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2)))
| c_Arrow__Order__Mirabelle_OIIA(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2668_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk19_1(X1),X2)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(sk1_esk18_1(X1),X2)))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2669_0,axiom,
( c_FunDef_Oin__rel(X1,X2,X3,X4,X5)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2669_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)),X3))
| c_FunDef_Oin__rel(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2670_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olistrel(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2670]) ).
cnf(c_0_2670_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olist_ONil(X2)),X1)),c_List_Olistrel(X2,X3)))
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2670]) ).
cnf(c_0_2673_0,axiom,
( X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2673_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2673_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2673_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),X1))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X2)),X1))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2674_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_ONil(X2))),c_List_Olistrel(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X2),tc_List_Olist(X2)),X1),c_List_Olist_ONil(X2))),c_List_Olistrel(X2,X3)))
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2678_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Product__Type_OSigma(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olists(X1,X3),c_COMBK(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_List_Olist(X1),c_List_Olists(X1,X3))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2678]) ).
cnf(c_0_2678_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Product__Type_OSigma(X1,X1,X3,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X3)))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Product__Type_OSigma(tc_List_Olist(X1),tc_List_Olist(X1),c_List_Olists(X1,X3),c_COMBK(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_List_Olist(X1),c_List_Olists(X1,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_2678]) ).
cnf(c_0_2679_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2679_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2679_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2
| X4 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2679_3,axiom,
( X4 != X5
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2680_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2680]) ).
cnf(c_0_2680_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2680]) ).
cnf(c_0_2681_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2681]) ).
cnf(c_0_2681_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olex(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2681]) ).
cnf(c_0_2682_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2682]) ).
cnf(c_0_2682_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2682]) ).
cnf(c_0_2683_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2683]) ).
cnf(c_0_2683_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel1(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2683]) ).
cnf(c_0_2684_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2684]) ).
cnf(c_0_2684_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2684]) ).
cnf(c_0_2684_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2684]) ).
cnf(c_0_2685_0,axiom,
( X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2685]) ).
cnf(c_0_2685_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2685]) ).
cnf(c_0_2685_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| X3 = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2685]) ).
cnf(c_0_2686_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk4_3(X4,X3,X1)),sk1_esk5_3(X4,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2686]) ).
cnf(c_0_2686_1,axiom,
( ~ hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X3,X4),sk1_esk4_3(X4,X3,X1)),sk1_esk5_3(X4,X3,X1))))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2686]) ).
cnf(c_0_2687_0,axiom,
( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3),X4),X5))
| ~ hBOOL(hAPP(X3,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2687]) ).
cnf(c_0_2687_1,axiom,
( ~ hBOOL(hAPP(X3,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,tc_HOL_Obool,X3),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2687]) ).
cnf(c_0_2689_0,axiom,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk90_2(X2,X1)),sk1_esk92_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2689]) ).
cnf(c_0_2689_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk90_2(X2,X1)),sk1_esk92_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2689]) ).
cnf(c_0_2690_0,axiom,
( c_Relation_Otrans(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk46_2(X2,X1)),sk1_esk48_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2690]) ).
cnf(c_0_2690_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk46_2(X2,X1)),sk1_esk48_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2690]) ).
cnf(c_0_2691_0,axiom,
( c_Nitpick_Orefl_H(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk2_2(X2,X1)),sk1_esk2_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2691]) ).
cnf(c_0_2691_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk2_2(X2,X1)),sk1_esk2_2(X2,X1))),X2))
| c_Nitpick_Orefl_H(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2691]) ).
cnf(c_0_2692_0,axiom,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2692_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2692_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),sk1_esk34_5(X5,X4,X3,X2,X1)) = X4
| X4 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2693_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2693]) ).
cnf(c_0_2693_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2693]) ).
cnf(c_0_2693_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X4),sk1_esk33_5(X5,X4,X3,X2,X1)) = X2
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2693]) ).
cnf(c_0_2694_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X7))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,X6),X7))) ),
inference(literals_permutation,[status(thm)],[c_0_2694]) ).
cnf(c_0_2694_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(X5,X6),X7)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X3,X4,tc_fun(X1,tc_HOL_Obool)),X5),hAPP(hAPP(c_Product__Type_OPair(X3,X4),X6),X7)))) ),
inference(literals_permutation,[status(thm)],[c_0_2694]) ).
cnf(c_0_2695_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Oappend(X1),X2),X3))),c_List_Olexord(X1,X4)))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2695]) ).
cnf(c_0_2695_1,axiom,
( X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),hAPP(hAPP(c_List_Oappend(X1),X2),X3))),c_List_Olexord(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2695]) ).
cnf(c_0_2698_0,axiom,
( ~ hBOOL(hAPP(X1,c_List_Onth(X2,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2698]) ).
cnf(c_0_2698_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X3))
| ~ hBOOL(hAPP(X1,c_List_Onth(X2,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X1,X3))))) ),
inference(literals_permutation,[status(thm)],[c_0_2698]) ).
cnf(c_0_2699_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2699]) ).
cnf(c_0_2699_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2699]) ).
cnf(c_0_2699_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X1)),X2),c_FuncSet_OPi(X5,X1,X6,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2699]) ).
cnf(c_0_2700_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X1,X4,X3,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2700]) ).
cnf(c_0_2700_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(X6,X2)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X1,X4,X3,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2700]) ).
cnf(c_0_2700_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X4)),X5),c_FuncSet_OPi(X1,X4,X3,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_member(X4),hAPP(X5,X2)),hAPP(X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2700]) ).
cnf(c_0_2701_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2701]) ).
cnf(c_0_2701_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2701]) ).
cnf(c_0_2701_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2701]) ).
cnf(c_0_2702_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2702]) ).
cnf(c_0_2702_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2702]) ).
cnf(c_0_2702_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X4),hAPP(X6,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X2)),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4)),c_Product__Type_OSigma(X1,X2,X5,X6))) ),
inference(literals_permutation,[status(thm)],[c_0_2702]) ).
cnf(c_0_2703_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2703]) ).
cnf(c_0_2703_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2703]) ).
cnf(c_0_2704_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2704]) ).
cnf(c_0_2704_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2704]) ).
cnf(c_0_2705_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5))))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2705]) ).
cnf(c_0_2705_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,hAPP(hAPP(c_List_Olist_OCons(tc_fun(X1,tc_Nat_Onat)),X4),X5)))) ),
inference(literals_permutation,[status(thm)],[c_0_2705]) ).
cnf(c_0_2706_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2706]) ).
cnf(c_0_2706_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2706]) ).
cnf(c_0_2706_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2706]) ).
cnf(c_0_2707_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2707_1,axiom,
( X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2707_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2709_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2709_1,axiom,
( X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2709_2,axiom,
( X2 = X4
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2709_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X2 = X4
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2710_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2710_1,axiom,
( X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2710_2,axiom,
( X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2710_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2711_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2711_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2711_2,axiom,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2711_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2712_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2712_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2712_2,axiom,
( X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2712_3,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X3))
| X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2713_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk96_4(X4,X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2713_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk96_4(X4,X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4)))
| c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2713_2,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2) != c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk96_4(X4,X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X3)),c_List_Olistrel(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2714_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2714]) ).
cnf(c_0_2714_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2714]) ).
cnf(c_0_2715_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2715]) ).
cnf(c_0_2715_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_P_H____,X1)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2715]) ).
cnf(c_0_2716_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2716]) ).
cnf(c_0_2716_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2716]) ).
cnf(c_0_2716_2,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk18_1(X1))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk20_1(X1)),sk1_esk21_1(X1))),hAPP(X1,sk1_esk19_1(X1))))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2716]) ).
cnf(c_0_2717_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X1),X2),X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2717]) ).
cnf(c_0_2717_1,axiom,
( X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X1),X2),X3)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2717]) ).
cnf(c_0_2717_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X1),X2),X3)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2717]) ).
cnf(c_0_2718_0,axiom,
( hAPP(X4,sk1_esk83_4(X5,X4,X3,X2)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2718]) ).
cnf(c_0_2718_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| hAPP(X4,sk1_esk83_4(X5,X4,X3,X2)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2718]) ).
cnf(c_0_2719_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_5,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2719_6,axiom,
( X4 != X1
| X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2720_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_4,axiom,
( X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2720_6,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X1
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2721_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2721_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X4 = X5
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2721_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 = X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2721_3,axiom,
( X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2721_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2
| X5 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2721_5,axiom,
( X5 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X1
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,X3),X1),X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2722_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2722_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2722_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2723_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2723_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2723_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2724_0,axiom,
( hAPP(X1,X2) = hAPP(X2,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| hAPP(X1,X2) = hAPP(X2,X3)
| ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_2,axiom,
( ~ c_Arrow__Order__Mirabelle_Odictator(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
| hAPP(X1,X2) = hAPP(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2725_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X1
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_5,axiom,
( X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_6,axiom,
( X5 != X2
| X4 != X1
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2726_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_4,axiom,
( X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_5,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X5 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2726_6,axiom,
( X5 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X5 = X2
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2727_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X5
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_2,axiom,
( X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_3,axiom,
( X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_4,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2727_5,axiom,
( X4 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3),c_Arrow__Order__Mirabelle_OLin))
| X4 = X2
| X4 = X5
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X5)),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2728_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2728]) ).
cnf(c_0_2728_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2728]) ).
cnf(c_0_2728_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2728]) ).
cnf(c_0_2729_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2729_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2729_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2731_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| X2 = X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2731_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2731_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2732_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2732_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2732_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X5,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X4,X1),tc_HOL_Obool),c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)),c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2733_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2733_1,axiom,
( X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2733_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| X2 = X3
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2734_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2734]) ).
cnf(c_0_2734_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2734]) ).
cnf(c_0_2735_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2735]) ).
cnf(c_0_2735_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2735]) ).
cnf(c_0_2736_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2736]) ).
cnf(c_0_2736_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X3)),hAPP(hAPP(c_Product__Type_OPair(X1,X3),X2),X5)),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2736]) ).
cnf(c_0_2737_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2737]) ).
cnf(c_0_2737_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X1)),hAPP(hAPP(c_Product__Type_OPair(X3,X1),X5),X2)),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ORange(X3,X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2737]) ).
cnf(c_0_2739_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olexord(X1,X3)))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2739]) ).
cnf(c_0_2739_1,axiom,
( X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olexord(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2739]) ).
cnf(c_0_2741_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2741]) ).
cnf(c_0_2741_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2741]) ).
cnf(c_0_2742_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),c_Wellfounded_Omeasure(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2742]) ).
cnf(c_0_2742_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X4,X4)),hAPP(hAPP(c_Product__Type_OPair(X4,X4),X2),X3)),c_Wellfounded_Omeasure(X4,X1)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X1,X2),hAPP(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2742]) ).
cnf(c_0_2744_0,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk15_1(X1)),sk1_esk16_1(X1))),hAPP(X1,sk1_esk14_1(X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_2744]) ).
cnf(c_0_2744_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk15_1(X1)),sk1_esk16_1(X1))),hAPP(X1,sk1_esk14_1(X1))))
| c_Arrow__Order__Mirabelle_Ounanimity(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2744]) ).
cnf(c_0_2745_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2745]) ).
cnf(c_0_2745_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2745]) ).
cnf(c_0_2746_0,axiom,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk90_2(X2,X1)),sk1_esk91_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2746]) ).
cnf(c_0_2746_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk90_2(X2,X1)),sk1_esk91_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2746]) ).
cnf(c_0_2747_0,axiom,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk91_2(X2,X1)),sk1_esk92_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2747]) ).
cnf(c_0_2747_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk91_2(X2,X1)),sk1_esk92_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2747]) ).
cnf(c_0_2748_0,axiom,
( c_Relation_Oirrefl(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk49_2(X2,X1)),sk1_esk49_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2748]) ).
cnf(c_0_2748_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk49_2(X2,X1)),sk1_esk49_2(X2,X1))),X2))
| c_Relation_Oirrefl(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2748]) ).
cnf(c_0_2749_0,axiom,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk46_2(X2,X1)),sk1_esk47_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2749]) ).
cnf(c_0_2749_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk46_2(X2,X1)),sk1_esk47_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2749]) ).
cnf(c_0_2750_0,axiom,
( c_Relation_Otrans(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2750]) ).
cnf(c_0_2750_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))),X2))
| c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2750]) ).
cnf(c_0_2751_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Relation_Oirrefl(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2751]) ).
cnf(c_0_2751_1,axiom,
( ~ c_Relation_Oirrefl(X1,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2751]) ).
cnf(c_0_2752_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2752]) ).
cnf(c_0_2752_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(X1,X2)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2752]) ).
cnf(c_0_2753_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2753]) ).
cnf(c_0_2753_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(X1,X2)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2753]) ).
cnf(c_0_2754_0,axiom,
( c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),c_List_Olast(X1,X2))),X2) = c_List_Obutlast(X1,X2)
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2754_1,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),c_List_Olast(X1,X2))),X2) = c_List_Obutlast(X1,X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2754_2,axiom,
( ~ c_List_Odistinct(X1,X2)
| X2 = c_List_Olist_ONil(X1)
| c_List_OtakeWhile(X1,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),c_List_Olast(X1,X2))),X2) = c_List_Obutlast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2755_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2755]) ).
cnf(c_0_2755_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2755]) ).
cnf(c_0_2756_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2756_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2756_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2757_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X2
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2757_1,axiom,
( X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2757_2,axiom,
( X2 != X4
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2758_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X2
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2758_1,axiom,
( X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2758_2,axiom,
( X1 != X4
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2760_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2760_1,axiom,
( X1 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2761_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2761_1,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2762_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2762_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2762_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X3),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2763_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,tc_HOL_Obool),X1),hAPP(hAPP(c_Product__Type_OPair(X4,X5),X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2763_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X4,X5,tc_HOL_Obool),X1),hAPP(hAPP(c_Product__Type_OPair(X4,X5),X2),X3)))
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2764_0,axiom,
( X4 = X5
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Product__Type_OSigma(X6,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) != c_Product__Type_OSigma(X6,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2764_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X4 = X5
| c_Product__Type_OSigma(X6,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) != c_Product__Type_OSigma(X6,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2764_2,axiom,
( c_Product__Type_OSigma(X6,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3)) != c_Product__Type_OSigma(X6,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X6,X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X4 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2766_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2766_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omlex__prod(X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2767_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2767_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2767_2,axiom,
( X2 != X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X4)),c_Transitive__Closure_Ortrancl(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Relation_ODomain(X1,X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2768_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk22_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(literals_permutation,[status(thm)],[c_0_2768]) ).
cnf(c_0_2768_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk22_2(X2,X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2768]) ).
cnf(c_0_2769_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2769]) ).
cnf(c_0_2769_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2769]) ).
cnf(c_0_2771_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk18_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(literals_permutation,[status(thm)],[c_0_2771]) ).
cnf(c_0_2771_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk18_1(X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2771]) ).
cnf(c_0_2772_0,axiom,
( c_Arrow__Order__Mirabelle_OIIA(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk19_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(literals_permutation,[status(thm)],[c_0_2772]) ).
cnf(c_0_2772_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk19_1(X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_OIIA(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2772]) ).
cnf(c_0_2773_0,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk14_1(X1)),c_Arrow__Order__Mirabelle_OProf)) ),
inference(literals_permutation,[status(thm)],[c_0_2773]) ).
cnf(c_0_2773_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),sk1_esk14_1(X1)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Ounanimity(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2773]) ).
cnf(c_0_2774_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2774_1,axiom,
( X2 != hAPP(X4,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2774_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| X2 != hAPP(X4,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2775_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2775]) ).
cnf(c_0_2775_1,axiom,
( X2 != hAPP(X4,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2775]) ).
cnf(c_0_2775_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| X2 != hAPP(X4,X6)
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2775]) ).
cnf(c_0_2776_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| X2 != hAPP(X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2776]) ).
cnf(c_0_2776_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5)))
| X2 != hAPP(X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2776]) ).
cnf(c_0_2776_2,axiom,
( X2 != hAPP(X4,X6)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X6),X5))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2776]) ).
cnf(c_0_2779_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2779]) ).
cnf(c_0_2779_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2779]) ).
cnf(c_0_2779_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2779]) ).
cnf(c_0_2780_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2780]) ).
cnf(c_0_2780_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2780]) ).
cnf(c_0_2780_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2780]) ).
cnf(c_0_2781_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2781]) ).
cnf(c_0_2781_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4)))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2781]) ).
cnf(c_0_2781_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Relation_OId__on(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2781]) ).
cnf(c_0_2782_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omeasure(X1,X4)))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2782]) ).
cnf(c_0_2782_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4,X2),hAPP(X4,X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_Wellfounded_Omeasure(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2782]) ).
cnf(c_0_2783_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X5,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2783]) ).
cnf(c_0_2783_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(X1,X2),tc_HOL_Obool),c_FuncSet_OPi(X1,X2,X3,X4),c_FuncSet_OPi(X1,X2,X5,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2783]) ).
cnf(c_0_2787_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),c_Set_Oimage(X2,X1,X3,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2787]) ).
cnf(c_0_2787_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X5)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,X4),c_Set_Oimage(X2,X1,X3,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2787]) ).
cnf(c_0_2788_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2788]) ).
cnf(c_0_2788_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2788]) ).
cnf(c_0_2789_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2789_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2790_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2790]) ).
cnf(c_0_2790_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2790]) ).
cnf(c_0_2791_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2791]) ).
cnf(c_0_2791_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2791]) ).
cnf(c_0_2792_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2792]) ).
cnf(c_0_2792_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2792]) ).
cnf(c_0_2793_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2793]) ).
cnf(c_0_2793_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2793]) ).
cnf(c_0_2794_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2794]) ).
cnf(c_0_2794_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2794]) ).
cnf(c_0_2795_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2795]) ).
cnf(c_0_2795_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2795]) ).
cnf(c_0_2796_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2796]) ).
cnf(c_0_2796_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2796]) ).
cnf(c_0_2798_0,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity(X1)
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk15_1(X1)),sk1_esk16_1(X1))),hAPP(sk1_esk14_1(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2798_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sk1_esk15_1(X1)),sk1_esk16_1(X1))),hAPP(sk1_esk14_1(X1),X2)))
| c_Arrow__Order__Mirabelle_Ounanimity(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2799_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2799]) ).
cnf(c_0_2799_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2799]) ).
cnf(c_0_2799_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X3),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2799]) ).
