TSTP Solution File: SWW474+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW474+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.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 : Thu Jul 21 00:30:07 EDT 2022
% Result : Theorem 8.04s 8.27s
% Output : CNFRefutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 876
% Syntax : Number of formulae : 8599 (1896 unt; 0 def)
% Number of atoms : 25527 (6356 equ)
% Maximal formula atoms : 84 ( 2 avg)
% Number of connectives : 28923 (11995 ~;13950 |; 780 &)
% ( 232 <=>;1966 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 695 ( 695 usr; 129 con; 0-7 aty)
% Number of variables : 22110 (1560 sgn6670 !; 96 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X14,X13,X3,X51,X52,X53,X54] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X54))
=> ( ! [X55] :
( is_pname(X55)
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X51,X55)),hAPP_pname_com(X52,X55)),hAPP_p1637813682e_bool(X53,X55))),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X14,X55)),hAPP_pname_com(X52,X55)),hAPP_p1637813682e_bool(X13,X55))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X51)),X52)),X53)),X54)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),X52)),X13)),X54))) ) ) ),
file('<stdin>',fact_378_finite__pointwise) ).
fof(c_0_1,axiom,
! [X3,X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X15))))),fequal_state))),X15),fequal_state)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_533_MGT__alternD) ).
fof(c_0_2,axiom,
! [X3,X15,X13,X14] :
( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X57))),X15),cOMBK_631994958_state(hAPP_s1806633685e_bool(X13,X56)))),bot_bo1055319631e_bool))) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_379_escape) ).
fof(c_0_3,axiom,
! [X3,X15] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X15))))),fequal_state))),X15),fequal_state)),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_534_MGT__alternI) ).
fof(c_0_4,axiom,
! [X13,X14,X3,X51,X15,X53] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X51),X15),X53)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> ! [X60] :
( ! [X61] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X51,X61),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X53,X61),X60)) )
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X13,X56),X60)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_399_conseq12) ).
fof(c_0_5,axiom,
! [X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))) ),
file('<stdin>',fact_380_Body__sound__lemma) ).
fof(c_0_6,axiom,
! [X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))) ),
file('<stdin>',fact_335_hoare__derivs_OBody) ).
fof(c_0_7,axiom,
! [X8,X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X39))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X14,X8)),hAPP_pname_com(body_1,X8)),hAPP_p1637813682e_bool(X13,X8))),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_360_Body1) ).
fof(c_0_8,axiom,
! [X3,X14,X20,X15] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X14))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X20))),while(X20,X15)),X14)),bot_bo1055319631e_bool))),
file('<stdin>',fact_489_LoopF) ).
fof(c_0_9,axiom,
! [X3,X14,X15,X13,X22] :
( ( hBOOL(X22)
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X14))),X22)),X15),X13)),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_359_constant) ).
fof(c_0_10,axiom,
! [X13,X3,X14,X15,X53] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X53)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X53,X56),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X13,X56),X57)) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_382_conseq2) ).
fof(c_0_11,axiom,
! [X14,X3,X51,X15,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X51),X15),X13)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X51,X56),X57)) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_381_conseq1) ).
fof(c_0_12,axiom,
! [X14,X8,X13,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),X3)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_377_BodyN) ).
fof(c_0_13,axiom,
! [X15,X12,X17,X20] :
( X12 = hAPP_f921536533e_bool(X17,X20)
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X20))
=> ( ! [X21,X34] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X21))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X34)),hAPP_f921536533e_bool(X17,X21))) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X15)),X12)) ) ) ),
file('<stdin>',fact_547_xt1_I15_J) ).
fof(c_0_14,axiom,
! [X15,X12,X17,X20] :
( X12 = hAPP_f759274231e_bool(X17,X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X20))
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X34),X21))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X34)),hAPP_f759274231e_bool(X17,X21))) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X15)),X12)) ) ) ),
file('<stdin>',fact_546_xt1_I15_J) ).
fof(c_0_15,axiom,
! [X17,X15,X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X12))
=> ( hAPP_f921536533e_bool(X17,X20) = X15
=> ( ! [X21,X34] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X21))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X34)),hAPP_f921536533e_bool(X17,X21))) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),hAPP_f921536533e_bool(X17,X12))) ) ) ),
file('<stdin>',fact_549_xt1_I16_J) ).
fof(c_0_16,axiom,
! [X17,X15,X20,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X12))
=> ( hAPP_f759274231e_bool(X17,X20) = X15
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X34),X21))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X34)),hAPP_f759274231e_bool(X17,X21))) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),hAPP_f759274231e_bool(X17,X12))) ) ) ),
file('<stdin>',fact_548_xt1_I16_J) ).
fof(c_0_17,axiom,
! [X65,X10,X17,X11] :
( is_fun_pname_bool(X65)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( ! [X21,X34] :
( ( is_pname(X21)
& is_pname(X34) )
=> hAPP_pname_pname(X10,hAPP_pname_pname(hAPP_p1170154830_pname(X17,X21),X34)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_pname_pname(X10,X21)),hAPP_pname_pname(X10,X34)) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X65))
=> ( X65 != bot_bo844097828e_bool
=> hAPP_pname_pname(X10,hAPP_f1297739591_pname(X11,X65)) = hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(image_pname_pname(X10),X65)) ) ) ) ) ),
file('<stdin>',fact_487_folding__one__idem_Ohom__commute) ).
fof(c_0_18,axiom,
! [X65,X10,X17,X11] :
( is_fun1661590463l_bool(X65)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> hAPP_f759274231e_bool(X10,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X21),X34)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f759274231e_bool(X10,X21)),hAPP_f759274231e_bool(X10,X34)) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X65))
=> ( X65 != bot_bo1649642514l_bool
=> hAPP_f759274231e_bool(X10,hAPP_f674760225e_bool(X11,X65)) = hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(image_2063528359e_bool(X10),X65)) ) ) ) ) ),
file('<stdin>',fact_485_folding__one__idem_Ohom__commute) ).
fof(c_0_19,axiom,
! [X65,X10,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( ! [X21,X34] : hAPP_H563960305_state(X10,hAPP_H563960305_state(hAPP_H521649881_state(X17,X21),X34)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_H563960305_state(X10,X21)),hAPP_H563960305_state(X10,X34))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X65))
=> ( X65 != bot_bo1055319631e_bool
=> hAPP_H563960305_state(X10,hAPP_f2143211163_state(X11,X65)) = hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(image_650584225_state(X10),X65)) ) ) ) ),
file('<stdin>',fact_488_folding__one__idem_Ohom__commute) ).
fof(c_0_20,axiom,
! [X65,X10,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( ! [X21,X34] : hAPP_f921536533e_bool(X10,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X21),X34)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f921536533e_bool(X10,X21)),hAPP_f921536533e_bool(X10,X34))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X65))
=> ( X65 != bot_bo1325454745l_bool
=> hAPP_f921536533e_bool(X10,hAPP_f772567431e_bool(X11,X65)) = hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(image_505022149e_bool(X10),X65)) ) ) ) ),
file('<stdin>',fact_486_folding__one__idem_Ohom__commute) ).
fof(c_0_21,axiom,
! [X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X21),X34)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X34),bot_bo1649642514l_bool)))) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X11,X9)),X9)) ) ) ) ) ),
file('<stdin>',fact_517_folding__one_Oclosed) ).
fof(c_0_22,axiom,
! [X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( ! [X21,X34] :
( ( is_pname(X21)
& is_pname(X34) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X17,X21),X34)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X34),bot_bo844097828e_bool)))) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X11,X9)),X9)) ) ) ) ) ),
file('<stdin>',fact_515_folding__one_Oclosed) ).
fof(c_0_23,axiom,
! [X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( ! [X21,X34] : hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X21),X34)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X34),bot_bo1325454745l_bool))))
=> hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X11,X9)),X9)) ) ) ) ),
file('<stdin>',fact_518_folding__one_Oclosed) ).
fof(c_0_24,axiom,
! [X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( ! [X21,X34] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X17,X21),X34)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X34),bot_bo1055319631e_bool))))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X11,X9)),X9)) ) ) ) ),
file('<stdin>',fact_516_folding__one_Oclosed) ).
fof(c_0_25,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X17)),hAPP_p1842370726_state(X17,X21)))))) ) ) ),
file('<stdin>',fact_256_pigeonhole__infinite) ).
fof(c_0_26,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X17)),hAPP_H1645666623e_bool(X17,X21)))))) ) ) ),
file('<stdin>',fact_255_pigeonhole__infinite) ).
fof(c_0_27,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X17)),hAPP_H1632039476e_bool(X17,X21)))))) ) ) ),
file('<stdin>',fact_254_pigeonhole__infinite) ).
fof(c_0_28,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
& ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X17)),hAPP_f1008690464_pname(X17,X21)))))) ) ) ),
file('<stdin>',fact_253_pigeonhole__infinite) ).
fof(c_0_29,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> ? [X21] :
( is_fun_pname_bool(X21)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
& ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X17)),hAPP_f1297739591_pname(X17,X21)))))) ) ) ),
file('<stdin>',fact_252_pigeonhole__infinite) ).
fof(c_0_30,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X17)),hAPP_H1344248906_pname(X17,X21)))))) ) ) ),
file('<stdin>',fact_251_pigeonhole__infinite) ).
fof(c_0_31,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X17)),hAPP_pname_pname(X17,X21)))))) ) ) ),
file('<stdin>',fact_250_pigeonhole__infinite) ).
fof(c_0_32,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
& ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X17)),hAPP_f2143211163_state(X17,X21)))))) ) ) ),
file('<stdin>',fact_249_pigeonhole__infinite) ).
fof(c_0_33,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> ? [X21] :
( is_fun_pname_bool(X21)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
& ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X17)),hAPP_f1308959284_state(X17,X21)))))) ) ) ),
file('<stdin>',fact_248_pigeonhole__infinite) ).
fof(c_0_34,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X17)),hAPP_H563960305_state(X17,X21)))))) ) ) ),
file('<stdin>',fact_247_pigeonhole__infinite) ).
fof(c_0_35,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X17)),hAPP_p877885514e_bool(X17,X21)))))) ) ) ),
file('<stdin>',fact_246_pigeonhole__infinite) ).
fof(c_0_36,axiom,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X17)),hAPP_p61793385e_bool(X17,X21)))))) ) ) ),
file('<stdin>',fact_245_pigeonhole__infinite) ).
fof(c_0_37,axiom,
! [X3,X14,X8,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_269_weak__Body) ).
fof(c_0_38,axiom,
! [X25,X58,X3,X14,X15,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X13),X25),X58)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),semi(X15,X25)),X58)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_490_Comp) ).
fof(c_0_39,axiom,
! [X8,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8))),X3)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8)))),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8))),bot_bo1055319631e_bool))) ),
file('<stdin>',fact_7_MGT__BodyN) ).
fof(c_0_40,axiom,
! [X14,X13,X15] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
file('<stdin>',fact_383_MGF__complete) ).
fof(c_0_41,axiom,
! [X3,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X39)))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X39))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X39))) ) ),
file('<stdin>',fact_258_MGT__Body) ).
fof(c_0_42,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> ( ! [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X21))
=> hBOOL(hAPP_f1760790145l_bool(X13,X21)) ) )
=> hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),hAPP_f1970439265l_bool(collec111528142e_bool,X14))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X19),hAPP_f1970439265l_bool(collec111528142e_bool,X13)))) ) ),
file('<stdin>',fact_673_Int__Collect__mono) ).
fof(c_0_43,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X21))
=> hBOOL(hAPP_f1664156314l_bool(X13,X21)) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),hAPP_f559147733l_bool(collec1974731493e_bool,X14))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X19),hAPP_f559147733l_bool(collec1974731493e_bool,X13)))) ) ),
file('<stdin>',fact_672_Int__Collect__mono) ).
fof(c_0_44,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> ( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(collec727977250_state,X14))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),hAPP_f921536533e_bool(collec727977250_state,X13)))) ) ),
file('<stdin>',fact_671_Int__Collect__mono) ).
fof(c_0_45,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(collect_pname,X14))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),hAPP_f759274231e_bool(collect_pname,X13)))) ) ),
file('<stdin>',fact_670_Int__Collect__mono) ).
fof(c_0_46,axiom,
! [X14,X17,X50,X59] : hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X14)),X17)),X50)),X59) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X59),hAPP_f759274231e_bool(collect_pname,X14)))),hAPP_f631639356e_bool(image_275883510_state(X50),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X59),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X14))))),
file('<stdin>',fact_668_if__image__distrib) ).
fof(c_0_47,axiom,
! [X15,X3] :
( hBOOL(hoare_298929751gleton)
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),dom_pname_com(body)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X21))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
file('<stdin>',fact_214_MGF__lemma1) ).
fof(c_0_48,axiom,
! [X20,X15,X88,X7] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X88),X7))
=> ( ( X7 = X88
=> hBOOL(hAPP_state_bool(X20,X88)) )
=> ~ ( hBOOL(hAPP_state_bool(X20,X88))
=> ! [X95] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X15),X88),X95))
=> ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X95),X7)) ) ) ) ),
file('<stdin>',fact_545_evalc__WHILE__case) ).
fof(c_0_49,axiom,
! [X67,X68,X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X67,X68)),X86),X87))
=> ~ ! [X95] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X67),X86),X95))
=> ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X68),X95),X87)) ) ),
file('<stdin>',fact_544_evalc__elim__cases_I4_J) ).
fof(c_0_50,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X11),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,bot_bo1055319631e_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),X32))) ) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_221_finite__subset__induct) ).
fof(c_0_51,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X11),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
=> ( ! [X31,X32] :
( ( is_pname(X31)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X31),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_220_finite__subset__induct) ).
fof(c_0_52,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X11),X9))
=> ( hBOOL(hAPP_f239102607l_bool(X14,bot_bo1325454745l_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X31),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X31),X32))) ) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_219_finite__subset__induct) ).
fof(c_0_53,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X11),X9))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
=> ( ! [X31,X32] :
( ( is_fun_pname_bool(X31)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X31),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_218_finite__subset__induct) ).
fof(c_0_54,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)))),
file('<stdin>',fact_664_distrib__inf__le) ).
fof(c_0_55,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X18),X23)))),
file('<stdin>',fact_663_distrib__inf__le) ).
fof(c_0_56,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X9)),
file('<stdin>',fact_592_Un__Int__crazy) ).
fof(c_0_57,axiom,
! [X17,X50,X83,X65] :
( X83 = X65
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X65))
=> hAPP_p1842370726_state(X17,X21) = hAPP_p1842370726_state(X50,X21) ) )
=> hAPP_f631639356e_bool(image_275883510_state(X17),X83) = hAPP_f631639356e_bool(image_275883510_state(X50),X65) ) ),
file('<stdin>',fact_520_image__cong) ).
fof(c_0_58,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)))),
file('<stdin>',fact_662_distrib__sup__le) ).
fof(c_0_59,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X23)))),
file('<stdin>',fact_661_distrib__sup__le) ).
fof(c_0_60,axiom,
! [X17,X19,X9] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X17,X21)),X19)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),X19)) ),
file('<stdin>',fact_263_image__subsetI) ).
fof(c_0_61,axiom,
! [X17,X19,X9] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X17,X21)),X19)) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)),X19)) ),
file('<stdin>',fact_262_image__subsetI) ).
fof(c_0_62,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)),X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X58),X59))) ),
file('<stdin>',fact_591_inf__Int__eq) ).
fof(c_0_63,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)),X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X58),X59))) ),
file('<stdin>',fact_590_inf__Int__eq) ).
fof(c_0_64,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)),X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X58),X59))) ),
file('<stdin>',fact_398_sup__Un__eq) ).
fof(c_0_65,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)),X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X58),X59))) ),
file('<stdin>',fact_397_sup__Un__eq) ).
fof(c_0_66,axiom,
! [X12,X14] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(collec727977250_state,X14)) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12)))),X14)),
file('<stdin>',fact_103_insert__Collect) ).
fof(c_0_67,axiom,
! [X12,X14] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),hAPP_f1970439265l_bool(collec111528142e_bool,X14)) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12)))),X14)),
file('<stdin>',fact_102_insert__Collect) ).
fof(c_0_68,axiom,
! [X12,X14] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),hAPP_f559147733l_bool(collec1974731493e_bool,X14)) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12)))),X14)),
file('<stdin>',fact_101_insert__Collect) ).
fof(c_0_69,axiom,
! [X12,X14] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(collect_pname,X14)) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12)))),X14)),
file('<stdin>',fact_100_insert__Collect) ).
fof(c_0_70,axiom,
! [X3,X14] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),skip),X14)),bot_bo1055319631e_bool))),
file('<stdin>',fact_469_hoare__derivs_OSkip) ).
fof(c_0_71,axiom,
! [X14,X17,X50] : dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X14)),X17)),X50)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X17)),hAPP_f759274231e_bool(collect_pname,X14))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X50)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X14)))),
file('<stdin>',fact_669_dom__if) ).
fof(c_0_72,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X14)))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X13))) ) ),
file('<stdin>',fact_136_finite__Collect__disjI) ).
fof(c_0_73,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X14)))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X13))) ) ),
file('<stdin>',fact_135_finite__Collect__disjI) ).
fof(c_0_74,axiom,
! [X14,X13] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X13))) ) ),
file('<stdin>',fact_134_finite__Collect__disjI) ).
fof(c_0_75,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X13))) ) ),
file('<stdin>',fact_133_finite__Collect__disjI) ).
fof(c_0_76,axiom,
! [X14,X11] :
( is_fun1661590463l_bool(X11)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( X11 != bot_bo1649642514l_bool
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),bot_bo1649642514l_bool))) )
=> ( ! [X21,X32] :
( ( is_fun_pname_bool(X21)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( X32 != bot_bo1649642514l_bool
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ) ),
file('<stdin>',fact_476_finite__ne__induct) ).
fof(c_0_77,axiom,
! [X14,X11] :
( is_fun_pname_bool(X11)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( X11 != bot_bo844097828e_bool
=> ( ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),bot_bo844097828e_bool))) )
=> ( ! [X21,X32] :
( ( is_pname(X21)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( X32 != bot_bo844097828e_bool
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ) ),
file('<stdin>',fact_474_finite__ne__induct) ).
fof(c_0_78,axiom,
! [X14,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( X11 != bot_bo1325454745l_bool
=> ( ! [X21] : hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),bot_bo1325454745l_bool)))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( X32 != bot_bo1325454745l_bool
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_477_finite__ne__induct) ).
fof(c_0_79,axiom,
! [X14,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( X11 != bot_bo1055319631e_bool
=> ( ! [X21] : hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),bot_bo1055319631e_bool)))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( X32 != bot_bo1055319631e_bool
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ) ),
file('<stdin>',fact_475_finite__ne__induct) ).
fof(c_0_80,axiom,
! [X17,X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)))),
file('<stdin>',fact_665_image__Int__subset) ).
fof(c_0_81,axiom,
! [X14,X9,X19] :
( ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) )
<=> ( ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) )
| ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) ) ) ),
file('<stdin>',fact_284_bex__Un) ).
fof(c_0_82,axiom,
! [X14,X9,X19] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) )
<=> ( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) )
& ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) ) ) ),
file('<stdin>',fact_283_ball__Un) ).
fof(c_0_83,axiom,
! [X29,X84,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X29))),X84),X85))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X29)),X84),X85)) ),
file('<stdin>',fact_536_evalc_OBody) ).
fof(c_0_84,axiom,
! [X33,X86,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X33)),X86),X85))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X33))),X86),X85)) ),
file('<stdin>',fact_537_evalc__elim__cases_I6_J) ).
fof(c_0_85,axiom,
! [X89,X15,X90,X20,X91] :
( hBOOL(hAPP_state_bool(X20,X91))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X15),X91),X90))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X90),X89))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X91),X89)) ) ) ),
file('<stdin>',fact_540_evalc_OWhileTrue) ).
fof(c_0_86,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X14)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X13))) )
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X14)),X13)))) ),
file('<stdin>',fact_34_finite__Collect__conjI) ).
fof(c_0_87,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X14)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X13))) )
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X14)),X13)))) ),
file('<stdin>',fact_33_finite__Collect__conjI) ).
fof(c_0_88,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X13))) )
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X14)),X13)))) ),
file('<stdin>',fact_32_finite__Collect__conjI) ).
fof(c_0_89,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X13))) )
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X14)),X13)))) ),
file('<stdin>',fact_31_finite__Collect__conjI) ).
fof(c_0_90,axiom,
! [X17,X50] :
( ! [X21] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50)) ),
file('<stdin>',fact_401_le__funI) ).
fof(c_0_91,axiom,
! [X17,X50] :
( ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X21)),hAPP_pname_bool(X50,X21))) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50)) ),
file('<stdin>',fact_400_le__funI) ).
fof(c_0_92,axiom,
! [X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
<=> ! [X21] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21))) ),
file('<stdin>',fact_372_le__fun__def) ).
fof(c_0_93,axiom,
! [X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
<=> ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X21)),hAPP_pname_bool(X50,X21))) ) ),
file('<stdin>',fact_371_le__fun__def) ).
fof(c_0_94,axiom,
! [X9,X19] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
file('<stdin>',fact_575_Int__def) ).
fof(c_0_95,axiom,
! [X9,X19] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
file('<stdin>',fact_574_Int__def) ).
fof(c_0_96,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
file('<stdin>',fact_573_Int__def) ).
fof(c_0_97,axiom,
! [X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
file('<stdin>',fact_572_Int__def) ).
fof(c_0_98,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
file('<stdin>',fact_294_Un__def) ).
fof(c_0_99,axiom,
! [X9,X19] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
file('<stdin>',fact_293_Un__def) ).
fof(c_0_100,axiom,
! [X9,X19] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
file('<stdin>',fact_292_Un__def) ).
fof(c_0_101,axiom,
! [X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
file('<stdin>',fact_291_Un__def) ).
fof(c_0_102,axiom,
! [X21,X24] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X24) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X21))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X24))),
file('<stdin>',fact_140_insert__compr__raw) ).
fof(c_0_103,axiom,
! [X21,X24] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X24) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X21))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X24))),
file('<stdin>',fact_139_insert__compr__raw) ).
fof(c_0_104,axiom,
! [X21,X24] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X24) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X21))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X24))),
file('<stdin>',fact_138_insert__compr__raw) ).
fof(c_0_105,axiom,
! [X21,X24] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X24) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X21))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X24))),
file('<stdin>',fact_137_insert__compr__raw) ).
fof(c_0_106,axiom,
! [X12,X19] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
file('<stdin>',fact_107_insert__compr) ).
fof(c_0_107,axiom,
! [X12,X19] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
file('<stdin>',fact_106_insert__compr) ).
fof(c_0_108,axiom,
! [X12,X19] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
file('<stdin>',fact_105_insert__compr) ).
fof(c_0_109,axiom,
! [X12,X19] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
file('<stdin>',fact_104_insert__compr) ).
fof(c_0_110,axiom,
! [X14,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,bot_bo1055319631e_bool))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X32))) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ),
file('<stdin>',fact_240_finite__induct) ).
fof(c_0_111,axiom,
! [X14,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
=> ( ! [X21,X32] :
( ( is_pname(X21)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ),
file('<stdin>',fact_239_finite__induct) ).
fof(c_0_112,axiom,
! [X14,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(X14,bot_bo1325454745l_bool))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X32))) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ),
file('<stdin>',fact_238_finite__induct) ).
fof(c_0_113,axiom,
! [X14,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
=> ( ! [X21,X32] :
( ( is_fun_pname_bool(X21)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ),
file('<stdin>',fact_237_finite__induct) ).
fof(c_0_114,axiom,
! [X16,X18,X23] :
( ! [X21,X34,X96] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X34),X96)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X34)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X96))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23)) ),
file('<stdin>',fact_675_distrib__imp2) ).
fof(c_0_115,axiom,
! [X16,X18,X23] :
( ! [X21,X34,X96] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X34),X96)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X34)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X96))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)) ),
file('<stdin>',fact_674_distrib__imp1) ).
fof(c_0_116,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) != bot_bo1055319631e_bool
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ),
file('<stdin>',fact_553_folding__one_Ounion__inter) ).
fof(c_0_117,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) != bot_bo844097828e_bool
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ),
file('<stdin>',fact_552_folding__one_Ounion__inter) ).
fof(c_0_118,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) != bot_bo1325454745l_bool
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19))),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ),
file('<stdin>',fact_551_folding__one_Ounion__inter) ).
fof(c_0_119,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) != bot_bo1649642514l_bool
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19))),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ),
file('<stdin>',fact_550_folding__one_Ounion__inter) ).
fof(c_0_120,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X16)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,X9) = X16 )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,X9) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)))) ) ) ) ) ) ),
file('<stdin>',fact_678_folding__one_Oremove) ).
fof(c_0_121,axiom,
! [X16,X9,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,X9) = X16 )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,X9) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))) ) ) ) ) ) ),
file('<stdin>',fact_676_folding__one_Oremove) ).
fof(c_0_122,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X14)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X14)) = bot_bo1055319631e_bool ) ),
file('<stdin>',fact_201_Collect__conv__if) ).
fof(c_0_123,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X14)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X14)) = bot_bo1325454745l_bool ) ),
file('<stdin>',fact_200_Collect__conv__if) ).
fof(c_0_124,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X14)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X14)) = bot_bo1649642514l_bool ) ),
file('<stdin>',fact_199_Collect__conv__if) ).
fof(c_0_125,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X14)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X14)) = bot_bo844097828e_bool ) ),
file('<stdin>',fact_198_Collect__conv__if) ).
fof(c_0_126,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,X9) = X16 )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)))) ) ) ) ) ),
file('<stdin>',fact_679_folding__one_Oremove) ).
fof(c_0_127,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,X9) = X16 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,X9) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))) ) ) ) ) ),
file('<stdin>',fact_677_folding__one_Oremove) ).
fof(c_0_128,axiom,
! [X58,X59] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X58),X59)) ),
file('<stdin>',fact_396_pred__subset__eq) ).
fof(c_0_129,axiom,
! [X58,X59] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X58),X59)) ),
file('<stdin>',fact_395_pred__subset__eq) ).
fof(c_0_130,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f759274231e_bool(image_pname_pname(X17),X35) ) ) ) ),
file('<stdin>',fact_234_finite__subset__image) ).
fof(c_0_131,axiom,
! [X17,X9,X19] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f434788991l_bool(image_47868345e_bool(X17),X35) ) ) ) ),
file('<stdin>',fact_232_finite__subset__image) ).
fof(c_0_132,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X35) ) ) ) ),
file('<stdin>',fact_231_finite__subset__image) ).
fof(c_0_133,axiom,
! [X17,X9,X19] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f748867288l_bool(image_1259634916e_bool(X17),X35) ) ) ) ),
file('<stdin>',fact_229_finite__subset__image) ).
fof(c_0_134,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X9))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35))
& X19 = hAPP_f280588268e_bool(image_636285904_pname(X17),X35) ) ) ) ),
file('<stdin>',fact_228_finite__subset__image) ).
fof(c_0_135,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> ? [X35] :
( is_fun1661590463l_bool(X35)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X9))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
& X19 = hAPP_f674760225e_bool(image_1283814551_pname(X17),X35) ) ) ) ),
file('<stdin>',fact_227_finite__subset__image) ).
fof(c_0_136,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f631639356e_bool(image_275883510_state(X17),X35) ) ) ),
file('<stdin>',fact_235_finite__subset__image) ).
fof(c_0_137,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f1874607724l_bool(image_505480954e_bool(X17),X35) ) ) ),
file('<stdin>',fact_233_finite__subset__image) ).
fof(c_0_138,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f854625363l_bool(image_277167759e_bool(X17),X35) ) ) ),
file('<stdin>',fact_230_finite__subset__image) ).
fof(c_0_139,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X9))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35))
& X19 = hAPP_f772567431e_bool(image_774712299_state(X17),X35) ) ) ),
file('<stdin>',fact_226_finite__subset__image) ).
fof(c_0_140,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> ? [X35] :
( is_fun1661590463l_bool(X35)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X9))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
& X19 = hAPP_f780887186e_bool(image_936554724_state(X17),X35) ) ) ),
file('<stdin>',fact_225_finite__subset__image) ).
fof(c_0_141,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X16)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = X16 )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)))) ) ) ) ) ),
file('<stdin>',fact_682_folding__one_Oinsert__remove) ).
fof(c_0_142,axiom,
! [X16,X9,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = X16 )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))) ) ) ) ) ),
file('<stdin>',fact_680_folding__one_Oinsert__remove) ).