cnf(c_0_2800_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk65_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2800_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk65_3(X3,X2,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2801_0,axiom,
( X1 = X2
| hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2801_1,axiom,
( hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X1) != hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_HOL_Obool),tc_HOL_Obool),c_member(X3)),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2803_0,axiom,
( c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X2),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),sk1_esk9_2(X2,X1)),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt)))))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2803_1,axiom,
( X1 = X2
| c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X1),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),X2),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),sk1_esk9_2(X2,X1)),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))) ),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2804_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| X2 != c_Set_Oimage(X3,X1,X4,X6)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2804_1,axiom,
( X2 != c_Set_Oimage(X3,X1,X4,X6)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2804_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X6,X5)
| X2 != c_Set_Oimage(X3,X1,X4,X6)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oimage(X3,X1,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2805_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk62_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2805]) ).
cnf(c_0_2805_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk62_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2805]) ).
cnf(c_0_2806_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk61_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2806]) ).
cnf(c_0_2806_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk61_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2806]) ).
cnf(c_0_2807_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk55_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2807]) ).
cnf(c_0_2807_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),sk1_esk55_3(X3,X2,X1)),c_Wellfounded_Oacc(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),c_Wellfounded_Oacc(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2807]) ).
cnf(c_0_2808_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2808]) ).
cnf(c_0_2808_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),c_List_Olists(X1,X4)))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2808]) ).
cnf(c_0_2809_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3))
| ~ c_Nitpick_Orefl_H(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2809]) ).
cnf(c_0_2809_1,axiom,
( ~ c_Nitpick_Orefl_H(X1,X3)
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2809]) ).
cnf(c_0_2810_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2810]) ).
cnf(c_0_2810_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2810]) ).
cnf(c_0_2810_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2810]) ).
cnf(c_0_2811_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2811]) ).
cnf(c_0_2811_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2811]) ).
cnf(c_0_2811_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2811]) ).
cnf(c_0_2812_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk100_4(X4,X2,X3,X1),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2812_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk100_4(X4,X2,X3,X1),X1)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2812_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk100_4(X4,X2,X3,X1),X1)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Nat_Osize__class_Osize(tc_List_Olist(X2),c_List_OtakeWhile(X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2812]) ).
cnf(c_0_2813_0,axiom,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2813]) ).
cnf(c_0_2813_1,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X4),X5))
| hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2813]) ).
cnf(c_0_2814_0,axiom,
( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5)))
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2814]) ).
cnf(c_0_2814_1,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X4),X5))
| hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_HOL_Obool),X3),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2814]) ).
cnf(c_0_2815_0,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk65_3(X3,X2,X1)),sk1_esk65_3(X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2815]) ).
cnf(c_0_2815_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Relation_OId__on(X1,X3)))
| hAPP(hAPP(c_Product__Type_OPair(X1,X1),sk1_esk65_3(X3,X2,X1)),sk1_esk65_3(X3,X2,X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2815]) ).
cnf(c_0_2816_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2816]) ).
cnf(c_0_2816_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X1),X4),X2))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2816]) ).
cnf(c_0_2817_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2817_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool)),X4),X1),X2))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2817]) ).
cnf(c_0_2818_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2818_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2818]) ).
cnf(c_0_2819_0,axiom,
( hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2819]) ).
cnf(c_0_2819_1,axiom,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| hBOOL(hAPP(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2819]) ).
cnf(c_0_2820_0,axiom,
( c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) = c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X5 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_2820]) ).
cnf(c_0_2820_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) = c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3))
| X5 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_2820]) ).
cnf(c_0_2820_2,axiom,
( X5 != X6
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| c_Product__Type_OSigma(X4,X1,X5,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) = c_Product__Type_OSigma(X4,X1,X6,c_COMBK(tc_fun(X1,tc_HOL_Obool),X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2820]) ).
cnf(c_0_2821_0,axiom,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2821_1,axiom,
( ~ c_List_Olistrelp(X1,X2,X4,X6)
| c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2821_2,axiom,
( ~ hBOOL(hAPP(hAPP(X2,X3),X5))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2821]) ).
cnf(c_0_2822_0,axiom,
( c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2822_1,axiom,
( ~ c_List_Olistrelp(X1,X2,X4,X6)
| c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| ~ hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2822_2,axiom,
( ~ hBOOL(hAPP(hAPP(X2,X3),X5))
| ~ c_List_Olistrelp(X1,X2,X4,X6)
| c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2822]) ).
cnf(c_0_2823_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),sk1_esk64_3(X3,X2,X1)),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2823_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),sk1_esk64_3(X3,X2,X1)),c_List_Olists(X1,X3)))
| X2 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2823_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),sk1_esk64_3(X3,X2,X1)),c_List_Olists(X1,X3)))
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2823]) ).
cnf(c_0_2824_0,axiom,
( c_List_Olistrelp(X1,X2,X4,X6)
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2824]) ).
cnf(c_0_2824_1,axiom,
( ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| c_List_Olistrelp(X1,X2,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2824]) ).
cnf(c_0_2825_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X2 = X4
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2825]) ).
cnf(c_0_2825_1,axiom,
( X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 = X4
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2825]) ).
cnf(c_0_2825_2,axiom,
( X2 = X4
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2825]) ).
cnf(c_0_2825_3,axiom,
( X2 != X4
| X2 = X4
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2825]) ).
cnf(c_0_2826_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X4
| X1 = X2
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2826]) ).
cnf(c_0_2826_1,axiom,
( X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X1 = X2
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2826]) ).
cnf(c_0_2826_2,axiom,
( X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2826]) ).
cnf(c_0_2826_3,axiom,
( X2 != X4
| X1 = X2
| X1 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omktop(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2826]) ).
cnf(c_0_2827_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X4
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2827]) ).
cnf(c_0_2827_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X4
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2827]) ).
cnf(c_0_2827_2,axiom,
( X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2827]) ).
cnf(c_0_2827_3,axiom,
( X1 != X4
| X1 = X4
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2827]) ).
cnf(c_0_2828_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X2 = X4
| X1 = X2
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2828]) ).
cnf(c_0_2828_1,axiom,
( X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 = X2
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2828]) ).
cnf(c_0_2828_2,axiom,
( X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4)))
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2828]) ).
cnf(c_0_2828_3,axiom,
( X1 != X4
| X1 = X2
| X2 = X4
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),c_Arrow__Order__Mirabelle_Omkbot(X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2828]) ).
cnf(c_0_2830_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),sk1_esk25_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2830]) ).
cnf(c_0_2830_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),sk1_esk25_2(X2,X1)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2830]) ).
cnf(c_0_2832_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2832]) ).
cnf(c_0_2832_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2832]) ).
cnf(c_0_2832_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2832]) ).
cnf(c_0_2833_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk63_3(X3,X2,X1)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2833]) ).
cnf(c_0_2833_1,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),sk1_esk63_3(X3,X2,X1)),X3))
| X2 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2833]) ).
cnf(c_0_2833_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(X1),sk1_esk63_3(X3,X2,X1)),X3))
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2833]) ).
cnf(c_0_2834_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2834]) ).
cnf(c_0_2834_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),X3))
| hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),X2),c_Transitive__Closure_Ortrancl(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2834]) ).
cnf(c_0_2836_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_2836]) ).
cnf(c_0_2836_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_2836]) ).
cnf(c_0_2837_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_2837]) ).
cnf(c_0_2837_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,c_Wellfounded_Oacc(X1,X3))))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_Wellfounded_Oacc(tc_List_Olist(X1),c_List_Olistrel1(X1,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_2837]) ).
cnf(c_0_2838_0,axiom,
( hBOOL(hAPP(hAPP(X2,X3),X5))
| ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_2838]) ).
cnf(c_0_2838_1,axiom,
( ~ c_List_Olistrelp(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),X6))
| hBOOL(hAPP(hAPP(X2,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2838]) ).
cnf(c_0_2839_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2839_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2839_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2839_3,axiom,
( X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X5),X3))
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X4),c_List_Olists(X1,X3)))
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2839]) ).
cnf(c_0_2840_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5)))
| ~ hBOOL(hAPP(X1,sk1_esk3_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2840]) ).
cnf(c_0_2840_1,axiom,
( ~ hBOOL(hAPP(X1,sk1_esk3_3(X3,X2,X1)))
| hBOOL(hAPP(X1,hAPP(hAPP(c_Product__Type_OPair(X2,X3),X4),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_2840]) ).
cnf(c_0_2841_0,axiom,
( c_Relation_Otrans(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))
| ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2841]) ).
cnf(c_0_2841_1,axiom,
( ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3))
| ~ c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2841]) ).
cnf(c_0_2841_2,axiom,
( ~ c_Relation_Otrans(X1,X2)
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2841]) ).
cnf(c_0_2842_0,axiom,
( c_List_OdropWhile(X1,X2,X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hBOOL(hAPP(X2,X4))
| hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2842]) ).
cnf(c_0_2842_1,axiom,
( hBOOL(hAPP(X2,X4))
| c_List_OdropWhile(X1,X2,X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2842]) ).
cnf(c_0_2842_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) != X3
| hBOOL(hAPP(X2,X4))
| c_List_OdropWhile(X1,X2,X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2842]) ).
cnf(c_0_2843_0,axiom,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sk1_esk25_2(X2,X1)),c_Arrow__Order__Mirabelle_OLin)) ),
inference(literals_permutation,[status(thm)],[c_0_2843]) ).
cnf(c_0_2843_1,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sk1_esk25_2(X2,X1)),c_Arrow__Order__Mirabelle_OLin))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2843]) ).
cnf(c_0_2844_0,axiom,
( hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2844]) ).
cnf(c_0_2844_1,axiom,
( X2 != X3
| hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2844]) ).
cnf(c_0_2845_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk63_3(X3,X2,X1)),sk1_esk64_3(X3,X2,X1)) = X2
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2845_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk63_3(X3,X2,X1)),sk1_esk64_3(X3,X2,X1)) = X2
| X2 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2845_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk63_3(X3,X2,X1)),sk1_esk64_3(X3,X2,X1)) = X2
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2845]) ).
cnf(c_0_2846_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2846]) ).
cnf(c_0_2846_1,axiom,
( ~ hBOOL(hAPP(X3,X4))
| hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2846]) ).
cnf(c_0_2846_2,axiom,
( ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X3,X4))
| hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2846]) ).
cnf(c_0_2847_0,axiom,
( c_List_Onth(X1,c_List_OtakeWhile(X1,X2,X3),X4) = c_List_Onth(X1,X3,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_2847]) ).
cnf(c_0_2847_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3)))
| c_List_Onth(X1,c_List_OtakeWhile(X1,X2,X3),X4) = c_List_Onth(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2847]) ).
cnf(c_0_2852_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2852_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2852_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2852]) ).
cnf(c_0_2853_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,sk1_esk60_3(X3,X2,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2853_1,axiom,
( hBOOL(hAPP(hAPP(X2,sk1_esk60_3(X3,X2,X1)),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2853]) ).
cnf(c_0_2854_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X2,sk1_esk59_3(X3,X2,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2854_1,axiom,
( hBOOL(hAPP(hAPP(X2,sk1_esk59_3(X3,X2,X1)),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2854]) ).
cnf(c_0_2856_0,axiom,
( c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
| ~ c_Relation_Otrans(X2,X4)
| ~ c_Relation_Otrans(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2856]) ).
cnf(c_0_2856_1,axiom,
( ~ c_Relation_Otrans(X2,X4)
| c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))
| ~ c_Relation_Otrans(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2856]) ).
cnf(c_0_2856_2,axiom,
( ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Otrans(X2,X4)
| c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2856]) ).
cnf(c_0_2857_0,axiom,
( hBOOL(hAPP(hAPP(X1,sk1_esk58_2(X2,X1)),X2))
| ~ c_Predicate_ORangeP(X3,X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2857]) ).
cnf(c_0_2857_1,axiom,
( ~ c_Predicate_ORangeP(X3,X4,X1,X2)
| hBOOL(hAPP(hAPP(X1,sk1_esk58_2(X2,X1)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2857]) ).
cnf(c_0_2858_0,axiom,
( X1 = X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| c_List_Onth(X3,X1,sk1_esk97_3(X3,X2,X1)) != c_List_Onth(X3,X2,sk1_esk97_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2858]) ).
cnf(c_0_2858_1,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 = X2
| c_List_Onth(X3,X1,sk1_esk97_3(X3,X2,X1)) != c_List_Onth(X3,X2,sk1_esk97_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2858]) ).
cnf(c_0_2858_2,axiom,
( c_List_Onth(X3,X1,sk1_esk97_3(X3,X2,X1)) != c_List_Onth(X3,X2,sk1_esk97_3(X3,X2,X1))
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2858]) ).
cnf(c_0_2863_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),sk1_esk60_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2863]) ).
cnf(c_0_2863_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),sk1_esk60_3(X3,X2,X1)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2863]) ).
cnf(c_0_2864_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),sk1_esk59_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2864]) ).
cnf(c_0_2864_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),sk1_esk59_3(X3,X2,X1)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2864]) ).
cnf(c_0_2865_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2865]) ).
cnf(c_0_2865_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2865]) ).
cnf(c_0_2865_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2865]) ).
cnf(c_0_2866_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = X3
| c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2866]) ).
cnf(c_0_2866_1,axiom,
( c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2866]) ).
cnf(c_0_2867_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2867]) ).
cnf(c_0_2867_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2867]) ).
cnf(c_0_2868_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2868]) ).
cnf(c_0_2868_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2868]) ).
cnf(c_0_2869_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2869]) ).
cnf(c_0_2869_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2869]) ).
cnf(c_0_2870_0,axiom,
( X2 = X4
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2870]) ).
cnf(c_0_2870_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2870]) ).
cnf(c_0_2871_0,axiom,
( X3 = X5
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2871]) ).
cnf(c_0_2871_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2871]) ).
cnf(c_0_2872_0,axiom,
( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X5) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X6)
| X5 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_2872]) ).
cnf(c_0_2872_1,axiom,
( X5 != X6
| hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X5) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2872]) ).
cnf(c_0_2873_0,axiom,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk81_3(X3,X2,X1)),sk1_esk82_3(X3,X2,X1)) = X3
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2873]) ).
cnf(c_0_2873_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk81_3(X3,X2,X1)),sk1_esk82_3(X3,X2,X1)) = X3
| X3 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2873]) ).
cnf(c_0_2873_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| hAPP(hAPP(c_List_Olist_OCons(X1),sk1_esk81_3(X3,X2,X1)),sk1_esk82_3(X3,X2,X1)) = X3
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2873]) ).
cnf(c_0_2874_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2874]) ).
cnf(c_0_2874_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2874]) ).
cnf(c_0_2876_0,axiom,
( X3 = X4
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2876_1,axiom,
( c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| X3 = X4
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2876_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| X3 = X4
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2876_3,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| X3 = X4
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2876_4,axiom,
( ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| X3 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2876]) ).
cnf(c_0_2877_0,axiom,
( X3 = X4
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2877_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| X3 = X4
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2877_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| X3 = X4
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2877_3,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| X3 = X4
| c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2877_4,axiom,
( c_List_Onth(X1,X2,X3) != c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| X3 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2877]) ).
cnf(c_0_2878_0,axiom,
( hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2878]) ).
cnf(c_0_2878_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2878]) ).
cnf(c_0_2879_0,axiom,
( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2879]) ).
cnf(c_0_2879_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2879]) ).
cnf(c_0_2879_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2879]) ).
cnf(c_0_2883_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2883]) ).
cnf(c_0_2883_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2883]) ).
cnf(c_0_2883_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2883]) ).
cnf(c_0_2883_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2883]) ).
cnf(c_0_2884_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2884_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2884_2,axiom,
( ~ hBOOL(hAPP(X2,X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_2884]) ).
cnf(c_0_2885_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2885]) ).
cnf(c_0_2885_1,axiom,
( ~ class_Lattices_Olattice(X2)
| hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2885]) ).
cnf(c_0_2886_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5))
| ~ class_Lattices_Olattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2886]) ).
cnf(c_0_2886_1,axiom,
( ~ class_Lattices_Olattice(X2)
| hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,X2)),X3),X4),X5) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X2),hAPP(X3,X5)),hAPP(X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2886]) ).
cnf(c_0_2887_0,axiom,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))) = c_List_OtakeWhile(X1,X2,X3)
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2887]) ).
cnf(c_0_2887_1,axiom,
( hBOOL(hAPP(X2,X4))
| c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5))) = c_List_OtakeWhile(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2887]) ).
cnf(c_0_2888_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2888]) ).
cnf(c_0_2888_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2888]) ).
cnf(c_0_2888_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2888]) ).
cnf(c_0_2888_3,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X5)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2888]) ).
cnf(c_0_2889_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,X2),c_List_Olistrel1(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2889]) ).
cnf(c_0_2889_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,X2),c_List_Olistrel1(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2889]) ).
cnf(c_0_2890_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_List_Olistrel(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2890]) ).
cnf(c_0_2890_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_List_Olistrel(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2890]) ).
cnf(c_0_2891_0,axiom,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(c_List_Olistsp(X1,X2),sk1_esk82_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_1,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),sk1_esk82_3(X3,X2,X1)))
| X3 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2891_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),sk1_esk82_3(X3,X2,X1)))
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2891]) ).
cnf(c_0_2892_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2892]) ).
cnf(c_0_2892_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2892]) ).
cnf(c_0_2893_0,axiom,
( c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2893_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2893_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2893_3,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4)
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2893_4,axiom,
( X3 != X4
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| ~ c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,X3) = c_List_Onth(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2893]) ).
cnf(c_0_2894_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2894]) ).
cnf(c_0_2894_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2894]) ).
cnf(c_0_2895_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2895]) ).
cnf(c_0_2895_1,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2895]) ).
cnf(c_0_2896_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2896]) ).
cnf(c_0_2896_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2896]) ).
cnf(c_0_2899_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2899_1,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2899_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X6,tc_HOL_Obool)),X4,X1)
| ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2899]) ).
cnf(c_0_2900_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
| ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2900]) ).
cnf(c_0_2900_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X6,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2900]) ).
cnf(c_0_2900_2,axiom,
( ~ hBOOL(hAPP(hAPP(X6,X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_fun(X5,tc_HOL_Obool)),X6,X1)
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2900]) ).
cnf(c_0_2902_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2902]) ).
cnf(c_0_2902_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2902]) ).
cnf(c_0_2902_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2902]) ).
cnf(c_0_2903_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2903]) ).
cnf(c_0_2903_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2903]) ).
cnf(c_0_2903_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2903]) ).
cnf(c_0_2904_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2904]) ).
cnf(c_0_2904_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2904]) ).
cnf(c_0_2904_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2904]) ).
cnf(c_0_2905_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2905]) ).
cnf(c_0_2905_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2905]) ).
cnf(c_0_2905_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2905]) ).
cnf(c_0_2906_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2906]) ).
cnf(c_0_2906_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2906]) ).
cnf(c_0_2906_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2906]) ).
cnf(c_0_2907_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2907_1,axiom,
( hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2907_2,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2907_3,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2907]) ).
cnf(c_0_2908_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2908_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2908_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2908_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2908]) ).
cnf(c_0_2909_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2909]) ).
cnf(c_0_2909_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2909]) ).
cnf(c_0_2910_0,axiom,
( X3 = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,sk1_esk81_3(X3,X2,X1)))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2910]) ).
cnf(c_0_2910_1,axiom,
( hBOOL(hAPP(X2,sk1_esk81_3(X3,X2,X1)))
| X3 = c_List_Olist_ONil(X1)
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2910]) ).
cnf(c_0_2910_2,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| hBOOL(hAPP(X2,sk1_esk81_3(X3,X2,X1)))
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2910]) ).
cnf(c_0_2911_0,axiom,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2911]) ).
cnf(c_0_2911_1,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
| c_Predicate_ORangeP(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2911]) ).
cnf(c_0_2912_0,axiom,
( c_Predicate_ODomainP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_2912]) ).
cnf(c_0_2912_1,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X4),X5))
| c_Predicate_ODomainP(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2912]) ).
cnf(c_0_2913_0,axiom,
( c_Predicate_ORangeP(X1,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2913]) ).
cnf(c_0_2913_1,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
| c_Predicate_ORangeP(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2913]) ).
cnf(c_0_2915_0,axiom,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_OtakeWhile(X1,X2,X4))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2915]) ).
cnf(c_0_2915_1,axiom,
( ~ hBOOL(hAPP(X2,X3))
| c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_OtakeWhile(X1,X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2915]) ).
cnf(c_0_2921_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| ~ c_Relation_Osingle__valued(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2921]) ).
cnf(c_0_2921_1,axiom,
( ~ c_Relation_Osingle__valued(X1,X2,X4)
| c_Relation_Osingle__valued(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2921]) ).
cnf(c_0_2921_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)
| ~ c_Relation_Osingle__valued(X1,X2,X4)
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2921]) ).
cnf(c_0_2922_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| ~ hBOOL(hAPP(X2,X5))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2922]) ).
cnf(c_0_2922_1,axiom,
( ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| ~ hBOOL(hAPP(X2,X5))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2922]) ).
cnf(c_0_2922_2,axiom,
( ~ hBOOL(hAPP(X2,X5))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2922]) ).
cnf(c_0_2922_3,axiom,
( X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X5),X4)
| ~ hBOOL(hAPP(X2,X5))
| ~ hBOOL(hAPP(c_List_Olistsp(X1,X2),X4))
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2922]) ).
cnf(c_0_2923_0,axiom,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2923]) ).
cnf(c_0_2923_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2923]) ).
cnf(c_0_2923_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2923]) ).
cnf(c_0_2923_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2923]) ).
cnf(c_0_2926_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2926]) ).
cnf(c_0_2926_1,axiom,
( ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2926]) ).
cnf(c_0_2926_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2926]) ).
cnf(c_0_2927_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2927]) ).
cnf(c_0_2927_1,axiom,
( ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2927]) ).
cnf(c_0_2927_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2927]) ).
cnf(c_0_2928_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2928]) ).
cnf(c_0_2928_1,axiom,
( ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2928]) ).
cnf(c_0_2928_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(X2,X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2928]) ).
cnf(c_0_2929_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X3 != X5
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2929]) ).
cnf(c_0_2929_1,axiom,
( X3 != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1)))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2929]) ).
cnf(c_0_2929_2,axiom,
( X2 != X4
| X3 != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = hAPP(hAPP(c_List_Oappend(X1),X4),hAPP(hAPP(c_List_Olist_OCons(X1),X5),c_List_Olist_ONil(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2929]) ).
cnf(c_0_2930_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2930]) ).
cnf(c_0_2930_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2930]) ).
cnf(c_0_2930_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2930]) ).
cnf(c_0_2930_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2930]) ).
cnf(c_0_2931_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2931]) ).
cnf(c_0_2931_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2931]) ).
cnf(c_0_2931_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2931]) ).
cnf(c_0_2931_3,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2931]) ).
cnf(c_0_2932_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2932]) ).
cnf(c_0_2932_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2932]) ).
cnf(c_0_2932_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2932]) ).
cnf(c_0_2932_3,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2932]) ).
cnf(c_0_2933_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2933]) ).
cnf(c_0_2933_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2933]) ).
cnf(c_0_2934_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),c_List_Obutlast(X1,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),c_List_Olast(X1,X2)),c_List_Olist_ONil(X1))) = X2
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2934]) ).
cnf(c_0_2934_1,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),c_List_Obutlast(X1,X2)),hAPP(hAPP(c_List_Olist_OCons(X1),c_List_Olast(X1,X2)),c_List_Olist_ONil(X1))) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2934]) ).
cnf(c_0_2935_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oaccp(X1,X2),c_Wellfounded_Oaccp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2935]) ).
cnf(c_0_2935_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_fun(X1,tc_HOL_Obool)),X3,X2)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oaccp(X1,X2),c_Wellfounded_Oaccp(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2935]) ).
cnf(c_0_2936_0,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2936]) ).
cnf(c_0_2936_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2936]) ).
cnf(c_0_2936_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2936]) ).
cnf(c_0_2937_0,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2937]) ).
cnf(c_0_2937_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2937]) ).
cnf(c_0_2937_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2937]) ).
cnf(c_0_2938_0,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2938]) ).
cnf(c_0_2938_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2938]) ).
cnf(c_0_2938_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2938]) ).
cnf(c_0_2939_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2939]) ).
cnf(c_0_2939_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2939]) ).
cnf(c_0_2939_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2939]) ).
cnf(c_0_2940_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2940]) ).
cnf(c_0_2940_1,axiom,
( hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2940]) ).
cnf(c_0_2940_2,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2940]) ).
cnf(c_0_2940_3,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2940]) ).
cnf(c_0_2941_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2941]) ).
cnf(c_0_2941_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2941]) ).
cnf(c_0_2942_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2942]) ).
cnf(c_0_2942_1,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2942]) ).
cnf(c_0_2943_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2943]) ).
cnf(c_0_2943_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2943]) ).
cnf(c_0_2944_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2944]) ).
cnf(c_0_2944_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2944]) ).
cnf(c_0_2944_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2944]) ).
cnf(c_0_2945_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2945]) ).
cnf(c_0_2945_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2945]) ).
cnf(c_0_2945_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2945]) ).
cnf(c_0_2946_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2946]) ).
cnf(c_0_2946_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2946]) ).
cnf(c_0_2946_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2946]) ).
cnf(c_0_2947_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2947]) ).
cnf(c_0_2947_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2947]) ).
cnf(c_0_2947_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2947]) ).
cnf(c_0_2948_0,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2948_1,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2948_2,axiom,
( ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2948_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2948]) ).
cnf(c_0_2950_0,axiom,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2950]) ).
cnf(c_0_2950_1,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2950]) ).
cnf(c_0_2951_0,axiom,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2951]) ).
cnf(c_0_2951_1,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X4 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2951]) ).
cnf(c_0_2952_0,axiom,
( X3 = X5
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2952]) ).
cnf(c_0_2952_1,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_2952]) ).
cnf(c_0_2953_0,axiom,
( X4 = X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2953]) ).
cnf(c_0_2953_1,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) != hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X4 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2953]) ).
cnf(c_0_2954_0,axiom,
( X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X1),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2954]) ).
cnf(c_0_2954_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X2),X1),c_Nat_Osize__class_Osize(tc_List_Olist(X2),X4))
| X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2954]) ).
cnf(c_0_2957_0,axiom,
( c_List_Obutlast(X1,X4) = X2
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2957]) ).
cnf(c_0_2957_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4
| c_List_Obutlast(X1,X4) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2957]) ).
cnf(c_0_2958_0,axiom,
( c_List_Olast(X1,X4) = X3
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2958]) ).
cnf(c_0_2958_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4
| c_List_Olast(X1,X4) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2958]) ).
cnf(c_0_2959_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2959_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2959_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2960_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2960_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2960_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2961_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2961_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2961_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2962_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2962_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2962_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X4))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2963_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_2963_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_2963_2,axiom,
( X2 != X4
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_2964_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2964]) ).
cnf(c_0_2964_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2964]) ).
cnf(c_0_2964_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2964]) ).
cnf(c_0_2965_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2965]) ).
cnf(c_0_2965_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2965]) ).
cnf(c_0_2965_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2965]) ).
cnf(c_0_2966_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2966]) ).
cnf(c_0_2966_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2966]) ).
cnf(c_0_2966_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X1))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2966]) ).
cnf(c_0_2967_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2967_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2967_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X2))
| X1 != X2
| hBOOL(hAPP(hAPP(c_member(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2968_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2968]) ).
cnf(c_0_2968_1,axiom,
( X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2968]) ).
cnf(c_0_2968_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2968]) ).
cnf(c_0_2969_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2969]) ).
cnf(c_0_2969_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2969]) ).
cnf(c_0_2969_2,axiom,
( X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X6)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2969]) ).
cnf(c_0_2970_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2970]) ).
cnf(c_0_2970_1,axiom,
( X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2970]) ).
cnf(c_0_2970_2,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X6) != X4
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2970]) ).
cnf(c_0_2971_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| X2 != hAPP(hAPP(c_List_Oappend(X1),X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2971_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X2 != hAPP(hAPP(c_List_Oappend(X1),X4),X6) ),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2971_2,axiom,
( X2 != hAPP(hAPP(c_List_Oappend(X1),X4),X6)
| hAPP(hAPP(c_List_Oappend(X1),X6),X3) != X5
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2972_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2972_1,axiom,
( X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2972_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2973_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2973]) ).
cnf(c_0_2973_1,axiom,
( X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2973]) ).
cnf(c_0_2973_2,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X6) != X4
| X3 != hAPP(hAPP(c_List_Oappend(X1),X6),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2973]) ).
cnf(c_0_2974_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4
| X4 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2974]) ).
cnf(c_0_2974_1,axiom,
( X4 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_2974]) ).
cnf(c_0_2975_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2975]) ).
cnf(c_0_2975_1,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2975]) ).
cnf(c_0_2975_2,axiom,
( hBOOL(hAPP(hAPP(X3,X2),X1))
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2975]) ).
cnf(c_0_2975_3,axiom,
( ~ hBOOL(hAPP(hAPP(X3,X2),X1))
| hBOOL(hAPP(hAPP(X3,X2),X1))
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2975]) ).
cnf(c_0_2976_0,axiom,
( X3 = X2
| hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2976_1,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2976_2,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2976_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
| hBOOL(hAPP(hAPP(X1,X2),X3))
| X3 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2976]) ).
cnf(c_0_2977_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2977]) ).
cnf(c_0_2977_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2977]) ).
cnf(c_0_2978_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2978]) ).
cnf(c_0_2978_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2978]) ).
cnf(c_0_2979_0,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk97_3(X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2979]) ).
cnf(c_0_2979_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk97_3(X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| X1 = X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2979]) ).
cnf(c_0_2979_2,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) != c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk97_3(X3,X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2979]) ).
cnf(c_0_2980_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olists(X1,X2),c_List_Olists(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2980]) ).
cnf(c_0_2980_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olists(X1,X2),c_List_Olists(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2980]) ).
cnf(c_0_2981_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olistsp(X1,X2),c_List_Olistsp(X1,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2981_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(X1),tc_HOL_Obool),c_List_Olistsp(X1,X2),c_List_Olistsp(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2982_0,axiom,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2982]) ).
cnf(c_0_2982_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2982]) ).
cnf(c_0_2982_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2982]) ).
cnf(c_0_2985_0,axiom,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_OdropWhile(X1,X2,X4)
| ~ hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2985]) ).
cnf(c_0_2985_1,axiom,
( ~ hBOOL(hAPP(X2,X3))
| c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_OdropWhile(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2985]) ).
cnf(c_0_2987_0,axiom,
( c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4)
| X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2987]) ).
cnf(c_0_2987_1,axiom,
( X1 != X2
| c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2987]) ).
cnf(c_0_2987_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1))
| X1 != X2
| c_List_Onth(X3,X1,X4) = c_List_Onth(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2987]) ).
cnf(c_0_2989_0,axiom,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2989]) ).
cnf(c_0_2989_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
| c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2989]) ).
cnf(c_0_2989_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X4)
| c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2989]) ).
cnf(c_0_2990_0,axiom,
( c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2990]) ).
cnf(c_0_2990_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2990]) ).
cnf(c_0_2990_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2990]) ).
cnf(c_0_2991_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2991]) ).
cnf(c_0_2991_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2991]) ).
cnf(c_0_2991_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2991]) ).
cnf(c_0_2992_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2992]) ).
cnf(c_0_2992_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2992]) ).
cnf(c_0_2992_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2992]) ).
cnf(c_0_2993_0,axiom,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2993]) ).
cnf(c_0_2993_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2993]) ).
cnf(c_0_2993_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2993]) ).
cnf(c_0_2994_0,axiom,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2994]) ).
cnf(c_0_2994_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2994]) ).
cnf(c_0_2994_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2994]) ).
cnf(c_0_2995_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2995]) ).
cnf(c_0_2995_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(c_fequal,X2)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2995]) ).
cnf(c_0_2996_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2996]) ).
cnf(c_0_2996_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2996]) ).
cnf(c_0_2996_2,axiom,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2996]) ).
cnf(c_0_2997_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2997]) ).
cnf(c_0_2997_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2997]) ).
cnf(c_0_2997_2,axiom,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2997]) ).
cnf(c_0_2998_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2998]) ).
cnf(c_0_2998_1,axiom,
( ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2998]) ).
cnf(c_0_2998_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4)
| ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2998]) ).
cnf(c_0_2999_0,axiom,
( c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)
| hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2999]) ).
cnf(c_0_2999_1,axiom,
( hBOOL(hAPP(X2,X3))
| c_List_OdropWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2999]) ).
cnf(c_0_3000_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3001_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3001]) ).
cnf(c_0_3001_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3001]) ).
cnf(c_0_3001_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3001]) ).
cnf(c_0_3001_3,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3001]) ).
cnf(c_0_3002_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3002]) ).
cnf(c_0_3002_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3002]) ).
cnf(c_0_3002_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3002]) ).
cnf(c_0_3002_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3002]) ).
cnf(c_0_3003_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3003]) ).
cnf(c_0_3003_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3003]) ).
cnf(c_0_3003_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3003]) ).
cnf(c_0_3003_3,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3003]) ).
cnf(c_0_3004_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3004]) ).
cnf(c_0_3004_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3004]) ).
cnf(c_0_3004_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3004]) ).
cnf(c_0_3004_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3004]) ).
cnf(c_0_3005_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3005]) ).
cnf(c_0_3005_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3005]) ).
cnf(c_0_3005_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3005]) ).
cnf(c_0_3005_3,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3005]) ).
cnf(c_0_3006_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3006]) ).
cnf(c_0_3006_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3006]) ).
cnf(c_0_3006_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3006]) ).
cnf(c_0_3006_3,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3006]) ).
cnf(c_0_3007_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3007_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3007_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3007_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3007]) ).
cnf(c_0_3009_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| sk1_esk80_3(X3,X2,X1) != sk1_esk79_3(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3009]) ).
cnf(c_0_3009_1,axiom,
( sk1_esk80_3(X3,X2,X1) != sk1_esk79_3(X3,X2,X1)
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3009]) ).
cnf(c_0_3010_0,axiom,
( c_Relation_Osingle__valued(X1,X2,X3)
| sk1_esk52_3(X3,X2,X1) != sk1_esk51_3(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3010]) ).
cnf(c_0_3010_1,axiom,
( sk1_esk52_3(X3,X2,X1) != sk1_esk51_3(X3,X2,X1)
| c_Relation_Osingle__valued(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3010]) ).
cnf(c_0_3011_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3011]) ).
cnf(c_0_3011_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3011]) ).
cnf(c_0_3011_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3011]) ).
cnf(c_0_3012_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4
| X4 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,X4) != X3
| c_List_Obutlast(X1,X4) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3012]) ).
cnf(c_0_3012_1,axiom,
( X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4
| c_List_Olast(X1,X4) != X3
| c_List_Obutlast(X1,X4) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3012]) ).
cnf(c_0_3012_2,axiom,
( c_List_Olast(X1,X4) != X3
| X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4
| c_List_Obutlast(X1,X4) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3012]) ).
cnf(c_0_3012_3,axiom,
( c_List_Obutlast(X1,X4) != X2
| c_List_Olast(X1,X4) != X3
| X4 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1))) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_3012]) ).
cnf(c_0_3014_0,axiom,
( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3)))
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3014]) ).
cnf(c_0_3014_1,axiom,
( X2 != c_List_Olist_ONil(X1)
| hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),X2),c_List_Olists(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3014]) ).
cnf(c_0_3015_0,axiom,
( c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3015]) ).
cnf(c_0_3015_1,axiom,
( ~ hBOOL(hAPP(X2,X4))
| c_List_OdropWhile(X1,X2,X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3015]) ).
cnf(c_0_3016_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3016]) ).
cnf(c_0_3016_1,axiom,
( ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3016]) ).
cnf(c_0_3016_2,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X2,X1),X3,X4)
| ~ class_Orderings_Oord(X1)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3016]) ).
cnf(c_0_3018_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3018]) ).
cnf(c_0_3018_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3018]) ).
cnf(c_0_3019_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3019]) ).
cnf(c_0_3019_1,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3019]) ).
cnf(c_0_3020_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3020]) ).
cnf(c_0_3020_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3020]) ).
cnf(c_0_3021_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3021]) ).
cnf(c_0_3021_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3021]) ).
cnf(c_0_3021_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3021]) ).
cnf(c_0_3021_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3021]) ).