fof(c_0_143,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = X16 )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)))) ) ) ) ),
file('<stdin>',fact_683_folding__one_Oinsert__remove) ).
fof(c_0_144,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = X16 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))) ) ) ) ),
file('<stdin>',fact_681_folding__one_Oinsert__remove) ).
fof(c_0_145,axiom,
! [X20,X17,X9] :
( is_pname(X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ~ ! [X21] :
( X20 = hAPP_H1344248906_pname(X17,X21)
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9)) ) ) ),
file('<stdin>',fact_216_imageE) ).
fof(c_0_146,axiom,
! [X19,X17,X9] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
<=> ? [X27] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X9))
& X19 = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X27) ) ) ),
file('<stdin>',fact_195_subset__image__iff) ).
fof(c_0_147,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X25))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X15),X25))) ) ),
file('<stdin>',fact_648_inf__mono) ).
fof(c_0_148,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X25))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X15),X25))) ) ),
file('<stdin>',fact_647_inf__mono) ).
fof(c_0_149,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X26))) ) ),
file('<stdin>',fact_598_Int__mono) ).
fof(c_0_150,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X26))) ) ),
file('<stdin>',fact_597_Int__mono) ).
fof(c_0_151,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X25))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X15),X25))) ) ),
file('<stdin>',fact_430_sup__mono) ).
fof(c_0_152,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X25))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X15),X25))) ) ),
file('<stdin>',fact_429_sup__mono) ).
fof(c_0_153,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X26))) ) ),
file('<stdin>',fact_315_Un__mono) ).
fof(c_0_154,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X22),X26))) ) ),
file('<stdin>',fact_314_Un__mono) ).
fof(c_0_155,axiom,
! [X20,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ~ ! [X21] :
( is_pname(X21)
=> ( X20 = hAPP_p1842370726_state(X17,X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
file('<stdin>',fact_217_imageE) ).
fof(c_0_156,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
<=> ? [X27] :
( is_fun_pname_bool(X27)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X9))
& X19 = hAPP_f631639356e_bool(image_275883510_state(X17),X27) ) ),
file('<stdin>',fact_196_subset__image__iff) ).
fof(c_0_157,axiom,
! [X23,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
<=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& X23 = hAPP_p1842370726_state(X17,X21) ) ),
file('<stdin>',fact_132_image__iff) ).
fof(c_0_158,axiom,
! [X67,X92,X77,X84,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X77),X84),X85))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X67),X85),X92))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X77,X67)),X84),X92)) ) ),
file('<stdin>',fact_541_evalc_OSemi) ).
fof(c_0_159,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X23)) ) ),
file('<stdin>',fact_444_le__sup__iff) ).
fof(c_0_160,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18)),X23))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X23)) ) ),
file('<stdin>',fact_443_le__sup__iff) ).
fof(c_0_161,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X16))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16)) ) ),
file('<stdin>',fact_428_le__supE) ).
fof(c_0_162,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),X16))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16)) ) ),
file('<stdin>',fact_427_le__supE) ).
fof(c_0_163,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),X19))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ) ),
file('<stdin>',fact_186_insert__subset) ).
fof(c_0_164,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),X19))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
file('<stdin>',fact_185_insert__subset) ).
fof(c_0_165,axiom,
! [X12,X22,X26] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X22)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X26))) ),
file('<stdin>',fact_174_insert__mono) ).
fof(c_0_166,axiom,
! [X12,X22,X26] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X22)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X26))) ),
file('<stdin>',fact_173_insert__mono) ).
fof(c_0_167,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X16)) ) ),
file('<stdin>',fact_434_le__supI) ).
fof(c_0_168,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),X16)) ) ),
file('<stdin>',fact_433_le__supI) ).
fof(c_0_169,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),X16)) ) ),
file('<stdin>',fact_432_sup__least) ).
fof(c_0_170,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X18),X23)),X16)) ) ),
file('<stdin>',fact_431_sup__least) ).
fof(c_0_171,axiom,
! [X19,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X22))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),X22)) ) ),
file('<stdin>',fact_317_Un__least) ).
fof(c_0_172,axiom,
! [X19,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),X22)) ) ),
file('<stdin>',fact_316_Un__least) ).
fof(c_0_173,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),hAPP_f1970439265l_bool(collec111528142e_bool,X14))))
<=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
& hBOOL(hAPP_f1760790145l_bool(X14,X16)) ) ),
file('<stdin>',fact_589_Int__Collect) ).
fof(c_0_174,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),hAPP_f559147733l_bool(collec1974731493e_bool,X14))))
<=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
& hBOOL(hAPP_f1664156314l_bool(X14,X16)) ) ),
file('<stdin>',fact_588_Int__Collect) ).
fof(c_0_175,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(collec727977250_state,X14))))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
& hBOOL(hAPP_H513860823e_bool(X14,X16)) ) ),
file('<stdin>',fact_587_Int__Collect) ).
fof(c_0_176,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(collect_pname,X14))))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
& hBOOL(hAPP_pname_bool(X14,X16)) ) ),
file('<stdin>',fact_586_Int__Collect) ).
fof(c_0_177,axiom,
! [X9,X12,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))),X19),
file('<stdin>',fact_698_Diff__insert2) ).
fof(c_0_178,axiom,
! [X16,X14,X9] :
( ! [X21] :
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X21),set_com(X9)))
=> hBOOL(hAPP_com_bool(X14,X21)) )
=> ( X9 = some_com(X16)
=> hBOOL(hAPP_com_bool(X14,X16)) ) ),
file('<stdin>',fact_408_ospec) ).
fof(c_0_179,axiom,
! [X17,X50,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),X50),X16))
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
file('<stdin>',fact_410_sup__apply) ).
fof(c_0_180,axiom,
! [X17,X50,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),X50),X21))
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21))) ),
file('<stdin>',fact_409_sup__fun__def) ).
fof(c_0_181,axiom,
! [X4,X3,X7] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),X4))) ) ),
file('<stdin>',fact_5_hoare__derivs_Oinsert) ).
fof(c_0_182,axiom,
! [X9,X19,X22] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X9)) ),
file('<stdin>',fact_667_Un__Int__assoc__eq) ).
fof(c_0_183,axiom,
! [X9,X19,X22] :
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X22))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X9)) ),
file('<stdin>',fact_666_Un__Int__assoc__eq) ).
fof(c_0_184,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_287_Un__iff) ).
fof(c_0_185,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_286_Un__iff) ).
fof(c_0_186,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_273_UnE) ).
fof(c_0_187,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_272_UnE) ).
fof(c_0_188,axiom,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X19)))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ) ),
file('<stdin>',fact_184_subset__insert) ).
fof(c_0_189,axiom,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X19)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
file('<stdin>',fact_183_subset__insert) ).
fof(c_0_190,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),X16)) ),
file('<stdin>',fact_638_le__infI2) ).
fof(c_0_191,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),X16)) ),
file('<stdin>',fact_637_le__infI2) ).
fof(c_0_192,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),X16)) ),
file('<stdin>',fact_636_le__infI1) ).
fof(c_0_193,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),X16)) ),
file('<stdin>',fact_635_le__infI1) ).
fof(c_0_194,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X12))),X14)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X12))),X14)) = bot_bo1055319631e_bool ) ),
file('<stdin>',fact_205_Collect__conv__if2) ).
fof(c_0_195,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X12))),X14)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X12))),X14)) = bot_bo1325454745l_bool ) ),
file('<stdin>',fact_204_Collect__conv__if2) ).
fof(c_0_196,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X12))),X14)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X12))),X14)) = bot_bo1649642514l_bool ) ),
file('<stdin>',fact_203_Collect__conv__if2) ).
fof(c_0_197,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X12))),X14)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X12))),X14)) = bot_bo844097828e_bool ) ),
file('<stdin>',fact_202_Collect__conv__if2) ).
fof(c_0_198,axiom,
! [X3,X7,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),X4)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('<stdin>',fact_6_derivs__insertD) ).
fof(c_0_199,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_687_DiffE) ).
fof(c_0_200,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_686_DiffE) ).
fof(c_0_201,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23))) ) ),
file('<stdin>',fact_646_inf__greatest) ).
fof(c_0_202,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23))) ) ),
file('<stdin>',fact_645_inf__greatest) ).
fof(c_0_203,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20))) ) ),
file('<stdin>',fact_644_le__infI) ).
fof(c_0_204,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20))) ) ),
file('<stdin>',fact_643_le__infI) ).
fof(c_0_205,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23)) ) ),
file('<stdin>',fact_634_le__inf__iff) ).
fof(c_0_206,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23)) ) ),
file('<stdin>',fact_633_le__inf__iff) ).
fof(c_0_207,axiom,
! [X19,X22,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) ) ),
file('<stdin>',fact_600_Int__greatest) ).
fof(c_0_208,axiom,
! [X19,X22,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) ) ),
file('<stdin>',fact_599_Int__greatest) ).
fof(c_0_209,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
& hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_577_Int__iff) ).
fof(c_0_210,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_576_Int__iff) ).
fof(c_0_211,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) ) ),
file('<stdin>',fact_559_IntI) ).
fof(c_0_212,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) ) ),
file('<stdin>',fact_558_IntI) ).
fof(c_0_213,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
file('<stdin>',fact_94_insert__iff) ).
fof(c_0_214,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
file('<stdin>',fact_58_insertE) ).
fof(c_0_215,axiom,
! [X18,X23,X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)),X16) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X16)),
file('<stdin>',fact_656_sup__inf__distrib2) ).
fof(c_0_216,axiom,
! [X18,X23,X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),X16) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X16)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X16)),
file('<stdin>',fact_655_inf__sup__distrib2) ).
fof(c_0_217,axiom,
! [X19,X22,X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X9)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X9)),
file('<stdin>',fact_594_Int__Un__distrib2) ).
fof(c_0_218,axiom,
! [X19,X22,X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X9)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X9)),
file('<stdin>',fact_593_Un__Int__distrib2) ).
fof(c_0_219,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19))) ),
file('<stdin>',fact_194_image__mono) ).
fof(c_0_220,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X19))) ),
file('<stdin>',fact_193_image__mono) ).
fof(c_0_221,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ) ),
file('<stdin>',fact_95_insert__iff) ).
fof(c_0_222,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ) ),
file('<stdin>',fact_59_insertE) ).
fof(c_0_223,axiom,
! [X16,X12,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20)) ) ),
file('<stdin>',fact_650_le__infE) ).
fof(c_0_224,axiom,
! [X16,X12,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20)) ) ),
file('<stdin>',fact_649_le__infE) ).
fof(c_0_225,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ),
file('<stdin>',fact_581_IntD2) ).
fof(c_0_226,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ),
file('<stdin>',fact_580_IntD2) ).
fof(c_0_227,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9)) ),
file('<stdin>',fact_579_IntD1) ).
fof(c_0_228,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9)) ),
file('<stdin>',fact_578_IntD1) ).
fof(c_0_229,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_561_IntE) ).
fof(c_0_230,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_560_IntE) ).
fof(c_0_231,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19))) ) ),
file('<stdin>',fact_685_DiffI) ).
fof(c_0_232,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19))) ) ),
file('<stdin>',fact_684_DiffI) ).
fof(c_0_233,axiom,
! [X19,X9,X17,X11] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( X19 != bot_bo844097828e_bool
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ) ) ) ),
file('<stdin>',fact_556_folding__one_Ounion__disjoint) ).
fof(c_0_234,axiom,
! [X19,X9,X17,X11] :
( ( is_fun1661590463l_bool(X19)
& is_fun1661590463l_bool(X9) )
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( X19 != bot_bo1649642514l_bool
=> ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ) ) ) ),
file('<stdin>',fact_554_folding__one_Ounion__disjoint) ).
fof(c_0_235,axiom,
! [X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
file('<stdin>',fact_53_MGF) ).
fof(c_0_236,axiom,
! [X19,X12,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22) ) ),
file('<stdin>',fact_620_Int__insert__left) ).
fof(c_0_237,axiom,
! [X19,X12,X22] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22) ) ),
file('<stdin>',fact_619_Int__insert__left) ).
fof(c_0_238,axiom,
! [X19,X12,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) ),
file('<stdin>',fact_610_Int__insert__left__if1) ).
fof(c_0_239,axiom,
! [X19,X12,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22)) ),
file('<stdin>',fact_609_Int__insert__left__if1) ).
fof(c_0_240,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( X19 != bot_bo1055319631e_bool
=> ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ) ) ),
file('<stdin>',fact_557_folding__one_Ounion__disjoint) ).
fof(c_0_241,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( X19 != bot_bo1325454745l_bool
=> ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ) ) ),
file('<stdin>',fact_555_folding__one_Ounion__disjoint) ).
fof(c_0_242,axiom,
! [X12,X19] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X19) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X19),
file('<stdin>',fact_332_insert__def) ).
fof(c_0_243,axiom,
! [X12,X19] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X19) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X19),
file('<stdin>',fact_331_insert__def) ).
fof(c_0_244,axiom,
! [X12,X19] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X19),
file('<stdin>',fact_330_insert__def) ).
fof(c_0_245,axiom,
! [X12,X19] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X19),
file('<stdin>',fact_329_insert__def) ).
fof(c_0_246,axiom,
! [X9,X16] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))
=> ( X9 = bot_bo844097828e_bool
| X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool) ) ) ),
file('<stdin>',fact_51_subset__singletonD) ).
fof(c_0_247,axiom,
! [X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X9)))) ),
file('<stdin>',fact_11_finite__Collect__subsets) ).
fof(c_0_248,axiom,
! [X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X9)))) ),
file('<stdin>',fact_10_finite__Collect__subsets) ).
fof(c_0_249,axiom,
! [X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X9)))) ),
file('<stdin>',fact_9_finite__Collect__subsets) ).
fof(c_0_250,axiom,
! [X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X9)))) ),
file('<stdin>',fact_8_finite__Collect__subsets) ).
fof(c_0_251,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X17,X16)),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ),
file('<stdin>',fact_131_imageI) ).
fof(c_0_252,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X17,X16)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ),
file('<stdin>',fact_130_imageI) ).
fof(c_0_253,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool))) = X9 ) ),
file('<stdin>',fact_692_insert__Diff) ).
fof(c_0_254,axiom,
! [X9,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))
=> ( X9 = bot_bo1055319631e_bool
| X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool) ) ),
file('<stdin>',fact_52_subset__singletonD) ).
fof(c_0_255,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))) = X9 ),
file('<stdin>',fact_693_insert__Diff) ).
fof(c_0_256,axiom,
! [X12,X20,X15,X25] :
( ( is_pname(X12)
& is_pname(X20)
& is_pname(X15)
& is_pname(X25) )
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X25),bot_bo844097828e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ) ),
file('<stdin>',fact_145_doubleton__eq__iff) ).
fof(c_0_257,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X18)),
file('<stdin>',fact_630_inf__le2) ).
fof(c_0_258,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X18)),
file('<stdin>',fact_629_inf__le2) ).
fof(c_0_259,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X18)),
file('<stdin>',fact_628_inf__sup__ord_I2_J) ).
fof(c_0_260,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X18)),
file('<stdin>',fact_627_inf__sup__ord_I2_J) ).
fof(c_0_261,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X16)),
file('<stdin>',fact_626_inf__le1) ).
fof(c_0_262,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X16)),
file('<stdin>',fact_625_inf__le1) ).
fof(c_0_263,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X16)),
file('<stdin>',fact_624_inf__sup__ord_I1_J) ).
fof(c_0_264,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X16)),
file('<stdin>',fact_623_inf__sup__ord_I1_J) ).
fof(c_0_265,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X9)),
file('<stdin>',fact_608_Int__lower1) ).
fof(c_0_266,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X9)),
file('<stdin>',fact_607_Int__lower1) ).
fof(c_0_267,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X19)),
file('<stdin>',fact_606_Int__lower2) ).
fof(c_0_268,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X19)),
file('<stdin>',fact_605_Int__lower2) ).
fof(c_0_269,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
file('<stdin>',fact_654_sup__inf__distrib1) ).
fof(c_0_270,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23)),
file('<stdin>',fact_653_inf__sup__distrib1) ).
fof(c_0_271,axiom,
! [X12,X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),
file('<stdin>',fact_618_insert__inter__insert) ).
fof(c_0_272,axiom,
! [X12,X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),
file('<stdin>',fact_617_insert__inter__insert) ).
fof(c_0_273,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X22)),
file('<stdin>',fact_596_Int__Un__distrib) ).
fof(c_0_274,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X22)),
file('<stdin>',fact_595_Un__Int__distrib) ).
fof(c_0_275,axiom,
! [X19,X9] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ),
file('<stdin>',fact_224_subsetI) ).
fof(c_0_276,axiom,
! [X19,X9] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X19)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
file('<stdin>',fact_223_subsetI) ).
fof(c_0_277,axiom,
! [X19,X9,X17,X11] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( X19 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ) ) ),
file('<stdin>',fact_463_folding__one__idem_Ounion__idem) ).
fof(c_0_278,axiom,
! [X19,X9,X17,X11] :
( ( is_fun1661590463l_bool(X19)
& is_fun1661590463l_bool(X9) )
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( X19 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ) ) ),
file('<stdin>',fact_461_folding__one__idem_Ounion__idem) ).
fof(c_0_279,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)))
<=> X20 = X12 ) ),
file('<stdin>',fact_147_singleton__iff) ).
fof(c_0_280,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)))
=> X20 = X12 ) ),
file('<stdin>',fact_143_singletonE) ).
fof(c_0_281,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
file('<stdin>',fact_370_le__funD) ).
fof(c_0_282,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X16)),hAPP_pname_bool(X50,X16))) ),
file('<stdin>',fact_369_le__funD) ).
fof(c_0_283,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
file('<stdin>',fact_368_le__funE) ).
fof(c_0_284,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X16)),hAPP_pname_bool(X50,X16))) ),
file('<stdin>',fact_367_le__funE) ).
fof(c_0_285,axiom,
! [X19,X9,X17,X11] :
( is_fun_pname_bool(X19)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X19 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X19)),hAPP_f1297739591_pname(X11,X9)) = hAPP_f1297739591_pname(X11,X9) ) ) ) ) ),
file('<stdin>',fact_467_folding__one__idem_Osubset__idem) ).
fof(c_0_286,axiom,
! [X19,X9,X17,X11] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X19 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X19)),hAPP_f674760225e_bool(X11,X9)) = hAPP_f674760225e_bool(X11,X9) ) ) ) ) ),
file('<stdin>',fact_465_folding__one__idem_Osubset__idem) ).
fof(c_0_287,axiom,
! [X15,X20,X88] :
( ~ hBOOL(hAPP_state_bool(X20,X88))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X88),X88)) ),
file('<stdin>',fact_539_evalc_OWhileFalse) ).
fof(c_0_288,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X19 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X19)),hAPP_f2143211163_state(X11,X9)) = hAPP_f2143211163_state(X11,X9) ) ) ) ),
file('<stdin>',fact_468_folding__one__idem_Osubset__idem) ).
fof(c_0_289,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X19 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X19)),hAPP_f772567431e_bool(X11,X9)) = hAPP_f772567431e_bool(X11,X9) ) ) ) ),
file('<stdin>',fact_466_folding__one__idem_Osubset__idem) ).
fof(c_0_290,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(X14,X21))
=> hBOOL(hAPP_f1760790145l_bool(X13,X21)) )
=> hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13))) ),
file('<stdin>',fact_524_Collect__mono) ).
fof(c_0_291,axiom,
! [X13,X14] :
( ! [X21] :
( is_fun_pname_bool(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X21))
=> hBOOL(hAPP_f1664156314l_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13))) ),
file('<stdin>',fact_523_Collect__mono) ).
fof(c_0_292,axiom,
! [X13,X14] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13))) ),
file('<stdin>',fact_522_Collect__mono) ).
fof(c_0_293,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13))) ),
file('<stdin>',fact_521_Collect__mono) ).
fof(c_0_294,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( X19 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ) ),
file('<stdin>',fact_464_folding__one__idem_Ounion__idem) ).
fof(c_0_295,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( X19 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ) ),
file('<stdin>',fact_462_folding__one__idem_Ounion__idem) ).
fof(c_0_296,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20))) ),
file('<stdin>',fact_442_le__supI1) ).
fof(c_0_297,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20))) ),
file('<stdin>',fact_441_le__supI1) ).
fof(c_0_298,axiom,
! [X12,X16,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20))) ),
file('<stdin>',fact_440_le__supI2) ).
fof(c_0_299,axiom,
! [X12,X16,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20))) ),
file('<stdin>',fact_439_le__supI2) ).
fof(c_0_300,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
file('<stdin>',fact_282_UnI1) ).
fof(c_0_301,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
file('<stdin>',fact_281_UnI1) ).
fof(c_0_302,axiom,
! [X9,X15,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
file('<stdin>',fact_280_UnI2) ).
fof(c_0_303,axiom,
! [X9,X15,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
file('<stdin>',fact_279_UnI2) ).
fof(c_0_304,axiom,
! [X9,X15,X19] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
file('<stdin>',fact_271_UnCI) ).
fof(c_0_305,axiom,
! [X9,X15,X19] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9)) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
file('<stdin>',fact_270_UnCI) ).
fof(c_0_306,axiom,
! [X20,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
file('<stdin>',fact_182_subset__insertI2) ).
fof(c_0_307,axiom,
! [X20,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
file('<stdin>',fact_181_subset__insertI2) ).
fof(c_0_308,axiom,
! [X20,X12,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
file('<stdin>',fact_89_insertI2) ).
fof(c_0_309,axiom,
! [X20,X12,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
file('<stdin>',fact_88_insertI2) ).
fof(c_0_310,axiom,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
file('<stdin>',fact_57_insertCI) ).
fof(c_0_311,axiom,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
file('<stdin>',fact_56_insertCI) ).
fof(c_0_312,axiom,
! [X93,X94,X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X94),X86),X87))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X94),X86),X93))
=> X93 = X87 ) ),
file('<stdin>',fact_543_com__det) ).
fof(c_0_313,axiom,
! [X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)))
<=> X20 = X12 ),
file('<stdin>',fact_148_singleton__iff) ).
fof(c_0_314,axiom,
! [X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)))
=> X20 = X12 ),
file('<stdin>',fact_144_singletonE) ).
fof(c_0_315,axiom,
! [X19,X12,X9] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) ) ),
file('<stdin>',fact_622_Int__insert__right) ).
fof(c_0_316,axiom,
! [X19,X12,X9] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) ) ),
file('<stdin>',fact_621_Int__insert__right) ).
fof(c_0_317,axiom,
! [X19,X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)) ),
file('<stdin>',fact_612_Int__insert__right__if1) ).
fof(c_0_318,axiom,
! [X19,X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)) ),
file('<stdin>',fact_611_Int__insert__right__if1) ).
fof(c_0_319,axiom,
! [X12,X20,X15,X25] :
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X25),bot_bo1055319631e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ),
file('<stdin>',fact_146_doubleton__eq__iff) ).
fof(c_0_320,axiom,
! [X9,X19,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16))
=> ( ~ hBOOL(hAPP_H513860823e_bool(X9,X16))
=> hBOOL(hAPP_H513860823e_bool(X19,X16)) ) ),
file('<stdin>',fact_384_sup1E) ).
fof(c_0_321,axiom,
! [X16,X9] :
( is_fun_pname_bool(X9)
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X9 ) ),
file('<stdin>',fact_694_Diff__insert__absorb) ).
fof(c_0_322,axiom,
! [X16,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ~ ! [X41] :
( is_fun_pname_bool(X41)
=> ( X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X41)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X41)) ) ) ) ),
file('<stdin>',fact_529_Set_Oset__insert) ).
fof(c_0_323,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> ? [X41] :
( is_fun_pname_bool(X41)
& X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X41)
& ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X41)) ) ) ),
file('<stdin>',fact_527_mk__disjoint__insert) ).
fof(c_0_324,axiom,
! [X16,X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> ( X9 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) ) ) ) ) ),
file('<stdin>',fact_511_folding__one_Oinsert) ).
fof(c_0_325,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( X9 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) ) ) ) ) ),
file('<stdin>',fact_509_folding__one_Oinsert) ).
fof(c_0_326,axiom,
! [X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X9 ),
file('<stdin>',fact_695_Diff__insert__absorb) ).
fof(c_0_327,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ~ ! [X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X41)
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X41)) ) ),
file('<stdin>',fact_530_Set_Oset__insert) ).
fof(c_0_328,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> ? [X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X41)
& ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X41)) ) ),
file('<stdin>',fact_528_mk__disjoint__insert) ).
fof(c_0_329,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> ( X9 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) ) ) ) ),
file('<stdin>',fact_512_folding__one_Oinsert) ).
fof(c_0_330,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( X9 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) ) ) ) ),
file('<stdin>',fact_510_folding__one_Oinsert) ).
fof(c_0_331,axiom,
! [X18,X9,X16] :
( ( is_pname(X18)
& is_pname(X16) )
=> ( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_pname_bool(X9,X16)) ) ) ),
file('<stdin>',fact_92_insert__code) ).
fof(c_0_332,axiom,
! [X14,X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X14)),X13)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13)),
file('<stdin>',fact_585_Collect__conj__eq) ).
fof(c_0_333,axiom,
! [X14,X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X14)),X13)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13)),
file('<stdin>',fact_584_Collect__conj__eq) ).
fof(c_0_334,axiom,
! [X14,X13] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X14)),X13)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13)),
file('<stdin>',fact_583_Collect__conj__eq) ).
fof(c_0_335,axiom,
! [X14,X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X14)),X13)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13)),
file('<stdin>',fact_582_Collect__conj__eq) ).
fof(c_0_336,axiom,
! [X14,X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X14)),X13)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13)),
file('<stdin>',fact_277_Collect__disj__eq) ).
fof(c_0_337,axiom,
! [X14,X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X14)),X13)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13)),
file('<stdin>',fact_276_Collect__disj__eq) ).
fof(c_0_338,axiom,
! [X14,X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X14)),X13)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13)),
file('<stdin>',fact_275_Collect__disj__eq) ).
fof(c_0_339,axiom,
! [X14,X13] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X14)),X13)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13)),
file('<stdin>',fact_274_Collect__disj__eq) ).
fof(c_0_340,axiom,
! [X9,X19] :
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> ! [X24] :
( is_pname(X24)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X19))
=> X21 != X24 ) ) ) ) ),
file('<stdin>',fact_566_disjoint__iff__not__equal) ).
fof(c_0_341,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X23))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23)) ) ),
file('<stdin>',fact_341_order__trans) ).
fof(c_0_342,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X23))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23)) ) ),
file('<stdin>',fact_340_order__trans) ).
fof(c_0_343,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X18))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X16)) ) ),
file('<stdin>',fact_337_xt1_I6_J) ).
fof(c_0_344,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X18))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X16)) ) ),
file('<stdin>',fact_336_xt1_I6_J) ).
fof(c_0_345,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
file('<stdin>',fact_119_in__mono) ).
fof(c_0_346,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
file('<stdin>',fact_118_in__mono) ).
fof(c_0_347,axiom,
! [X19,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
file('<stdin>',fact_117_set__rev__mp) ).
fof(c_0_348,axiom,
! [X19,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
file('<stdin>',fact_116_set__rev__mp) ).
fof(c_0_349,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
file('<stdin>',fact_115_set__mp) ).
fof(c_0_350,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
file('<stdin>',fact_114_set__mp) ).
fof(c_0_351,axiom,
! [X22,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X22))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22)) ) ),
file('<stdin>',fact_113_subset__trans) ).
fof(c_0_352,axiom,
! [X22,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22)) ) ),
file('<stdin>',fact_112_subset__trans) ).
fof(c_0_353,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
file('<stdin>',fact_63_subsetD) ).
fof(c_0_354,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
file('<stdin>',fact_62_subsetD) ).
fof(c_0_355,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
file('<stdin>',fact_50_finite__surj) ).
fof(c_0_356,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('<stdin>',fact_49_finite__surj) ).
fof(c_0_357,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('<stdin>',fact_48_finite__surj) ).
fof(c_0_358,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
file('<stdin>',fact_47_finite__surj) ).
fof(c_0_359,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
file('<stdin>',fact_46_finite__surj) ).
fof(c_0_360,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('<stdin>',fact_45_finite__surj) ).
fof(c_0_361,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19)) ) ),
file('<stdin>',fact_44_finite__surj) ).
fof(c_0_362,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
file('<stdin>',fact_43_finite__surj) ).
fof(c_0_363,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('<stdin>',fact_42_finite__surj) ).