cnf(c_0_3022_0,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3022]) ).
cnf(c_0_3022_1,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3022]) ).
cnf(c_0_3022_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 = X3
| c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3022]) ).
cnf(c_0_3023_0,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3023]) ).
cnf(c_0_3023_1,axiom,
( c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3023]) ).
cnf(c_0_3023_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| c_Orderings_Oord__class_Oless(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3023]) ).
cnf(c_0_3024_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
| ~ hBOOL(hAPP(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3024]) ).
cnf(c_0_3024_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3024]) ).
cnf(c_0_3024_2,axiom,
( ~ hBOOL(hAPP(X4,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X4,X1)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3024]) ).
cnf(c_0_3025_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3025]) ).
cnf(c_0_3025_1,axiom,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3025]) ).
cnf(c_0_3025_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1)
| ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3025]) ).
cnf(c_0_3026_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3026]) ).
cnf(c_0_3026_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3026]) ).
cnf(c_0_3027_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3027]) ).
cnf(c_0_3027_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3027]) ).
cnf(c_0_3028_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3028]) ).
cnf(c_0_3028_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3028]) ).
cnf(c_0_3029_0,axiom,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3029]) ).
cnf(c_0_3029_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Obutlast(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3029]) ).
cnf(c_0_3030_0,axiom,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Obutlast(X1,X3))
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3030]) ).
cnf(c_0_3030_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Obutlast(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3030]) ).
cnf(c_0_3031_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3031]) ).
cnf(c_0_3031_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3031]) ).
cnf(c_0_3032_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X5
| X4 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3032]) ).
cnf(c_0_3032_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5)
| X4 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3032]) ).
cnf(c_0_3032_2,axiom,
( X4 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3032]) ).
cnf(c_0_3033_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3033]) ).
cnf(c_0_3033_1,axiom,
( X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3033]) ).
cnf(c_0_3033_2,axiom,
( X2 != c_List_Olist_ONil(X1)
| X3 != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3033]) ).
cnf(c_0_3034_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3034]) ).
cnf(c_0_3034_1,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3034]) ).
cnf(c_0_3034_2,axiom,
( hBOOL(hAPP(hAPP(X3,X2),X1))
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3034]) ).
cnf(c_0_3034_3,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| hBOOL(hAPP(hAPP(X3,X2),X1))
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3034]) ).
cnf(c_0_3035_0,axiom,
( c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_Olist_ONil(X1)
| hBOOL(hAPP(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3035]) ).
cnf(c_0_3035_1,axiom,
( hBOOL(hAPP(X2,X3))
| c_List_OtakeWhile(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)) = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3035]) ).
cnf(c_0_3036_0,axiom,
( hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X4 != X6
| X3 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_3036]) ).
cnf(c_0_3036_1,axiom,
( X4 != X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)
| X3 != X5 ),
inference(literals_permutation,[status(thm)],[c_0_3036]) ).
cnf(c_0_3036_2,axiom,
( X3 != X5
| X4 != X6
| hAPP(hAPP(c_Product__Type_OPair(X1,X2),X3),X4) = hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_3036]) ).
cnf(c_0_3037_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3037]) ).
cnf(c_0_3037_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3037]) ).
cnf(c_0_3037_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3037]) ).
cnf(c_0_3037_3,axiom,
( X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3037]) ).
cnf(c_0_3038_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3038]) ).
cnf(c_0_3038_1,axiom,
( ~ class_Orderings_Oorder(X1)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3038]) ).
cnf(c_0_3038_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3038]) ).
cnf(c_0_3038_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3038]) ).
cnf(c_0_3039_0,axiom,
( X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3039]) ).
cnf(c_0_3039_1,axiom,
( ~ class_Orderings_Oorder(X1)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3039]) ).
cnf(c_0_3039_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3039]) ).
cnf(c_0_3039_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X3 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3039]) ).
cnf(c_0_3040_0,axiom,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3040]) ).
cnf(c_0_3040_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3040]) ).
cnf(c_0_3040_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3040]) ).
cnf(c_0_3040_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3040]) ).
cnf(c_0_3041_0,axiom,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3041]) ).
cnf(c_0_3041_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3041]) ).
cnf(c_0_3041_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3041]) ).
cnf(c_0_3041_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3041]) ).
cnf(c_0_3042_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3042_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3042_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3043_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3043_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3043_2,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3044_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3044]) ).
cnf(c_0_3044_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3044]) ).
cnf(c_0_3044_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3044]) ).
cnf(c_0_3045_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3045]) ).
cnf(c_0_3045_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3045]) ).
cnf(c_0_3045_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3045]) ).
cnf(c_0_3046_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3046]) ).
cnf(c_0_3046_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3046]) ).
cnf(c_0_3046_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3046]) ).
cnf(c_0_3047_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3047]) ).
cnf(c_0_3047_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3047]) ).
cnf(c_0_3047_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3047]) ).
cnf(c_0_3048_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3048]) ).
cnf(c_0_3048_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3048]) ).
cnf(c_0_3048_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3048]) ).
cnf(c_0_3049_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3050_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3050]) ).
cnf(c_0_3050_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3050]) ).
cnf(c_0_3050_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3050]) ).
cnf(c_0_3051_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3051_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3051_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3052_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Onth(X1,X2,sk1_esk99_2(X2,X1)) = c_List_Onth(X1,X2,sk1_esk98_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3052]) ).
cnf(c_0_3052_1,axiom,
( c_List_Onth(X1,X2,sk1_esk99_2(X2,X1)) = c_List_Onth(X1,X2,sk1_esk98_2(X2,X1))
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3052]) ).
cnf(c_0_3053_0,axiom,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3053]) ).
cnf(c_0_3053_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3053]) ).
cnf(c_0_3053_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3053]) ).
cnf(c_0_3054_0,axiom,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X4),X1) != hAPP(hAPP(c_List_Oappend(X3),X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3054]) ).
cnf(c_0_3054_1,axiom,
( hAPP(hAPP(c_List_Oappend(X3),X4),X1) != hAPP(hAPP(c_List_Oappend(X3),X4),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3054]) ).
cnf(c_0_3055_0,axiom,
( X1 = X2
| hAPP(hAPP(c_List_Oappend(X3),X1),X4) != hAPP(hAPP(c_List_Oappend(X3),X2),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3055]) ).
cnf(c_0_3055_1,axiom,
( hAPP(hAPP(c_List_Oappend(X3),X1),X4) != hAPP(hAPP(c_List_Oappend(X3),X2),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3055]) ).
cnf(c_0_3056_0,axiom,
( X2 = X4
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3056]) ).
cnf(c_0_3056_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_3056]) ).
cnf(c_0_3057_0,axiom,
( X3 = X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3057_1,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3058_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3058]) ).
cnf(c_0_3058_1,axiom,
( ~ class_Lattices_Olattice(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3058]) ).
cnf(c_0_3059_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3059]) ).
cnf(c_0_3059_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3059]) ).
cnf(c_0_3060_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3060]) ).
cnf(c_0_3060_1,axiom,
( ~ class_Lattices_Olattice(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3060]) ).
cnf(c_0_3061_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3061]) ).
cnf(c_0_3061_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3061]) ).
cnf(c_0_3062_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X3)))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3062]) ).
cnf(c_0_3062_1,axiom,
( X2 != X3
| hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_fequal,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3062]) ).
cnf(c_0_3063_0,axiom,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3063]) ).
cnf(c_0_3063_1,axiom,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3063]) ).
cnf(c_0_3064_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3064]) ).
cnf(c_0_3064_1,axiom,
( X4 != X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3064]) ).
cnf(c_0_3064_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| X4 != X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3064]) ).
cnf(c_0_3064_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| X4 != X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3064]) ).
cnf(c_0_3065_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3065]) ).
cnf(c_0_3065_1,axiom,
( X4 != X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3065]) ).
cnf(c_0_3065_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| X4 != X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3065]) ).
cnf(c_0_3065_3,axiom,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| X4 != X3
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3065]) ).
cnf(c_0_3066_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3066]) ).
cnf(c_0_3066_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3066]) ).
cnf(c_0_3066_2,axiom,
( X3 != X4
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3066]) ).
cnf(c_0_3066_3,axiom,
( ~ class_Orderings_Oorder(X1)
| X3 != X4
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3066]) ).
cnf(c_0_3067_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3067]) ).
cnf(c_0_3067_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3067]) ).
cnf(c_0_3067_2,axiom,
( X2 != X4
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3067]) ).
cnf(c_0_3067_3,axiom,
( ~ class_Orderings_Oord(X1)
| X2 != X4
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3067]) ).
cnf(c_0_3068_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3068]) ).
cnf(c_0_3068_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3068]) ).
cnf(c_0_3068_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3068]) ).
cnf(c_0_3068_3,axiom,
( X3 != X2
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3068]) ).
cnf(c_0_3069_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3069]) ).
cnf(c_0_3069_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3069]) ).
cnf(c_0_3069_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3069]) ).
cnf(c_0_3069_3,axiom,
( X3 != X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3069]) ).
cnf(c_0_3070_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3070]) ).
cnf(c_0_3070_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X4
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3070]) ).
cnf(c_0_3070_2,axiom,
( X2 != X4
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3070]) ).
cnf(c_0_3070_3,axiom,
( ~ class_Orderings_Oord(X1)
| X2 != X4
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3070]) ).
cnf(c_0_3071_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3071_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 != X4
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3071_2,axiom,
( X3 != X4
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3071_3,axiom,
( ~ class_Orderings_Oorder(X1)
| X3 != X4
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3072_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3072_1,axiom,
( X4 != X3
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3072_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| X4 != X3
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3072_3,axiom,
( ~ class_Orderings_Oord(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| X4 != X3
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3073_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X4 != X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3073_1,axiom,
( X4 != X2
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3073_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| X4 != X2
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3073_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| X4 != X2
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3074_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3074]) ).
cnf(c_0_3074_1,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3074]) ).
cnf(c_0_3074_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3074]) ).
cnf(c_0_3074_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3074]) ).
cnf(c_0_3075_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3075]) ).
cnf(c_0_3075_1,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3075]) ).
cnf(c_0_3075_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3075]) ).
cnf(c_0_3075_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3075]) ).
cnf(c_0_3076_0,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3076]) ).
cnf(c_0_3076_1,axiom,
( c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3076]) ).
cnf(c_0_3076_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3076]) ).
cnf(c_0_3076_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X2)
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3076]) ).
cnf(c_0_3077_0,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3077]) ).
cnf(c_0_3077_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3077]) ).
cnf(c_0_3077_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3077]) ).
cnf(c_0_3077_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3077]) ).
cnf(c_0_3078_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3078]) ).
cnf(c_0_3078_1,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3078]) ).
cnf(c_0_3078_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3078]) ).
cnf(c_0_3078_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3078]) ).
cnf(c_0_3079_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3079_1,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3079_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3079_3,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3080_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3080]) ).
cnf(c_0_3080_1,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3080]) ).
cnf(c_0_3080_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3080]) ).
cnf(c_0_3080_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3080]) ).
cnf(c_0_3081_0,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3081]) ).
cnf(c_0_3081_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3081]) ).
cnf(c_0_3081_2,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3081]) ).
cnf(c_0_3081_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3081]) ).
cnf(c_0_3082_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3082_1,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3082_2,axiom,
( ~ class_Orderings_Oorder(X1)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3082_3,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3083_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3083]) ).
cnf(c_0_3083_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3083]) ).
cnf(c_0_3083_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3083]) ).
cnf(c_0_3084_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3084]) ).
cnf(c_0_3084_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3084]) ).
cnf(c_0_3084_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3084]) ).
cnf(c_0_3085_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3085]) ).
cnf(c_0_3085_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3085]) ).
cnf(c_0_3085_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3085]) ).
cnf(c_0_3086_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3086]) ).
cnf(c_0_3086_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3086]) ).
cnf(c_0_3086_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3086]) ).
cnf(c_0_3087_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3087]) ).
cnf(c_0_3087_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3087]) ).
cnf(c_0_3087_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3087]) ).
cnf(c_0_3088_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3088]) ).
cnf(c_0_3088_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3088]) ).
cnf(c_0_3088_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3088]) ).
cnf(c_0_3089_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X3
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3089]) ).
cnf(c_0_3089_1,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3089]) ).
cnf(c_0_3089_2,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3089]) ).
cnf(c_0_3090_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3090]) ).
cnf(c_0_3090_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3090]) ).
cnf(c_0_3090_2,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) != X2
| ~ class_Lattices_Osemilattice__inf(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3090]) ).
cnf(c_0_3092_0,axiom,
( c_List_Odistinct(X1,c_List_OdropWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3092]) ).
cnf(c_0_3092_1,axiom,
( ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X1,c_List_OdropWhile(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3092]) ).
cnf(c_0_3093_0,axiom,
( c_List_Odistinct(X1,c_List_OtakeWhile(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3093]) ).
cnf(c_0_3093_1,axiom,
( ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X1,c_List_OtakeWhile(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3093]) ).
cnf(c_0_3094_0,axiom,
( c_List_Odistinct(X1,c_List_Oinsert(X1,X2,X3))
| ~ c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3094]) ).
cnf(c_0_3094_1,axiom,
( ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X1,c_List_Oinsert(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3094]) ).
cnf(c_0_3095_0,axiom,
( c_Arrow__Order__Mirabelle_Odictator(X1,X2)
| hAPP(X1,sk1_esk22_2(X2,X1)) != hAPP(sk1_esk22_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3095]) ).
cnf(c_0_3095_1,axiom,
( hAPP(X1,sk1_esk22_2(X2,X1)) != hAPP(sk1_esk22_2(X2,X1),X2)
| c_Arrow__Order__Mirabelle_Odictator(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3095]) ).
cnf(c_0_3096_0,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3096]) ).
cnf(c_0_3096_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3096]) ).
cnf(c_0_3096_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3096]) ).
cnf(c_0_3097_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3097]) ).
cnf(c_0_3097_1,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3097]) ).
cnf(c_0_3097_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3097]) ).
cnf(c_0_3098_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3098]) ).
cnf(c_0_3098_1,axiom,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3098]) ).
cnf(c_0_3098_2,axiom,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 = X2
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3098]) ).
cnf(c_0_3099_0,axiom,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Obutlast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3099]) ).
cnf(c_0_3099_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Obutlast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3099]) ).
cnf(c_0_3100_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3100]) ).
cnf(c_0_3100_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3100]) ).
cnf(c_0_3101_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2)
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3101]) ).
cnf(c_0_3101_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3101]) ).
cnf(c_0_3102_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3102]) ).
cnf(c_0_3102_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3102]) ).
cnf(c_0_3103_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3103]) ).
cnf(c_0_3103_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3103]) ).
cnf(c_0_3104_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3104]) ).
cnf(c_0_3104_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3104]) ).
cnf(c_0_3105_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3105]) ).
cnf(c_0_3105_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3105]) ).
cnf(c_0_3106_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3106]) ).
cnf(c_0_3106_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3106]) ).
cnf(c_0_3107_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3107]) ).
cnf(c_0_3107_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3107]) ).
cnf(c_0_3108_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3108]) ).
cnf(c_0_3108_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),X3)) = c_List_Olast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3108]) ).
cnf(c_0_3109_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3109]) ).
cnf(c_0_3109_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3109]) ).
cnf(c_0_3110_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3110]) ).
cnf(c_0_3110_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3110]) ).
cnf(c_0_3111_0,axiom,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk98_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3111]) ).
cnf(c_0_3111_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk98_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3111]) ).
cnf(c_0_3112_0,axiom,
( c_List_Odistinct(X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk99_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3112]) ).
cnf(c_0_3112_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk99_2(X2,X1),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2))
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3112]) ).
cnf(c_0_3113_0,axiom,
( c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3113]) ).
cnf(c_0_3113_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Obutlast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3113]) ).
cnf(c_0_3114_0,axiom,
( X1 = X2
| hAPP(X1,sk1_esk1_2(X2,X1)) != hAPP(X2,sk1_esk1_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3114]) ).
cnf(c_0_3114_1,axiom,
( hAPP(X1,sk1_esk1_2(X2,X1)) != hAPP(X2,sk1_esk1_2(X2,X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3114]) ).
cnf(c_0_3115_0,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3115]) ).
cnf(c_0_3115_1,axiom,
( X2 != X3
| ~ c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3115]) ).
cnf(c_0_3116_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3116]) ).
cnf(c_0_3116_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3116]) ).
cnf(c_0_3117_0,axiom,
( c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3117]) ).
cnf(c_0_3117_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| c_List_Olast(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3117]) ).
cnf(c_0_3118_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3118]) ).
cnf(c_0_3118_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fconj,X2),X1))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3118]) ).
cnf(c_0_3119_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3119]) ).
cnf(c_0_3119_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3119]) ).
cnf(c_0_3120_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3120]) ).
cnf(c_0_3120_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3120]) ).
cnf(c_0_3122_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_3,axiom,
( X2 != X3
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3123_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3123]) ).
cnf(c_0_3123_1,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3123]) ).
cnf(c_0_3123_2,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3123]) ).
cnf(c_0_3123_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3123]) ).
cnf(c_0_3124_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3124]) ).
cnf(c_0_3124_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3124]) ).
cnf(c_0_3124_2,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3124]) ).
cnf(c_0_3124_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3124]) ).
cnf(c_0_3125_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3125_1,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3125_2,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3125_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3126_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3126_1,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3126_2,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3126_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3127_0,axiom,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3127]) ).
cnf(c_0_3127_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3127]) ).
cnf(c_0_3127_2,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X2 = X3
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3127]) ).
cnf(c_0_3127_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3127]) ).
cnf(c_0_3128_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3128]) ).
cnf(c_0_3128_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3128]) ).
cnf(c_0_3128_2,axiom,
( X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3128]) ).
cnf(c_0_3128_3,axiom,
( ~ class_Orderings_Olinorder(X1)
| X3 = X2
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3128]) ).
cnf(c_0_3130_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3130]) ).
cnf(c_0_3130_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3130]) ).
cnf(c_0_3130_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3130]) ).
cnf(c_0_3131_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3131]) ).
cnf(c_0_3131_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3131]) ).
cnf(c_0_3131_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3131]) ).
cnf(c_0_3132_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3132]) ).
cnf(c_0_3132_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3132]) ).
cnf(c_0_3132_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3132]) ).
cnf(c_0_3133_0,axiom,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3133]) ).
cnf(c_0_3133_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3133]) ).
cnf(c_0_3133_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3133]) ).
cnf(c_0_3134_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3134]) ).
cnf(c_0_3134_1,axiom,
( c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3134]) ).
cnf(c_0_3134_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3134]) ).
cnf(c_0_3135_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3135]) ).
cnf(c_0_3135_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3135]) ).
cnf(c_0_3135_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3135]) ).
cnf(c_0_3136_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3136_1,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3136_2,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3137_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3137_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3138_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3138]) ).
cnf(c_0_3138_1,axiom,
( ~ class_Lattices_Olattice(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3138]) ).
cnf(c_0_3139_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3139_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3140_0,axiom,
( hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X3 != X5
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3140_1,axiom,
( X3 != X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3140_2,axiom,
( X2 != X4
| X3 != X5
| hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) = hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3141_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3141_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3141_2,axiom,
( X2 = X1
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3142_0,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3142_1,axiom,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3142_2,axiom,
( X2 = X1
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3144_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X2),X4)
| X3 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3144_1,axiom,
( X3 != X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X2),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3145_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X3)
| X2 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3145]) ).
cnf(c_0_3145_1,axiom,
( X2 != X4
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = hAPP(hAPP(c_List_Oappend(X1),X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3145]) ).
cnf(c_0_3146_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3146]) ).
cnf(c_0_3146_1,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3146]) ).
cnf(c_0_3147_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3147]) ).
cnf(c_0_3147_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| X1 != X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3147]) ).
cnf(c_0_3147_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3147]) ).
cnf(c_0_3148_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3148]) ).
cnf(c_0_3148_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 != X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3148]) ).
cnf(c_0_3148_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3148]) ).
cnf(c_0_3149_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3149]) ).
cnf(c_0_3149_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 != X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3149]) ).
cnf(c_0_3149_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3149]) ).
cnf(c_0_3150_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3150]) ).
cnf(c_0_3150_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3150]) ).
cnf(c_0_3150_2,axiom,
( X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3150]) ).
cnf(c_0_3151_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3151]) ).
cnf(c_0_3151_1,axiom,
( X2 != X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3151]) ).
cnf(c_0_3151_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3151]) ).
cnf(c_0_3152_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3152]) ).
cnf(c_0_3152_1,axiom,
( X2 != X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3152]) ).
cnf(c_0_3152_2,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| X2 != X3
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3152]) ).
cnf(c_0_3153_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3153]) ).
cnf(c_0_3153_1,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3153]) ).
cnf(c_0_3153_2,axiom,
( X2 != X3
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3153]) ).
cnf(c_0_3156_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3156]) ).
cnf(c_0_3156_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1)
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3156]) ).
cnf(c_0_3157_0,axiom,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3157]) ).
cnf(c_0_3157_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3157]) ).
cnf(c_0_3158_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3158]) ).
cnf(c_0_3158_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1)
| X2 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3158]) ).
cnf(c_0_3159_0,axiom,
( X3 = c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3159]) ).
cnf(c_0_3159_1,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) != c_List_Olist_ONil(X1)
| X3 = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3159]) ).
cnf(c_0_3160_0,axiom,
( ~ c_Orderings_Oord__class_Oless(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3160]) ).
cnf(c_0_3160_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3160]) ).
cnf(c_0_3161_0,axiom,
( hBOOL(hAPP(c_List_Olistsp(X1,X2),X3))
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3161]) ).
cnf(c_0_3161_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| hBOOL(hAPP(c_List_Olistsp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3161]) ).
cnf(c_0_3162_0,axiom,
( hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3162]) ).
cnf(c_0_3162_1,axiom,
( ~ hBOOL(X2)
| hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3162]) ).
cnf(c_0_3162_2,axiom,
( ~ hBOOL(X1)
| ~ hBOOL(X2)
| hBOOL(hAPP(hAPP(c_fconj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3162]) ).
cnf(c_0_3163_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3163]) ).
cnf(c_0_3163_1,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3163]) ).
cnf(c_0_3164_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3164]) ).
cnf(c_0_3164_1,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3164]) ).
cnf(c_0_3165_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3165]) ).
cnf(c_0_3165_1,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X1),X3) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3165]) ).
cnf(c_0_3166_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3166]) ).
cnf(c_0_3166_1,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X3),X1) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3166]) ).
cnf(c_0_3169_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3169]) ).
cnf(c_0_3169_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3169]) ).
cnf(c_0_3170_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3170]) ).
cnf(c_0_3170_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3170]) ).
cnf(c_0_3171_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3171]) ).
cnf(c_0_3171_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3171]) ).
cnf(c_0_3172_0,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3172]) ).
cnf(c_0_3172_1,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3172]) ).
cnf(c_0_3173_0,axiom,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3173]) ).
cnf(c_0_3173_1,axiom,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3173]) ).
cnf(c_0_3181_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3181]) ).
cnf(c_0_3181_1,axiom,
( X2 != X3
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3181]) ).
cnf(c_0_3182_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3182]) ).
cnf(c_0_3182_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3182]) ).
cnf(c_0_3183_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3183]) ).
cnf(c_0_3183_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3183]) ).
cnf(c_0_3184_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3184]) ).
cnf(c_0_3184_1,axiom,
( X2 != X3
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3184]) ).
cnf(c_0_3185_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)
| X3 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3185]) ).
cnf(c_0_3185_1,axiom,
( X3 != X2
| c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3185]) ).
cnf(c_0_3186_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3186_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3187_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3187_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3189_0,axiom,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3189_1,axiom,
( X1 != X2
| hBOOL(hAPP(hAPP(c_fequal,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3190_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(X1,c_List_Orotate1(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3190_1,axiom,
( ~ c_List_Odistinct(X1,c_List_Orotate1(X1,X2))
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3192_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3192_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3192_2,axiom,
( X2 != c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3193_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3193_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3193_2,axiom,
( X2 != c_List_Olist_ONil(X1)
| X3 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3194_0,axiom,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olexord(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3194_1,axiom,
( ~ c_Relation_Otrans(X1,X2)
| c_Relation_Otrans(tc_List_Olist(X1),c_List_Olexord(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3195_0,axiom,
( c_Relation_Otrans(tc_List_Olist(X1),c_List_Olistrel(X1,X2))
| ~ c_Relation_Otrans(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3195_1,axiom,
( ~ c_Relation_Otrans(X1,X2)
| c_Relation_Otrans(tc_List_Olist(X1),c_List_Olistrel(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3196_0,axiom,
( X1 = hAPP(hAPP(c_List_Oappend(X2),c_List_Olist_ONil(X2)),X3)
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3196_1,axiom,
( X1 != X3
| X1 = hAPP(hAPP(c_List_Oappend(X2),c_List_Olist_ONil(X2)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3197_0,axiom,
( c_List_Odistinct(X1,c_List_Obutlast(X1,X2))
| X2 = c_List_Olist_ONil(X1)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3197]) ).
cnf(c_0_3197_1,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Odistinct(X1,c_List_Obutlast(X1,X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3197]) ).
cnf(c_0_3197_2,axiom,
( ~ c_List_Odistinct(X1,X2)
| X2 = c_List_Olist_ONil(X1)
| c_List_Odistinct(X1,c_List_Obutlast(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3197]) ).
cnf(c_0_3199_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3199_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3199_2,axiom,
( X2 != X3
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3200_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3200]) ).
cnf(c_0_3200_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3200]) ).
cnf(c_0_3200_2,axiom,
( X2 != X3
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3200]) ).
cnf(c_0_3201_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Oorder(X1)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3201]) ).
cnf(c_0_3201_1,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_3201]) ).
cnf(c_0_3201_2,axiom,
( X2 != X3
| ~ class_Orderings_Oorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3201]) ).
cnf(c_0_3202_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| X2 != X3
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3202]) ).
cnf(c_0_3202_1,axiom,
( X2 != X3
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3202]) ).
cnf(c_0_3202_2,axiom,
( ~ class_Orderings_Opreorder(X1)
| X2 != X3
| c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3202]) ).
cnf(c_0_3206_0,axiom,
( c_List_Odistinct(X1,c_List_Orotate1(X1,X2))
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3206]) ).
cnf(c_0_3206_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(X1,c_List_Orotate1(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3206]) ).
cnf(c_0_3207_0,axiom,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3207]) ).
cnf(c_0_3207_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| c_Orderings_Oord__class_Oless__eq(X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3207]) ).
cnf(c_0_3208_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X3
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3208]) ).
cnf(c_0_3208_1,axiom,
( X2 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3208]) ).
cnf(c_0_3209_0,axiom,
( hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X2
| X3 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3209]) ).
cnf(c_0_3209_1,axiom,
( X3 != c_List_Olist_ONil(X1)
| hAPP(hAPP(c_List_Oappend(X1),X2),X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3209]) ).
cnf(c_0_3210_0,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X3),X1) = X1
| X3 != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3210]) ).
cnf(c_0_3210_1,axiom,
( X3 != c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X3),X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3210]) ).
cnf(c_0_3211_0,axiom,
( hAPP(hAPP(c_List_Oappend(X2),X1),X3) = X1
| X3 != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3211]) ).
cnf(c_0_3211_1,axiom,
( X3 != c_List_Olist_ONil(X2)
| hAPP(hAPP(c_List_Oappend(X2),X1),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3211]) ).
cnf(c_0_3214_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3214]) ).
cnf(c_0_3214_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3214]) ).
cnf(c_0_3215_0,axiom,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Osemilattice__inf(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3215]) ).
cnf(c_0_3215_1,axiom,
( ~ class_Lattices_Osemilattice__inf(X1)
| hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(X1),X2),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3215]) ).
cnf(c_0_3217_0,axiom,
( c_List_Odistinct(X1,X2)
| sk1_esk99_2(X2,X1) != sk1_esk98_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3217]) ).
cnf(c_0_3217_1,axiom,
( sk1_esk99_2(X2,X1) != sk1_esk98_2(X2,X1)
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3217]) ).
cnf(c_0_3218_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3218]) ).
cnf(c_0_3218_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3218]) ).
cnf(c_0_3219_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3219]) ).
cnf(c_0_3219_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3219]) ).
cnf(c_0_3220_0,axiom,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3220]) ).
cnf(c_0_3220_1,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3220]) ).
cnf(c_0_3223_0,axiom,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP(c_fNot,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3223]) ).
cnf(c_0_3223_1,axiom,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3223]) ).
cnf(c_0_3224_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3224]) ).
cnf(c_0_3224_1,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3224]) ).
cnf(c_0_3225_0,axiom,
( c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3225]) ).
cnf(c_0_3225_1,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(tc_List_Olist(X3),X1) = c_Nat_Osize__class_Osize(tc_List_Olist(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3225]) ).
cnf(c_0_3228_0,axiom,
( class_Orderings_Oord(tc_fun(X1,X2))
| ~ class_Orderings_Oord(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3228]) ).
cnf(c_0_3228_1,axiom,
( ~ class_Orderings_Oord(X2)
| class_Orderings_Oord(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3228]) ).
cnf(c_0_3229_0,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3229]) ).
cnf(c_0_3229_1,axiom,
( ~ class_Orderings_Oorder(X2)
| class_Orderings_Oorder(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3229]) ).
cnf(c_0_3230_0,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3230]) ).
cnf(c_0_3230_1,axiom,
( ~ class_Lattices_Olattice(X2)
| class_Lattices_Olattice(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3230]) ).
cnf(c_0_3231_0,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3231]) ).
cnf(c_0_3231_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| class_Orderings_Opreorder(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3231]) ).
cnf(c_0_3232_0,axiom,
( class_Lattices_Osemilattice__inf(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3232]) ).
cnf(c_0_3232_1,axiom,
( ~ class_Lattices_Olattice(X2)
| class_Lattices_Osemilattice__inf(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3232]) ).
cnf(c_0_3233_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X2,X1) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3233]) ).
cnf(c_0_3233_1,axiom,
( c_List_Orotate1(X2,X1) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3233]) ).
cnf(c_0_3234_0,axiom,
( hBOOL(hAPP(c_fNot,X1))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3234]) ).
cnf(c_0_3234_1,axiom,
( hBOOL(X1)
| hBOOL(hAPP(c_fNot,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3234]) ).
cnf(c_0_3235_0,axiom,
( c_List_Orotate1(X1,X2) = c_List_Olist_ONil(X1)
| X2 != c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3235]) ).
cnf(c_0_3235_1,axiom,
( X2 != c_List_Olist_ONil(X1)
| c_List_Orotate1(X1,X2) = c_List_Olist_ONil(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3235]) ).
cnf(c_0_2671_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olistrel1(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2672_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),X2)),c_List_Olex(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2672]) ).
cnf(c_0_2675_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olistrel1(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2675]) ).
cnf(c_0_2676_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olex(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2676]) ).
cnf(c_0_2677_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),c_List_Olist_ONil(X1))),c_List_Olexord(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2677]) ).
cnf(c_0_2730_0,axiom,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X3)),c_List_Omeasures(X1,c_List_Olist_ONil(tc_fun(X1,tc_Nat_Onat))))),
inference(literals_permutation,[status(thm)],[c_0_2730]) ).
cnf(c_0_3167_0,axiom,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3167]) ).
cnf(c_0_3168_0,axiom,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3168]) ).
cnf(c_0_3175_0,axiom,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_3175]) ).
cnf(c_0_3176_0,axiom,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_3176]) ).
cnf(c_0_3177_0,axiom,
hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1) != X1,
inference(literals_permutation,[status(thm)],[c_0_3177]) ).
cnf(c_0_3178_0,axiom,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3) != X3,
inference(literals_permutation,[status(thm)],[c_0_3178]) ).
cnf(c_0_3253_0,axiom,
v_b____ != v_a____,
inference(literals_permutation,[status(thm)],[c_0_3253]) ).
cnf(c_0_2412_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____))),v_a____)),v_c____)),c_Arrow__Order__Mirabelle_OProf)),
inference(literals_permutation,[status(thm)],[c_0_2412]) ).
cnf(c_0_2419_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____))),v_b____)),v_a____)),c_Arrow__Order__Mirabelle_OProf)),
inference(literals_permutation,[status(thm)],[c_0_2419]) ).
cnf(c_0_2429_0,axiom,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(X1),tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_COMBS(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_fun(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBS(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_List_Olist(X1),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),hAPP(c_COMBB(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_If(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),hAPP(X2,X3)))),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_List_Olist(X1)),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(c_List_Olist_OCons(X1),X3))))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),tc_fun(tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),tc_fun(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))),tc_List_Olist(X1)),c_COMBB(tc_List_Olist(X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))),c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)))),hAPP(c_List_Olist_OCons(X1),X3)))),c_List_Opartition(X1,X2,X4)) = c_List_Opartition(X1,X2,hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),
inference(literals_permutation,[status(thm)],[c_0_2429]) ).
cnf(c_0_2434_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_Obelow),v_P____)),v_c____)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
inference(literals_permutation,[status(thm)],[c_0_2434]) ).
cnf(c_0_2476_0,axiom,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X1,tc_HOL_Obool),hAPP(hAPP(c_COMBS(X1,tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(X1,tc_HOL_Obool)),X1),c_COMBC(X1,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_HOL_Obool),tc_fun(X1,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),X1),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),X1),c_fconj)),c_fequal))),X2)) = c_Relation_OId__on(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2518_0,axiom,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,X3),hAPP(hAPP(c_COMBB(tc_fun(X6,tc_prod(X1,X2)),tc_fun(X6,X3),X5),hAPP(c_COMBB(tc_prod(X1,X2),X3,X6),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4))),X7)),X8) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X5,X6,tc_prod(X1,X2)),X7),X8)),
inference(literals_permutation,[status(thm)],[c_0_2518]) ).
cnf(c_0_2519_0,axiom,
c_Product__Type_OSigma(X1,X2,X3,hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_HOL_Obool),tc_fun(tc_fun(X2,tc_HOL_Obool),tc_fun(X2,tc_HOL_Obool)),X1),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool))),X4)),X5)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X4)),c_Product__Type_OSigma(X1,X2,X3,X5)),
inference(literals_permutation,[status(thm)],[c_0_2519]) ).
cnf(c_0_2530_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2534_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X2))),hAPP(hAPP(c_COMBC(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(X1))),c_List_Olists(X1,X3))) = c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X3))),
inference(literals_permutation,[status(thm)],[c_0_2534]) ).
cnf(c_0_2582_0,axiom,
c_List_Olist_Olist__case(tc_List_Olist(X1),X1,c_List_Olist_ONil(X1),hAPP(hAPP(c_COMBB(tc_List_Olist(X1),tc_fun(tc_List_Olist(X1),tc_List_Olist(X1)),X1),hAPP(c_COMBC(tc_List_Olist(X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Oappend(X1))),hAPP(hAPP(c_COMBC(X1,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_OCons(X1)),c_List_Olist_ONil(X1))),X2) = c_List_Orotate1(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2582]) ).
cnf(c_0_2594_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oimage(X2,X1,X3,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool)),X4),X5)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Set_Oimage(X2,X1,X3,X4)),c_Set_Oimage(X2,X1,X3,X5))),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2637_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))),c_Product__Type_OSigma(X1,X2,X4,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5))) = c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X5)),
inference(literals_permutation,[status(thm)],[c_0_2637]) ).
cnf(c_0_2665_0,axiom,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,X3),X1),hAPP(c_COMBB(tc_prod(X1,X2),X3,X2),X4)),c_Product__Type_OPair(X1,X2))) = X4,
inference(literals_permutation,[status(thm)],[c_0_2665]) ).
cnf(c_0_2688_0,axiom,
c_Set_Oimage(tc_prod(X1,X2),tc_prod(X2,X1),hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,tc_prod(X2,X1)),hAPP(c_COMBC(X2,X1,tc_prod(X2,X1)),c_Product__Type_OPair(X2,X1))),c_Product__Type_OSigma(X1,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X1,X4))) = c_Product__Type_OSigma(X2,X1,X4,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_2688]) ).
cnf(c_0_2696_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ORange(X2,X1,X3)),c_Relation_ORange(X2,X1,X4))),
inference(literals_permutation,[status(thm)],[c_0_2696]) ).
cnf(c_0_2697_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),X3),X4)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),c_Relation_ODomain(X1,X2,X3)),c_Relation_ODomain(X1,X2,X4))),
inference(literals_permutation,[status(thm)],[c_0_2697]) ).