fof(c_0_364,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19)) ) ),
file('<stdin>',fact_41_finite__surj) ).
fof(c_0_365,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
file('<stdin>',fact_40_finite__surj) ).
fof(c_0_366,axiom,
! [X18,X9,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_H513860823e_bool(X9,X16)) ) ),
file('<stdin>',fact_93_insert__code) ).
fof(c_0_367,axiom,
! [X9,X19] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = bot_bo1055319631e_bool
<=> ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> ! [X24] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X19))
=> X21 != X24 ) ) ),
file('<stdin>',fact_567_disjoint__iff__not__equal) ).
fof(c_0_368,axiom,
! [X20,X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( X20 = hAPP_p1842370726_state(X17,X16)
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ) ),
file('<stdin>',fact_129_rev__image__eqI) ).
fof(c_0_369,axiom,
! [X20,X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( X20 = hAPP_H1344248906_pname(X17,X16)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ) ),
file('<stdin>',fact_128_rev__image__eqI) ).
fof(c_0_370,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_p1842370726_state(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ) ),
file('<stdin>',fact_65_image__eqI) ).
fof(c_0_371,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_H1344248906_pname(X17,X16)
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ) ),
file('<stdin>',fact_64_image__eqI) ).
fof(c_0_372,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ) ),
file('<stdin>',fact_309_finite__Un) ).
fof(c_0_373,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ) ),
file('<stdin>',fact_308_finite__Un) ).
fof(c_0_374,axiom,
! [X11,X3] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X11),X3)))
<=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ) ),
file('<stdin>',fact_307_finite__Un) ).
fof(c_0_375,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ) ),
file('<stdin>',fact_306_finite__Un) ).
fof(c_0_376,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9)))
<=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ),
file('<stdin>',fact_156_finite__insert) ).
fof(c_0_377,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9)))
<=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ),
file('<stdin>',fact_155_finite__insert) ).
fof(c_0_378,axiom,
! [X12,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X9)))
<=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ),
file('<stdin>',fact_154_finite__insert) ).
fof(c_0_379,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X9)))
<=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ),
file('<stdin>',fact_153_finite__insert) ).
fof(c_0_380,axiom,
! [X19,X12,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22) ),
file('<stdin>',fact_614_Int__insert__left__if0) ).
fof(c_0_381,axiom,
! [X19,X12,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22) ),
file('<stdin>',fact_613_Int__insert__left__if0) ).
fof(c_0_382,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) = hAPP_f772567431e_bool(X11,X9) ) ) ),
file('<stdin>',fact_484_folding__one__idem_Oin__idem) ).
fof(c_0_383,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) = hAPP_f674760225e_bool(X11,X9) ) ) ),
file('<stdin>',fact_483_folding__one__idem_Oin__idem) ).
fof(c_0_384,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) = hAPP_f2143211163_state(X11,X9) ) ) ),
file('<stdin>',fact_482_folding__one__idem_Oin__idem) ).
fof(c_0_385,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) = hAPP_f1297739591_pname(X11,X9) ) ) ),
file('<stdin>',fact_481_folding__one__idem_Oin__idem) ).
fof(c_0_386,axiom,
! [X12,X20,X15] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X15) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X15)),
file('<stdin>',fact_415_sup_Oassoc) ).
fof(c_0_387,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),
file('<stdin>',fact_414_inf__sup__aci_I6_J) ).
fof(c_0_388,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),
file('<stdin>',fact_413_sup__assoc) ).
fof(c_0_389,axiom,
! [X12,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),
file('<stdin>',fact_311_Un__insert__left) ).
fof(c_0_390,axiom,
! [X12,X19,X22] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X22)),
file('<stdin>',fact_310_Un__insert__left) ).
fof(c_0_391,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),
file('<stdin>',fact_285_Un__assoc) ).
fof(c_0_392,axiom,
! [X19,X16,X9] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X19)
<=> X9 = X19 ) ) ) ),
file('<stdin>',fact_90_insert__ident) ).
fof(c_0_393,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9),
file('<stdin>',fact_697_insert__Diff__single) ).
fof(c_0_394,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9),
file('<stdin>',fact_696_insert__Diff__single) ).
fof(c_0_395,axiom,
! [X66] : hAPP_f2143211163_state(the_el23965208_state,X66) = hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X66)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))),
file('<stdin>',fact_492_the__elem__def) ).
fof(c_0_396,axiom,
! [X66] : hAPP_f1297739591_pname(the_elem_pname,X66) = hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X66)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))),
file('<stdin>',fact_491_the__elem__def) ).
fof(c_0_397,axiom,
! [X43,X44,X45,X46,X47,X48] :
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X43),X44),X45) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X46),X47),X48)
<=> ( X43 = X46
& X44 = X47
& X45 = X48 ) ),
file('<stdin>',fact_278_triple_Oinject) ).
fof(c_0_398,axiom,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19))
=> ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X19)
<=> X9 = X19 ) ) ),
file('<stdin>',fact_91_insert__ident) ).
fof(c_0_399,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X17,X16)),hAPP_f631639356e_bool(image_275883510_state(X17),X9)) = hAPP_f631639356e_bool(image_275883510_state(X17),X9) ),
file('<stdin>',fact_190_insert__image) ).
fof(c_0_400,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X17,X16)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)) = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9) ),
file('<stdin>',fact_189_insert__image) ).
fof(c_0_401,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X11),X3))) ) ),
file('<stdin>',fact_305_finite__UnI) ).
fof(c_0_402,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X11),X3))) ) ),
file('<stdin>',fact_304_finite__UnI) ).
fof(c_0_403,axiom,
! [X3,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X11),X3))) ) ),
file('<stdin>',fact_303_finite__UnI) ).
fof(c_0_404,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X11),X3))) ) ),
file('<stdin>',fact_302_finite__UnI) ).
fof(c_0_405,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( X16 = X18
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16)) ) ) ),
file('<stdin>',fact_356_order__eq__iff) ).
fof(c_0_406,axiom,
! [X18,X16] :
( ( is_fun_pname_bool(X18)
& is_fun_pname_bool(X16) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> X16 = X18 ) ) ),
file('<stdin>',fact_352_order__antisym__conv) ).
fof(c_0_407,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> X16 = X18 ) ) ),
file('<stdin>',fact_342_order__antisym) ).
fof(c_0_408,axiom,
! [X18,X16] :
( ( is_fun_pname_bool(X18)
& is_fun_pname_bool(X16) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> X16 = X18 ) ) ),
file('<stdin>',fact_338_xt1_I5_J) ).
fof(c_0_409,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( X9 = X19
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ) ),
file('<stdin>',fact_124_set__eq__subset) ).
fof(c_0_410,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> X9 = X19 ) ) ),
file('<stdin>',fact_60_equalityI) ).
fof(c_0_411,axiom,
! [X16,X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) ) ) ) ),
file('<stdin>',fact_472_folding__one__idem_Oinsert__idem) ).
fof(c_0_412,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) ) ) ) ),
file('<stdin>',fact_470_folding__one__idem_Oinsert__idem) ).
fof(c_0_413,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) ) ) ),
file('<stdin>',fact_473_folding__one__idem_Oinsert__idem) ).
fof(c_0_414,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) ) ) ),
file('<stdin>',fact_471_folding__one__idem_Oinsert__idem) ).
fof(c_0_415,axiom,
! [X17,X9,X19] : hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)),
file('<stdin>',fact_328_image__Un) ).
fof(c_0_416,axiom,
! [X16,X18] :
( X16 = X18
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16)) ) ),
file('<stdin>',fact_357_order__eq__iff) ).
fof(c_0_417,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> X16 = X18 ) ),
file('<stdin>',fact_353_order__antisym__conv) ).
fof(c_0_418,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> X16 = X18 ) ),
file('<stdin>',fact_343_order__antisym) ).
fof(c_0_419,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> X16 = X18 ) ),
file('<stdin>',fact_339_xt1_I5_J) ).
fof(c_0_420,axiom,
! [X9,X19] :
( X9 = X19
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ) ),
file('<stdin>',fact_125_set__eq__subset) ).
fof(c_0_421,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> X9 = X19 ) ),
file('<stdin>',fact_61_equalityI) ).
fof(c_0_422,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X6),X3))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('<stdin>',fact_3_thin) ).
fof(c_0_423,axiom,
! [X4,X3,X5] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X5))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X5))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('<stdin>',fact_2_weaken) ).
fof(c_0_424,axiom,
! [X19,X12,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) ),
file('<stdin>',fact_616_Int__insert__right__if0) ).
fof(c_0_425,axiom,
! [X19,X12,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) ),
file('<stdin>',fact_615_Int__insert__right__if0) ).
fof(c_0_426,axiom,
! [X19,X9,X16] :
( hBOOL(hAPP_H513860823e_bool(X9,X16))
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
file('<stdin>',fact_394_sup1I1) ).
fof(c_0_427,axiom,
! [X9,X19,X16] :
( hBOOL(hAPP_H513860823e_bool(X19,X16))
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
file('<stdin>',fact_393_sup1I2) ).
fof(c_0_428,axiom,
! [X9,X19,X16] :
( ( ~ hBOOL(hAPP_H513860823e_bool(X19,X16))
=> hBOOL(hAPP_H513860823e_bool(X9,X16)) )
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
file('<stdin>',fact_385_sup1CI) ).
fof(c_0_429,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
file('<stdin>',fact_454_inf__sup__ord_I3_J) ).
fof(c_0_430,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
file('<stdin>',fact_453_inf__sup__ord_I3_J) ).
fof(c_0_431,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
file('<stdin>',fact_452_sup__ge1) ).
fof(c_0_432,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
file('<stdin>',fact_451_sup__ge1) ).
fof(c_0_433,axiom,
! [X18,X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
file('<stdin>',fact_450_inf__sup__ord_I4_J) ).
fof(c_0_434,axiom,
! [X18,X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
file('<stdin>',fact_449_inf__sup__ord_I4_J) ).
fof(c_0_435,axiom,
! [X18,X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
file('<stdin>',fact_448_sup__ge2) ).
fof(c_0_436,axiom,
! [X18,X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
file('<stdin>',fact_447_sup__ge2) ).
fof(c_0_437,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),
file('<stdin>',fact_327_Un__upper1) ).
fof(c_0_438,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),
file('<stdin>',fact_326_Un__upper1) ).
fof(c_0_439,axiom,
! [X19,X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),
file('<stdin>',fact_325_Un__upper2) ).
fof(c_0_440,axiom,
! [X19,X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),
file('<stdin>',fact_324_Un__upper2) ).
fof(c_0_441,axiom,
! [X19,X12] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19))),
file('<stdin>',fact_188_subset__insertI) ).
fof(c_0_442,axiom,
! [X19,X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19))),
file('<stdin>',fact_187_subset__insertI) ).
fof(c_0_443,axiom,
! [X12,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19))),
file('<stdin>',fact_109_insertI1) ).
fof(c_0_444,axiom,
! [X12,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19))),
file('<stdin>',fact_108_insertI1) ).
fof(c_0_445,axiom,
! [X17,X12,X19] : hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X17,X12)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)),
file('<stdin>',fact_192_image__insert) ).
fof(c_0_446,axiom,
! [X17,X12,X19] : hAPP_f1745235422e_bool(image_1925245338_pname(X17),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X17,X12)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X19)),
file('<stdin>',fact_191_image__insert) ).
fof(c_0_447,axiom,
! [X20,X12,X15] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X15)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X15)),
file('<stdin>',fact_418_sup_Oleft__commute) ).
fof(c_0_448,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
file('<stdin>',fact_417_inf__sup__aci_I7_J) ).
fof(c_0_449,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
file('<stdin>',fact_416_sup__left__commute) ).
fof(c_0_450,axiom,
! [X9,X12,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),
file('<stdin>',fact_313_Un__insert__right) ).
fof(c_0_451,axiom,
! [X9,X12,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),
file('<stdin>',fact_312_Un__insert__right) ).
fof(c_0_452,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X22)),
file('<stdin>',fact_288_Un__left__commute) ).
fof(c_0_453,axiom,
! [X16,X18,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X9)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),
file('<stdin>',fact_97_insert__commute) ).
fof(c_0_454,axiom,
! [X16,X18,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X9)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),
file('<stdin>',fact_96_insert__commute) ).
fof(c_0_455,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19))) ),
file('<stdin>',fact_691_finite__Diff) ).
fof(c_0_456,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19))) ),
file('<stdin>',fact_690_finite__Diff) ).
fof(c_0_457,axiom,
! [X19,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),X19))) ),
file('<stdin>',fact_689_finite__Diff) ).
fof(c_0_458,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),X19))) ),
file('<stdin>',fact_688_finite__Diff) ).
fof(c_0_459,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) )
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X11),X3))) ),
file('<stdin>',fact_565_finite__Int) ).
fof(c_0_460,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) )
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X11),X3))) ),
file('<stdin>',fact_564_finite__Int) ).
fof(c_0_461,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) )
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X11),X3))) ),
file('<stdin>',fact_563_finite__Int) ).
fof(c_0_462,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) )
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X11),X3))) ),
file('<stdin>',fact_562_finite__Int) ).
fof(c_0_463,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9))) ),
file('<stdin>',fact_26_finite_OinsertI) ).
fof(c_0_464,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9))) ),
file('<stdin>',fact_25_finite_OinsertI) ).
fof(c_0_465,axiom,
! [X12,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X9))) ),
file('<stdin>',fact_24_finite_OinsertI) ).
fof(c_0_466,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X9))) ),
file('<stdin>',fact_23_finite_OinsertI) ).
fof(c_0_467,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)),X9),
file('<stdin>',fact_334_insert__is__Un) ).
fof(c_0_468,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)),X9),
file('<stdin>',fact_333_insert__is__Un) ).
fof(c_0_469,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13)) ),
file('<stdin>',fact_526_predicate1I) ).
fof(c_0_470,axiom,
! [X13,X14] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13)) ),
file('<stdin>',fact_525_predicate1I) ).
fof(c_0_471,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X15))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15)) ) ),
file('<stdin>',fact_351_ord__eq__le__trans) ).
fof(c_0_472,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X15))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15)) ) ),
file('<stdin>',fact_350_ord__eq__le__trans) ).
fof(c_0_473,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X12)) ) ),
file('<stdin>',fact_349_xt1_I3_J) ).
fof(c_0_474,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X12)) ) ),
file('<stdin>',fact_348_xt1_I3_J) ).
fof(c_0_475,axiom,
! [X15,X12,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X20))
=> ( X20 = X15
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15)) ) ),
file('<stdin>',fact_347_ord__le__eq__trans) ).
fof(c_0_476,axiom,
! [X15,X12,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X20))
=> ( X20 = X15
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15)) ) ),
file('<stdin>',fact_346_ord__le__eq__trans) ).
fof(c_0_477,axiom,
! [X15,X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X12))
=> ( X20 = X15
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X12)) ) ),
file('<stdin>',fact_345_xt1_I4_J) ).
fof(c_0_478,axiom,
! [X15,X20,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X12))
=> ( X20 = X15
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X12)) ) ),
file('<stdin>',fact_344_xt1_I4_J) ).
fof(c_0_479,axiom,
! [X16,X14,X13] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13))
=> ( hBOOL(hAPP_H513860823e_bool(X14,X16))
=> hBOOL(hAPP_H513860823e_bool(X13,X16)) ) ),
file('<stdin>',fact_392_predicate1D) ).
fof(c_0_480,axiom,
! [X16,X14,X13] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13))
=> ( hBOOL(hAPP_pname_bool(X14,X16))
=> hBOOL(hAPP_pname_bool(X13,X16)) ) ),
file('<stdin>',fact_391_predicate1D) ).
fof(c_0_481,axiom,
! [X13,X14,X16] :
( hBOOL(hAPP_H513860823e_bool(X14,X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13))
=> hBOOL(hAPP_H513860823e_bool(X13,X16)) ) ),
file('<stdin>',fact_390_rev__predicate1D) ).
fof(c_0_482,axiom,
! [X13,X14,X16] :
( hBOOL(hAPP_pname_bool(X14,X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13))
=> hBOOL(hAPP_pname_bool(X13,X16)) ) ),
file('<stdin>',fact_389_rev__predicate1D) ).
fof(c_0_483,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
file('<stdin>',fact_172_rev__finite__subset) ).
fof(c_0_484,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ) ),
file('<stdin>',fact_171_rev__finite__subset) ).
fof(c_0_485,axiom,
! [X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ) ),
file('<stdin>',fact_170_rev__finite__subset) ).
fof(c_0_486,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
file('<stdin>',fact_169_rev__finite__subset) ).
fof(c_0_487,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
file('<stdin>',fact_168_finite__subset) ).
fof(c_0_488,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ) ),
file('<stdin>',fact_167_finite__subset) ).
fof(c_0_489,axiom,
! [X9,X19] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ) ),
file('<stdin>',fact_166_finite__subset) ).
fof(c_0_490,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
file('<stdin>',fact_165_finite__subset) ).
fof(c_0_491,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),bot_bo1055319631e_bool) ),
file('<stdin>',fact_38_image__constant) ).
fof(c_0_492,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),bot_bo844097828e_bool) ),
file('<stdin>',fact_37_image__constant) ).
fof(c_0_493,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( X9 != bot_bo844097828e_bool
<=> ? [X21,X41] :
( is_pname(X21)
& is_fun_pname_bool(X41)
& X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X41)
& ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X41)) ) ) ),
file('<stdin>',fact_266_nonempty__iff) ).
fof(c_0_494,axiom,
! [X12,X28] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28)))
=> ? [X40] : hAPP_p799580910on_com(X28,X12) = some_com(X40) ),
file('<stdin>',fact_259_domD) ).
fof(c_0_495,axiom,
! [X9] :
( X9 != bot_bo1055319631e_bool
<=> ? [X21,X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X41)
& ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X41)) ) ),
file('<stdin>',fact_267_nonempty__iff) ).
fof(c_0_496,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X6))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('<stdin>',fact_4_cut) ).
fof(c_0_497,axiom,
! [X67,X77] :
( hBOOL(hAPP_com_bool(wt,X77))
=> ( hBOOL(hAPP_com_bool(wt,X67))
=> hBOOL(hAPP_com_bool(wt,semi(X77,X67))) ) ),
file('<stdin>',fact_506_WT_OSemi) ).
fof(c_0_498,axiom,
! [X18,X16] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X18 ) ),
file('<stdin>',fact_641_inf__absorb2) ).
fof(c_0_499,axiom,
! [X16,X18] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X16 ) ),
file('<stdin>',fact_639_inf__absorb1) ).
fof(c_0_500,axiom,
! [X16,X18] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X16 ) ),
file('<stdin>',fact_631_le__iff__inf) ).
fof(c_0_501,axiom,
! [X9,X19] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = X9 ) ),
file('<stdin>',fact_603_Int__absorb2) ).
fof(c_0_502,axiom,
! [X19,X9] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = X19 ) ),
file('<stdin>',fact_601_Int__absorb1) ).
fof(c_0_503,axiom,
! [X16,X18] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X18 ) ),
file('<stdin>',fact_445_le__iff__sup) ).
fof(c_0_504,axiom,
! [X16,X18] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X18 ) ),
file('<stdin>',fact_437_sup__absorb2) ).
fof(c_0_505,axiom,
! [X18,X16] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X16 ) ),
file('<stdin>',fact_435_sup__absorb1) ).
fof(c_0_506,axiom,
! [X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X19 ) ),
file('<stdin>',fact_322_subset__Un__eq) ).
fof(c_0_507,axiom,
! [X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X19 ) ),
file('<stdin>',fact_320_Un__absorb1) ).
fof(c_0_508,axiom,
! [X19,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X9 ) ),
file('<stdin>',fact_318_Un__absorb2) ).
fof(c_0_509,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) = X9 ) ),
file('<stdin>',fact_86_insert__absorb) ).
fof(c_0_510,axiom,
! [X4,X3] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ),
file('<stdin>',fact_1_asm) ).
fof(c_0_511,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X18 ),
file('<stdin>',fact_642_inf__absorb2) ).
fof(c_0_512,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X16 ),
file('<stdin>',fact_640_inf__absorb1) ).
fof(c_0_513,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X16 ),
file('<stdin>',fact_632_le__iff__inf) ).
fof(c_0_514,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = X9 ),
file('<stdin>',fact_604_Int__absorb2) ).
fof(c_0_515,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = X19 ),
file('<stdin>',fact_602_Int__absorb1) ).
fof(c_0_516,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X18 ),
file('<stdin>',fact_446_le__iff__sup) ).
fof(c_0_517,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X18 ),
file('<stdin>',fact_438_sup__absorb2) ).
fof(c_0_518,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X16 ),
file('<stdin>',fact_436_sup__absorb1) ).
fof(c_0_519,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X19 ),
file('<stdin>',fact_323_subset__Un__eq) ).
fof(c_0_520,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X19 ),
file('<stdin>',fact_321_Un__absorb1) ).
fof(c_0_521,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X9 ),
file('<stdin>',fact_319_Un__absorb2) ).
fof(c_0_522,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) = X9 ),
file('<stdin>',fact_87_insert__absorb) ).
fof(c_0_523,axiom,
! [X67,X68] :
( hBOOL(hAPP_com_bool(wt,semi(X67,X68)))
=> ~ ( hBOOL(hAPP_com_bool(wt,X67))
=> ~ hBOOL(hAPP_com_bool(wt,X68)) ) ),
file('<stdin>',fact_494_WTs__elim__cases_I4_J) ).
fof(c_0_524,axiom,
! [X20,X15] :
( hBOOL(hAPP_com_bool(wt,while(X20,X15)))
=> hBOOL(hAPP_com_bool(wt,X15)) ),
file('<stdin>',fact_493_WTs__elim__cases_I6_J) ).
fof(c_0_525,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))
<=> ( X12 = bot_bo844097828e_bool
| ? [X36,X31] :
( is_fun_pname_bool(X36)
& is_pname(X31)
& X12 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X31),X36)
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X36)) ) ) ) ),
file('<stdin>',fact_243_finite_Osimps) ).
fof(c_0_526,axiom,
! [X12] :
( is_fun1661590463l_bool(X12)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))
<=> ( X12 = bot_bo1649642514l_bool
| ? [X36,X31] :
( is_fun1661590463l_bool(X36)
& is_fun_pname_bool(X31)
& X12 = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X31),X36)
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X36)) ) ) ) ),
file('<stdin>',fact_241_finite_Osimps) ).
fof(c_0_527,axiom,
! [X33,X97,X100] : hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X33),X97),X100) = hAPP_H521649881_state(hAPP_p964374716_state(X33,X100),hAPP_p1842370726_state(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg__030) ).
fof(c_0_528,axiom,
! [X33,X97,X100] : hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X33),X97),X100) = hAPP_c408625258_state(hAPP_p2032835427_state(X33,X100),hAPP_pname_com(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Com__Ocom_000tc__fun_Itc__fun_Itc) ).
fof(c_0_529,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X33),X97),X100) = hAPP_f588507005_state(hAPP_p1712839024_state(X33,X100),hAPP_p1637813682e_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc) ).
fof(c_0_530,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X33),X97),X100) = hAPP_H563960305_state(hAPP_p80247908_state(X33,X100),hAPP_p1842370726_state(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_) ).
fof(c_0_531,axiom,
! [X33,X97,X100] : hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X33),X97),X100) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X33,X100),hAPP_p799580910on_com(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_J__019) ).
fof(c_0_532,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_f1508101115l_bool(X33,X100),hAPP_f1760790145l_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I) ).
fof(c_0_533,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_H226398757l_bool(X33,X100),hAPP_H513860823e_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__) ).
fof(c_0_534,axiom,
! [X33,X97,X100] : hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X33),X97),X100) = hAPP_o356497025on_com(hAPP_p1086945780on_com(X33,X100),hAPP_p799580910on_com(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_J_) ).
fof(c_0_535,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_f1476298914l_bool(X33,X100),hAPP_f1664156314l_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O) ).
fof(c_0_536,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_s58564346l_bool(X33,X100),hAPP_state_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(c_0_537,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_p393069232l_bool(X33,X100),hAPP_pname_bool(X97,X100)),
file('<stdin>',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(c_0_538,axiom,
! [X16,X62] :
( is_option_pname(X62)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),set_pname(X62)))
<=> X62 = some_pname(X16) ) ),
file('<stdin>',fact_405_elem__set) ).
fof(c_0_539,axiom,
! [X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X86),X87))
=> X87 = X86 ),
file('<stdin>',fact_538_evalc__elim__cases_I1_J) ).
fof(c_0_540,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
<=> hBOOL(hAPP_H513860823e_bool(X9,X16)) ),
file('<stdin>',fact_176_mem__def) ).
fof(c_0_541,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
<=> hBOOL(hAPP_pname_bool(X9,X16)) ),
file('<stdin>',fact_175_mem__def) ).
fof(c_0_542,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X10),X11))) ),
file('<stdin>',fact_20_finite__imageI) ).
fof(c_0_543,axiom,
! [X10,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X10),X11))) ),
file('<stdin>',fact_19_finite__imageI) ).
fof(c_0_544,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X10),X11))) ),
file('<stdin>',fact_18_finite__imageI) ).
fof(c_0_545,axiom,
! [X10,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X10),X11))) ),
file('<stdin>',fact_17_finite__imageI) ).
fof(c_0_546,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X10),X11))) ),
file('<stdin>',fact_16_finite__imageI) ).
fof(c_0_547,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X10),X11))) ),
file('<stdin>',fact_15_finite__imageI) ).
fof(c_0_548,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X10),X11))) ),
file('<stdin>',fact_14_finite__imageI) ).
fof(c_0_549,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X10),X11))) ),
file('<stdin>',fact_13_finite__imageI) ).
fof(c_0_550,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X10),X11))) ),
file('<stdin>',fact_12_finite__imageI) ).
fof(c_0_551,axiom,
! [X12,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20),
file('<stdin>',fact_421_sup_Oleft__idem) ).
fof(c_0_552,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18),
file('<stdin>',fact_420_inf__sup__aci_I8_J) ).
fof(c_0_553,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18),
file('<stdin>',fact_419_sup__left__idem) ).
fof(c_0_554,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),
file('<stdin>',fact_289_Un__left__absorb) ).
fof(c_0_555,axiom,
! [X16,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9),
file('<stdin>',fact_99_insert__absorb2) ).
fof(c_0_556,axiom,
! [X16,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9),
file('<stdin>',fact_98_insert__absorb2) ).
fof(c_0_557,axiom,
! [X16,X62] :
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X16),set_com(X62)))
<=> X62 = some_com(X16) ),
file('<stdin>',fact_407_elem__set) ).
fof(c_0_558,axiom,
! [X16,X62] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),set_Ho1831989999_state(X62)))
<=> X62 = some_H1133819688_state(X16) ),
file('<stdin>',fact_406_elem__set) ).
fof(c_0_559,axiom,
! [X21] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),bot_bo1055319631e_bool)) ),
file('<stdin>',fact_388_bot__empty__eq) ).
fof(c_0_560,axiom,
! [X21] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),bot_bo844097828e_bool)) ),
file('<stdin>',fact_387_bot__empty__eq) ).
fof(c_0_561,axiom,
! [X16,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X16 ) ),
file('<stdin>',fact_513_folding__one_Osingleton) ).
fof(c_0_562,axiom,
! [X33] :
( hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X33)))
=> ~ ! [X34] : hAPP_p799580910on_com(body,X33) != some_com(X34) ),
file('<stdin>',fact_222_WTs__elim__cases_I7_J) ).
fof(c_0_563,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
<=> X9 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_80_all__not__in__conv) ).
fof(c_0_564,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
<=> X9 != bot_bo844097828e_bool ) ),
file('<stdin>',fact_78_ex__in__conv) ).
fof(c_0_565,axiom,
! [X98,X99] :
( ( is_fun_pname_bool(X98)
& is_fun_pname_bool(X99) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X98),X99))
| X98 = X99 ) ),
file('<stdin>',help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).
fof(c_0_566,axiom,
! [X98,X99] :
( ( is_pname(X98)
& is_pname(X99) )
=> ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X98),X99))
| X98 = X99 ) ),
file('<stdin>',help_fequal_1_1_fequal_000tc__Com__Opname_T) ).
fof(c_0_567,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(c_0_568,axiom,
! [X16,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X16 ),
file('<stdin>',fact_514_folding__one_Osingleton) ).
fof(c_0_569,axiom,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97))
| ~ hBOOL(X33)
| hBOOL(X97) ),
file('<stdin>',help_fimplies_3_1_U) ).