cnf(c_0_2708_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)),c_Product__Type_OSigma(X1,X2,X3,X5)),c_Product__Type_OSigma(X1,X2,X4,X5)) = c_Product__Type_OSigma(X1,X2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4),X5),
inference(literals_permutation,[status(thm)],[c_0_2708]) ).
cnf(c_0_2738_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X1)),c_COMBI(X1)),c_FuncSet_OPi(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2)))),
inference(literals_permutation,[status(thm)],[c_0_2738]) ).
cnf(c_0_2740_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1))),c_List_Olistrel(X1,X2))),
inference(literals_permutation,[status(thm)],[c_0_2740]) ).
cnf(c_0_2743_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),X2),X2)),c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X3)))),
inference(literals_permutation,[status(thm)],[c_0_2743]) ).
cnf(c_0_2759_0,axiom,
c_Set_Oimage(X1,X2,X3,c_Set_Oimage(X4,X1,X5,X6)) = c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2765_0,axiom,
c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2765]) ).
cnf(c_0_2770_0,axiom,
c_List_Olist_Olist__case(X1,X2,X3,X4,hAPP(hAPP(c_List_Olist_OCons(X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2770]) ).
cnf(c_0_2777_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P_H____),c_Arrow__Order__Mirabelle_OProf)),
inference(literals_permutation,[status(thm)],[c_0_2777]) ).
cnf(c_0_2778_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_P____),c_Arrow__Order__Mirabelle_OProf)),
inference(literals_permutation,[status(thm)],[c_0_2778]) ).
cnf(c_0_2784_0,axiom,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
inference(literals_permutation,[status(thm)],[c_0_2784]) ).
cnf(c_0_2785_0,axiom,
hAPP(hAPP(c_Product__Type_Ocurry(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)),
inference(literals_permutation,[status(thm)],[c_0_2785]) ).
cnf(c_0_2786_0,axiom,
c_List_Olist_Olist__case(X1,X2,X3,X4,c_List_Olist_ONil(X2)) = X3,
inference(literals_permutation,[status(thm)],[c_0_2786]) ).
cnf(c_0_2797_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)),
inference(literals_permutation,[status(thm)],[c_0_2797]) ).
cnf(c_0_2802_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_prod(X1,X1)),hAPP(hAPP(c_Product__Type_OPair(X1,X1),X2),X2)),c_Transitive__Closure_Ortrancl(X1,X3))),
inference(literals_permutation,[status(thm)],[c_0_2802]) ).
cnf(c_0_2829_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X1,X2))),
inference(literals_permutation,[status(thm)],[c_0_2829]) ).
cnf(c_0_2831_0,axiom,
c_List_Omaps(X1,X2,X3,hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Oappend(X2),hAPP(X3,X4)),c_List_Omaps(X1,X2,X3,X5)),
inference(literals_permutation,[status(thm)],[c_0_2831]) ).
cnf(c_0_2835_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X4)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X4)),
inference(literals_permutation,[status(thm)],[c_0_2835]) ).
cnf(c_0_2848_0,axiom,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X4),X5)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X4),c_List_Osplice(X1,X3,X5))),
inference(literals_permutation,[status(thm)],[c_0_2848]) ).
cnf(c_0_2849_0,axiom,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),sk1_esk6_0),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(literals_permutation,[status(thm)],[c_0_2849]) ).
cnf(c_0_2850_0,axiom,
c_List_Odistinct(tc_Arrow__Order__Mirabelle_Oalt,hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_a____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_b____),hAPP(hAPP(c_List_Olist_OCons(tc_Arrow__Order__Mirabelle_Oalt),v_c____),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt))))),
inference(literals_permutation,[status(thm)],[c_0_2850]) ).
cnf(c_0_2851_0,axiom,
hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),c_Product__Type_Ocurry(X1,X2,X3,X4)) = X4,
inference(literals_permutation,[status(thm)],[c_0_2851]) ).
cnf(c_0_2855_0,axiom,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(literals_permutation,[status(thm)],[c_0_2855]) ).
cnf(c_0_2859_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_2859]) ).
cnf(c_0_2860_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(X1),tc_HOL_Obool)),c_List_Olistsp(X1,X2)),c_List_Olistsp(X1,X3)) = c_List_Olistsp(X1,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_2860]) ).
cnf(c_0_2861_0,axiom,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(literals_permutation,[status(thm)],[c_0_2861]) ).
cnf(c_0_2862_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(literals_permutation,[status(thm)],[c_0_2862]) ).
cnf(c_0_2875_0,axiom,
c_Product__Type_Ocurry(X1,X2,X3,hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4)) = X4,
inference(literals_permutation,[status(thm)],[c_0_2875]) ).
cnf(c_0_2880_0,axiom,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2880]) ).
cnf(c_0_2881_0,axiom,
hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2881]) ).
cnf(c_0_2882_0,axiom,
hAPP(hAPP(c_Product__Type_Ointernal__split(X1,X2,X3),X4),hAPP(hAPP(c_Product__Type_OPair(X1,X2),X5),X6)) = hAPP(hAPP(X4,X5),X6),
inference(literals_permutation,[status(thm)],[c_0_2882]) ).
cnf(c_0_2897_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
inference(literals_permutation,[status(thm)],[c_0_2897]) ).
cnf(c_0_2898_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),hAPP(hAPP(c_List_Oappend(X1),X2),X3)),X4) = hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Oappend(X1),X3),X4)),
inference(literals_permutation,[status(thm)],[c_0_2898]) ).
cnf(c_0_2901_0,axiom,
c_List_Onth(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),X4)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2)) = X3,
inference(literals_permutation,[status(thm)],[c_0_2901]) ).
cnf(c_0_2914_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),c_List_OtakeWhile(X1,X2,X3)),c_List_OdropWhile(X1,X2,X3)) = X3,
inference(literals_permutation,[status(thm)],[c_0_2914]) ).
cnf(c_0_2916_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2916]) ).
cnf(c_0_2917_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3),X2),
inference(literals_permutation,[status(thm)],[c_0_2917]) ).
cnf(c_0_2918_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel1(X1,c_Transitive__Closure_Ortrancl(X1,X2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
inference(literals_permutation,[status(thm)],[c_0_2918]) ).
cnf(c_0_2919_0,axiom,
c_List_Obutlast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X2,
inference(literals_permutation,[status(thm)],[c_0_2919]) ).
cnf(c_0_2920_0,axiom,
c_List_Olast(X1,hAPP(hAPP(c_List_Oappend(X1),X2),hAPP(hAPP(c_List_Olist_OCons(X1),X3),c_List_Olist_ONil(X1)))) = X3,
inference(literals_permutation,[status(thm)],[c_0_2920]) ).
cnf(c_0_2924_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OdropWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_2924]) ).
cnf(c_0_2925_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_OtakeWhile(X1,X2,X3)),c_Nat_Osize__class_Osize(tc_List_Olist(X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_2925]) ).
cnf(c_0_2949_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)),tc_HOL_Obool),c_List_Olistrel(X1,X2),c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2))),
inference(literals_permutation,[status(thm)],[c_0_2949]) ).
cnf(c_0_2955_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
inference(literals_permutation,[status(thm)],[c_0_2955]) ).
cnf(c_0_2956_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),X3),hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1))) = c_List_Orotate1(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_2956]) ).
cnf(c_0_2983_0,axiom,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
inference(literals_permutation,[status(thm)],[c_0_2983]) ).
cnf(c_0_2984_0,axiom,
c_List_Olistrelp(X1,X2,c_List_Olist_ONil(X1),c_List_Olist_ONil(X1)),
inference(literals_permutation,[status(thm)],[c_0_2984]) ).
cnf(c_0_2986_0,axiom,
c_List_Omaps(X1,X2,X3,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2986]) ).
cnf(c_0_2988_0,axiom,
c_Set_Oimage(X1,X1,c_COMBI(X1),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_2988]) ).
cnf(c_0_3008_0,axiom,
hBOOL(hAPP(hAPP(c_member(tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olists(X1,X2))),
inference(literals_permutation,[status(thm)],[c_0_3008]) ).
cnf(c_0_3013_0,axiom,
c_List_Opartition(X1,X2,c_List_Olist_ONil(X1)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olist_ONil(X1)),c_List_Olist_ONil(X1)),
inference(literals_permutation,[status(thm)],[c_0_3013]) ).
cnf(c_0_3017_0,axiom,
c_List_Osplice(X1,hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),c_List_Olist_ONil(X1)) = hAPP(hAPP(c_List_Olist_OCons(X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_3017]) ).
cnf(c_0_3091_0,axiom,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_3091]) ).
cnf(c_0_3121_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3129_0,axiom,
hAPP(hAPP(c_List_Olist_OCons(X1),X2),c_List_Olist_ONil(X1)) = c_List_Oinsert(X1,X2,c_List_Olist_ONil(X1)),
inference(literals_permutation,[status(thm)],[c_0_3129]) ).
cnf(c_0_3143_0,axiom,
c_Product__Type_Oprod_Oprod__case(X1,X2,X3) = c_Product__Type_Ointernal__split(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_3143]) ).
cnf(c_0_3154_0,axiom,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
inference(literals_permutation,[status(thm)],[c_0_3154]) ).
cnf(c_0_3155_0,axiom,
hBOOL(hAPP(c_List_Olistsp(X1,X2),c_List_Olist_ONil(X1))),
inference(literals_permutation,[status(thm)],[c_0_3155]) ).
cnf(c_0_3174_0,axiom,
c_Transitive__Closure_Ortrancl(tc_List_Olist(X1),c_List_Olistrel1(X1,X2)) = c_List_Olistrel(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_3174]) ).
cnf(c_0_3179_0,axiom,
c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
inference(literals_permutation,[status(thm)],[c_0_3179]) ).
cnf(c_0_3180_0,axiom,
c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2)) = X2,
inference(literals_permutation,[status(thm)],[c_0_3180]) ).
cnf(c_0_3188_0,axiom,
c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_3188]) ).
cnf(c_0_3191_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2),
inference(literals_permutation,[status(thm)],[c_0_3191]) ).
cnf(c_0_3198_0,axiom,
c_Nat_Osize__class_Osize(tc_List_Olist(X1),c_List_Orotate1(X1,X2)) = c_Nat_Osize__class_Osize(tc_List_Olist(X1),X2),
inference(literals_permutation,[status(thm)],[c_0_3198]) ).
cnf(c_0_3203_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_3203]) ).
cnf(c_0_3204_0,axiom,
c_List_OdropWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3204]) ).
cnf(c_0_3205_0,axiom,
c_List_OtakeWhile(X1,X2,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3205]) ).
cnf(c_0_3212_0,axiom,
c_List_Osplice(X1,X2,c_List_Olist_ONil(X1)) = X2,
inference(literals_permutation,[status(thm)],[c_0_3212]) ).
cnf(c_0_3213_0,axiom,
c_List_Osplice(X1,c_List_Olist_ONil(X1),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_3213]) ).
cnf(c_0_3216_0,axiom,
hAPP(hAPP(c_List_Oappend(X1),X2),c_List_Olist_ONil(X1)) = X2,
inference(literals_permutation,[status(thm)],[c_0_3216]) ).
cnf(c_0_3221_0,axiom,
c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2)) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_3221]) ).
cnf(c_0_3222_0,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_3222]) ).
cnf(c_0_3226_0,axiom,
c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_3226]) ).
cnf(c_0_3227_0,axiom,
c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_3227]) ).
cnf(c_0_3236_0,axiom,
c_List_Obutlast(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3236]) ).
cnf(c_0_3237_0,axiom,
c_List_Orotate1(X1,c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_3237]) ).
cnf(c_0_3238_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_3238]) ).
cnf(c_0_3239_0,axiom,
c_List_Odistinct(X1,c_List_Olist_ONil(X1)),
inference(literals_permutation,[status(thm)],[c_0_3239]) ).
cnf(c_0_3240_0,axiom,
class_Orderings_Oord(tc_HOL_Obool),
inference(literals_permutation,[status(thm)],[c_0_3240]) ).
cnf(c_0_3241_0,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
inference(literals_permutation,[status(thm)],[c_0_3241]) ).
cnf(c_0_3242_0,axiom,
class_Lattices_Olattice(tc_HOL_Obool),
inference(literals_permutation,[status(thm)],[c_0_3242]) ).
cnf(c_0_3243_0,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
inference(literals_permutation,[status(thm)],[c_0_3243]) ).
cnf(c_0_3244_0,axiom,
class_Lattices_Osemilattice__inf(tc_HOL_Obool),
inference(literals_permutation,[status(thm)],[c_0_3244]) ).
cnf(c_0_3245_0,axiom,
class_Orderings_Oord(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3245]) ).
cnf(c_0_3246_0,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3246]) ).
cnf(c_0_3247_0,axiom,
class_Lattices_Olattice(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3247]) ).
cnf(c_0_3248_0,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3248]) ).
cnf(c_0_3249_0,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3249]) ).
cnf(c_0_3250_0,axiom,
class_Lattices_Osemilattice__inf(tc_Nat_Onat),
inference(literals_permutation,[status(thm)],[c_0_3250]) ).
cnf(c_0_3251_0,axiom,
c_Arrow__Order__Mirabelle_OIIA(v_F),
inference(literals_permutation,[status(thm)],[c_0_3251]) ).
cnf(c_0_3252_0,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(literals_permutation,[status(thm)],[c_0_3252]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
file('<stdin>',conj_0) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X1)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X1))) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
c_0_3,
[final] ).
cnf(c_0_6_007,negated_conjecture,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,esk1_0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
c_0_4,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_2080,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2453_1) ).
cnf(c_4849,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(copy,[status(esa)],[c_2080]) ).
cnf(c_137509,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(instantiation,[status(thm)],[c_4849]) ).
cnf(c_1924,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2506_0) ).
cnf(c_4693,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(copy,[status(esa)],[c_1924]) ).
cnf(c_116912,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(instantiation,[status(thm)],[c_4693]) ).
cnf(c_2075,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2455_1) ).
cnf(c_4844,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(copy,[status(esa)],[c_2075]) ).
cnf(c_91556,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(instantiation,[status(thm)],[c_4844]) ).
cnf(c_1878,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2527_0) ).
cnf(c_4647,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(copy,[status(esa)],[c_1878]) ).
cnf(c_74023,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(instantiation,[status(thm)],[c_4647]) ).
cnf(c_1459,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2646_0) ).
cnf(c_4228,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(copy,[status(esa)],[c_1459]) ).
cnf(c_74025,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sk2_esk1_0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____))) ),
inference(instantiation,[status(thm)],[c_4228]) ).
cnf(c_1434,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_2656_1) ).
cnf(c_4203,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(copy,[status(esa)],[c_1434]) ).
cnf(c_58810,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sk2_esk1_0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____))) ),
inference(instantiation,[status(thm)],[c_4203]) ).
cnf(c_2227,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sk2_esk1_0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_5) ).
cnf(c_2228,negated_conjecture,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sk2_esk1_0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sk2_esk1_0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ee651e.p',c_0_6) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_137509,c_116912,c_91556,c_74023,c_74025,c_58810,c_2227,c_2228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 21:02:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.42/0.60 % Orienting using strategy Equiv(ClausalAll)
% 0.42/0.60 % FOF problem with conjecture
% 0.42/0.60 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_521a07.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ee651e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b7f105 | grep -v "SZS"
% 0.45/0.62
% 0.45/0.62 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.45/0.62
% 0.45/0.62 %
% 0.45/0.62 % ------ iProver source info
% 0.45/0.62
% 0.45/0.62 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.45/0.62 % git: non_committed_changes: true
% 0.45/0.62 % git: last_make_outside_of_git: true
% 0.45/0.62
% 0.45/0.62 %
% 0.45/0.62 % ------ Input Options
% 0.45/0.62
% 0.45/0.62 % --out_options all
% 0.45/0.62 % --tptp_safe_out true
% 0.45/0.62 % --problem_path ""
% 0.45/0.62 % --include_path ""
% 0.45/0.62 % --clausifier .//eprover
% 0.45/0.62 % --clausifier_options --tstp-format
% 0.45/0.62 % --stdin false
% 0.45/0.62 % --dbg_backtrace false
% 0.45/0.62 % --dbg_dump_prop_clauses false
% 0.45/0.62 % --dbg_dump_prop_clauses_file -
% 0.45/0.62 % --dbg_out_stat false
% 0.45/0.62
% 0.45/0.62 % ------ General Options
% 0.45/0.62
% 0.45/0.62 % --fof false
% 0.45/0.62 % --time_out_real 150.
% 0.45/0.62 % --time_out_prep_mult 0.2
% 0.45/0.62 % --time_out_virtual -1.