fof(c_0_570,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X12))
<=> ( X12 = bot_bo1055319631e_bool
| ? [X36,X31] :
( X12 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),X36)
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X36)) ) ) ),
file('<stdin>',fact_244_finite_Osimps) ).
fof(c_0_571,axiom,
! [X12] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X12))
<=> ( X12 = bot_bo1325454745l_bool
| ? [X36,X31] :
( X12 = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X31),X36)
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X36)) ) ) ),
file('<stdin>',fact_242_finite_Osimps) ).
fof(c_0_572,axiom,
! [X18] :
~ ! [X80,X81,X82] : X18 != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X80),X81),X82),
file('<stdin>',fact_519_triple_Oexhaust) ).
fof(c_0_573,axiom,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97))
| hBOOL(X33)
| hBOOL(X97) ),
file('<stdin>',help_fdisj_3_1_U) ).
fof(c_0_574,axiom,
! [X12,X20] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),bot_bo844097828e_bool)
=> X12 = X20 ) ),
file('<stdin>',fact_141_singleton__inject) ).
fof(c_0_575,axiom,
! [X33,X97,X100] : hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X33),X97),X100) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__) ).
fof(c_0_576,axiom,
! [X33,X97,X100] : hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X33),X97),X100) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___034) ).
fof(c_0_577,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X33),X97),X100) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_031) ).
fof(c_0_578,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_027) ).
fof(c_0_579,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_024) ).
fof(c_0_580,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___023) ).
fof(c_0_581,axiom,
! [X33,X97,X100] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X33),X97),X100) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(c_0_582,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___020) ).
fof(c_0_583,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X33),X97),X100) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_017) ).
fof(c_0_584,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_f1745235422e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I) ).
fof(c_0_585,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_) ).
fof(c_0_586,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___015) ).
fof(c_0_587,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____dd) ).
fof(c_0_588,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X33),X97),X100) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Ob) ).
fof(c_0_589,axiom,
! [X33,X97,X100] : hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X33),X97),X100) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_013) ).
fof(c_0_590,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It) ).
fof(c_0_591,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_H1632039476e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__) ).
fof(c_0_592,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_) ).
fof(c_0_593,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_f759274231e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O) ).
fof(c_0_594,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X33),X97),X100) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__fun_Itc__Com__O) ).
fof(c_0_595,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).
fof(c_0_596,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X33),X97),X100) = hAPP_state_bool(hAPP_s1806633685e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__Com__Ostate_000tc__HOL__Obool_U) ).
fof(c_0_597,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_p61793385e_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U) ).
fof(c_0_598,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_s58564346l_bool(X33,X100),X97),
file('<stdin>',help_COMBC_1_1_COMBC_000tc__Com__Ostate_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(c_0_599,axiom,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97))
| hBOOL(X97) ),
file('<stdin>',help_fconj_3_1_U) ).
fof(c_0_600,axiom,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97))
| hBOOL(X33) ),
file('<stdin>',help_fconj_2_1_U) ).
fof(c_0_601,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),bot_bo844097828e_bool))
<=> X12 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_363_bot__unique) ).
fof(c_0_602,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),bot_bo844097828e_bool))
=> X12 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_361_le__bot) ).
fof(c_0_603,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),bot_bo844097828e_bool))
<=> X9 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_157_subset__empty) ).
fof(c_0_604,axiom,
! [X20,X15] :
( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_com_bool(wt,while(X20,X15))) ),
file('<stdin>',fact_501_While) ).
fof(c_0_605,axiom,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
<=> X9 = bot_bo1055319631e_bool ),
file('<stdin>',fact_81_all__not__in__conv) ).
fof(c_0_606,axiom,
! [X9] :
( ? [X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
<=> X9 != bot_bo1055319631e_bool ),
file('<stdin>',fact_79_ex__in__conv) ).
fof(c_0_607,axiom,
! [X12,X9] :
( X9 = bot_bo1055319631e_bool
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ),
file('<stdin>',fact_67_equals0D) ).
fof(c_0_608,axiom,
! [X12,X9] :
( X9 = bot_bo844097828e_bool
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
file('<stdin>',fact_66_equals0D) ).
fof(c_0_609,axiom,
! [X98,X99] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X98),X99))
| X98 = X99 ),
file('<stdin>',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple) ).
fof(c_0_610,axiom,
! [X98,X99] :
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X98),X99))
| X98 = X99 ),
file('<stdin>',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com) ).
fof(c_0_611,axiom,
! [X98,X99] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X98),X99))
| X98 = X99 ),
file('<stdin>',help_fequal_1_1_fequal_000tc__Com__Ostate_T) ).
fof(c_0_612,axiom,
! [X28,X12,X20] :
( hAPP_p799580910on_com(X28,X12) = some_com(X20)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28))) ),
file('<stdin>',fact_197_domI) ).
fof(c_0_613,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),bot_bo1055319631e_bool))
<=> X12 = bot_bo1055319631e_bool ),
file('<stdin>',fact_364_bot__unique) ).
fof(c_0_614,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),bot_bo1055319631e_bool))
=> X12 = bot_bo1055319631e_bool ),
file('<stdin>',fact_362_le__bot) ).
fof(c_0_615,axiom,
! [X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),bot_bo1055319631e_bool))
<=> X9 = bot_bo1055319631e_bool ),
file('<stdin>',fact_158_subset__empty) ).
fof(c_0_616,axiom,
! [X15] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),bot_bo1055319631e_bool)),
file('<stdin>',fact_73_empty__iff) ).
fof(c_0_617,axiom,
! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
file('<stdin>',fact_72_empty__iff) ).
fof(c_0_618,axiom,
! [X12] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),bot_bo1055319631e_bool)),
file('<stdin>',fact_55_emptyE) ).
fof(c_0_619,axiom,
! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
file('<stdin>',fact_54_emptyE) ).
fof(c_0_620,axiom,
! [X12,X20] :
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),bot_bo1055319631e_bool)
=> X12 = X20 ),
file('<stdin>',fact_142_singleton__inject) ).
fof(c_0_621,axiom,
! [X12] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool),
file('<stdin>',fact_209_singleton__conv) ).
fof(c_0_622,axiom,
! [X12] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool),
file('<stdin>',fact_208_singleton__conv) ).
fof(c_0_623,axiom,
! [X12] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool),
file('<stdin>',fact_207_singleton__conv) ).
fof(c_0_624,axiom,
! [X12] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool),
file('<stdin>',fact_206_singleton__conv) ).
fof(c_0_625,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)) = X16,
file('<stdin>',fact_652_sup__inf__absorb) ).
fof(c_0_626,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = X16,
file('<stdin>',fact_651_inf__sup__absorb) ).
fof(c_0_627,axiom,
! [X3,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4))
=> hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X3),X4)) ),
file('<stdin>',fact_386_hoare__sound) ).
fof(c_0_628,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ! [X34] :
( is_pname(X34)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X34),X9)) )
=> X9 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_531_equals0I) ).
fof(c_0_629,axiom,
! [X9] :
( ! [X34] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X34),X9))
=> X9 = bot_bo1055319631e_bool ),
file('<stdin>',fact_532_equals0I) ).
fof(c_0_630,axiom,
! [X15] : hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X15),evalc(X15)),
file('<stdin>',fact_535_MGT__def) ).
fof(c_0_631,axiom,
! [X86] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X86),X86)),
file('<stdin>',fact_542_evalc_OSkip) ).
fof(c_0_632,axiom,
! [X33,X97,X100] : hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X33),X97),X100) = hAPP_f854625363l_bool(X33,hAPP_H1645666623e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_036) ).
fof(c_0_633,axiom,
! [X33,X97,X100] : hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X33),X97),X100) = hAPP_f1949912908_state(X33,hAPP_p1637813682e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__Com__Ostate_Mtc___035) ).
fof(c_0_634,axiom,
! [X33,X97,X100] : hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X33),X97),X100) = hAPP_b798484845_state(X33,hAPP_pname_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp) ).
fof(c_0_635,axiom,
! [X33,X97,X100] : hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_f2143211163_state(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___033) ).
fof(c_0_636,axiom,
! [X33,X97,X100] : hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X33),X97),X100) = hAPP_f854625363l_bool(X33,hAPP_p877885514e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I_032) ).
fof(c_0_637,axiom,
! [X33,X97,X100] : hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_H563960305_state(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___029) ).
fof(c_0_638,axiom,
! [X33,X97,X100] : hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_f1308959284_state(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com___028) ).
fof(c_0_639,axiom,
! [X33,X97,X100] : hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X33),X97),X100) = hAPP_f644196280e_bool(X33,hAPP_s2001034685l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H_026) ).
fof(c_0_640,axiom,
! [X33,X97,X100] : hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X33),X97),X100) = hAPP_f434788991l_bool(X33,hAPP_H1632039476e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025) ).
fof(c_0_641,axiom,
! [X33,X97,X100] : hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_p1842370726_state(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__) ).
fof(c_0_642,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X33),X97),X100) = hAPP_f1760790145l_bool(X33,hAPP_H1645666623e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_I) ).
fof(c_0_643,axiom,
! [X33,X97,X100] : hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X33),X97),X100) = hAPP_b1679505845on_com(X33,hAPP_pname_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__Option__Ooption_Itc__Com_) ).
fof(c_0_644,axiom,
! [X33,X97,X100] : hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X33),X97),X100) = hAPP_f167292325e_bool(X33,hAPP_s2001034685l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__HOL__Obool_Mtc__H) ).
fof(c_0_645,axiom,
! [X33,X97,X100] : hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_f1008690464_pname(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_022) ).
fof(c_0_646,axiom,
! [X33,X97,X100] : hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_f1760790145l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_021) ).
fof(c_0_647,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X33),X97),X100) = hAPP_f1012183542e_bool(X33,hAPP_s336103912e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__fun_Itc__Com__Ostate_Mtc__) ).
fof(c_0_648,axiom,
! [X33,X97,X100] : hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X33),X97),X100) = hAPP_f1863945078e_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It_018) ).
fof(c_0_649,axiom,
! [X33,X97,X100] : hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X33),X97),X100) = hAPP_f1259673775l_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__fun_It) ).
fof(c_0_650,axiom,
! [X33,X97,X100] : hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X33),X97),X100) = hAPP_f434788991l_bool(X33,hAPP_p61793385e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It) ).
fof(c_0_651,axiom,
! [X33,X97,X100] : hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_H1344248906_pname(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_016) ).
fof(c_0_652,axiom,
! [X33,X97,X100] : hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_H513860823e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_014) ).
fof(c_0_653,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_f1760790145l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__) ).
fof(c_0_654,axiom,
! [X33,X97,X100] : hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_f1297739591_pname(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_012) ).
fof(c_0_655,axiom,
! [X33,X97,X100] : hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_f1664156314l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011) ).
fof(c_0_656,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_H513860823e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) ).
fof(c_0_657,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X33),X97),X100) = hAPP_c1546227244_state(X33,hAPP_pname_com(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____ddpglwnxwg__O) ).
fof(c_0_658,axiom,
! [X33,X97,X100] : hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_pname_pname(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).
fof(c_0_659,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X33),X97),X100) = hAPP_f327114704l_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__HOL__O) ).
fof(c_0_660,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X33),X97),X100) = hAPP_f1664156314l_bool(X33,hAPP_p61793385e_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O) ).
fof(c_0_661,axiom,
! [X33,X97,X100] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_state_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010) ).
fof(c_0_662,axiom,
! [X33,X97,X100] : hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_pname_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(c_0_663,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_f1664156314l_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op) ).
fof(c_0_664,axiom,
! [X33,X97,X100] : hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X33),X97),X100) = hAPP_option_com_com(X33,hAPP_p799580910on_com(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00) ).
fof(c_0_665,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_state_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(c_0_666,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_pname_bool(X97,X100)),
file('<stdin>',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U) ).
fof(c_0_667,axiom,
! [X97,X33] :
( ~ hBOOL(X33)
| ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97)) ),
file('<stdin>',help_fconj_1_1_U) ).
fof(c_0_668,axiom,
! [X16] :
( is_pname(X16)
=> hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X16 ),
file('<stdin>',fact_260_the__elem__eq) ).
fof(c_0_669,axiom,
! [X33,X97] :
( ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97)) ),
file('<stdin>',help_fimplies_2_1_U) ).
fof(c_0_670,axiom,
! [X33,X97] :
( ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97)) ),
file('<stdin>',help_fdisj_2_1_U) ).
fof(c_0_671,axiom,
! [X97,X33] :
( ~ hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97)) ),
file('<stdin>',help_fdisj_1_1_U) ).
fof(c_0_672,axiom,
! [X16] : hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X16,
file('<stdin>',fact_261_the__elem__eq) ).
fof(c_0_673,axiom,
! [X98,X99] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X98),X99) = X99,
file('<stdin>',help_If_2_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate) ).
fof(c_0_674,axiom,
! [X98,X99] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X98),X99) = X98,
file('<stdin>',help_If_1_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate) ).
fof(c_0_675,axiom,
! [X98,X99] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X98),X99) = X99,
file('<stdin>',help_If_2_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T) ).
fof(c_0_676,axiom,
! [X98,X99] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X98),X99) = X98,
file('<stdin>',help_If_1_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T) ).
fof(c_0_677,axiom,
! [X97,X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97)) ),
file('<stdin>',help_fimplies_1_1_U) ).
fof(c_0_678,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X98),X99)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple) ).
fof(c_0_679,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X98),X99)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com) ).
fof(c_0_680,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X98),X99)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).
fof(c_0_681,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X98),X99)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__Com__Ostate_T) ).
fof(c_0_682,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X98),X99)) ),
file('<stdin>',help_fequal_2_1_fequal_000tc__Com__Opname_T) ).
fof(c_0_683,axiom,
! [X16,X18] :
( X16 = X18
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18)) ),
file('<stdin>',fact_355_order__eq__refl) ).
fof(c_0_684,axiom,
! [X16,X18] :
( X16 = X18
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18)) ),
file('<stdin>',fact_354_order__eq__refl) ).
fof(c_0_685,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ),
file('<stdin>',fact_123_equalityD1) ).
fof(c_0_686,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
file('<stdin>',fact_122_equalityD1) ).
fof(c_0_687,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ),
file('<stdin>',fact_121_equalityD2) ).
fof(c_0_688,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ),
file('<stdin>',fact_120_equalityD2) ).
fof(c_0_689,axiom,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ) ),
file('<stdin>',fact_111_equalityE) ).
fof(c_0_690,axiom,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ),
file('<stdin>',fact_110_equalityE) ).
fof(c_0_691,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = bot_bo1055319631e_bool )
& ( X9 != bot_bo844097828e_bool
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),bot_bo1055319631e_bool) ) ) ),
file('<stdin>',fact_36_image__constant__conv) ).
fof(c_0_692,axiom,
! [X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X16)),
file('<stdin>',fact_265_order__refl) ).
fof(c_0_693,axiom,
! [X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X16)),
file('<stdin>',fact_264_order__refl) ).
fof(c_0_694,axiom,
! [X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X9)),
file('<stdin>',fact_127_subset__refl) ).
fof(c_0_695,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X9)),
file('<stdin>',fact_126_subset__refl) ).
fof(c_0_696,axiom,
! [X17,X16,X18] :
( hAPP_p799580910on_com(X17,X16) = some_com(X18)
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),dom_pname_com(X17)) = dom_pname_com(X17) ),
file('<stdin>',fact_39_insert__dom) ).
fof(c_0_697,axiom,
! [X14] :
( bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X14)
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
file('<stdin>',fact_75_empty__Collect__eq) ).
fof(c_0_698,axiom,
! [X14] :
( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X14)
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
file('<stdin>',fact_74_empty__Collect__eq) ).
fof(c_0_699,axiom,
! [X14] :
( hAPP_f559147733l_bool(collec1974731493e_bool,X14) = bot_bo1649642514l_bool
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
file('<stdin>',fact_69_Collect__empty__eq) ).
fof(c_0_700,axiom,
! [X14] :
( hAPP_f759274231e_bool(collect_pname,X14) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
file('<stdin>',fact_68_Collect__empty__eq) ).
fof(c_0_701,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = bot_bo844097828e_bool
<=> ( X16 = bot_bo844097828e_bool
& X18 = bot_bo844097828e_bool ) ) ),
file('<stdin>',fact_455_sup__eq__bot__iff) ).
fof(c_0_702,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = bot_bo844097828e_bool
<=> ( X9 = bot_bo844097828e_bool
& X19 = bot_bo844097828e_bool ) ) ),
file('<stdin>',fact_296_Un__empty) ).
fof(c_0_703,axiom,
! [X12,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X12),
file('<stdin>',fact_424_sup_Ocommute) ).
fof(c_0_704,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16),
file('<stdin>',fact_423_inf__sup__aci_I5_J) ).
fof(c_0_705,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16),
file('<stdin>',fact_422_sup__commute) ).
fof(c_0_706,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X9),
file('<stdin>',fact_290_Un__commute) ).
fof(c_0_707,axiom,
! [X98,X33] :
( ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X33))
| hBOOL(hAPP_state_bool(X33,X98)) ),
file('<stdin>',help_fAll_1_1_fAll_000tc__Com__Ostate_U) ).
fof(c_0_708,axiom,
! [X12] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X12)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool),
file('<stdin>',fact_213_singleton__conv2) ).
fof(c_0_709,axiom,
! [X12] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X12)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool),
file('<stdin>',fact_212_singleton__conv2) ).
fof(c_0_710,axiom,
! [X12] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X12)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool),
file('<stdin>',fact_211_singleton__conv2) ).
fof(c_0_711,axiom,
! [X12] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X12)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool),
file('<stdin>',fact_210_singleton__conv2) ).
fof(c_0_712,axiom,
! [X12] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X12)),
file('<stdin>',fact_366_bot__least) ).
fof(c_0_713,axiom,
! [X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X12)),
file('<stdin>',fact_365_bot__least) ).
fof(c_0_714,axiom,
! [X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X9)),
file('<stdin>',fact_22_empty__subsetI) ).
fof(c_0_715,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X9)),
file('<stdin>',fact_21_empty__subsetI) ).
fof(c_0_716,axiom,
! [X15,X9] :
( ( X9 = bot_bo1055319631e_bool
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo1055319631e_bool
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),bot_bo844097828e_bool) ) ),
file('<stdin>',fact_35_image__constant__conv) ).
fof(c_0_717,axiom,
! [X14] :
( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X14)
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
file('<stdin>',fact_77_empty__Collect__eq) ).
fof(c_0_718,axiom,
! [X14] :
( bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,X14)
<=> ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(X14,X21)) ),
file('<stdin>',fact_76_empty__Collect__eq) ).
fof(c_0_719,axiom,
! [X14] :
( hAPP_f921536533e_bool(collec727977250_state,X14) = bot_bo1055319631e_bool
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
file('<stdin>',fact_71_Collect__empty__eq) ).
fof(c_0_720,axiom,
! [X14] :
( hAPP_f1970439265l_bool(collec111528142e_bool,X14) = bot_bo1325454745l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(X14,X21)) ),
file('<stdin>',fact_70_Collect__empty__eq) ).
fof(c_0_721,axiom,
! [X16,X18] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = bot_bo1055319631e_bool
<=> ( X16 = bot_bo1055319631e_bool
& X18 = bot_bo1055319631e_bool ) ),
file('<stdin>',fact_456_sup__eq__bot__iff) ).
fof(c_0_722,axiom,
! [X9,X19] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = bot_bo1055319631e_bool
<=> ( X9 = bot_bo1055319631e_bool
& X19 = bot_bo1055319631e_bool ) ),
file('<stdin>',fact_297_Un__empty) ).
fof(c_0_723,axiom,
! [X12,X9] : bot_bo1055319631e_bool != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9),
file('<stdin>',fact_152_empty__not__insert) ).
fof(c_0_724,axiom,
! [X12,X9] : bot_bo844097828e_bool != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9),
file('<stdin>',fact_151_empty__not__insert) ).
fof(c_0_725,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) != bot_bo1055319631e_bool,
file('<stdin>',fact_150_insert__not__empty) ).
fof(c_0_726,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) != bot_bo844097828e_bool,
file('<stdin>',fact_149_insert__not__empty) ).
fof(c_0_727,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('<stdin>',fact_215_WT__bodiesD) ).
fof(c_0_728,axiom,
! [X37,X38] :
( ( is_pname(X37)
& is_pname(X38) )
=> ( hAPP_pname_com(body_1,X37) = hAPP_pname_com(body_1,X38)
<=> X37 = X38 ) ),
file('<stdin>',fact_257_com_Osimps_I6_J) ).
fof(c_0_729,axiom,
! [X33] :
( ~ hBOOL(hAPP_bool_bool(fNot,X33))
| ~ hBOOL(X33) ),
file('<stdin>',help_fNot_1_1_U) ).
fof(c_0_730,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(c_0_731,axiom,
! [X74,X44,X71,X47] :
( while(X74,X44) = while(X71,X47)
<=> ( X74 = X71
& X44 = X47 ) ),
file('<stdin>',fact_498_com_Osimps_I5_J) ).
fof(c_0_732,axiom,
! [X69,X70,X72,X73] :
( semi(X69,X70) = semi(X72,X73)
<=> ( X69 = X72
& X70 = X73 ) ),
file('<stdin>',fact_497_com_Osimps_I3_J) ).
fof(c_0_733,axiom,
! [X21] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X21))
<=> hBOOL(bot_bot_bool) ),
file('<stdin>',fact_376_bot__fun__def) ).
fof(c_0_734,axiom,
! [X21] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X21))
<=> hBOOL(bot_bot_bool) ),
file('<stdin>',fact_375_bot__fun__def) ).
fof(c_0_735,axiom,
! [X16] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X16))
<=> hBOOL(bot_bot_bool) ),
file('<stdin>',fact_374_bot__apply) ).
fof(c_0_736,axiom,
! [X16] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X16))
<=> hBOOL(bot_bot_bool) ),
file('<stdin>',fact_373_bot__apply) ).
fof(c_0_737,axiom,
! [X16] : set_com(some_com(X16)) = hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X16),bot_bot_fun_com_bool),
file('<stdin>',fact_404_Option_Oset_Osimps_I2_J) ).
fof(c_0_738,axiom,
! [X16] : set_Ho1831989999_state(some_H1133819688_state(X16)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool),
file('<stdin>',fact_403_Option_Oset_Osimps_I2_J) ).
fof(c_0_739,axiom,
! [X16] : set_pname(some_pname(X16)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool),
file('<stdin>',fact_402_Option_Oset_Osimps_I2_J) ).
fof(c_0_740,axiom,
! [X1,X2] :
( ( is_fun1661590463l_bool(X1)
& is_fun_pname_bool(X2) )
=> is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(c_0_741,axiom,
! [X1,X2] :
( ( is_fun_pname_bool(X1)
& is_pname(X2) )
=> is_bool(hAPP_pname_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool) ).
fof(c_0_742,axiom,
! [X71,X47,X69,X70] : while(X71,X47) != semi(X69,X70),
file('<stdin>',fact_496_com_Osimps_I47_J) ).
fof(c_0_743,axiom,
! [X69,X70,X71,X47] : semi(X69,X70) != while(X71,X47),
file('<stdin>',fact_495_com_Osimps_I46_J) ).
fof(c_0_744,axiom,
! [X16] :
( is_fun_pname_bool(X16)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),bot_bo844097828e_bool) = X16 ),
file('<stdin>',fact_457_sup__bot__right) ).
fof(c_0_745,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),bot_bo844097828e_bool) = X9 ),
file('<stdin>',fact_298_Un__empty__right) ).
fof(c_0_746,axiom,
! [X16] :
( is_fun_pname_bool(X16)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X16) = X16 ),
file('<stdin>',fact_459_sup__bot__left) ).
fof(c_0_747,axiom,
! [X19] :
( is_fun_pname_bool(X19)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X19) = X19 ),
file('<stdin>',fact_300_Un__empty__left) ).
fof(c_0_748,axiom,
! [X75,X76,X64] : semi(X75,X76) != hAPP_pname_com(body_1,X64),
file('<stdin>',fact_505_com_Osimps_I48_J) ).
fof(c_0_749,axiom,
! [X64,X75,X76] : hAPP_pname_com(body_1,X64) != semi(X75,X76),
file('<stdin>',fact_504_com_Osimps_I49_J) ).
fof(c_0_750,axiom,
! [X74,X44,X38] : while(X74,X44) != hAPP_pname_com(body_1,X38),
file('<stdin>',fact_500_com_Osimps_I58_J) ).
fof(c_0_751,axiom,
! [X38,X74,X44] : hAPP_pname_com(body_1,X38) != while(X74,X44),
file('<stdin>',fact_499_com_Osimps_I59_J) ).
fof(c_0_752,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( bot_bo1055319631e_bool = hAPP_f631639356e_bool(image_275883510_state(X17),X9)
<=> X9 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_164_empty__is__image) ).
fof(c_0_753,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( hAPP_f631639356e_bool(image_275883510_state(X17),X9) = bot_bo1055319631e_bool
<=> X9 = bot_bo844097828e_bool ) ),
file('<stdin>',fact_160_image__is__empty) ).
fof(c_0_754,axiom,
! [X3] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),bot_bo1055319631e_bool)),
file('<stdin>',fact_0_empty) ).
fof(c_0_755,axiom,
! [X12] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X12) = X12,
file('<stdin>',fact_426_sup_Oidem) ).
fof(c_0_756,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X16) = X16,
file('<stdin>',fact_425_sup__idem) ).
fof(c_0_757,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X9) = X9,
file('<stdin>',fact_295_Un__absorb) ).
fof(c_0_758,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_008) ).
fof(c_0_759,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_007) ).
fof(c_0_760,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo) ).
fof(c_0_761,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc) ).
fof(c_0_762,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op) ).
fof(c_0_763,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_pname(hAPP_f1297739591_pname(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname) ).
fof(c_0_764,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(c_0_765,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).
fof(c_0_766,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(c_0_767,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_pname(hAPP_pname_pname(X1,X2)) ),
file('<stdin>',gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname) ).
fof(c_0_768,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),bot_bo1055319631e_bool) = X16,
file('<stdin>',fact_458_sup__bot__right) ).
fof(c_0_769,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),bot_bo1055319631e_bool) = X9,
file('<stdin>',fact_299_Un__empty__right) ).
fof(c_0_770,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
file('<stdin>',fact_658_inf__bot__right) ).
fof(c_0_771,axiom,
! [X16] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),bot_bo844097828e_bool) = bot_bo844097828e_bool,
file('<stdin>',fact_657_inf__bot__right) ).
fof(c_0_772,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
file('<stdin>',fact_569_Int__empty__right) ).
fof(c_0_773,axiom,
! [X9] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),bot_bo844097828e_bool) = bot_bo844097828e_bool,
file('<stdin>',fact_568_Int__empty__right) ).
fof(c_0_774,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X16) = X16,
file('<stdin>',fact_460_sup__bot__left) ).
fof(c_0_775,axiom,
! [X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X19) = X19,
file('<stdin>',fact_301_Un__empty__left) ).
fof(c_0_776,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X16) = bot_bo1055319631e_bool,
file('<stdin>',fact_660_inf__bot__left) ).
fof(c_0_777,axiom,
! [X16] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X16) = bot_bo844097828e_bool,
file('<stdin>',fact_659_inf__bot__left) ).
fof(c_0_778,axiom,
! [X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X19) = bot_bo1055319631e_bool,
file('<stdin>',fact_571_Int__empty__left) ).
fof(c_0_779,axiom,
! [X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X19) = bot_bo844097828e_bool,
file('<stdin>',fact_570_Int__empty__left) ).
fof(c_0_780,axiom,
! [X17,X9] :
( bot_bo844097828e_bool = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)
<=> X9 = bot_bo1055319631e_bool ),
file('<stdin>',fact_163_empty__is__image) ).
fof(c_0_781,axiom,
! [X17,X9] :
( hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9) = bot_bo844097828e_bool
<=> X9 = bot_bo1055319631e_bool ),
file('<stdin>',fact_159_image__is__empty) ).
fof(c_0_782,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
file('<stdin>',fact_236_finite__dom__body) ).
fof(c_0_783,axiom,
! [X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(fNot,X33)) ),
file('<stdin>',help_fNot_2_1_U) ).
fof(c_0_784,axiom,
! [X1,X2] : is_bool(hAPP_f1904669497l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__O) ).
fof(c_0_785,axiom,
! [X1,X2] : is_bool(hAPP_f389811538l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__) ).
fof(c_0_786,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f280588268e_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It_009) ).
fof(c_0_787,axiom,
! [X1,X2] : is_bool(hAPP_f239102607l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It) ).
fof(c_0_788,axiom,
! [X1,X2] : is_fun1661590463l_bool(hAPP_f748867288l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_006) ).
fof(c_0_789,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f1745235422e_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_005) ).
fof(c_0_790,axiom,
! [X1,X2] : is_pname(hAPP_f1008690464_pname(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O) ).
fof(c_0_791,axiom,
! [X1,X2] : is_bool(hAPP_f327114704l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(c_0_792,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f42430548e_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__fun_Itc__Com__Opname_Mtc__HOL__Obool) ).
fof(c_0_793,axiom,
! [X1,X2] : is_bool(hAPP_f990396704l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Com__Ocom_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(c_0_794,axiom,
! [X1,X2] : is_fun1661590463l_bool(hAPP_H737849090l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_003) ).
fof(c_0_795,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_H1632039476e_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_002) ).
fof(c_0_796,axiom,
! [X1,X2] : is_bool(hAPP_H513860823e_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0_001) ).
fof(c_0_797,axiom,
! [X1,X2] : is_pname(hAPP_H1344248906_pname(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate_J_0) ).
fof(c_0_798,axiom,
! [X1,X2] : is_bool(hAPP_state_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
fof(c_0_799,axiom,
! [X1,X2] : is_bool(hAPP_com_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool) ).
fof(c_0_800,axiom,
! [X1,X2] : is_bool(finite959343283e_bool(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Hoare____Mirabelle____ddpg) ).
fof(c_0_801,axiom,
! [X1,X2] : is_bool(finite1268145088e_bool(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one__idem_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo) ).
fof(c_0_802,axiom,
! [X1,X2] : is_bool(finite506823037_state(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____ddpglwnxwg__O) ).
fof(c_0_803,axiom,
! [X1,X2] : is_bool(finite89670078_pname(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Opname) ).
fof(c_0_804,axiom,
! [X1,X2] : is_bool(finite132673334e_bool(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg) ).
fof(c_0_805,axiom,
! [X1,X2] : is_bool(finite1626890877e_bool(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(c_0_806,axiom,
! [X1,X2] : is_bool(finite774711482_state(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple) ).
fof(c_0_807,axiom,
! [X1,X2] : is_bool(finite1282449217_pname(X1,X2)),
file('<stdin>',gsy_c_Finite__Set_Ofolding__one_000tc__Com__Opname) ).
fof(c_0_808,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X33),X97) = X33 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____ddp) ).
fof(c_0_809,axiom,
! [X33,X97] :
( is_pname(X33)
=> hAPP_H1344248906_pname(cOMBK_588224941_state(X33),X97) = X33 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____ddpglwnxwg_) ).
fof(c_0_810,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_H513860823e_bool(cOMBK_1079618832_state(X33),X97) = X33 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__) ).
fof(c_0_811,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X33),X97) = X33 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).
fof(c_0_812,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_pname_bool(cOMBK_bool_pname(X33),X97) = X33 ),
file('<stdin>',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U) ).
fof(c_0_813,axiom,
hBOOL(hAPP_com_bool(wt,skip)),
file('<stdin>',fact_480_WT_OSkip) ).
fof(c_0_814,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
file('<stdin>',fact_30_finite_OemptyI) ).
fof(c_0_815,axiom,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
file('<stdin>',fact_29_finite_OemptyI) ).
fof(c_0_816,axiom,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
file('<stdin>',fact_28_finite_OemptyI) ).
fof(c_0_817,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
file('<stdin>',fact_27_finite_OemptyI) ).
fof(c_0_818,axiom,
! [X78,X79] : semi(X78,X79) != skip,
file('<stdin>',fact_508_com_Osimps_I13_J) ).
fof(c_0_819,axiom,
! [X78,X79] : skip != semi(X78,X79),
file('<stdin>',fact_507_com_Osimps_I12_J) ).
fof(c_0_820,axiom,
! [X71,X47] : while(X71,X47) != skip,
file('<stdin>',fact_503_com_Osimps_I17_J) ).
fof(c_0_821,axiom,
! [X71,X47] : skip != while(X71,X47),
file('<stdin>',fact_502_com_Osimps_I16_J) ).
fof(c_0_822,axiom,
! [X33,X97] : hAPP_p1842370726_state(cOMBK_90103121_pname(X33),X97) = X33,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__) ).
fof(c_0_823,axiom,
! [X33,X97] : hAPP_s1806633685e_bool(cOMBK_631994958_state(X33),X97) = X33,
file('<stdin>',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000tc__Com__O) ).
fof(c_0_824,axiom,
! [X14] :
( is_fun1661590463l_bool(X14)
=> hAPP_f559147733l_bool(collec1974731493e_bool,X14) = X14 ),
file('<stdin>',fact_179_Collect__def) ).
fof(c_0_825,axiom,
! [X14] :
( is_fun_pname_bool(X14)
=> hAPP_f759274231e_bool(collect_pname,X14) = X14 ),
file('<stdin>',fact_178_Collect__def) ).
fof(c_0_826,axiom,
! [X64] : skip != hAPP_pname_com(body_1,X64),
file('<stdin>',fact_479_com_Osimps_I18_J) ).
fof(c_0_827,axiom,
! [X64] : hAPP_pname_com(body_1,X64) != skip,
file('<stdin>',fact_478_com_Osimps_I19_J) ).
fof(c_0_828,axiom,
! [X42] : hAPP_option_com_com(the_com,some_com(X42)) = X42,
file('<stdin>',fact_268_the_Osimps) ).
fof(c_0_829,axiom,
! [X17] : hAPP_f631639356e_bool(image_275883510_state(X17),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
file('<stdin>',fact_162_image__empty) ).
fof(c_0_830,axiom,
! [X17] : hAPP_f1745235422e_bool(image_1925245338_pname(X17),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
file('<stdin>',fact_161_image__empty) ).
fof(c_0_831,axiom,
! [X1] :
( is_option_pname(X1)
=> is_fun_pname_bool(set_pname(X1)) ),
file('<stdin>',gsy_c_Option_Oset_000tc__Com__Opname) ).
fof(c_0_832,axiom,
! [X1] :
( is_pname(X1)
=> is_option_pname(some_pname(X1)) ),
file('<stdin>',gsy_c_Option_Ooption_OSome_000tc__Com__Opname) ).
fof(c_0_833,axiom,
! [X1] :
( is_bool(X1)
=> is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
file('<stdin>',gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(c_0_834,axiom,
! [X1] :
( is_bool(X1)
=> is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
file('<stdin>',gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname) ).
fof(c_0_835,axiom,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
file('<stdin>',fact_85_empty__def) ).
fof(c_0_836,axiom,
bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)),
file('<stdin>',fact_84_empty__def) ).
fof(c_0_837,axiom,
bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)),
file('<stdin>',fact_83_empty__def) ).
fof(c_0_838,axiom,
bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)),
file('<stdin>',fact_82_empty__def) ).
fof(c_0_839,axiom,
! [X12,X49] :
( some_com(X12) = some_com(X49)
<=> X12 = X49 ),
file('<stdin>',fact_358_option_Oinject) ).
fof(c_0_840,axiom,
! [X14] : hAPP_f1970439265l_bool(collec111528142e_bool,X14) = X14,
file('<stdin>',fact_180_Collect__def) ).
fof(c_0_841,axiom,
! [X14] : hAPP_f921536533e_bool(collec727977250_state,X14) = X14,
file('<stdin>',fact_177_Collect__def) ).
fof(c_0_842,axiom,
( hBOOL(hoare_298929751gleton)
=> ! [X63] :
~ ! [X57] : X57 = X63 ),
file('<stdin>',fact_411_single__stateE) ).
fof(c_0_843,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('<stdin>',help_If_3_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate) ).
fof(c_0_844,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('<stdin>',help_If_3_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T) ).
fof(c_0_845,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('<stdin>',help_fFalse_1_1_T) ).
fof(c_0_846,axiom,
is_pname(undefined_pname(pname)),
file('<stdin>',gsy_c_HOL_Oundefined_000tc__Com__Opname) ).
fof(c_0_847,axiom,
( hBOOL(hoare_298929751gleton)
<=> ? [X57,X63] : X57 != X63 ),
file('<stdin>',fact_412_state__not__singleton__def) ).
fof(c_0_848,axiom,
~ hBOOL(fFalse),
file('<stdin>',help_fFalse_1_1_U) ).
fof(c_0_849,axiom,
is_bool(fTrue),
file('<stdin>',gsy_c_fTrue) ).
fof(c_0_850,axiom,
is_bool(fFalse),
file('<stdin>',gsy_c_fFalse) ).
fof(c_0_851,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
file('<stdin>',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__) ).
fof(c_0_852,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
file('<stdin>',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(c_0_853,axiom,
is_bool(bot_bot_bool),
file('<stdin>',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
fof(c_0_854,axiom,
is_fun1661590463l_bool(finite_finite_pname),
file('<stdin>',gsy_c_Finite__Set_Ofinite_000tc__Com__Opname) ).
fof(c_0_855,axiom,
! [X14,X13,X3,X51,X52,X53,X54] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X54))
=> ( ! [X55] :
( is_pname(X55)
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X51,X55)),hAPP_pname_com(X52,X55)),hAPP_p1637813682e_bool(X53,X55))),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X14,X55)),hAPP_pname_com(X52,X55)),hAPP_p1637813682e_bool(X13,X55))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X51)),X52)),X53)),X54)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),X52)),X13)),X54))) ) ) ),
c_0_0 ).
fof(c_0_856,axiom,
! [X3,X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X15))))),fequal_state))),X15),fequal_state)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ),
c_0_1 ).
fof(c_0_857,axiom,
! [X3,X15,X13,X14] :
( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X57))),X15),cOMBK_631994958_state(hAPP_s1806633685e_bool(X13,X56)))),bot_bo1055319631e_bool))) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ),
c_0_2 ).
fof(c_0_858,axiom,
! [X3,X15] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X15))))),fequal_state))),X15),fequal_state)),bot_bo1055319631e_bool))) ),
c_0_3 ).
fof(c_0_859,axiom,
! [X13,X14,X3,X51,X15,X53] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X51),X15),X53)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> ! [X60] :
( ! [X61] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X51,X61),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X53,X61),X60)) )
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X13,X56),X60)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
c_0_4 ).
fof(c_0_860,axiom,
! [X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))) ),
c_0_5 ).
fof(c_0_861,axiom,
! [X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))) ),
c_0_6 ).
fof(c_0_862,axiom,
! [X8,X3,X14,X13,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),body_1)),X13)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X14)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X13)),X39)))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X39))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X14,X8)),hAPP_pname_com(body_1,X8)),hAPP_p1637813682e_bool(X13,X8))),bot_bo1055319631e_bool))) ) ),
c_0_7 ).
fof(c_0_863,axiom,
! [X3,X14,X20,X15] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X14))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X20))),while(X20,X15)),X14)),bot_bo1055319631e_bool))),
c_0_8 ).
fof(c_0_864,axiom,
! [X3,X14,X15,X13,X22] :
( ( hBOOL(X22)
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X14))),X22)),X15),X13)),bot_bo1055319631e_bool))) ),
c_0_9 ).
fof(c_0_865,axiom,
! [X13,X3,X14,X15,X53] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X53)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X53,X56),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X13,X56),X57)) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
c_0_10 ).
fof(c_0_866,axiom,
! [X14,X3,X51,X15,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X51),X15),X13)),bot_bo1055319631e_bool)))
=> ( ! [X56,X57] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X14,X56),X57))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X51,X56),X57)) )
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
c_0_11 ).
fof(c_0_867,axiom,
! [X14,X8,X13,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),X3)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),bot_bo1055319631e_bool))) ),
c_0_12 ).
fof(c_0_868,axiom,
! [X15,X12,X17,X20] :
( X12 = hAPP_f921536533e_bool(X17,X20)
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X20))
=> ( ! [X21,X34] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X21))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X34)),hAPP_f921536533e_bool(X17,X21))) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X15)),X12)) ) ) ),
c_0_13 ).
fof(c_0_869,axiom,
! [X15,X12,X17,X20] :
( X12 = hAPP_f759274231e_bool(X17,X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X20))
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X34),X21))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X34)),hAPP_f759274231e_bool(X17,X21))) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X15)),X12)) ) ) ),
c_0_14 ).
fof(c_0_870,axiom,
! [X17,X15,X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X12))
=> ( hAPP_f921536533e_bool(X17,X20) = X15
=> ( ! [X21,X34] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X21))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X17,X34)),hAPP_f921536533e_bool(X17,X21))) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),hAPP_f921536533e_bool(X17,X12))) ) ) ),
c_0_15 ).
fof(c_0_871,axiom,
! [X17,X15,X20,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X12))
=> ( hAPP_f759274231e_bool(X17,X20) = X15
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X34),X21))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X17,X34)),hAPP_f759274231e_bool(X17,X21))) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),hAPP_f759274231e_bool(X17,X12))) ) ) ),
c_0_16 ).
fof(c_0_872,axiom,
! [X65,X10,X17,X11] :
( is_fun_pname_bool(X65)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( ! [X21,X34] :
( ( is_pname(X21)
& is_pname(X34) )
=> hAPP_pname_pname(X10,hAPP_pname_pname(hAPP_p1170154830_pname(X17,X21),X34)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_pname_pname(X10,X21)),hAPP_pname_pname(X10,X34)) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X65))
=> ( X65 != bot_bo844097828e_bool
=> hAPP_pname_pname(X10,hAPP_f1297739591_pname(X11,X65)) = hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(image_pname_pname(X10),X65)) ) ) ) ) ),
c_0_17 ).
fof(c_0_873,axiom,
! [X65,X10,X17,X11] :
( is_fun1661590463l_bool(X65)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> hAPP_f759274231e_bool(X10,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X21),X34)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f759274231e_bool(X10,X21)),hAPP_f759274231e_bool(X10,X34)) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X65))
=> ( X65 != bot_bo1649642514l_bool
=> hAPP_f759274231e_bool(X10,hAPP_f674760225e_bool(X11,X65)) = hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(image_2063528359e_bool(X10),X65)) ) ) ) ) ),
c_0_18 ).
fof(c_0_874,axiom,
! [X65,X10,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( ! [X21,X34] : hAPP_H563960305_state(X10,hAPP_H563960305_state(hAPP_H521649881_state(X17,X21),X34)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_H563960305_state(X10,X21)),hAPP_H563960305_state(X10,X34))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X65))
=> ( X65 != bot_bo1055319631e_bool
=> hAPP_H563960305_state(X10,hAPP_f2143211163_state(X11,X65)) = hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(image_650584225_state(X10),X65)) ) ) ) ),
c_0_19 ).
fof(c_0_875,axiom,
! [X65,X10,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( ! [X21,X34] : hAPP_f921536533e_bool(X10,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X21),X34)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f921536533e_bool(X10,X21)),hAPP_f921536533e_bool(X10,X34))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X65))
=> ( X65 != bot_bo1325454745l_bool
=> hAPP_f921536533e_bool(X10,hAPP_f772567431e_bool(X11,X65)) = hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(image_505022149e_bool(X10),X65)) ) ) ) ),
c_0_20 ).
fof(c_0_876,axiom,
! [X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( ! [X21,X34] :
( ( is_fun_pname_bool(X21)
& is_fun_pname_bool(X34) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X21),X34)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X34),bot_bo1649642514l_bool)))) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X11,X9)),X9)) ) ) ) ) ),
c_0_21 ).
fof(c_0_877,axiom,
! [X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( ! [X21,X34] :
( ( is_pname(X21)
& is_pname(X34) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X17,X21),X34)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X34),bot_bo844097828e_bool)))) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X11,X9)),X9)) ) ) ) ) ),
c_0_22 ).
fof(c_0_878,axiom,
! [X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( ! [X21,X34] : hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X21),X34)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X34),bot_bo1325454745l_bool))))
=> hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X11,X9)),X9)) ) ) ) ),
c_0_23 ).
fof(c_0_879,axiom,
! [X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( ! [X21,X34] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X17,X21),X34)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X34),bot_bo1055319631e_bool))))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X11,X9)),X9)) ) ) ) ),
c_0_24 ).
fof(c_0_880,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X17)),hAPP_p1842370726_state(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_881,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X17)),hAPP_H1645666623e_bool(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_882,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X17)),hAPP_H1632039476e_bool(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_883,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
& ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X17)),hAPP_f1008690464_pname(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_884,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> ? [X21] :
( is_fun_pname_bool(X21)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
& ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X17)),hAPP_f1297739591_pname(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_885,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X17)),hAPP_H1344248906_pname(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_886,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X17)),hAPP_pname_pname(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_887,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
& ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X17)),hAPP_f2143211163_state(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_888,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> ? [X21] :
( is_fun_pname_bool(X21)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
& ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X17)),hAPP_f1308959284_state(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_889,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X17),X9)))
=> ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X17)),hAPP_H563960305_state(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_890,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X17)),hAPP_p877885514e_bool(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_891,plain,
! [X17,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X17)),hAPP_p61793385e_bool(X17,X21)))))) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_892,axiom,
! [X3,X14,X8,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),hAPP_pname_com(body_1,X8)),X13)),bot_bo1055319631e_bool))) ),
c_0_37 ).
fof(c_0_893,axiom,
! [X25,X58,X3,X14,X15,X13] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X13),X25),X58)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),semi(X15,X25)),X58)),bot_bo1055319631e_bool))) ) ),
c_0_38 ).
fof(c_0_894,axiom,
! [X8,X3] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8))),X3)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8)))),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8))),bot_bo1055319631e_bool))) ),
c_0_39 ).
fof(c_0_895,axiom,
! [X14,X13,X15] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),X15),X13)),bot_bo1055319631e_bool))) ) ),
c_0_40 ).
fof(c_0_896,axiom,
! [X3,X39] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X39))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X39)))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X39))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X39))) ) ),
c_0_41 ).
fof(c_0_897,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> ( ! [X21] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X21))
=> hBOOL(hAPP_f1760790145l_bool(X13,X21)) ) )
=> hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),hAPP_f1970439265l_bool(collec111528142e_bool,X14))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X19),hAPP_f1970439265l_bool(collec111528142e_bool,X13)))) ) ),
c_0_42 ).
fof(c_0_898,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X21))
=> hBOOL(hAPP_f1664156314l_bool(X13,X21)) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),hAPP_f559147733l_bool(collec1974731493e_bool,X14))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X19),hAPP_f559147733l_bool(collec1974731493e_bool,X13)))) ) ),
c_0_43 ).
fof(c_0_899,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> ( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(collec727977250_state,X14))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),hAPP_f921536533e_bool(collec727977250_state,X13)))) ) ),
c_0_44 ).
fof(c_0_900,axiom,
! [X13,X14,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(collect_pname,X14))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),hAPP_f759274231e_bool(collect_pname,X13)))) ) ),
c_0_45 ).
fof(c_0_901,axiom,
! [X14,X17,X50,X59] : hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X14)),X17)),X50)),X59) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X59),hAPP_f759274231e_bool(collect_pname,X14)))),hAPP_f631639356e_bool(image_275883510_state(X50),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X59),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X14))))),
c_0_46 ).
fof(c_0_902,axiom,
! [X15,X3] :
( hBOOL(hoare_298929751gleton)
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),dom_pname_com(body)))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X21))),bot_bo1055319631e_bool))) ) )
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
c_0_47 ).
fof(c_0_903,plain,
! [X20,X15,X88,X7] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X88),X7))
=> ( ( X7 = X88
=> hBOOL(hAPP_state_bool(X20,X88)) )
=> ~ ( hBOOL(hAPP_state_bool(X20,X88))
=> ! [X95] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X15),X88),X95))
=> ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X95),X7)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_904,plain,
! [X67,X68,X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X67,X68)),X86),X87))
=> ~ ! [X95] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X67),X86),X95))
=> ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X68),X95),X87)) ) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_905,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X11),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,bot_bo1055319631e_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),X32))) ) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_906,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X11),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
=> ( ! [X31,X32] :
( ( is_pname(X31)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X31),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_907,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X11),X9))
=> ( hBOOL(hAPP_f239102607l_bool(X14,bot_bo1325454745l_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X31),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X31),X32))) ) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_908,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X11),X9))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
=> ( ! [X31,X32] :
( ( is_fun_pname_bool(X31)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X31),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X31),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_909,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)))),
c_0_54 ).
fof(c_0_910,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X18),X23)))),
c_0_55 ).
fof(c_0_911,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X9)),
c_0_56 ).
fof(c_0_912,axiom,
! [X17,X50,X83,X65] :
( X83 = X65
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X65))
=> hAPP_p1842370726_state(X17,X21) = hAPP_p1842370726_state(X50,X21) ) )
=> hAPP_f631639356e_bool(image_275883510_state(X17),X83) = hAPP_f631639356e_bool(image_275883510_state(X50),X65) ) ),
c_0_57 ).
fof(c_0_913,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)))),
c_0_58 ).
fof(c_0_914,axiom,
! [X16,X18,X23] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X23)))),
c_0_59 ).
fof(c_0_915,axiom,
! [X17,X19,X9] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X17,X21)),X19)) ) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),X19)) ),
c_0_60 ).
fof(c_0_916,axiom,
! [X17,X19,X9] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X17,X21)),X19)) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)),X19)) ),
c_0_61 ).
fof(c_0_917,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)),X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X58),X59))) ),
c_0_62 ).
fof(c_0_918,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)),X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X58),X59))) ),
c_0_63 ).
fof(c_0_919,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)),X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X58),X59))) ),
c_0_64 ).
fof(c_0_920,axiom,
! [X58,X59,X21] :
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)),X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X58),X59))) ),
c_0_65 ).
fof(c_0_921,axiom,
! [X12,X14] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(collec727977250_state,X14)) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12)))),X14)),
c_0_66 ).
fof(c_0_922,axiom,
! [X12,X14] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),hAPP_f1970439265l_bool(collec111528142e_bool,X14)) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12)))),X14)),
c_0_67 ).
fof(c_0_923,axiom,
! [X12,X14] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),hAPP_f559147733l_bool(collec1974731493e_bool,X14)) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12)))),X14)),
c_0_68 ).
fof(c_0_924,axiom,
! [X12,X14] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(collect_pname,X14)) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12)))),X14)),
c_0_69 ).
fof(c_0_925,axiom,
! [X3,X14] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X14),skip),X14)),bot_bo1055319631e_bool))),
c_0_70 ).
fof(c_0_926,axiom,
! [X14,X17,X50] : dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X14)),X17)),X50)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X17)),hAPP_f759274231e_bool(collect_pname,X14))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X50)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X14)))),
c_0_71 ).
fof(c_0_927,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X14)))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X13))) ) ),
c_0_72 ).
fof(c_0_928,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X14)))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X13))) ) ),
c_0_73 ).
fof(c_0_929,axiom,
! [X14,X13] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X13))) ) ),
c_0_74 ).
fof(c_0_930,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X14)),X13))))
<=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X13))) ) ),
c_0_75 ).
fof(c_0_931,plain,
! [X14,X11] :
( is_fun1661590463l_bool(X11)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( X11 != bot_bo1649642514l_bool
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),bot_bo1649642514l_bool))) )
=> ( ! [X21,X32] :
( ( is_fun_pname_bool(X21)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( X32 != bot_bo1649642514l_bool
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_932,plain,
! [X14,X11] :
( is_fun_pname_bool(X11)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( X11 != bot_bo844097828e_bool
=> ( ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),bot_bo844097828e_bool))) )
=> ( ! [X21,X32] :
( ( is_pname(X21)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( X32 != bot_bo844097828e_bool
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_933,plain,
! [X14,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( X11 != bot_bo1325454745l_bool
=> ( ! [X21] : hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),bot_bo1325454745l_bool)))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( X32 != bot_bo1325454745l_bool
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_934,plain,
! [X14,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( X11 != bot_bo1055319631e_bool
=> ( ! [X21] : hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),bot_bo1055319631e_bool)))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( X32 != bot_bo1055319631e_bool
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_935,axiom,
! [X17,X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)))),
c_0_80 ).
fof(c_0_936,axiom,
! [X14,X9,X19] :
( ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) )
<=> ( ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) )
| ? [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19))
& hBOOL(hAPP_H513860823e_bool(X14,X21)) ) ) ),
c_0_81 ).
fof(c_0_937,axiom,
! [X14,X9,X19] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) )
<=> ( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) )
& ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19))
=> hBOOL(hAPP_H513860823e_bool(X14,X21)) ) ) ),
c_0_82 ).
fof(c_0_938,axiom,
! [X29,X84,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X29))),X84),X85))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X29)),X84),X85)) ),
c_0_83 ).
fof(c_0_939,axiom,
! [X33,X86,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X33)),X86),X85))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X33))),X86),X85)) ),
c_0_84 ).
fof(c_0_940,axiom,
! [X89,X15,X90,X20,X91] :
( hBOOL(hAPP_state_bool(X20,X91))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X15),X91),X90))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X90),X89))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X91),X89)) ) ) ),
c_0_85 ).
fof(c_0_941,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X14)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X13))) )
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X14)),X13)))) ),
c_0_86 ).
fof(c_0_942,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X14)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X13))) )
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X14)),X13)))) ),
c_0_87 ).
fof(c_0_943,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X13))) )
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X14)),X13)))) ),
c_0_88 ).
fof(c_0_944,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X13))) )
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X14)),X13)))) ),
c_0_89 ).
fof(c_0_945,axiom,
! [X17,X50] :
( ! [X21] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50)) ),
c_0_90 ).
fof(c_0_946,axiom,
! [X17,X50] :
( ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X21)),hAPP_pname_bool(X50,X21))) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50)) ),
c_0_91 ).
fof(c_0_947,axiom,
! [X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
<=> ! [X21] : hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21))) ),
c_0_92 ).
fof(c_0_948,axiom,
! [X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
<=> ! [X21] :
( is_pname(X21)
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X21)),hAPP_pname_bool(X50,X21))) ) ),
c_0_93 ).
fof(c_0_949,axiom,
! [X9,X19] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
c_0_94 ).
fof(c_0_950,axiom,
! [X9,X19] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
c_0_95 ).
fof(c_0_951,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
c_0_96 ).
fof(c_0_952,axiom,
! [X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
c_0_97 ).
fof(c_0_953,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X9))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
c_0_98 ).
fof(c_0_954,axiom,
! [X9,X19] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X9))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
c_0_99 ).
fof(c_0_955,axiom,
! [X9,X19] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X9))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
c_0_100 ).
fof(c_0_956,axiom,
! [X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X9))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
c_0_101 ).
fof(c_0_957,axiom,
! [X21,X24] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X24) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X21))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X24))),
c_0_102 ).
fof(c_0_958,axiom,
! [X21,X24] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X24) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X21))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X24))),
c_0_103 ).
fof(c_0_959,axiom,
! [X21,X24] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X24) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X21))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X24))),
c_0_104 ).
fof(c_0_960,axiom,
! [X21,X24] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X24) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X21))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X24))),
c_0_105 ).
fof(c_0_961,axiom,
! [X12,X19] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X19))),
c_0_106 ).
fof(c_0_962,axiom,
! [X12,X19] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X19) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X19))),
c_0_107 ).
fof(c_0_963,axiom,
! [X12,X19] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X19) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X19))),
c_0_108 ).
fof(c_0_964,axiom,
! [X12,X19] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X19))),
c_0_109 ).
fof(c_0_965,plain,
! [X14,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,bot_bo1055319631e_bool))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X32))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X32))
=> ( hBOOL(hAPP_f1760790145l_bool(X14,X32))
=> hBOOL(hAPP_f1760790145l_bool(X14,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X32))) ) ) )
=> hBOOL(hAPP_f1760790145l_bool(X14,X11)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_966,plain,
! [X14,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,bot_bo844097828e_bool))
=> ( ! [X21,X32] :
( ( is_pname(X21)
& is_fun_pname_bool(X32) )
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X32))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X32))
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X32))
=> hBOOL(hAPP_f1664156314l_bool(X14,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_967,plain,
! [X14,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(X14,bot_bo1325454745l_bool))
=> ( ! [X21,X32] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X32))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X21),X32))
=> ( hBOOL(hAPP_f239102607l_bool(X14,X32))
=> hBOOL(hAPP_f239102607l_bool(X14,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X21),X32))) ) ) )
=> hBOOL(hAPP_f239102607l_bool(X14,X11)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_968,plain,
! [X14,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,bot_bo1649642514l_bool))
=> ( ! [X21,X32] :
( ( is_fun_pname_bool(X21)
& is_fun1661590463l_bool(X32) )
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X32))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X32))
=> ( hBOOL(hAPP_f1935102916l_bool(X14,X32))
=> hBOOL(hAPP_f1935102916l_bool(X14,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X21),X32))) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_969,axiom,
! [X16,X18,X23] :
( ! [X21,X34,X96] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X34),X96)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X34)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X96))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23)) ),
c_0_114 ).