% 0.45/0.62 % --schedule none
% 0.45/0.62 % --ground_splitting input
% 0.45/0.62 % --splitting_nvd 16
% 0.45/0.62 % --non_eq_to_eq false
% 0.45/0.62 % --prep_gs_sim true
% 0.45/0.62 % --prep_unflatten false
% 0.45/0.62 % --prep_res_sim true
% 0.45/0.62 % --prep_upred true
% 0.45/0.62 % --res_sim_input true
% 0.45/0.62 % --clause_weak_htbl true
% 0.45/0.62 % --gc_record_bc_elim false
% 0.45/0.62 % --symbol_type_check false
% 0.45/0.62 % --clausify_out false
% 0.45/0.62 % --large_theory_mode false
% 0.45/0.62 % --prep_sem_filter none
% 0.45/0.62 % --prep_sem_filter_out false
% 0.45/0.62 % --preprocessed_out false
% 0.45/0.62 % --sub_typing false
% 0.45/0.62 % --brand_transform false
% 0.45/0.62 % --pure_diseq_elim true
% 0.45/0.62 % --min_unsat_core false
% 0.45/0.62 % --pred_elim true
% 0.45/0.62 % --add_important_lit false
% 0.45/0.62 % --soft_assumptions false
% 0.45/0.62 % --reset_solvers false
% 0.45/0.62 % --bc_imp_inh []
% 0.45/0.62 % --conj_cone_tolerance 1.5
% 0.45/0.62 % --prolific_symb_bound 500
% 0.45/0.62 % --lt_threshold 2000
% 0.45/0.62
% 0.45/0.62 % ------ SAT Options
% 0.45/0.62
% 0.45/0.62 % --sat_mode false
% 0.45/0.62 % --sat_fm_restart_options ""
% 0.45/0.62 % --sat_gr_def false
% 0.45/0.62 % --sat_epr_types true
% 0.45/0.62 % --sat_non_cyclic_types false
% 0.45/0.62 % --sat_finite_models false
% 0.45/0.62 % --sat_fm_lemmas false
% 0.45/0.62 % --sat_fm_prep false
% 0.45/0.62 % --sat_fm_uc_incr true
% 0.45/0.62 % --sat_out_model small
% 0.45/0.62 % --sat_out_clauses false
% 0.45/0.62
% 0.45/0.62 % ------ QBF Options
% 0.45/0.62
% 0.45/0.62 % --qbf_mode false
% 0.45/0.62 % --qbf_elim_univ true
% 0.45/0.62 % --qbf_sk_in true
% 0.45/0.62 % --qbf_pred_elim true
% 0.45/0.62 % --qbf_split 32
% 0.45/0.62
% 0.45/0.62 % ------ BMC1 Options
% 0.45/0.62
% 0.45/0.62 % --bmc1_incremental false
% 0.45/0.62 % --bmc1_axioms reachable_all
% 0.45/0.62 % --bmc1_min_bound 0
% 0.45/0.62 % --bmc1_max_bound -1
% 0.45/0.62 % --bmc1_max_bound_default -1
% 0.45/0.62 % --bmc1_symbol_reachability true
% 0.45/0.62 % --bmc1_property_lemmas false
% 0.45/0.62 % --bmc1_k_induction false
% 0.45/0.62 % --bmc1_non_equiv_states false
% 0.45/0.62 % --bmc1_deadlock false
% 0.45/0.62 % --bmc1_ucm false
% 0.45/0.62 % --bmc1_add_unsat_core none
% 0.45/0.62 % --bmc1_unsat_core_children false
% 0.45/0.62 % --bmc1_unsat_core_extrapolate_axioms false
% 0.45/0.62 % --bmc1_out_stat full
% 0.45/0.62 % --bmc1_ground_init false
% 0.45/0.62 % --bmc1_pre_inst_next_state false
% 0.45/0.62 % --bmc1_pre_inst_state false
% 0.45/0.62 % --bmc1_pre_inst_reach_state false
% 0.45/0.62 % --bmc1_out_unsat_core false
% 0.45/0.62 % --bmc1_aig_witness_out false
% 0.45/0.62 % --bmc1_verbose false
% 0.45/0.62 % --bmc1_dump_clauses_tptp false
% 0.45/0.64 % --bmc1_dump_unsat_core_tptp false
% 0.45/0.64 % --bmc1_dump_file -
% 0.45/0.64 % --bmc1_ucm_expand_uc_limit 128
% 0.45/0.64 % --bmc1_ucm_n_expand_iterations 6
% 0.45/0.64 % --bmc1_ucm_extend_mode 1
% 0.45/0.64 % --bmc1_ucm_init_mode 2
% 0.45/0.64 % --bmc1_ucm_cone_mode none
% 0.45/0.64 % --bmc1_ucm_reduced_relation_type 0
% 0.45/0.64 % --bmc1_ucm_relax_model 4
% 0.45/0.64 % --bmc1_ucm_full_tr_after_sat true
% 0.45/0.64 % --bmc1_ucm_expand_neg_assumptions false
% 0.45/0.64 % --bmc1_ucm_layered_model none
% 0.45/0.64 % --bmc1_ucm_max_lemma_size 10
% 0.45/0.64
% 0.45/0.64 % ------ AIG Options
% 0.45/0.64
% 0.45/0.64 % --aig_mode false
% 0.45/0.64
% 0.45/0.64 % ------ Instantiation Options
% 0.45/0.64
% 0.45/0.64 % --instantiation_flag true
% 0.45/0.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.45/0.64 % --inst_solver_per_active 750
% 0.45/0.64 % --inst_solver_calls_frac 0.5
% 0.45/0.64 % --inst_passive_queue_type priority_queues
% 0.45/0.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.45/0.64 % --inst_passive_queues_freq [25;2]
% 0.45/0.64 % --inst_dismatching true
% 0.45/0.64 % --inst_eager_unprocessed_to_passive true
% 0.45/0.64 % --inst_prop_sim_given true
% 0.45/0.64 % --inst_prop_sim_new false
% 0.45/0.64 % --inst_orphan_elimination true
% 0.45/0.64 % --inst_learning_loop_flag true
% 0.45/0.64 % --inst_learning_start 3000
% 0.45/0.64 % --inst_learning_factor 2
% 0.45/0.64 % --inst_start_prop_sim_after_learn 3
% 0.45/0.64 % --inst_sel_renew solver
% 0.45/0.64 % --inst_lit_activity_flag true
% 0.45/0.64 % --inst_out_proof true
% 0.45/0.64
% 0.45/0.64 % ------ Resolution Options
% 0.45/0.64
% 0.45/0.64 % --resolution_flag true
% 0.45/0.64 % --res_lit_sel kbo_max
% 0.45/0.64 % --res_to_prop_solver none
% 0.45/0.64 % --res_prop_simpl_new false
% 0.45/0.64 % --res_prop_simpl_given false
% 0.45/0.64 % --res_passive_queue_type priority_queues
% 0.45/0.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.45/0.64 % --res_passive_queues_freq [15;5]
% 0.45/0.64 % --res_forward_subs full
% 0.45/0.64 % --res_backward_subs full
% 0.45/0.64 % --res_forward_subs_resolution true
% 0.45/0.64 % --res_backward_subs_resolution true
% 0.45/0.64 % --res_orphan_elimination false
% 0.45/0.64 % --res_time_limit 1000.
% 0.45/0.64 % --res_out_proof true
% 0.45/0.64 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_521a07.s
% 0.45/0.64 % --modulo true
% 0.45/0.64
% 0.45/0.64 % ------ Combination Options
% 0.45/0.64
% 0.45/0.64 % --comb_res_mult 1000
% 0.45/0.64 % --comb_inst_mult 300
% 0.45/0.64 % ------
% 0.45/0.64
% 0.45/0.64 % ------ Parsing...%
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 % ------ Statistics
% 0.45/0.64
% 0.45/0.64 % ------ General
% 0.45/0.64
% 0.45/0.64 % num_of_input_clauses: 223
% 0.45/0.64 % num_of_input_neg_conjectures: 0
% 0.45/0.64 % num_of_splits: 0
% 0.45/0.64 % num_of_split_atoms: 0
% 0.45/0.64 % num_of_sem_filtered_clauses: 0
% 0.45/0.64 % num_of_subtypes: 0
% 0.45/0.64 % monotx_restored_types: 0
% 0.45/0.64 % sat_num_of_epr_types: 0
% 0.45/0.64 % sat_num_of_non_cyclic_types: 0
% 0.45/0.64 % sat_guarded_non_collapsed_types: 0
% 0.45/0.64 % is_epr: 0
% 0.45/0.64 % is_horn: 0
% 0.45/0.64 % has_eq: 0
% 0.45/0.64 % num_pure_diseq_elim: 0
% 0.45/0.64 % simp_replaced_by: 0
% 0.45/0.64 % res_preprocessed: 0
% 0.45/0.64 % prep_upred: 0
% 0.45/0.64 % prep_unflattend: 0
% 0.45/0.64 % pred_elim_cands: 0
% 0.45/0.64 % pred_elim: 0
% 0.45/0.64 % pred_elim_cl: 0
% 0.45/0.64 % pred_elim_cycles: 0
% 0.45/0.64 % forced_gc_time: 0
% 0.45/0.64 % gc_basic_clause_elim: 0
% 0.45/0.64 % parsing_time: 0.
% 0.45/0.64 % sem_filter_time: 0.
% 0.45/0.64 % pred_elim_time: 0.
% 0.45/0.64 % out_proof_time: 0.
% 0.45/0.64 % monotx_time: 0.
% 0.45/0.64 % subtype_inf_time: 0.
% 0.45/0.64 % unif_index_cands_time: 0.
% 0.45/0.64 % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_ee651e.p line: 226 near token: '!='")
% 0.45/0.64 nif_index_add_time: 0.
% 0.45/0.64 % total_time: 0.034
% 0.45/0.64 % num_of_symbols: 110
% 0.45/0.64 % num_of_terms: 1236
% 0.45/0.64
% 0.45/0.64 % ------ Propositional Solver
% 0.45/0.64
% 0.45/0.64 % prop_solver_calls: 0
% 0.45/0.64 % prop_fast_solver_calls: 0
% 0.45/0.64 % prop_num_of_clauses: 0
% 0.45/0.64 % prop_preprocess_simplified: 0
% 0.45/0.64 % prop_fo_subsumed: 0
% 0.45/0.64 % prop_solver_time: 0.
% 0.45/0.64 % prop_fast_solver_time: 0.
% 0.45/0.64 % prop_unsat_core_time: 0.
% 0.45/0.64
% 0.45/0.64 % ------ QBF
% 0.45/0.64
% 0.45/0.64 % qbf_q_res: 0
% 0.45/0.64 % qbf_num_tautologies: 0
% 0.45/0.64 % qbf_prep_cycles: 0
% 0.45/0.64
% 0.45/0.64 % ------ BMC1
% 0.45/0.64
% 0.45/0.64 % bmc1_current_bound: -1
% 0.45/0.64 % bmc1_last_solved_bound: -1
% 0.45/0.64 % bmc1_unsat_core_size: -1
% 0.45/0.64 % bmc1_unsat_core_parents_size: -1
% 0.45/0.64 % bmc1_merge_next_fun: 0
% 0.45/0.64 % bmc1_unsat_core_clauses_time: 0.
% 0.45/0.64
% 0.45/0.64 % ------ Instantiation
% 0.45/0.64
% 0.45/0.64 % inst_num_of_clauses: undef
% 0.45/0.64 % inst_num_in_passive: undef
% 0.45/0.64 % inst_num_in_active: 0
% 0.45/0.64 % inst_num_in_unprocessed: 0
% 0.45/0.64 % inst_num_of_loops: 0
% 0.45/0.64 % inst_num_of_learning_restarts: 0
% 0.45/0.64 % inst_num_moves_active_passive: 0
% 0.45/0.64 % inst_lit_activity: 0
% 0.45/0.64 % inst_lit_activity_moves: 0
% 0.45/0.64 % inst_num_tautologies: 0
% 0.45/0.64 % inst_num_prop_implied: 0
% 0.45/0.64 % inst_num_existing_simplified: 0
% 0.45/0.64 % inst_num_eq_res_simplified: 0
% 0.45/0.64 % inst_num_child_elim: 0
% 0.45/0.64 % inst_num_of_dismatching_blockings: 0
% 0.45/0.64 % inst_num_of_non_proper_insts: 0
% 0.45/0.64 % inst_num_of_duplicates: 0
% 0.45/0.64 % inst_inst_num_from_inst_to_res: 0
% 0.45/0.64 % inst_dismatching_checking_time: 0.
% 0.45/0.64
% 0.45/0.64 % ------ Resolution
% 0.45/0.64
% 0.45/0.64 % res_num_of_clauses: undef
% 0.45/0.64 % res_num_in_passive: undef
% 0.45/0.64 % res_num_in_active: 0
% 0.45/0.64 % res_num_of_loops: 0
% 0.45/0.64 % res_forward_subset_subsumed: 0
% 0.45/0.64 % res_backward_subset_subsumed: 0
% 0.45/0.64 % res_forward_subsumed: 0
% 0.45/0.64 % res_backward_subsumed: 0
% 0.45/0.64 % res_forward_subsumption_resolution: 0
% 0.45/0.64 % res_backward_subsumption_resolution: 0
% 0.45/0.64 % res_clause_to_clause_subsumption: 0
% 0.45/0.64 % res_orphan_elimination: 0
% 0.45/0.64 % res_tautology_del: 0
% 0.45/0.64 % res_num_eq_res_simplified: 0
% 0.45/0.64 % res_num_sel_changes: 0
% 0.45/0.64 % res_moves_from_active_to_pass: 0
% 0.45/0.64
% 0.45/0.64 % Status Unknown
% 0.50/0.87 % Orienting using strategy ClausalAll
% 0.50/0.87 % FOF problem with conjecture
% 0.50/0.87 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_521a07.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ee651e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_26c905 | grep -v "SZS"
% 0.74/0.88
% 0.74/0.88 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.74/0.88
% 0.74/0.88 %
% 0.74/0.88 % ------ iProver source info
% 0.74/0.88
% 0.74/0.88 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.74/0.88 % git: non_committed_changes: true
% 0.74/0.88 % git: last_make_outside_of_git: true
% 0.74/0.88
% 0.74/0.88 %
% 0.74/0.88 % ------ Input Options
% 0.74/0.88
% 0.74/0.88 % --out_options all
% 0.74/0.88 % --tptp_safe_out true
% 0.74/0.88 % --problem_path ""
% 0.74/0.88 % --include_path ""
% 0.74/0.88 % --clausifier .//eprover
% 0.74/0.88 % --clausifier_options --tstp-format
% 0.74/0.88 % --stdin false
% 0.74/0.88 % --dbg_backtrace false
% 0.74/0.88 % --dbg_dump_prop_clauses false
% 0.74/0.88 % --dbg_dump_prop_clauses_file -
% 0.74/0.88 % --dbg_out_stat false
% 0.74/0.88
% 0.74/0.88 % ------ General Options
% 0.74/0.88
% 0.74/0.88 % --fof false
% 0.74/0.88 % --time_out_real 150.
% 0.74/0.88 % --time_out_prep_mult 0.2
% 0.74/0.88 % --time_out_virtual -1.
% 0.74/0.88 % --schedule none
% 0.74/0.88 % --ground_splitting input
% 0.74/0.88 % --splitting_nvd 16
% 0.74/0.88 % --non_eq_to_eq false
% 0.74/0.88 % --prep_gs_sim true
% 0.74/0.88 % --prep_unflatten false
% 0.74/0.88 % --prep_res_sim true
% 0.74/0.88 % --prep_upred true
% 0.74/0.88 % --res_sim_input true
% 0.74/0.88 % --clause_weak_htbl true
% 0.74/0.88 % --gc_record_bc_elim false
% 0.74/0.88 % --symbol_type_check false
% 0.74/0.88 % --clausify_out false
% 0.74/0.88 % --large_theory_mode false
% 0.74/0.88 % --prep_sem_filter none
% 0.74/0.88 % --prep_sem_filter_out false
% 0.74/0.88 % --preprocessed_out false
% 0.74/0.88 % --sub_typing false
% 0.74/0.88 % --brand_transform false
% 0.74/0.88 % --pure_diseq_elim true
% 0.74/0.88 % --min_unsat_core false
% 0.74/0.88 % --pred_elim true
% 0.74/0.88 % --add_important_lit false
% 0.74/0.88 % --soft_assumptions false
% 0.74/0.88 % --reset_solvers false
% 0.74/0.88 % --bc_imp_inh []
% 0.74/0.88 % --conj_cone_tolerance 1.5
% 0.74/0.88 % --prolific_symb_bound 500
% 0.74/0.88 % --lt_threshold 2000
% 0.74/0.88
% 0.74/0.88 % ------ SAT Options
% 0.74/0.88
% 0.74/0.88 % --sat_mode false
% 0.74/0.88 % --sat_fm_restart_options ""
% 0.74/0.88 % --sat_gr_def false
% 0.74/0.88 % --sat_epr_types true
% 0.74/0.88 % --sat_non_cyclic_types false
% 0.74/0.88 % --sat_finite_models false
% 0.74/0.88 % --sat_fm_lemmas false
% 0.74/0.88 % --sat_fm_prep false
% 0.74/0.88 % --sat_fm_uc_incr true
% 0.74/0.88 % --sat_out_model small
% 0.74/0.88 % --sat_out_clauses false
% 0.74/0.88
% 0.74/0.88 % ------ QBF Options
% 0.74/0.88
% 0.74/0.88 % --qbf_mode false
% 0.74/0.88 % --qbf_elim_univ true
% 0.74/0.88 % --qbf_sk_in true
% 0.74/0.88 % --qbf_pred_elim true
% 0.74/0.88 % --qbf_split 32
% 0.74/0.88
% 0.74/0.88 % ------ BMC1 Options
% 0.74/0.88
% 0.74/0.88 % --bmc1_incremental false
% 0.74/0.88 % --bmc1_axioms reachable_all
% 0.74/0.88 % --bmc1_min_bound 0
% 0.74/0.88 % --bmc1_max_bound -1
% 0.74/0.88 % --bmc1_max_bound_default -1
% 0.74/0.88 % --bmc1_symbol_reachability true
% 0.74/0.88 % --bmc1_property_lemmas false
% 0.74/0.88 % --bmc1_k_induction false
% 0.74/0.88 % --bmc1_non_equiv_states false
% 0.74/0.88 % --bmc1_deadlock false
% 0.74/0.88 % --bmc1_ucm false
% 0.74/0.88 % --bmc1_add_unsat_core none
% 0.74/0.88 % --bmc1_unsat_core_children false
% 0.74/0.88 % --bmc1_unsat_core_extrapolate_axioms false
% 0.74/0.88 % --bmc1_out_stat full
% 0.74/0.88 % --bmc1_ground_init false
% 0.74/0.88 % --bmc1_pre_inst_next_state false
% 0.74/0.88 % --bmc1_pre_inst_state false
% 0.74/0.88 % --bmc1_pre_inst_reach_state false
% 0.74/0.88 % --bmc1_out_unsat_core false
% 0.74/0.88 % --bmc1_aig_witness_out false
% 0.74/0.88 % --bmc1_verbose false
% 0.74/0.88 % --bmc1_dump_clauses_tptp false
% 7.03/7.28 % --bmc1_dump_unsat_core_tptp false
% 7.03/7.28 % --bmc1_dump_file -
% 7.03/7.28 % --bmc1_ucm_expand_uc_limit 128
% 7.03/7.28 % --bmc1_ucm_n_expand_iterations 6
% 7.03/7.28 % --bmc1_ucm_extend_mode 1
% 7.03/7.28 % --bmc1_ucm_init_mode 2
% 7.03/7.28 % --bmc1_ucm_cone_mode none
% 7.03/7.28 % --bmc1_ucm_reduced_relation_type 0
% 7.03/7.28 % --bmc1_ucm_relax_model 4
% 7.03/7.28 % --bmc1_ucm_full_tr_after_sat true
% 7.03/7.28 % --bmc1_ucm_expand_neg_assumptions false
% 7.03/7.28 % --bmc1_ucm_layered_model none
% 7.03/7.28 % --bmc1_ucm_max_lemma_size 10
% 7.03/7.28
% 7.03/7.28 % ------ AIG Options
% 7.03/7.28
% 7.03/7.28 % --aig_mode false
% 7.03/7.28
% 7.03/7.28 % ------ Instantiation Options
% 7.03/7.28
% 7.03/7.28 % --instantiation_flag true
% 7.03/7.28 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.03/7.28 % --inst_solver_per_active 750
% 7.03/7.28 % --inst_solver_calls_frac 0.5
% 7.03/7.28 % --inst_passive_queue_type priority_queues
% 7.03/7.28 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.03/7.28 % --inst_passive_queues_freq [25;2]
% 7.03/7.28 % --inst_dismatching true
% 7.03/7.28 % --inst_eager_unprocessed_to_passive true
% 7.03/7.28 % --inst_prop_sim_given true
% 7.03/7.28 % --inst_prop_sim_new false
% 7.03/7.28 % --inst_orphan_elimination true
% 7.03/7.28 % --inst_learning_loop_flag true
% 7.03/7.28 % --inst_learning_start 3000
% 7.03/7.28 % --inst_learning_factor 2
% 7.03/7.28 % --inst_start_prop_sim_after_learn 3
% 7.03/7.28 % --inst_sel_renew solver
% 7.03/7.28 % --inst_lit_activity_flag true
% 7.03/7.28 % --inst_out_proof true
% 7.03/7.28
% 7.03/7.28 % ------ Resolution Options
% 7.03/7.28
% 7.03/7.28 % --resolution_flag true
% 7.03/7.28 % --res_lit_sel kbo_max
% 7.03/7.28 % --res_to_prop_solver none
% 7.03/7.28 % --res_prop_simpl_new false
% 7.03/7.28 % --res_prop_simpl_given false
% 7.03/7.28 % --res_passive_queue_type priority_queues
% 7.03/7.28 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.03/7.28 % --res_passive_queues_freq [15;5]
% 7.03/7.28 % --res_forward_subs full
% 7.03/7.28 % --res_backward_subs full
% 7.03/7.28 % --res_forward_subs_resolution true
% 7.03/7.28 % --res_backward_subs_resolution true
% 7.03/7.28 % --res_orphan_elimination false
% 7.03/7.28 % --res_time_limit 1000.
% 7.03/7.28 % --res_out_proof true
% 7.03/7.28 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_521a07.s
% 7.03/7.28 % --modulo true
% 7.03/7.28
% 7.03/7.28 % ------ Combination Options
% 7.03/7.28
% 7.03/7.28 % --comb_res_mult 1000
% 7.03/7.28 % --comb_inst_mult 300
% 7.03/7.28 % ------
% 7.03/7.28
% 7.03/7.28 % ------ Parsing...% successful
% 7.03/7.28
% 7.03/7.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 7.03/7.28
% 7.03/7.28 % ------ Proving...
% 7.03/7.28 % ------ Problem Properties
% 7.03/7.28
% 7.03/7.28 %
% 7.03/7.28 % EPR false
% 7.03/7.28 % Horn false
% 7.03/7.28 % Has equality true
% 7.03/7.28
% 7.03/7.28 % % ------ Input Options Time Limit: Unbounded
% 7.03/7.28
% 7.03/7.28
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 Compiling...
% 7.03/7.28 Loading plugin: done.
% 7.03/7.28 % % ------ Current options:
% 7.03/7.28
% 7.03/7.28 % ------ Input Options
% 7.03/7.28
% 7.03/7.28 % --out_options all
% 7.03/7.28 % --tptp_safe_out true
% 7.03/7.28 % --problem_path ""
% 7.03/7.28 % --include_path ""
% 7.03/7.28 % --clausifier .//eprover
% 7.03/7.28 % --clausifier_options --tstp-format
% 7.03/7.28 % --stdin false
% 7.03/7.28 % --dbg_backtrace false
% 7.03/7.28 % --dbg_dump_prop_clauses false
% 7.03/7.28 % --dbg_dump_prop_clauses_file -
% 7.03/7.28 % --dbg_out_stat false
% 7.03/7.28
% 7.03/7.28 % ------ General Options
% 7.03/7.28
% 7.03/7.28 % --fof false
% 7.03/7.28 % --time_out_real 150.
% 7.03/7.28 % --time_out_prep_mult 0.2
% 7.03/7.28 % --time_out_virtual -1.
% 7.03/7.28 % --schedule none
% 7.03/7.28 % --ground_splitting input
% 7.03/7.28 % --splitting_nvd 16
% 7.03/7.28 % --non_eq_to_eq false
% 7.03/7.28 % --prep_gs_sim true
% 7.03/7.28 % --prep_unflatten false
% 7.03/7.28 % --prep_res_sim true
% 7.03/7.28 % --prep_upred true
% 7.03/7.28 % --res_sim_input true
% 7.03/7.28 % --clause_weak_htbl true
% 7.03/7.28 % --gc_record_bc_elim false
% 7.03/7.28 % --symbol_type_check false
% 7.03/7.28 % --clausify_out false
% 7.03/7.28 % --large_theory_mode false
% 7.03/7.28 % --prep_sem_filter none
% 7.03/7.28 % --prep_sem_filter_out false
% 7.03/7.28 % --preprocessed_out false
% 7.03/7.28 % --sub_typing false
% 7.03/7.28 % --brand_transform false
% 7.03/7.28 % --pure_diseq_elim true
% 7.03/7.28 % --min_unsat_core false
% 7.03/7.28 % --pred_elim true
% 7.03/7.28 % --add_important_lit false
% 7.03/7.28 % --soft_assumptions false
% 7.03/7.28 % --reset_solvers false
% 7.03/7.28 % --bc_imp_inh []
% 7.03/7.28 % --conj_cone_tolerance 1.5
% 7.03/7.28 % --prolific_symb_bound 500
% 7.03/7.28 % --lt_threshold 2000
% 7.03/7.28
% 7.03/7.28 % ------ SAT Options
% 7.03/7.28
% 7.03/7.28 % --sat_mode false
% 7.03/7.28 % --sat_fm_restart_options ""
% 7.03/7.28 % --sat_gr_def false
% 7.03/7.28 % --sat_epr_types true
% 7.03/7.28 % --sat_non_cyclic_types false
% 7.03/7.28 % --sat_finite_models false
% 7.03/7.28 % --sat_fm_lemmas false
% 7.03/7.28 % --sat_fm_prep false
% 7.03/7.28 % --sat_fm_uc_incr true
% 7.03/7.28 % --sat_out_model small
% 7.03/7.28 % --sat_out_clauses false
% 7.03/7.28
% 7.03/7.28 % ------ QBF Options
% 7.03/7.28
% 7.03/7.28 % --qbf_mode false
% 7.03/7.28 % --qbf_elim_univ true
% 7.03/7.28 % --qbf_sk_in true
% 7.03/7.28 % --qbf_pred_elim true
% 7.03/7.28 % --qbf_split 32
% 7.03/7.28
% 7.03/7.28 % ------ BMC1 Options
% 7.03/7.28
% 7.03/7.28 % --bmc1_incremental false
% 7.03/7.28 % --bmc1_axioms reachable_all
% 7.03/7.28 % --bmc1_min_bound 0
% 7.03/7.28 % --bmc1_max_bound -1
% 7.03/7.28 % --bmc1_max_bound_default -1
% 7.03/7.28 % --bmc1_symbol_reachability true
% 7.03/7.28 % --bmc1_property_lemmas false
% 7.03/7.28 % --bmc1_k_induction false
% 7.03/7.28 % --bmc1_non_equiv_states false
% 7.03/7.28 % --bmc1_deadlock false
% 7.03/7.28 % --bmc1_ucm false
% 7.03/7.28 % --bmc1_add_unsat_core none
% 7.03/7.28 % --bmc1_unsat_core_children false
% 7.03/7.28 % --bmc1_unsat_core_extrapolate_axioms false
% 7.03/7.28 % --bmc1_out_stat full
% 7.03/7.28 % --bmc1_ground_init false
% 7.03/7.28 % --bmc1_pre_inst_next_state false
% 7.03/7.28 % --bmc1_pre_inst_state false
% 7.03/7.28 % --bmc1_pre_inst_reach_state false
% 7.03/7.28 % --bmc1_out_unsat_core false
% 7.03/7.28 % --bmc1_aig_witness_out false
% 7.03/7.28 % --bmc1_verbose false
% 7.03/7.28 % --bmc1_dump_clauses_tptp false
% 7.03/7.28 % --bmc1_dump_unsat_core_tptp false
% 7.03/7.28 % --bmc1_dump_file -
% 7.03/7.28 % --bmc1_ucm_expand_uc_limit 128
% 7.03/7.28 % --bmc1_ucm_n_expand_iterations 6
% 7.03/7.28 % --bmc1_ucm_extend_mode 1
% 7.03/7.28 % --bmc1_ucm_init_mode 2
% 7.03/7.28 % --bmc1_ucm_cone_mode none
% 7.03/7.28 % --bmc1_ucm_reduced_relation_type 0
% 7.03/7.28 % --bmc1_ucm_relax_model 4
% 7.03/7.28 % --bmc1_ucm_full_tr_after_sat true
% 7.03/7.28 % --bmc1_ucm_expand_neg_assumptions false
% 7.03/7.28 % --bmc1_ucm_layered_model none
% 7.03/7.28 % --bmc1_ucm_max_lemma_size 10
% 7.03/7.28
% 7.03/7.28 % ------ AIG Options
% 7.03/7.28
% 7.03/7.28 % --aig_mode false
% 23.04/23.24
% 23.04/23.24 % ------ Instantiation Options
% 23.04/23.24
% 23.04/23.24 % --instantiation_flag true
% 23.04/23.24 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 23.04/23.24 % --inst_solver_per_active 750
% 23.04/23.24 % --inst_solver_calls_frac 0.5
% 23.04/23.24 % --inst_passive_queue_type priority_queues
% 23.04/23.24 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 23.04/23.24 % --inst_passive_queues_freq [25;2]
% 23.04/23.24 % --inst_dismatching true
% 23.04/23.24 % --inst_eager_unprocessed_to_passive true
% 23.04/23.24 % --inst_prop_sim_given true
% 23.04/23.24 % --inst_prop_sim_new false
% 23.04/23.24 % --inst_orphan_elimination true
% 23.04/23.24 % --inst_learning_loop_flag true
% 23.04/23.24 % --inst_learning_start 3000
% 23.04/23.24 % --inst_learning_factor 2
% 23.04/23.24 % --inst_start_prop_sim_after_learn 3
% 23.04/23.24 % --inst_sel_renew solver
% 23.04/23.24 % --inst_lit_activity_flag true
% 23.04/23.24 % --inst_out_proof true
% 23.04/23.24
% 23.04/23.24 % ------ Resolution Options
% 23.04/23.24
% 23.04/23.24 % --resolution_flag true
% 23.04/23.24 % --res_lit_sel kbo_max
% 23.04/23.24 % --res_to_prop_solver none
% 23.04/23.24 % --res_prop_simpl_new false
% 23.04/23.24 % --res_prop_simpl_given false
% 23.04/23.24 % --res_passive_queue_type priority_queues
% 23.04/23.24 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 23.04/23.24 % --res_passive_queues_freq [15;5]
% 23.04/23.24 % --res_forward_subs full
% 23.04/23.24 % --res_backward_subs full
% 23.04/23.24 % --res_forward_subs_resolution true
% 23.04/23.24 % --res_backward_subs_resolution true
% 23.04/23.24 % --res_orphan_elimination false
% 23.04/23.24 % --res_time_limit 1000.
% 23.04/23.24 % --res_out_proof true
% 23.04/23.24 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_521a07.s
% 23.04/23.24 % --modulo true
% 23.04/23.24
% 23.04/23.24 % ------ Combination Options
% 23.04/23.24
% 23.04/23.24 % --comb_res_mult 1000
% 23.04/23.24 % --comb_inst_mult 300
% 23.04/23.24 % ------
% 23.04/23.24
% 23.04/23.24
% 23.04/23.24
% 23.04/23.24 % ------ Proving...
% 23.04/23.24 %
% 23.04/23.24
% 23.04/23.24
% 23.04/23.24 % ------ Statistics
% 23.04/23.24
% 23.04/23.24 % ------ General
% 23.04/23.24
% 23.04/23.24 % num_of_input_clauses: 2229
% 23.04/23.24 % num_of_input_neg_conjectures: 2
% 23.04/23.24 % num_of_splits: 0
% 23.04/23.24 % num_of_split_atoms: 0
% 23.04/23.24 % num_of_sem_filtered_clauses: 0
% 23.04/23.24 % num_of_subtypes: 0
% 23.04/23.24 % monotx_restored_types: 0
% 23.04/23.24 % sat_num_of_epr_types: 0
% 23.04/23.24 % sat_num_of_non_cyclic_types: 0
% 23.04/23.24 % sat_guarded_non_collapsed_types: 0
% 23.04/23.24 % is_epr: 0
% 23.04/23.24 % is_horn: 0
% 23.04/23.24 % has_eq: 1
% 23.04/23.24 % num_pure_diseq_elim: 0
% 23.04/23.24 % simp_replaced_by: 0
% 23.04/23.24 % res_preprocessed: 4
% 23.04/23.24 % prep_upred: 0
% 23.04/23.24 % prep_unflattend: 0
% 23.04/23.24 % pred_elim_cands: 0
% 23.04/23.24 % pred_elim: 0
% 23.04/23.24 % pred_elim_cl: 0
% 23.04/23.24 % pred_elim_cycles: 0
% 23.04/23.24 % forced_gc_time: 0
% 23.04/23.24 % gc_basic_clause_elim: 0
% 23.04/23.24 % parsing_time: 0.151
% 23.04/23.24 % sem_filter_time: 0.
% 23.04/23.24 % pred_elim_time: 0.
% 23.04/23.24 % out_proof_time: 0.002
% 23.04/23.24 % monotx_time: 0.
% 23.04/23.24 % subtype_inf_time: 0.
% 23.04/23.24 % unif_index_cands_time: 0.024
% 23.04/23.24 % unif_index_add_time: 0.011
% 23.04/23.24 % total_time: 22.369
% 23.04/23.24 % num_of_symbols: 221
% 23.04/23.24 % num_of_terms: 183348
% 23.04/23.24
% 23.04/23.24 % ------ Propositional Solver
% 23.04/23.24
% 23.04/23.24 % prop_solver_calls: 6
% 23.04/23.24 % prop_fast_solver_calls: 12
% 23.04/23.24 % prop_num_of_clauses: 10331
% 23.04/23.24 % prop_preprocess_simplified: 20917
% 23.04/23.24 % prop_fo_subsumed: 0
% 23.04/23.24 % prop_solver_time: 0.002
% 23.04/23.24 % prop_fast_solver_time: 0.
% 23.04/23.24 % prop_unsat_core_time: 0.001
% 23.04/23.24
% 23.04/23.24 % ------ QBF
% 23.04/23.24
% 23.04/23.24 % qbf_q_res: 0
% 23.04/23.24 % qbf_num_tautologies: 0
% 23.04/23.24 % qbf_prep_cycles: 0
% 23.04/23.24
% 23.04/23.24 % ------ BMC1
% 23.04/23.24
% 23.04/23.24 % bmc1_current_bound: -1
% 23.04/23.24 % bmc1_last_solved_bound: -1
% 23.04/23.24 % bmc1_unsat_core_size: -1
% 23.04/23.24 % bmc1_unsat_core_parents_size: -1
% 23.04/23.24 % bmc1_merge_next_fun: 0
% 23.04/23.24 % bmc1_unsat_core_clauses_time: 0.
% 23.04/23.24
% 23.04/23.24 % ------ Instantiation
% 23.04/23.24
% 23.04/23.24 % inst_num_of_clauses: 6629
% 23.04/23.24 % inst_num_in_passive: 3323
% 23.04/23.24 % inst_num_in_active: 1052
% 23.04/23.24 % inst_num_in_unprocessed: 2213
% 23.04/23.24 % inst_num_of_loops: 1426
% 23.04/23.24 % inst_num_of_learning_restarts: 0
% 23.04/23.24 % inst_num_moves_active_passive: 331
% 23.04/23.24 % inst_lit_activity: 852
% 23.04/23.24 % inst_lit_activity_moves: 0
% 23.04/23.24 % inst_num_tautologies: 41
% 23.04/23.24 % inst_num_prop_implied: 0
% 23.04/23.24 % inst_num_existing_simplified: 0
% 23.04/23.24 % inst_num_eq_res_simplified: 0
% 23.04/23.24 % inst_num_child_elim: 0
% 23.04/23.24 % inst_num_of_dismatching_blockings: 6351
% 23.04/23.24 % inst_num_of_non_proper_insts: 10347
% 23.04/23.24 % inst_num_of_duplicates: 6628
% 23.04/23.24 % inst_inst_num_from_inst_to_res: 0
% 23.04/23.24 % inst_dismatching_checking_time: 0.024
% 23.04/23.24
% 23.04/23.24 % ------ Resolution
% 23.04/23.24
% 23.04/23.24 % res_num_of_clauses: 39441
% 23.04/23.24 % res_num_in_passive: 36206
% 23.04/23.24 % res_num_in_active: 1906
% 23.04/23.24 % res_num_of_loops: 5000
% 23.04/23.24 % res_forward_subset_subsumed: 4506
% 23.04/23.24 % res_backward_subset_subsumed: 785
% 23.04/23.24 % res_forward_subsumed: 3165
% 23.04/23.24 % res_backward_subsumed: 55
% 23.04/23.24 % res_forward_subsumption_resolution: 1068
% 23.04/23.24 % res_backward_subsumption_resolution: 18
% 23.04/23.24 % res_clause_to_clause_subsumption: 114704
% 23.04/23.24 % res_orphan_elimination: 0
% 23.04/23.24 % res_tautology_del: 456
% 23.04/23.24 % res_num_eq_res_simplified: 44
% 23.04/23.24 % res_num_sel_changes: 0
% 23.04/23.24 % res_moves_from_active_to_pass: 0
% 23.04/23.24
% 23.04/23.24 % Status Unsatisfiable
% 23.04/23.24 % SZS status Theorem
% 23.04/23.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------