fof(c_0_970,axiom,
! [X16,X18,X23] :
( ! [X21,X34,X96] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X34),X96)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X34)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X96))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)) ),
c_0_115 ).
fof(c_0_971,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) != bot_bo1055319631e_bool
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ),
c_0_116 ).
fof(c_0_972,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) != bot_bo844097828e_bool
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ),
c_0_117 ).
fof(c_0_973,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) != bot_bo1325454745l_bool
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19))),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ),
c_0_118 ).
fof(c_0_974,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) != bot_bo1649642514l_bool
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19))),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ),
c_0_119 ).
fof(c_0_975,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X16)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,X9) = X16 )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,X9) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)))) ) ) ) ) ) ),
c_0_120 ).
fof(c_0_976,axiom,
! [X16,X9,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,X9) = X16 )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,X9) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))) ) ) ) ) ) ),
c_0_121 ).
fof(c_0_977,plain,
! [X14,X12] :
( ( hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X14)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X14)) = bot_bo1055319631e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_978,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X14)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X14)) = bot_bo1325454745l_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_979,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X14)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X14)) = bot_bo1649642514l_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_980,plain,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X14)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X14)) = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_981,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,X9) = X16 )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)))) ) ) ) ) ),
c_0_126 ).
fof(c_0_982,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,X9) = X16 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,X9) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))) ) ) ) ) ),
c_0_127 ).
fof(c_0_983,axiom,
! [X58,X59] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X58)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X59)))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X58),X59)) ),
c_0_128 ).
fof(c_0_984,axiom,
! [X58,X59] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X58)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X59)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X58),X59)) ),
c_0_129 ).
fof(c_0_985,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f759274231e_bool(image_pname_pname(X17),X35) ) ) ) ),
c_0_130 ).
fof(c_0_986,axiom,
! [X17,X9,X19] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f434788991l_bool(image_47868345e_bool(X17),X35) ) ) ) ),
c_0_131 ).
fof(c_0_987,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X35) ) ) ) ),
c_0_132 ).
fof(c_0_988,axiom,
! [X17,X9,X19] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f748867288l_bool(image_1259634916e_bool(X17),X35) ) ) ) ),
c_0_133 ).
fof(c_0_989,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X9))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35))
& X19 = hAPP_f280588268e_bool(image_636285904_pname(X17),X35) ) ) ) ),
c_0_134 ).
fof(c_0_990,axiom,
! [X17,X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> ? [X35] :
( is_fun1661590463l_bool(X35)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X9))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
& X19 = hAPP_f674760225e_bool(image_1283814551_pname(X17),X35) ) ) ) ),
c_0_135 ).
fof(c_0_991,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f631639356e_bool(image_275883510_state(X17),X35) ) ) ),
c_0_136 ).
fof(c_0_992,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> ? [X35] :
( is_fun_pname_bool(X35)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X9))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
& X19 = hAPP_f1874607724l_bool(image_505480954e_bool(X17),X35) ) ) ),
c_0_137 ).
fof(c_0_993,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X9))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
& X19 = hAPP_f854625363l_bool(image_277167759e_bool(X17),X35) ) ) ),
c_0_138 ).
fof(c_0_994,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> ? [X35] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X9))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35))
& X19 = hAPP_f772567431e_bool(image_774712299_state(X17),X35) ) ) ),
c_0_139 ).
fof(c_0_995,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> ? [X35] :
( is_fun1661590463l_bool(X35)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X9))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
& X19 = hAPP_f780887186e_bool(image_936554724_state(X17),X35) ) ) ),
c_0_140 ).
fof(c_0_996,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X16)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = X16 )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool)))) ) ) ) ) ),
c_0_141 ).
fof(c_0_997,axiom,
! [X16,X9,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = X16 )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))) ) ) ) ) ),
c_0_142 ).
fof(c_0_998,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = X16 )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool)))) ) ) ) ),
c_0_143 ).
fof(c_0_999,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = X16 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))) ) ) ) ),
c_0_144 ).
fof(c_0_1000,plain,
! [X20,X17,X9] :
( is_pname(X20)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> ~ ! [X21] :
( X20 = hAPP_H1344248906_pname(X17,X21)
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_1001,axiom,
! [X19,X17,X9] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
<=> ? [X27] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X9))
& X19 = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X27) ) ) ),
c_0_146 ).
fof(c_0_1002,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X25))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X15),X25))) ) ),
c_0_147 ).
fof(c_0_1003,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X25))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X15),X25))) ) ),
c_0_148 ).
fof(c_0_1004,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X26))) ) ),
c_0_149 ).
fof(c_0_1005,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X26))) ) ),
c_0_150 ).
fof(c_0_1006,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X25))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X15),X25))) ) ),
c_0_151 ).
fof(c_0_1007,axiom,
! [X20,X25,X12,X15] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X25))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X15),X25))) ) ),
c_0_152 ).
fof(c_0_1008,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X26))) ) ),
c_0_153 ).
fof(c_0_1009,axiom,
! [X19,X26,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X22),X26))) ) ),
c_0_154 ).
fof(c_0_1010,plain,
! [X20,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> ~ ! [X21] :
( is_pname(X21)
=> ( X20 = hAPP_p1842370726_state(X17,X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_1011,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
<=> ? [X27] :
( is_fun_pname_bool(X27)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X9))
& X19 = hAPP_f631639356e_bool(image_275883510_state(X17),X27) ) ),
c_0_156 ).
fof(c_0_1012,axiom,
! [X23,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
<=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& X23 = hAPP_p1842370726_state(X17,X21) ) ),
c_0_157 ).
fof(c_0_1013,axiom,
! [X67,X92,X77,X84,X85] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X77),X84),X85))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X67),X85),X92))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X77,X67)),X84),X92)) ) ),
c_0_158 ).
fof(c_0_1014,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X23)) ) ),
c_0_159 ).
fof(c_0_1015,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18)),X23))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X23)) ) ),
c_0_160 ).
fof(c_0_1016,plain,
! [X12,X20,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X16))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16)) ) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_1017,plain,
! [X12,X20,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),X16))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16)) ) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_1018,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),X19))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ) ),
c_0_163 ).
fof(c_0_1019,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),X19))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
c_0_164 ).
fof(c_0_1020,axiom,
! [X12,X22,X26] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X26))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X22)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X26))) ),
c_0_165 ).
fof(c_0_1021,axiom,
! [X12,X22,X26] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X26))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X22)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X26))) ),
c_0_166 ).
fof(c_0_1022,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X16)) ) ),
c_0_167 ).
fof(c_0_1023,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20)),X16)) ) ),
c_0_168 ).
fof(c_0_1024,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),X16)) ) ),
c_0_169 ).
fof(c_0_1025,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X18),X23)),X16)) ) ),
c_0_170 ).
fof(c_0_1026,axiom,
! [X19,X9,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X22))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),X22)) ) ),
c_0_171 ).
fof(c_0_1027,axiom,
! [X19,X9,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),X22)) ) ),
c_0_172 ).
fof(c_0_1028,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),hAPP_f1970439265l_bool(collec111528142e_bool,X14))))
<=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
& hBOOL(hAPP_f1760790145l_bool(X14,X16)) ) ),
c_0_173 ).
fof(c_0_1029,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),hAPP_f559147733l_bool(collec1974731493e_bool,X14))))
<=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
& hBOOL(hAPP_f1664156314l_bool(X14,X16)) ) ),
c_0_174 ).
fof(c_0_1030,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(collec727977250_state,X14))))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
& hBOOL(hAPP_H513860823e_bool(X14,X16)) ) ),
c_0_175 ).
fof(c_0_1031,axiom,
! [X16,X9,X14] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(collect_pname,X14))))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
& hBOOL(hAPP_pname_bool(X14,X16)) ) ),
c_0_176 ).
fof(c_0_1032,axiom,
! [X9,X12,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))),X19),
c_0_177 ).
fof(c_0_1033,axiom,
! [X16,X14,X9] :
( ! [X21] :
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X21),set_com(X9)))
=> hBOOL(hAPP_com_bool(X14,X21)) )
=> ( X9 = some_com(X16)
=> hBOOL(hAPP_com_bool(X14,X16)) ) ),
c_0_178 ).
fof(c_0_1034,axiom,
! [X17,X50,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),X50),X16))
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
c_0_179 ).
fof(c_0_1035,axiom,
! [X17,X50,X21] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),X50),X21))
<=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X17,X21)),hAPP_H513860823e_bool(X50,X21))) ),
c_0_180 ).
fof(c_0_1036,axiom,
! [X4,X3,X7] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),bot_bo1055319631e_bool)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),X4))) ) ),
c_0_181 ).
fof(c_0_1037,axiom,
! [X9,X19,X22] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X9)) ),
c_0_182 ).
fof(c_0_1038,axiom,
! [X9,X19,X22] :
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X22))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X9)) ),
c_0_183 ).
fof(c_0_1039,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
c_0_184 ).
fof(c_0_1040,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
c_0_185 ).
fof(c_0_1041,plain,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_1042,plain,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_1043,plain,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X19)))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_1044,plain,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X19)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_1045,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),X16)) ),
c_0_190 ).
fof(c_0_1046,axiom,
! [X12,X20,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),X16)) ),
c_0_191 ).
fof(c_0_1047,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X16))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)),X16)) ),
c_0_192 ).
fof(c_0_1048,axiom,
! [X20,X12,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X16))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)),X16)) ),
c_0_193 ).
fof(c_0_1049,plain,
! [X14,X12] :
( ( hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X12))),X14)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X14,X12))
=> hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X12))),X14)) = bot_bo1055319631e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_1050,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X12))),X14)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X14,X12))
=> hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X12))),X14)) = bot_bo1325454745l_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_1051,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X12))),X14)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X12))),X14)) = bot_bo1649642514l_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_1052,plain,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X12))),X14)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X12))),X14)) = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_1053,axiom,
! [X3,X7,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),X4)))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X7),bot_bo1055319631e_bool)))
& hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
c_0_198 ).
fof(c_0_1054,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
c_0_199 ).
fof(c_0_1055,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
c_0_200 ).
fof(c_0_1056,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23))) ) ),
c_0_201 ).
fof(c_0_1057,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23))) ) ),
c_0_202 ).
fof(c_0_1058,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20))) ) ),
c_0_203 ).
fof(c_0_1059,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20))) ) ),
c_0_204 ).
fof(c_0_1060,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23)) ) ),
c_0_205 ).
fof(c_0_1061,axiom,
! [X16,X18,X23] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),X23)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23)) ) ),
c_0_206 ).
fof(c_0_1062,axiom,
! [X19,X22,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) ) ),
c_0_207 ).
fof(c_0_1063,axiom,
! [X19,X22,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) ) ),
c_0_208 ).
fof(c_0_1064,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
& hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
c_0_209 ).
fof(c_0_1065,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
c_0_210 ).
fof(c_0_1066,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19))) ) ),
c_0_211 ).
fof(c_0_1067,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19))) ) ),
c_0_212 ).
fof(c_0_1068,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
c_0_213 ).
fof(c_0_1069,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
c_0_214 ).
fof(c_0_1070,axiom,
! [X18,X23,X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)),X16) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X16)),
c_0_215 ).
fof(c_0_1071,axiom,
! [X18,X23,X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),X16) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X16)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X16)),
c_0_216 ).
fof(c_0_1072,axiom,
! [X19,X22,X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X9)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X9)),
c_0_217 ).
fof(c_0_1073,axiom,
! [X19,X22,X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X9)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X9)),
c_0_218 ).
fof(c_0_1074,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19))) ),
c_0_219 ).
fof(c_0_1075,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X19))) ),
c_0_220 ).
fof(c_0_1076,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ) ),
c_0_221 ).
fof(c_0_1077,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ) ),
c_0_222 ).
fof(c_0_1078,plain,
! [X16,X12,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X12),X20)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20)) ) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_1079,plain,
! [X16,X12,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X12),X20)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20)) ) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_1080,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ),
c_0_225 ).
fof(c_0_1081,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ),
c_0_226 ).
fof(c_0_1082,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9)) ),
c_0_227 ).
fof(c_0_1083,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9)) ),
c_0_228 ).
fof(c_0_1084,plain,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_1085,plain,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)))
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_1086,plain,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19))) ) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_1087,plain,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19))) ) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_1088,axiom,
! [X19,X9,X17,X11] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( X19 != bot_bo844097828e_bool
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ) ) ) ),
c_0_233 ).
fof(c_0_1089,axiom,
! [X19,X9,X17,X11] :
( ( is_fun1661590463l_bool(X19)
& is_fun1661590463l_bool(X9) )
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( X19 != bot_bo1649642514l_bool
=> ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X9),X19) = bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ) ) ) ),
c_0_234 ).
fof(c_0_1090,axiom,
! [X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
c_0_235 ).
fof(c_0_1091,plain,
! [X19,X12,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22) ) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_1092,plain,
! [X19,X12,X22] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22) ) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_1093,axiom,
! [X19,X12,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) ),
c_0_238 ).
fof(c_0_1094,axiom,
! [X19,X12,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22)) ),
c_0_239 ).
fof(c_0_1095,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( X19 != bot_bo1055319631e_bool
=> ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ) ) ),
c_0_240 ).
fof(c_0_1096,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( X19 != bot_bo1325454745l_bool
=> ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X9),X19) = bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ) ) ),
c_0_241 ).
fof(c_0_1097,axiom,
! [X12,X19] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X19) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12))),X19),
c_0_242 ).
fof(c_0_1098,axiom,
! [X12,X19] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X19) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12))),X19),
c_0_243 ).
fof(c_0_1099,axiom,
! [X12,X19] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12))),X19),
c_0_244 ).
fof(c_0_1100,axiom,
! [X12,X19] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12))),X19),
c_0_245 ).
fof(c_0_1101,axiom,
! [X9,X16] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)))
=> ( X9 = bot_bo844097828e_bool
| X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool) ) ) ),
c_0_246 ).
fof(c_0_1102,axiom,
! [X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X9)))) ),
c_0_247 ).
fof(c_0_1103,axiom,
! [X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X9)))) ),
c_0_248 ).
fof(c_0_1104,axiom,
! [X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X9)))) ),
c_0_249 ).
fof(c_0_1105,axiom,
! [X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X9)))) ),
c_0_250 ).
fof(c_0_1106,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X17,X16)),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ),
c_0_251 ).
fof(c_0_1107,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X17,X16)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ),
c_0_252 ).
fof(c_0_1108,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool))) = X9 ) ),
c_0_253 ).
fof(c_0_1109,axiom,
! [X9,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)))
=> ( X9 = bot_bo1055319631e_bool
| X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool) ) ),
c_0_254 ).
fof(c_0_1110,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))) = X9 ),
c_0_255 ).
fof(c_0_1111,axiom,
! [X12,X20,X15,X25] :
( ( is_pname(X12)
& is_pname(X20)
& is_pname(X15)
& is_pname(X25) )
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X25),bot_bo844097828e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ) ),
c_0_256 ).
fof(c_0_1112,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X18)),
c_0_257 ).
fof(c_0_1113,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X18)),
c_0_258 ).
fof(c_0_1114,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X18)),
c_0_259 ).
fof(c_0_1115,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X18)),
c_0_260 ).
fof(c_0_1116,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X16)),
c_0_261 ).
fof(c_0_1117,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X16)),
c_0_262 ).
fof(c_0_1118,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),X16)),
c_0_263 ).
fof(c_0_1119,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18)),X16)),
c_0_264 ).
fof(c_0_1120,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X9)),
c_0_265 ).
fof(c_0_1121,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X9)),
c_0_266 ).
fof(c_0_1122,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),X19)),
c_0_267 ).
fof(c_0_1123,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),X19)),
c_0_268 ).
fof(c_0_1124,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
c_0_269 ).
fof(c_0_1125,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X23)),
c_0_270 ).
fof(c_0_1126,axiom,
! [X12,X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),
c_0_271 ).
fof(c_0_1127,axiom,
! [X12,X9,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)),
c_0_272 ).
fof(c_0_1128,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X22)),
c_0_273 ).
fof(c_0_1129,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X22)),
c_0_274 ).
fof(c_0_1130,axiom,
! [X19,X9] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X19)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ),
c_0_275 ).
fof(c_0_1131,axiom,
! [X19,X9] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X19)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
c_0_276 ).
fof(c_0_1132,axiom,
! [X19,X9,X17,X11] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( X19 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X9)),hAPP_f1297739591_pname(X11,X19)) ) ) ) ) ) ),
c_0_277 ).
fof(c_0_1133,axiom,
! [X19,X9,X17,X11] :
( ( is_fun1661590463l_bool(X19)
& is_fun1661590463l_bool(X9) )
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( X19 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X9),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X9)),hAPP_f674760225e_bool(X11,X19)) ) ) ) ) ) ),
c_0_278 ).
fof(c_0_1134,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)))
<=> X20 = X12 ) ),
c_0_279 ).
fof(c_0_1135,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)))
=> X20 = X12 ) ),
c_0_280 ).
fof(c_0_1136,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
c_0_281 ).
fof(c_0_1137,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X16)),hAPP_pname_bool(X50,X16))) ),
c_0_282 ).
fof(c_0_1138,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X17,X16)),hAPP_H513860823e_bool(X50,X16))) ),
c_0_283 ).
fof(c_0_1139,axiom,
! [X16,X17,X50] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X50))
=> hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X17,X16)),hAPP_pname_bool(X50,X16))) ),
c_0_284 ).
fof(c_0_1140,axiom,
! [X19,X9,X17,X11] :
( is_fun_pname_bool(X19)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X19 != bot_bo844097828e_bool
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,hAPP_f1297739591_pname(X11,X19)),hAPP_f1297739591_pname(X11,X9)) = hAPP_f1297739591_pname(X11,X9) ) ) ) ) ),
c_0_285 ).
fof(c_0_1141,axiom,
! [X19,X9,X17,X11] :
( is_fun1661590463l_bool(X19)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X19 != bot_bo1649642514l_bool
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,hAPP_f674760225e_bool(X11,X19)),hAPP_f674760225e_bool(X11,X9)) = hAPP_f674760225e_bool(X11,X9) ) ) ) ) ),
c_0_286 ).
fof(c_0_1142,plain,
! [X15,X20,X88] :
( ~ hBOOL(hAPP_state_bool(X20,X88))
=> hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X20,X15)),X88),X88)) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_1143,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X19 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X19)),hAPP_f2143211163_state(X11,X9)) = hAPP_f2143211163_state(X11,X9) ) ) ) ),
c_0_288 ).
fof(c_0_1144,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X19 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X19)),hAPP_f772567431e_bool(X11,X9)) = hAPP_f772567431e_bool(X11,X9) ) ) ) ),
c_0_289 ).
fof(c_0_1145,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(X14,X21))
=> hBOOL(hAPP_f1760790145l_bool(X13,X21)) )
=> hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13))) ),
c_0_290 ).
fof(c_0_1146,axiom,
! [X13,X14] :
( ! [X21] :
( is_fun_pname_bool(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(X14,X21))
=> hBOOL(hAPP_f1664156314l_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13))) ),
c_0_291 ).
fof(c_0_1147,axiom,
! [X13,X14] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13))) ),
c_0_292 ).
fof(c_0_1148,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13))) ),
c_0_293 ).
fof(c_0_1149,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( X19 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,hAPP_f2143211163_state(X11,X9)),hAPP_f2143211163_state(X11,X19)) ) ) ) ) ),
c_0_294 ).
fof(c_0_1150,axiom,
! [X19,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( X19 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,hAPP_f772567431e_bool(X11,X9)),hAPP_f772567431e_bool(X11,X19)) ) ) ) ) ),
c_0_295 ).
fof(c_0_1151,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X12))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20))) ),
c_0_296 ).
fof(c_0_1152,axiom,
! [X20,X16,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X12))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20))) ),
c_0_297 ).
fof(c_0_1153,axiom,
! [X12,X16,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20))) ),
c_0_298 ).
fof(c_0_1154,axiom,
! [X12,X16,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X20))) ),
c_0_299 ).
fof(c_0_1155,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
c_0_300 ).
fof(c_0_1156,axiom,
! [X19,X15,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
c_0_301 ).
fof(c_0_1157,axiom,
! [X9,X15,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
c_0_302 ).
fof(c_0_1158,axiom,
! [X9,X15,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
c_0_303 ).
fof(c_0_1159,plain,
! [X9,X15,X19] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_1160,plain,
! [X9,X15,X19] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9)) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_1161,axiom,
! [X20,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
c_0_306 ).
fof(c_0_1162,axiom,
! [X20,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
c_0_307 ).
fof(c_0_1163,axiom,
! [X20,X12,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
c_0_308 ).
fof(c_0_1164,axiom,
! [X20,X12,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
c_0_309 ).
fof(c_0_1165,plain,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X19))) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_1166,plain,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X19))) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_1167,axiom,
! [X93,X94,X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X94),X86),X87))
=> ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X94),X86),X93))
=> X93 = X87 ) ),
c_0_312 ).
fof(c_0_1168,axiom,
! [X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)))
<=> X20 = X12 ),
c_0_313 ).
fof(c_0_1169,axiom,
! [X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)))
=> X20 = X12 ),
c_0_314 ).
fof(c_0_1170,plain,
! [X19,X12,X9] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) ) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_1171,plain,
! [X19,X12,X9] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) ) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_1172,axiom,
! [X19,X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19)) ),
c_0_317 ).
fof(c_0_1173,axiom,
! [X19,X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19)) ),
c_0_318 ).
fof(c_0_1174,axiom,
! [X12,X20,X15,X25] :
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X25),bot_bo1055319631e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ),
c_0_319 ).
fof(c_0_1175,plain,
! [X9,X19,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16))
=> ( ~ hBOOL(hAPP_H513860823e_bool(X9,X16))
=> hBOOL(hAPP_H513860823e_bool(X19,X16)) ) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_1176,plain,
! [X16,X9] :
( is_fun_pname_bool(X9)
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X9 ) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_1177,axiom,
! [X16,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ~ ! [X41] :
( is_fun_pname_bool(X41)
=> ( X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X41)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X41)) ) ) ) ),
c_0_322 ).
fof(c_0_1178,plain,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> ? [X41] :
( is_fun_pname_bool(X41)
& X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X41)
& ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X41)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_1179,plain,
! [X16,X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1626890877e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> ( X9 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_1180,plain,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( X9 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_1181,plain,
! [X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X9 ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_1182,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ~ ! [X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X41)
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X41)) ) ),
c_0_327 ).
fof(c_0_1183,plain,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> ? [X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X41)
& ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X41)) ) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_1184,plain,
! [X16,X9,X17,X11] :
( hBOOL(finite132673334e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> ( X9 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_1185,plain,
! [X16,X9,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( X9 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_1186,axiom,
! [X18,X9,X16] :
( ( is_pname(X18)
& is_pname(X16) )
=> ( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_pname_bool(X9,X16)) ) ) ),
c_0_331 ).
fof(c_0_1187,axiom,
! [X14,X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X14)),X13)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13)),
c_0_332 ).
fof(c_0_1188,axiom,
! [X14,X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X14)),X13)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13)),
c_0_333 ).
fof(c_0_1189,axiom,
! [X14,X13] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X14)),X13)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13)),
c_0_334 ).
fof(c_0_1190,axiom,
! [X14,X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X14)),X13)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13)),
c_0_335 ).
fof(c_0_1191,axiom,
! [X14,X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X14)),X13)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X14)),hAPP_f921536533e_bool(collec727977250_state,X13)),
c_0_336 ).
fof(c_0_1192,axiom,
! [X14,X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X14)),X13)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X14)),hAPP_f1970439265l_bool(collec111528142e_bool,X13)),
c_0_337 ).
fof(c_0_1193,axiom,
! [X14,X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X14)),X13)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X14)),hAPP_f559147733l_bool(collec1974731493e_bool,X13)),
c_0_338 ).
fof(c_0_1194,axiom,
! [X14,X13] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X14)),X13)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X14)),hAPP_f759274231e_bool(collect_pname,X13)),
c_0_339 ).
fof(c_0_1195,axiom,
! [X9,X19] :
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
=> ! [X24] :
( is_pname(X24)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X19))
=> X21 != X24 ) ) ) ) ),
c_0_340 ).
fof(c_0_1196,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X23))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X23)) ) ),
c_0_341 ).
fof(c_0_1197,axiom,
! [X23,X16,X18] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X23))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X23)) ) ),
c_0_342 ).
fof(c_0_1198,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X18))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X16)) ) ),
c_0_343 ).
fof(c_0_1199,axiom,
! [X23,X18,X16] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X18))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X16)) ) ),
c_0_344 ).
fof(c_0_1200,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
c_0_345 ).
fof(c_0_1201,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
c_0_346 ).
fof(c_0_1202,axiom,
! [X19,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
c_0_347 ).
fof(c_0_1203,axiom,
! [X19,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
c_0_348 ).
fof(c_0_1204,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19)) ) ),
c_0_349 ).
fof(c_0_1205,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19)) ) ),
c_0_350 ).
fof(c_0_1206,axiom,
! [X22,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X22))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X22)) ) ),
c_0_351 ).
fof(c_0_1207,axiom,
! [X22,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X22))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X22)) ) ),
c_0_352 ).
fof(c_0_1208,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),X19)) ) ),
c_0_353 ).
fof(c_0_1209,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),X19)) ) ),
c_0_354 ).
fof(c_0_1210,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f631639356e_bool(image_275883510_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
c_0_355 ).
fof(c_0_1211,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f280588268e_bool(image_636285904_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
c_0_356 ).
fof(c_0_1212,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f674760225e_bool(image_1283814551_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
c_0_357 ).
fof(c_0_1213,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f772567431e_bool(image_774712299_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
c_0_358 ).
fof(c_0_1214,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f780887186e_bool(image_936554724_state(X17),X9)))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19)) ) ),
c_0_359 ).
fof(c_0_1215,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(image_pname_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
c_0_360 ).
fof(c_0_1216,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f1874607724l_bool(image_505480954e_bool(X17),X9)))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19)) ) ),
c_0_361 ).
fof(c_0_1217,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f434788991l_bool(image_47868345e_bool(X17),X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
c_0_362 ).
fof(c_0_1218,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
c_0_363 ).
fof(c_0_1219,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X19),hAPP_f854625363l_bool(image_277167759e_bool(X17),X9)))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19)) ) ),
c_0_364 ).
fof(c_0_1220,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),hAPP_f748867288l_bool(image_1259634916e_bool(X17),X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
c_0_365 ).
fof(c_0_1221,axiom,
! [X18,X9,X16] :
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_H513860823e_bool(X9,X16)) ) ),
c_0_366 ).
fof(c_0_1222,axiom,
! [X9,X19] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = bot_bo1055319631e_bool
<=> ! [X21] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
=> ! [X24] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X19))
=> X21 != X24 ) ) ),
c_0_367 ).
fof(c_0_1223,axiom,
! [X20,X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( X20 = hAPP_p1842370726_state(X17,X16)
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ) ),
c_0_368 ).
fof(c_0_1224,axiom,
! [X20,X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( X20 = hAPP_H1344248906_pname(X17,X16)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ) ),
c_0_369 ).
fof(c_0_1225,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_p1842370726_state(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f631639356e_bool(image_275883510_state(X17),X9))) ) ),
c_0_370 ).
fof(c_0_1226,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_H1344248906_pname(X17,X16)
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9))) ) ),
c_0_371 ).
fof(c_0_1227,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ) ),
c_0_372 ).
fof(c_0_1228,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ) ),
c_0_373 ).
fof(c_0_1229,axiom,
! [X11,X3] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X11),X3)))
<=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ) ),
c_0_374 ).
fof(c_0_1230,axiom,
! [X11,X3] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X11),X3)))
<=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ) ),
c_0_375 ).
fof(c_0_1231,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9)))
<=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ),
c_0_376 ).
fof(c_0_1232,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9)))
<=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ),
c_0_377 ).
fof(c_0_1233,axiom,
! [X12,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X9)))
<=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ),
c_0_378 ).
fof(c_0_1234,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X9)))
<=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ),
c_0_379 ).
fof(c_0_1235,plain,
! [X19,X12,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X22))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X22) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_1236,plain,
! [X19,X12,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X22))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X22) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_1237,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X16),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) = hAPP_f772567431e_bool(X11,X9) ) ) ),
c_0_382 ).
fof(c_0_1238,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) = hAPP_f674760225e_bool(X11,X9) ) ) ),
c_0_383 ).
fof(c_0_1239,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) = hAPP_f2143211163_state(X11,X9) ) ) ),
c_0_384 ).
fof(c_0_1240,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) = hAPP_f1297739591_pname(X11,X9) ) ) ),
c_0_385 ).
fof(c_0_1241,axiom,
! [X12,X20,X15] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)),X15) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X15)),
c_0_386 ).
fof(c_0_1242,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),
c_0_387 ).
fof(c_0_1243,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)),X23) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)),
c_0_388 ).
fof(c_0_1244,axiom,
! [X12,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),
c_0_389 ).
fof(c_0_1245,axiom,
! [X12,X19,X22] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X22)),
c_0_390 ).
fof(c_0_1246,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)),
c_0_391 ).
fof(c_0_1247,plain,
! [X19,X16,X9] :
( ( is_fun_pname_bool(X19)
& is_fun_pname_bool(X9) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X19))
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X19)
<=> X9 = X19 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_1248,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9),
c_0_393 ).
fof(c_0_1249,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9),
c_0_394 ).
fof(c_0_1250,axiom,
! [X66] : hAPP_f2143211163_state(the_el23965208_state,X66) = hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X66)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))),
c_0_395 ).
fof(c_0_1251,axiom,
! [X66] : hAPP_f1297739591_pname(the_elem_pname,X66) = hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X66)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))),
c_0_396 ).
fof(c_0_1252,axiom,
! [X43,X44,X45,X46,X47,X48] :
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X43),X44),X45) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X46),X47),X48)
<=> ( X43 = X46
& X44 = X47
& X45 = X48 ) ),
c_0_397 ).
fof(c_0_1253,plain,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X19))
=> ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X19)
<=> X9 = X19 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_1254,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X17,X16)),hAPP_f631639356e_bool(image_275883510_state(X17),X9)) = hAPP_f631639356e_bool(image_275883510_state(X17),X9) ),
c_0_399 ).
fof(c_0_1255,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X17,X16)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)) = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9) ),
c_0_400 ).
fof(c_0_1256,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X11),X3))) ) ),
c_0_401 ).
fof(c_0_1257,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X11),X3))) ) ),
c_0_402 ).
fof(c_0_1258,axiom,
! [X3,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X11),X3))) ) ),
c_0_403 ).
fof(c_0_1259,axiom,
! [X3,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X11),X3))) ) ),
c_0_404 ).
fof(c_0_1260,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( X16 = X18
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16)) ) ) ),
c_0_405 ).
fof(c_0_1261,axiom,
! [X18,X16] :
( ( is_fun_pname_bool(X18)
& is_fun_pname_bool(X16) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> X16 = X18 ) ) ),
c_0_406 ).
fof(c_0_1262,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> X16 = X18 ) ) ),
c_0_407 ).
fof(c_0_1263,axiom,
! [X18,X16] :
( ( is_fun_pname_bool(X18)
& is_fun_pname_bool(X16) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> X16 = X18 ) ) ),
c_0_408 ).
fof(c_0_1264,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( X9 = X19
<=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ) ),
c_0_409 ).
fof(c_0_1265,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> X9 = X19 ) ) ),
c_0_410 ).
fof(c_0_1266,axiom,
! [X16,X9,X17,X11] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(finite1268145088e_bool(X17,X11))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( X9 != bot_bo1649642514l_bool
=> hAPP_f674760225e_bool(X11,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),X9)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X17,X16),hAPP_f674760225e_bool(X11,X9)) ) ) ) ),
c_0_411 ).
fof(c_0_1267,axiom,
! [X16,X9,X17,X11] :
( is_fun_pname_bool(X9)
=> ( hBOOL(finite89670078_pname(X17,X11))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( X9 != bot_bo844097828e_bool
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_pname_pname(hAPP_p1170154830_pname(X17,X16),hAPP_f1297739591_pname(X11,X9)) ) ) ) ),
c_0_412 ).
fof(c_0_1268,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite959343283e_bool(X17,X11))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> ( X9 != bot_bo1325454745l_bool
=> hAPP_f772567431e_bool(X11,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),X9)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X17,X16),hAPP_f772567431e_bool(X11,X9)) ) ) ),
c_0_413 ).
fof(c_0_1269,axiom,
! [X16,X9,X17,X11] :
( hBOOL(finite506823037_state(X17,X11))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> ( X9 != bot_bo1055319631e_bool
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_H563960305_state(hAPP_H521649881_state(X17,X16),hAPP_f2143211163_state(X11,X9)) ) ) ),
c_0_414 ).
fof(c_0_1270,axiom,
! [X17,X9,X19] : hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X17),X9)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)),
c_0_415 ).
fof(c_0_1271,axiom,
! [X16,X18] :
( X16 = X18
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16)) ) ),
c_0_416 ).
fof(c_0_1272,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> X16 = X18 ) ),
c_0_417 ).
fof(c_0_1273,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> X16 = X18 ) ),
c_0_418 ).
fof(c_0_1274,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> X16 = X18 ) ),
c_0_419 ).
fof(c_0_1275,axiom,
! [X9,X19] :
( X9 = X19
<=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
& hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ) ),
c_0_420 ).
fof(c_0_1276,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> X9 = X19 ) ),
c_0_421 ).
fof(c_0_1277,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X6),X3))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
c_0_422 ).
fof(c_0_1278,axiom,
! [X4,X3,X5] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X5))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X5))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
c_0_423 ).
fof(c_0_1279,plain,
! [X19,X12,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_1280,plain,
! [X19,X12,X9] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_1281,axiom,
! [X19,X9,X16] :
( hBOOL(hAPP_H513860823e_bool(X9,X16))
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
c_0_426 ).
fof(c_0_1282,axiom,
! [X9,X19,X16] :
( hBOOL(hAPP_H513860823e_bool(X19,X16))
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
c_0_427 ).
fof(c_0_1283,plain,
! [X9,X19,X16] :
( ( ~ hBOOL(hAPP_H513860823e_bool(X19,X16))
=> hBOOL(hAPP_H513860823e_bool(X9,X16)) )
=> hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),X16)) ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_1284,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
c_0_429 ).
fof(c_0_1285,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
c_0_430 ).
fof(c_0_1286,axiom,
! [X16,X18] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
c_0_431 ).
fof(c_0_1287,axiom,
! [X16,X18] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
c_0_432 ).
fof(c_0_1288,axiom,
! [X18,X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
c_0_433 ).
fof(c_0_1289,axiom,
! [X18,X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
c_0_434 ).
fof(c_0_1290,axiom,
! [X18,X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18))),
c_0_435 ).
fof(c_0_1291,axiom,
! [X18,X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18))),
c_0_436 ).
fof(c_0_1292,axiom,
! [X9,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),
c_0_437 ).
fof(c_0_1293,axiom,
! [X9,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),
c_0_438 ).
fof(c_0_1294,axiom,
! [X19,X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19))),
c_0_439 ).
fof(c_0_1295,axiom,
! [X19,X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19))),
c_0_440 ).
fof(c_0_1296,axiom,
! [X19,X12] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19))),
c_0_441 ).
fof(c_0_1297,axiom,
! [X19,X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19))),
c_0_442 ).
fof(c_0_1298,axiom,
! [X12,X19] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19))),
c_0_443 ).
fof(c_0_1299,axiom,
! [X12,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19))),
c_0_444 ).
fof(c_0_1300,axiom,
! [X17,X12,X19] : hAPP_f631639356e_bool(image_275883510_state(X17),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X17,X12)),hAPP_f631639356e_bool(image_275883510_state(X17),X19)),
c_0_445 ).
fof(c_0_1301,axiom,
! [X17,X12,X19] : hAPP_f1745235422e_bool(image_1925245338_pname(X17),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X17,X12)),hAPP_f1745235422e_bool(image_1925245338_pname(X17),X19)),
c_0_446 ).
fof(c_0_1302,axiom,
! [X20,X12,X15] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X15)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X15)),
c_0_447 ).
fof(c_0_1303,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
c_0_448 ).
fof(c_0_1304,axiom,
! [X16,X18,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X23)),
c_0_449 ).
fof(c_0_1305,axiom,
! [X9,X12,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X19)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)),
c_0_450 ).
fof(c_0_1306,axiom,
! [X9,X12,X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X19)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19)),
c_0_451 ).
fof(c_0_1307,axiom,
! [X9,X19,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X22)),
c_0_452 ).
fof(c_0_1308,axiom,
! [X16,X18,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X9)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)),
c_0_453 ).
fof(c_0_1309,axiom,
! [X16,X18,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X9)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)),
c_0_454 ).
fof(c_0_1310,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X9),X19))) ),
c_0_455 ).
fof(c_0_1311,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X9),X19))) ),
c_0_456 ).
fof(c_0_1312,axiom,
! [X19,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X9),X19))) ),
c_0_457 ).
fof(c_0_1313,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X9),X19))) ),
c_0_458 ).
fof(c_0_1314,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) )
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X11),X3))) ),
c_0_459 ).
fof(c_0_1315,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) )
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X11),X3))) ),
c_0_460 ).
fof(c_0_1316,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) )
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X11),X3))) ),
c_0_461 ).
fof(c_0_1317,axiom,
! [X3,X11] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) )
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X11),X3))) ),
c_0_462 ).
fof(c_0_1318,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9))) ),
c_0_463 ).
fof(c_0_1319,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9))) ),
c_0_464 ).
fof(c_0_1320,axiom,
! [X12,X9] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),X9))) ),
c_0_465 ).
fof(c_0_1321,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),X9))) ),
c_0_466 ).
fof(c_0_1322,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool)),X9),
c_0_467 ).
fof(c_0_1323,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool)),X9),
c_0_468 ).
fof(c_0_1324,axiom,
! [X13,X14] :
( ! [X21] :
( hBOOL(hAPP_H513860823e_bool(X14,X21))
=> hBOOL(hAPP_H513860823e_bool(X13,X21)) )
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13)) ),
c_0_469 ).
fof(c_0_1325,axiom,
! [X13,X14] :
( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_pname_bool(X14,X21))
=> hBOOL(hAPP_pname_bool(X13,X21)) ) )
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13)) ),
c_0_470 ).
fof(c_0_1326,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X15))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15)) ) ),
c_0_471 ).
fof(c_0_1327,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X15))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15)) ) ),
c_0_472 ).
fof(c_0_1328,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X20))
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X12)) ) ),
c_0_473 ).
fof(c_0_1329,axiom,
! [X15,X12,X20] :
( X12 = X20
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X20))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X12)) ) ),
c_0_474 ).
fof(c_0_1330,axiom,
! [X15,X12,X20] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X20))
=> ( X20 = X15
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),X15)) ) ),
c_0_475 ).
fof(c_0_1331,axiom,
! [X15,X12,X20] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X20))
=> ( X20 = X15
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),X15)) ) ),
c_0_476 ).
fof(c_0_1332,axiom,
! [X15,X20,X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X12))
=> ( X20 = X15
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X15),X12)) ) ),
c_0_477 ).
fof(c_0_1333,axiom,
! [X15,X20,X12] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X12))
=> ( X20 = X15
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X15),X12)) ) ),
c_0_478 ).
fof(c_0_1334,axiom,
! [X16,X14,X13] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13))
=> ( hBOOL(hAPP_H513860823e_bool(X14,X16))
=> hBOOL(hAPP_H513860823e_bool(X13,X16)) ) ),
c_0_479 ).
fof(c_0_1335,axiom,
! [X16,X14,X13] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13))
=> ( hBOOL(hAPP_pname_bool(X14,X16))
=> hBOOL(hAPP_pname_bool(X13,X16)) ) ),
c_0_480 ).
fof(c_0_1336,axiom,
! [X13,X14,X16] :
( hBOOL(hAPP_H513860823e_bool(X14,X16))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),X13))
=> hBOOL(hAPP_H513860823e_bool(X13,X16)) ) ),
c_0_481 ).
fof(c_0_1337,axiom,
! [X13,X14,X16] :
( hBOOL(hAPP_pname_bool(X14,X16))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X14),X13))
=> hBOOL(hAPP_pname_bool(X13,X16)) ) ),
c_0_482 ).
fof(c_0_1338,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
c_0_483 ).
fof(c_0_1339,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ) ),
c_0_484 ).
fof(c_0_1340,axiom,
! [X9,X19] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ) ),
c_0_485 ).
fof(c_0_1341,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
c_0_486 ).
fof(c_0_1342,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ) ),
c_0_487 ).
fof(c_0_1343,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X9)) ) ),
c_0_488 ).
fof(c_0_1344,axiom,
! [X9,X19] :
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X9),X19))
=> ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X9)) ) ),
c_0_489 ).
fof(c_0_1345,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ) ),
c_0_490 ).
fof(c_0_1346,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),bot_bo1055319631e_bool) ),
c_0_491 ).
fof(c_0_1347,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),bot_bo844097828e_bool) ),
c_0_492 ).
fof(c_0_1348,plain,
! [X9] :
( is_fun_pname_bool(X9)
=> ( X9 != bot_bo844097828e_bool
<=> ? [X21,X41] :
( is_pname(X21)
& is_fun_pname_bool(X41)
& X9 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X41)
& ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X41)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_493]) ).
fof(c_0_1349,axiom,
! [X12,X28] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28)))
=> ? [X40] : hAPP_p799580910on_com(X28,X12) = some_com(X40) ),
c_0_494 ).
fof(c_0_1350,plain,
! [X9] :
( X9 != bot_bo1055319631e_bool
<=> ? [X21,X41] :
( X9 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X41)
& ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X41)) ) ),
inference(fof_simplification,[status(thm)],[c_0_495]) ).
fof(c_0_1351,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X6))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
c_0_496 ).
fof(c_0_1352,axiom,
! [X67,X77] :
( hBOOL(hAPP_com_bool(wt,X77))
=> ( hBOOL(hAPP_com_bool(wt,X67))
=> hBOOL(hAPP_com_bool(wt,semi(X77,X67))) ) ),
c_0_497 ).
fof(c_0_1353,axiom,
! [X18,X16] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X18 ) ),
c_0_498 ).
fof(c_0_1354,axiom,
! [X16,X18] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X16 ) ),
c_0_499 ).
fof(c_0_1355,axiom,
! [X16,X18] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),X18) = X16 ) ),
c_0_500 ).
fof(c_0_1356,axiom,
! [X9,X19] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = X9 ) ),
c_0_501 ).
fof(c_0_1357,axiom,
! [X19,X9] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),X19) = X19 ) ),
c_0_502 ).
fof(c_0_1358,axiom,
! [X16,X18] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X18 ) ),
c_0_503 ).
fof(c_0_1359,axiom,
! [X16,X18] :
( is_fun_pname_bool(X18)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X18 ) ),
c_0_504 ).
fof(c_0_1360,axiom,
! [X18,X16] :
( is_fun_pname_bool(X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X16))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = X16 ) ),
c_0_505 ).
fof(c_0_1361,axiom,
! [X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
<=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X19 ) ),
c_0_506 ).
fof(c_0_1362,axiom,
! [X9,X19] :
( is_fun_pname_bool(X19)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X19 ) ),
c_0_507 ).
fof(c_0_1363,axiom,
! [X19,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9))
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = X9 ) ),
c_0_508 ).
fof(c_0_1364,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) = X9 ) ),
c_0_509 ).
fof(c_0_1365,axiom,
! [X4,X3] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ),
c_0_510 ).
fof(c_0_1366,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X18 ),
c_0_511 ).
fof(c_0_1367,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X16 ),
c_0_512 ).
fof(c_0_1368,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18) = X16 ),
c_0_513 ).
fof(c_0_1369,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = X9 ),
c_0_514 ).
fof(c_0_1370,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),X19) = X19 ),
c_0_515 ).
fof(c_0_1371,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X18 ),
c_0_516 ).
fof(c_0_1372,axiom,
! [X16,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X18 ),
c_0_517 ).
fof(c_0_1373,axiom,
! [X18,X16] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X16))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = X16 ),
c_0_518 ).
fof(c_0_1374,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
<=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X19 ),
c_0_519 ).
fof(c_0_1375,axiom,
! [X9,X19] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X19 ),
c_0_520 ).
fof(c_0_1376,axiom,
! [X19,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9))
=> hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = X9 ),
c_0_521 ).
fof(c_0_1377,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9))
=> hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) = X9 ),
c_0_522 ).
fof(c_0_1378,plain,
! [X67,X68] :
( hBOOL(hAPP_com_bool(wt,semi(X67,X68)))
=> ~ ( hBOOL(hAPP_com_bool(wt,X67))
=> ~ hBOOL(hAPP_com_bool(wt,X68)) ) ),
inference(fof_simplification,[status(thm)],[c_0_523]) ).
fof(c_0_1379,axiom,
! [X20,X15] :
( hBOOL(hAPP_com_bool(wt,while(X20,X15)))
=> hBOOL(hAPP_com_bool(wt,X15)) ),
c_0_524 ).
fof(c_0_1380,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))
<=> ( X12 = bot_bo844097828e_bool
| ? [X36,X31] :
( is_fun_pname_bool(X36)
& is_pname(X31)
& X12 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X31),X36)
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X36)) ) ) ) ),
c_0_525 ).
fof(c_0_1381,axiom,
! [X12] :
( is_fun1661590463l_bool(X12)
=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))
<=> ( X12 = bot_bo1649642514l_bool
| ? [X36,X31] :
( is_fun1661590463l_bool(X36)
& is_fun_pname_bool(X31)
& X12 = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X31),X36)
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X36)) ) ) ) ),
c_0_526 ).
fof(c_0_1382,axiom,
! [X33,X97,X100] : hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X33),X97),X100) = hAPP_H521649881_state(hAPP_p964374716_state(X33,X100),hAPP_p1842370726_state(X97,X100)),
c_0_527 ).
fof(c_0_1383,axiom,
! [X33,X97,X100] : hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X33),X97),X100) = hAPP_c408625258_state(hAPP_p2032835427_state(X33,X100),hAPP_pname_com(X97,X100)),
c_0_528 ).
fof(c_0_1384,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X33),X97),X100) = hAPP_f588507005_state(hAPP_p1712839024_state(X33,X100),hAPP_p1637813682e_bool(X97,X100)),
c_0_529 ).
fof(c_0_1385,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X33),X97),X100) = hAPP_H563960305_state(hAPP_p80247908_state(X33,X100),hAPP_p1842370726_state(X97,X100)),
c_0_530 ).
fof(c_0_1386,axiom,
! [X33,X97,X100] : hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X33),X97),X100) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X33,X100),hAPP_p799580910on_com(X97,X100)),
c_0_531 ).
fof(c_0_1387,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_f1508101115l_bool(X33,X100),hAPP_f1760790145l_bool(X97,X100)),
c_0_532 ).
fof(c_0_1388,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_H226398757l_bool(X33,X100),hAPP_H513860823e_bool(X97,X100)),
c_0_533 ).
fof(c_0_1389,axiom,
! [X33,X97,X100] : hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X33),X97),X100) = hAPP_o356497025on_com(hAPP_p1086945780on_com(X33,X100),hAPP_p799580910on_com(X97,X100)),
c_0_534 ).
fof(c_0_1390,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_f1476298914l_bool(X33,X100),hAPP_f1664156314l_bool(X97,X100)),
c_0_535 ).
fof(c_0_1391,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_s58564346l_bool(X33,X100),hAPP_state_bool(X97,X100)),
c_0_536 ).
fof(c_0_1392,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_p393069232l_bool(X33,X100),hAPP_pname_bool(X97,X100)),
c_0_537 ).
fof(c_0_1393,axiom,
! [X16,X62] :
( is_option_pname(X62)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),set_pname(X62)))
<=> X62 = some_pname(X16) ) ),
c_0_538 ).
fof(c_0_1394,axiom,
! [X86,X87] :
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X86),X87))
=> X87 = X86 ),
c_0_539 ).
fof(c_0_1395,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),X9))
<=> hBOOL(hAPP_H513860823e_bool(X9,X16)) ),
c_0_540 ).
fof(c_0_1396,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
<=> hBOOL(hAPP_pname_bool(X9,X16)) ),
c_0_541 ).
fof(c_0_1397,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X10),X11))) ),
c_0_542 ).
fof(c_0_1398,axiom,
! [X10,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X10),X11))) ),
c_0_543 ).
fof(c_0_1399,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X10),X11))) ),
c_0_544 ).
fof(c_0_1400,axiom,
! [X10,X11] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X10),X11))) ),
c_0_545 ).
fof(c_0_1401,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X10),X11))) ),
c_0_546 ).
fof(c_0_1402,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X10),X11))) ),
c_0_547 ).
fof(c_0_1403,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X10),X11))) ),
c_0_548 ).
fof(c_0_1404,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X10),X11))) ),
c_0_549 ).
fof(c_0_1405,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X10),X11))) ),
c_0_550 ).
fof(c_0_1406,axiom,
! [X12,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20),
c_0_551 ).
fof(c_0_1407,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18),
c_0_552 ).
fof(c_0_1408,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18),
c_0_553 ).
fof(c_0_1409,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19),
c_0_554 ).
fof(c_0_1410,axiom,
! [X16,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),X9),
c_0_555 ).
fof(c_0_1411,axiom,
! [X16,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),X9),
c_0_556 ).
fof(c_0_1412,axiom,
! [X16,X62] :
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X16),set_com(X62)))
<=> X62 = some_com(X16) ),
c_0_557 ).
fof(c_0_1413,axiom,
! [X16,X62] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),set_Ho1831989999_state(X62)))
<=> X62 = some_H1133819688_state(X16) ),
c_0_558 ).
fof(c_0_1414,axiom,
! [X21] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X21))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),bot_bo1055319631e_bool)) ),
c_0_559 ).
fof(c_0_1415,axiom,
! [X21] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X21))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),bot_bo844097828e_bool)) ),
c_0_560 ).
fof(c_0_1416,axiom,
! [X16,X17,X11] :
( is_pname(X16)
=> ( hBOOL(finite1282449217_pname(X17,X11))
=> hAPP_f1297739591_pname(X11,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X16 ) ),
c_0_561 ).
fof(c_0_1417,axiom,
! [X33] :
( hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X33)))
=> ~ ! [X34] : hAPP_p799580910on_com(body,X33) != some_com(X34) ),
c_0_562 ).
fof(c_0_1418,plain,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
<=> X9 = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_563]) ).
fof(c_0_1419,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) )
<=> X9 != bot_bo844097828e_bool ) ),
c_0_564 ).
fof(c_0_1420,plain,
! [X98,X99] :
( ( is_fun_pname_bool(X98)
& is_fun_pname_bool(X99) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X98),X99))
| X98 = X99 ) ),
inference(fof_simplification,[status(thm)],[c_0_565]) ).
fof(c_0_1421,plain,
! [X98,X99] :
( ( is_pname(X98)
& is_pname(X99) )
=> ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X98),X99))
| X98 = X99 ) ),
inference(fof_simplification,[status(thm)],[c_0_566]) ).
fof(c_0_1422,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
c_0_567 ).
fof(c_0_1423,axiom,
! [X16,X17,X11] :
( hBOOL(finite774711482_state(X17,X11))
=> hAPP_f2143211163_state(X11,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X16 ),
c_0_568 ).
fof(c_0_1424,plain,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97))
| ~ hBOOL(X33)
| hBOOL(X97) ),
inference(fof_simplification,[status(thm)],[c_0_569]) ).
fof(c_0_1425,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X12))
<=> ( X12 = bot_bo1055319631e_bool
| ? [X36,X31] :
( X12 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),X36)
& hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X36)) ) ) ),
c_0_570 ).
fof(c_0_1426,axiom,
! [X12] :
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X12))
<=> ( X12 = bot_bo1325454745l_bool
| ? [X36,X31] :
( X12 = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X31),X36)
& hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X36)) ) ) ),
c_0_571 ).
fof(c_0_1427,axiom,
! [X18] :
~ ! [X80,X81,X82] : X18 != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X80),X81),X82),
c_0_572 ).
fof(c_0_1428,plain,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97))
| hBOOL(X33)
| hBOOL(X97) ),
inference(fof_simplification,[status(thm)],[c_0_573]) ).
fof(c_0_1429,axiom,
! [X12,X20] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),bot_bo844097828e_bool)
=> X12 = X20 ) ),
c_0_574 ).
fof(c_0_1430,axiom,
! [X33,X97,X100] : hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X33),X97),X100) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X33,X100),X97),
c_0_575 ).
fof(c_0_1431,axiom,
! [X33,X97,X100] : hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X33),X97),X100) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X33,X100),X97),
c_0_576 ).
fof(c_0_1432,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X33),X97),X100) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X33,X100),X97),
c_0_577 ).
fof(c_0_1433,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X33,X100),X97),
c_0_578 ).
fof(c_0_1434,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X33,X100),X97),
c_0_579 ).
fof(c_0_1435,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X33,X100),X97),
c_0_580 ).
fof(c_0_1436,axiom,
! [X33,X97,X100] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X33),X97),X100) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X33,X100),X97),
c_0_581 ).
fof(c_0_1437,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X33,X100),X97),
c_0_582 ).
fof(c_0_1438,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X33),X97),X100) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X33,X100),X97),
c_0_583 ).
fof(c_0_1439,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_f1745235422e_bool(X33,X100),X97),
c_0_584 ).
fof(c_0_1440,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X33,X100),X97),
c_0_585 ).
fof(c_0_1441,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X33,X100),X97),
c_0_586 ).
fof(c_0_1442,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X33),X97),X100) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X33,X100),X97),
c_0_587 ).
fof(c_0_1443,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X33),X97),X100) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X33,X100),X97),
c_0_588 ).
fof(c_0_1444,axiom,
! [X33,X97,X100] : hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X33),X97),X100) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X33,X100),X97),
c_0_589 ).
fof(c_0_1445,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X33,X100),X97),
c_0_590 ).
fof(c_0_1446,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_H1632039476e_bool(X33,X100),X97),
c_0_591 ).
fof(c_0_1447,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X33),X97),X100) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X33,X100),X97),
c_0_592 ).
fof(c_0_1448,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_f759274231e_bool(X33,X100),X97),
c_0_593 ).
fof(c_0_1449,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X33),X97),X100) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X33,X100),X97),
c_0_594 ).
fof(c_0_1450,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X33),X97),X100) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X33,X100),X97),
c_0_595 ).
fof(c_0_1451,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X33),X97),X100) = hAPP_state_bool(hAPP_s1806633685e_bool(X33,X100),X97),
c_0_596 ).
fof(c_0_1452,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X33),X97),X100) = hAPP_pname_bool(hAPP_p61793385e_bool(X33,X100),X97),
c_0_597 ).
fof(c_0_1453,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X33),X97),X100) = hAPP_bool_bool(hAPP_s58564346l_bool(X33,X100),X97),
c_0_598 ).
fof(c_0_1454,plain,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97))
| hBOOL(X97) ),
inference(fof_simplification,[status(thm)],[c_0_599]) ).
fof(c_0_1455,plain,
! [X33,X97] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97))
| hBOOL(X33) ),
inference(fof_simplification,[status(thm)],[c_0_600]) ).
fof(c_0_1456,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),bot_bo844097828e_bool))
<=> X12 = bot_bo844097828e_bool ) ),
c_0_601 ).
fof(c_0_1457,axiom,
! [X12] :
( is_fun_pname_bool(X12)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),bot_bo844097828e_bool))
=> X12 = bot_bo844097828e_bool ) ),
c_0_602 ).
fof(c_0_1458,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),bot_bo844097828e_bool))
<=> X9 = bot_bo844097828e_bool ) ),
c_0_603 ).
fof(c_0_1459,axiom,
! [X20,X15] :
( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_com_bool(wt,while(X20,X15))) ),
c_0_604 ).
fof(c_0_1460,plain,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
<=> X9 = bot_bo1055319631e_bool ),
inference(fof_simplification,[status(thm)],[c_0_605]) ).
fof(c_0_1461,axiom,
! [X9] :
( ? [X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X9))
<=> X9 != bot_bo1055319631e_bool ),
c_0_606 ).
fof(c_0_1462,plain,
! [X12,X9] :
( X9 = bot_bo1055319631e_bool
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),X9)) ),
inference(fof_simplification,[status(thm)],[c_0_607]) ).
fof(c_0_1463,plain,
! [X12,X9] :
( X9 = bot_bo844097828e_bool
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
inference(fof_simplification,[status(thm)],[c_0_608]) ).
fof(c_0_1464,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X98),X99))
| X98 = X99 ),
inference(fof_simplification,[status(thm)],[c_0_609]) ).
fof(c_0_1465,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X98),X99))
| X98 = X99 ),
inference(fof_simplification,[status(thm)],[c_0_610]) ).
fof(c_0_1466,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X98),X99))
| X98 = X99 ),
inference(fof_simplification,[status(thm)],[c_0_611]) ).
fof(c_0_1467,axiom,
! [X28,X12,X20] :
( hAPP_p799580910on_com(X28,X12) = some_com(X20)
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),dom_pname_com(X28))) ),
c_0_612 ).
fof(c_0_1468,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),bot_bo1055319631e_bool))
<=> X12 = bot_bo1055319631e_bool ),
c_0_613 ).
fof(c_0_1469,axiom,
! [X12] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X12),bot_bo1055319631e_bool))
=> X12 = bot_bo1055319631e_bool ),
c_0_614 ).
fof(c_0_1470,axiom,
! [X9] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),bot_bo1055319631e_bool))
<=> X9 = bot_bo1055319631e_bool ),
c_0_615 ).
fof(c_0_1471,plain,
! [X15] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X15),bot_bo1055319631e_bool)),
inference(fof_simplification,[status(thm)],[c_0_616]) ).
fof(c_0_1472,plain,
! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
inference(fof_simplification,[status(thm)],[c_0_617]) ).
fof(c_0_1473,plain,
! [X12] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X12),bot_bo1055319631e_bool)),
inference(fof_simplification,[status(thm)],[c_0_618]) ).
fof(c_0_1474,plain,
! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
inference(fof_simplification,[status(thm)],[c_0_619]) ).
fof(c_0_1475,axiom,
! [X12,X20] :
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),bot_bo1055319631e_bool)
=> X12 = X20 ),
c_0_620 ).
fof(c_0_1476,axiom,
! [X12] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X12)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool),
c_0_621 ).
fof(c_0_1477,axiom,
! [X12] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X12)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool),
c_0_622 ).
fof(c_0_1478,axiom,
! [X12] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X12)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool),
c_0_623 ).
fof(c_0_1479,axiom,
! [X12] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X12)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool),
c_0_624 ).
fof(c_0_1480,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),X18)) = X16,
c_0_625 ).
fof(c_0_1481,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18)) = X16,
c_0_626 ).
fof(c_0_1482,axiom,
! [X3,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4))
=> hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X3),X4)) ),
c_0_627 ).
fof(c_0_1483,plain,
! [X9] :
( is_fun_pname_bool(X9)
=> ( ! [X34] :
( is_pname(X34)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X34),X9)) )
=> X9 = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[c_0_628]) ).
fof(c_0_1484,plain,
! [X9] :
( ! [X34] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X34),X9))
=> X9 = bot_bo1055319631e_bool ),
inference(fof_simplification,[status(thm)],[c_0_629]) ).
fof(c_0_1485,axiom,
! [X15] : hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X15),evalc(X15)),
c_0_630 ).
fof(c_0_1486,axiom,
! [X86] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X86),X86)),
c_0_631 ).
fof(c_0_1487,axiom,
! [X33,X97,X100] : hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X33),X97),X100) = hAPP_f854625363l_bool(X33,hAPP_H1645666623e_bool(X97,X100)),
c_0_632 ).
fof(c_0_1488,axiom,
! [X33,X97,X100] : hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X33),X97),X100) = hAPP_f1949912908_state(X33,hAPP_p1637813682e_bool(X97,X100)),
c_0_633 ).
fof(c_0_1489,axiom,
! [X33,X97,X100] : hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X33),X97),X100) = hAPP_b798484845_state(X33,hAPP_pname_bool(X97,X100)),
c_0_634 ).
fof(c_0_1490,axiom,
! [X33,X97,X100] : hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_f2143211163_state(X97,X100)),
c_0_635 ).
fof(c_0_1491,axiom,
! [X33,X97,X100] : hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X33),X97),X100) = hAPP_f854625363l_bool(X33,hAPP_p877885514e_bool(X97,X100)),
c_0_636 ).
fof(c_0_1492,axiom,
! [X33,X97,X100] : hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_H563960305_state(X97,X100)),
c_0_637 ).
fof(c_0_1493,axiom,
! [X33,X97,X100] : hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_f1308959284_state(X97,X100)),
c_0_638 ).
fof(c_0_1494,axiom,
! [X33,X97,X100] : hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X33),X97),X100) = hAPP_f644196280e_bool(X33,hAPP_s2001034685l_bool(X97,X100)),
c_0_639 ).
fof(c_0_1495,axiom,
! [X33,X97,X100] : hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X33),X97),X100) = hAPP_f434788991l_bool(X33,hAPP_H1632039476e_bool(X97,X100)),
c_0_640 ).
fof(c_0_1496,axiom,
! [X33,X97,X100] : hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X33),X97),X100) = hAPP_H1645666623e_bool(X33,hAPP_p1842370726_state(X97,X100)),
c_0_641 ).
fof(c_0_1497,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X33),X97),X100) = hAPP_f1760790145l_bool(X33,hAPP_H1645666623e_bool(X97,X100)),
c_0_642 ).
fof(c_0_1498,axiom,
! [X33,X97,X100] : hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X33),X97),X100) = hAPP_b1679505845on_com(X33,hAPP_pname_bool(X97,X100)),
c_0_643 ).
fof(c_0_1499,axiom,
! [X33,X97,X100] : hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X33),X97),X100) = hAPP_f167292325e_bool(X33,hAPP_s2001034685l_bool(X97,X100)),
c_0_644 ).
fof(c_0_1500,axiom,
! [X33,X97,X100] : hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_f1008690464_pname(X97,X100)),
c_0_645 ).
fof(c_0_1501,axiom,
! [X33,X97,X100] : hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_f1760790145l_bool(X97,X100)),
c_0_646 ).
fof(c_0_1502,axiom,
! [X33,X97,X100] : hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X33),X97),X100) = hAPP_f1012183542e_bool(X33,hAPP_s336103912e_bool(X97,X100)),
c_0_647 ).
fof(c_0_1503,axiom,
! [X33,X97,X100] : hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X33),X97),X100) = hAPP_f1863945078e_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
c_0_648 ).
fof(c_0_1504,axiom,
! [X33,X97,X100] : hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X33),X97),X100) = hAPP_f1259673775l_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
c_0_649 ).
fof(c_0_1505,axiom,
! [X33,X97,X100] : hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X33),X97),X100) = hAPP_f434788991l_bool(X33,hAPP_p61793385e_bool(X97,X100)),
c_0_650 ).
fof(c_0_1506,axiom,
! [X33,X97,X100] : hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_H1344248906_pname(X97,X100)),
c_0_651 ).
fof(c_0_1507,axiom,
! [X33,X97,X100] : hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_H513860823e_bool(X97,X100)),
c_0_652 ).
fof(c_0_1508,axiom,
! [X33,X97,X100] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_f1760790145l_bool(X97,X100)),
c_0_653 ).
fof(c_0_1509,axiom,
! [X33,X97,X100] : hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_f1297739591_pname(X97,X100)),
c_0_654 ).
fof(c_0_1510,axiom,
! [X33,X97,X100] : hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_f1664156314l_bool(X97,X100)),
c_0_655 ).
fof(c_0_1511,axiom,
! [X33,X97,X100] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_H513860823e_bool(X97,X100)),
c_0_656 ).
fof(c_0_1512,axiom,
! [X33,X97,X100] : hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X33),X97),X100) = hAPP_c1546227244_state(X33,hAPP_pname_com(X97,X100)),
c_0_657 ).
fof(c_0_1513,axiom,
! [X33,X97,X100] : hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X33),X97),X100) = hAPP_p61793385e_bool(X33,hAPP_pname_pname(X97,X100)),
c_0_658 ).
fof(c_0_1514,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X33),X97),X100) = hAPP_f327114704l_bool(X33,hAPP_s1806633685e_bool(X97,X100)),
c_0_659 ).
fof(c_0_1515,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X33),X97),X100) = hAPP_f1664156314l_bool(X33,hAPP_p61793385e_bool(X97,X100)),
c_0_660 ).
fof(c_0_1516,axiom,
! [X33,X97,X100] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_state_bool(X97,X100)),
c_0_661 ).
fof(c_0_1517,axiom,
! [X33,X97,X100] : hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X33),X97),X100) = hAPP_b589554111l_bool(X33,hAPP_pname_bool(X97,X100)),
c_0_662 ).
fof(c_0_1518,axiom,
! [X33,X97,X100] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_f1664156314l_bool(X97,X100)),
c_0_663 ).
fof(c_0_1519,axiom,
! [X33,X97,X100] : hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X33),X97),X100) = hAPP_option_com_com(X33,hAPP_p799580910on_com(X97,X100)),
c_0_664 ).
fof(c_0_1520,axiom,
! [X33,X97,X100] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_state_bool(X97,X100)),
c_0_665 ).
fof(c_0_1521,axiom,
! [X33,X97,X100] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X33),X97),X100) = hAPP_bool_bool(X33,hAPP_pname_bool(X97,X100)),
c_0_666 ).
fof(c_0_1522,plain,
! [X97,X33] :
( ~ hBOOL(X33)
| ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X97)) ),
inference(fof_simplification,[status(thm)],[c_0_667]) ).
fof(c_0_1523,axiom,
! [X16] :
( is_pname(X16)
=> hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool)) = X16 ),
c_0_668 ).
fof(c_0_1524,plain,
! [X33,X97] :
( ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97)) ),
inference(fof_simplification,[status(thm)],[c_0_669]) ).
fof(c_0_1525,plain,
! [X33,X97] :
( ~ hBOOL(X97)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97)) ),
inference(fof_simplification,[status(thm)],[c_0_670]) ).
fof(c_0_1526,plain,
! [X97,X33] :
( ~ hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X97)) ),
inference(fof_simplification,[status(thm)],[c_0_671]) ).
fof(c_0_1527,axiom,
! [X16] : hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)) = X16,
c_0_672 ).
fof(c_0_1528,axiom,
! [X98,X99] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X98),X99) = X99,
c_0_673 ).
fof(c_0_1529,axiom,
! [X98,X99] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X98),X99) = X98,
c_0_674 ).
fof(c_0_1530,axiom,
! [X98,X99] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X98),X99) = X99,
c_0_675 ).
fof(c_0_1531,axiom,
! [X98,X99] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X98),X99) = X98,
c_0_676 ).
fof(c_0_1532,axiom,
! [X97,X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X97)) ),
c_0_677 ).
fof(c_0_1533,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X98),X99)) ),
c_0_678 ).
fof(c_0_1534,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X98),X99)) ),
c_0_679 ).
fof(c_0_1535,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X98),X99)) ),
c_0_680 ).
fof(c_0_1536,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X98),X99)) ),
c_0_681 ).
fof(c_0_1537,axiom,
! [X98,X99] :
( X98 != X99
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X98),X99)) ),
c_0_682 ).
fof(c_0_1538,axiom,
! [X16,X18] :
( X16 = X18
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X18)) ),
c_0_683 ).
fof(c_0_1539,axiom,
! [X16,X18] :
( X16 = X18
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X18)) ),
c_0_684 ).
fof(c_0_1540,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19)) ),
c_0_685 ).
fof(c_0_1541,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
c_0_686 ).
fof(c_0_1542,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ),
c_0_687 ).
fof(c_0_1543,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ),
c_0_688 ).
fof(c_0_1544,plain,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X19))
=> ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X9)) ) ),
inference(fof_simplification,[status(thm)],[c_0_689]) ).
fof(c_0_1545,plain,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ) ),
inference(fof_simplification,[status(thm)],[c_0_690]) ).
fof(c_0_1546,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = bot_bo1055319631e_bool )
& ( X9 != bot_bo844097828e_bool
=> hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X15)),X9) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),bot_bo1055319631e_bool) ) ) ),
c_0_691 ).
fof(c_0_1547,axiom,
! [X16] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X16),X16)),
c_0_692 ).
fof(c_0_1548,axiom,
! [X16] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X16),X16)),
c_0_693 ).
fof(c_0_1549,axiom,
! [X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X9),X9)),
c_0_694 ).
fof(c_0_1550,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X9)),
c_0_695 ).
fof(c_0_1551,axiom,
! [X17,X16,X18] :
( hAPP_p799580910on_com(X17,X16) = some_com(X18)
=> hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),dom_pname_com(X17)) = dom_pname_com(X17) ),
c_0_696 ).
fof(c_0_1552,plain,
! [X14] :
( bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X14)
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[c_0_697]) ).
fof(c_0_1553,plain,
! [X14] :
( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X14)
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[c_0_698]) ).
fof(c_0_1554,plain,
! [X14] :
( hAPP_f559147733l_bool(collec1974731493e_bool,X14) = bot_bo1649642514l_bool
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[c_0_699]) ).
fof(c_0_1555,plain,
! [X14] :
( hAPP_f759274231e_bool(collect_pname,X14) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[c_0_700]) ).
fof(c_0_1556,axiom,
! [X16,X18] :
( ( is_fun_pname_bool(X16)
& is_fun_pname_bool(X18) )
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),X18) = bot_bo844097828e_bool
<=> ( X16 = bot_bo844097828e_bool
& X18 = bot_bo844097828e_bool ) ) ),
c_0_701 ).
fof(c_0_1557,axiom,
! [X9,X19] :
( ( is_fun_pname_bool(X9)
& is_fun_pname_bool(X19) )
=> ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),X19) = bot_bo844097828e_bool
<=> ( X9 = bot_bo844097828e_bool
& X19 = bot_bo844097828e_bool ) ) ),
c_0_702 ).
fof(c_0_1558,axiom,
! [X12,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X20) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X12),
c_0_703 ).
fof(c_0_1559,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16),
c_0_704 ).
fof(c_0_1560,axiom,
! [X16,X18] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X18),X16),
c_0_705 ).
fof(c_0_1561,axiom,
! [X9,X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X9),
c_0_706 ).
fof(c_0_1562,plain,
! [X98,X33] :
( ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X33))
| hBOOL(hAPP_state_bool(X33,X98)) ),
inference(fof_simplification,[status(thm)],[c_0_707]) ).
fof(c_0_1563,axiom,
! [X12] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X12)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),bot_bo1055319631e_bool),
c_0_708 ).
fof(c_0_1564,axiom,
! [X12] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X12)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X12),bot_bo1325454745l_bool),
c_0_709 ).
fof(c_0_1565,axiom,
! [X12] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X12)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X12),bot_bo1649642514l_bool),
c_0_710 ).
fof(c_0_1566,axiom,
! [X12] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X12)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),bot_bo844097828e_bool),
c_0_711 ).
fof(c_0_1567,axiom,
! [X12] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X12)),
c_0_712 ).
fof(c_0_1568,axiom,
! [X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X12)),
c_0_713 ).
fof(c_0_1569,axiom,
! [X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X9)),
c_0_714 ).
fof(c_0_1570,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X9)),
c_0_715 ).
fof(c_0_1571,axiom,
! [X15,X9] :
( ( X9 = bot_bo1055319631e_bool
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo1055319631e_bool
=> hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X15)),X9) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),bot_bo844097828e_bool) ) ),
c_0_716 ).
fof(c_0_1572,plain,
! [X14] :
( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X14)
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_717]) ).
fof(c_0_1573,plain,
! [X14] :
( bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,X14)
<=> ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_718]) ).
fof(c_0_1574,plain,
! [X14] :
( hAPP_f921536533e_bool(collec727977250_state,X14) = bot_bo1055319631e_bool
<=> ! [X21] : ~ hBOOL(hAPP_H513860823e_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_719]) ).
fof(c_0_1575,plain,
! [X14] :
( hAPP_f1970439265l_bool(collec111528142e_bool,X14) = bot_bo1325454745l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f1760790145l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_720]) ).
fof(c_0_1576,axiom,
! [X16,X18] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X18) = bot_bo1055319631e_bool
<=> ( X16 = bot_bo1055319631e_bool
& X18 = bot_bo1055319631e_bool ) ),
c_0_721 ).
fof(c_0_1577,axiom,
! [X9,X19] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X19) = bot_bo1055319631e_bool
<=> ( X9 = bot_bo1055319631e_bool
& X19 = bot_bo1055319631e_bool ) ),
c_0_722 ).
fof(c_0_1578,axiom,
! [X12,X9] : bot_bo1055319631e_bool != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9),
c_0_723 ).
fof(c_0_1579,axiom,
! [X12,X9] : bot_bo844097828e_bool != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9),
c_0_724 ).
fof(c_0_1580,axiom,
! [X12,X9] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X12),X9) != bot_bo1055319631e_bool,
c_0_725 ).
fof(c_0_1581,axiom,
! [X12,X9] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X12),X9) != bot_bo844097828e_bool,
c_0_726 ).
fof(c_0_1582,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
c_0_727 ).
fof(c_0_1583,axiom,
! [X37,X38] :
( ( is_pname(X37)
& is_pname(X38) )
=> ( hAPP_pname_com(body_1,X37) = hAPP_pname_com(body_1,X38)
<=> X37 = X38 ) ),
c_0_728 ).
fof(c_0_1584,plain,
! [X33] :
( ~ hBOOL(hAPP_bool_bool(fNot,X33))
| ~ hBOOL(X33) ),
inference(fof_simplification,[status(thm)],[c_0_729]) ).
fof(c_0_1585,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
c_0_730 ).
fof(c_0_1586,axiom,
! [X74,X44,X71,X47] :
( while(X74,X44) = while(X71,X47)
<=> ( X74 = X71
& X44 = X47 ) ),
c_0_731 ).
fof(c_0_1587,axiom,
! [X69,X70,X72,X73] :
( semi(X69,X70) = semi(X72,X73)
<=> ( X69 = X72
& X70 = X73 ) ),
c_0_732 ).
fof(c_0_1588,axiom,
! [X21] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X21))
<=> hBOOL(bot_bot_bool) ),
c_0_733 ).
fof(c_0_1589,axiom,
! [X21] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X21))
<=> hBOOL(bot_bot_bool) ),
c_0_734 ).
fof(c_0_1590,axiom,
! [X16] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X16))
<=> hBOOL(bot_bot_bool) ),
c_0_735 ).
fof(c_0_1591,axiom,
! [X16] :
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X16))
<=> hBOOL(bot_bot_bool) ),
c_0_736 ).
fof(c_0_1592,axiom,
! [X16] : set_com(some_com(X16)) = hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X16),bot_bot_fun_com_bool),
c_0_737 ).
fof(c_0_1593,axiom,
! [X16] : set_Ho1831989999_state(some_H1133819688_state(X16)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool),
c_0_738 ).
fof(c_0_1594,axiom,
! [X16] : set_pname(some_pname(X16)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool),
c_0_739 ).
fof(c_0_1595,axiom,
! [X1,X2] :
( ( is_fun1661590463l_bool(X1)
& is_fun_pname_bool(X2) )
=> is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
c_0_740 ).
fof(c_0_1596,axiom,
! [X1,X2] :
( ( is_fun_pname_bool(X1)
& is_pname(X2) )
=> is_bool(hAPP_pname_bool(X1,X2)) ),
c_0_741 ).
fof(c_0_1597,axiom,
! [X71,X47,X69,X70] : while(X71,X47) != semi(X69,X70),
c_0_742 ).
fof(c_0_1598,axiom,
! [X69,X70,X71,X47] : semi(X69,X70) != while(X71,X47),
c_0_743 ).
fof(c_0_1599,axiom,
! [X16] :
( is_fun_pname_bool(X16)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X16),bot_bo844097828e_bool) = X16 ),
c_0_744 ).
fof(c_0_1600,axiom,
! [X9] :
( is_fun_pname_bool(X9)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X9),bot_bo844097828e_bool) = X9 ),
c_0_745 ).
fof(c_0_1601,axiom,
! [X16] :
( is_fun_pname_bool(X16)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X16) = X16 ),
c_0_746 ).
fof(c_0_1602,axiom,
! [X19] :
( is_fun_pname_bool(X19)
=> hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X19) = X19 ),
c_0_747 ).
fof(c_0_1603,axiom,
! [X75,X76,X64] : semi(X75,X76) != hAPP_pname_com(body_1,X64),
c_0_748 ).
fof(c_0_1604,axiom,
! [X64,X75,X76] : hAPP_pname_com(body_1,X64) != semi(X75,X76),
c_0_749 ).
fof(c_0_1605,axiom,
! [X74,X44,X38] : while(X74,X44) != hAPP_pname_com(body_1,X38),
c_0_750 ).
fof(c_0_1606,axiom,
! [X38,X74,X44] : hAPP_pname_com(body_1,X38) != while(X74,X44),
c_0_751 ).
fof(c_0_1607,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( bot_bo1055319631e_bool = hAPP_f631639356e_bool(image_275883510_state(X17),X9)
<=> X9 = bot_bo844097828e_bool ) ),
c_0_752 ).
fof(c_0_1608,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( hAPP_f631639356e_bool(image_275883510_state(X17),X9) = bot_bo1055319631e_bool
<=> X9 = bot_bo844097828e_bool ) ),
c_0_753 ).
fof(c_0_1609,axiom,
! [X3] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),bot_bo1055319631e_bool)),
c_0_754 ).
fof(c_0_1610,axiom,
! [X12] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X12) = X12,
c_0_755 ).
fof(c_0_1611,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),X16) = X16,
c_0_756 ).
fof(c_0_1612,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),X9) = X9,
c_0_757 ).
fof(c_0_1613,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
c_0_758 ).
fof(c_0_1614,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2)) ),
c_0_759 ).
fof(c_0_1615,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
c_0_760 ).
fof(c_0_1616,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
c_0_761 ).
fof(c_0_1617,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
c_0_762 ).
fof(c_0_1618,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_pname(hAPP_f1297739591_pname(X1,X2)) ),
c_0_763 ).
fof(c_0_1619,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
c_0_764 ).
fof(c_0_1620,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
c_0_765 ).
fof(c_0_1621,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
c_0_766 ).
fof(c_0_1622,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_pname(hAPP_pname_pname(X1,X2)) ),
c_0_767 ).
fof(c_0_1623,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X16),bot_bo1055319631e_bool) = X16,
c_0_768 ).
fof(c_0_1624,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X9),bot_bo1055319631e_bool) = X9,
c_0_769 ).
fof(c_0_1625,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X16),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
c_0_770 ).
fof(c_0_1626,axiom,
! [X16] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X16),bot_bo844097828e_bool) = bot_bo844097828e_bool,
c_0_771 ).
fof(c_0_1627,axiom,
! [X9] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X9),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
c_0_772 ).
fof(c_0_1628,axiom,
! [X9] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X9),bot_bo844097828e_bool) = bot_bo844097828e_bool,
c_0_773 ).
fof(c_0_1629,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X16) = X16,
c_0_774 ).
fof(c_0_1630,axiom,
! [X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X19) = X19,
c_0_775 ).
fof(c_0_1631,axiom,
! [X16] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X16) = bot_bo1055319631e_bool,
c_0_776 ).
fof(c_0_1632,axiom,
! [X16] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X16) = bot_bo844097828e_bool,
c_0_777 ).
fof(c_0_1633,axiom,
! [X19] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X19) = bot_bo1055319631e_bool,
c_0_778 ).
fof(c_0_1634,axiom,
! [X19] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X19) = bot_bo844097828e_bool,
c_0_779 ).
fof(c_0_1635,axiom,
! [X17,X9] :
( bot_bo844097828e_bool = hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9)
<=> X9 = bot_bo1055319631e_bool ),
c_0_780 ).
fof(c_0_1636,axiom,
! [X17,X9] :
( hAPP_f1745235422e_bool(image_1925245338_pname(X17),X9) = bot_bo844097828e_bool
<=> X9 = bot_bo1055319631e_bool ),
c_0_781 ).
fof(c_0_1637,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
c_0_782 ).
fof(c_0_1638,axiom,
! [X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(fNot,X33)) ),
c_0_783 ).
fof(c_0_1639,axiom,
! [X1,X2] : is_bool(hAPP_f1904669497l_bool(X1,X2)),
c_0_784 ).
fof(c_0_1640,axiom,
! [X1,X2] : is_bool(hAPP_f389811538l_bool(X1,X2)),
c_0_785 ).
fof(c_0_1641,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f280588268e_bool(X1,X2)),
c_0_786 ).
fof(c_0_1642,axiom,
! [X1,X2] : is_bool(hAPP_f239102607l_bool(X1,X2)),
c_0_787 ).
fof(c_0_1643,axiom,
! [X1,X2] : is_fun1661590463l_bool(hAPP_f748867288l_bool(X1,X2)),
c_0_788 ).
fof(c_0_1644,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f1745235422e_bool(X1,X2)),
c_0_789 ).
fof(c_0_1645,axiom,
! [X1,X2] : is_pname(hAPP_f1008690464_pname(X1,X2)),
c_0_790 ).
fof(c_0_1646,axiom,
! [X1,X2] : is_bool(hAPP_f327114704l_bool(X1,X2)),
c_0_791 ).
fof(c_0_1647,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_f42430548e_bool(X1,X2)),
c_0_792 ).
fof(c_0_1648,axiom,
! [X1,X2] : is_bool(hAPP_f990396704l_bool(X1,X2)),
c_0_793 ).
fof(c_0_1649,axiom,
! [X1,X2] : is_fun1661590463l_bool(hAPP_H737849090l_bool(X1,X2)),
c_0_794 ).
fof(c_0_1650,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_H1632039476e_bool(X1,X2)),
c_0_795 ).
fof(c_0_1651,axiom,
! [X1,X2] : is_bool(hAPP_H513860823e_bool(X1,X2)),
c_0_796 ).
fof(c_0_1652,axiom,
! [X1,X2] : is_pname(hAPP_H1344248906_pname(X1,X2)),
c_0_797 ).
fof(c_0_1653,axiom,
! [X1,X2] : is_bool(hAPP_state_bool(X1,X2)),
c_0_798 ).
fof(c_0_1654,axiom,
! [X1,X2] : is_bool(hAPP_com_bool(X1,X2)),
c_0_799 ).
fof(c_0_1655,axiom,
! [X1,X2] : is_bool(finite959343283e_bool(X1,X2)),
c_0_800 ).
fof(c_0_1656,axiom,
! [X1,X2] : is_bool(finite1268145088e_bool(X1,X2)),
c_0_801 ).
fof(c_0_1657,axiom,
! [X1,X2] : is_bool(finite506823037_state(X1,X2)),
c_0_802 ).
fof(c_0_1658,axiom,
! [X1,X2] : is_bool(finite89670078_pname(X1,X2)),
c_0_803 ).
fof(c_0_1659,axiom,
! [X1,X2] : is_bool(finite132673334e_bool(X1,X2)),
c_0_804 ).
fof(c_0_1660,axiom,
! [X1,X2] : is_bool(finite1626890877e_bool(X1,X2)),
c_0_805 ).
fof(c_0_1661,axiom,
! [X1,X2] : is_bool(finite774711482_state(X1,X2)),
c_0_806 ).
fof(c_0_1662,axiom,
! [X1,X2] : is_bool(finite1282449217_pname(X1,X2)),
c_0_807 ).
fof(c_0_1663,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X33),X97) = X33 ),
c_0_808 ).
fof(c_0_1664,axiom,
! [X33,X97] :
( is_pname(X33)
=> hAPP_H1344248906_pname(cOMBK_588224941_state(X33),X97) = X33 ),
c_0_809 ).
fof(c_0_1665,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_H513860823e_bool(cOMBK_1079618832_state(X33),X97) = X33 ),
c_0_810 ).
fof(c_0_1666,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X33),X97) = X33 ),
c_0_811 ).
fof(c_0_1667,axiom,
! [X33,X97] :
( is_bool(X33)
=> hAPP_pname_bool(cOMBK_bool_pname(X33),X97) = X33 ),
c_0_812 ).
fof(c_0_1668,axiom,
hBOOL(hAPP_com_bool(wt,skip)),
c_0_813 ).
fof(c_0_1669,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
c_0_814 ).
fof(c_0_1670,axiom,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
c_0_815 ).
fof(c_0_1671,axiom,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
c_0_816 ).
fof(c_0_1672,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
c_0_817 ).
fof(c_0_1673,axiom,
! [X78,X79] : semi(X78,X79) != skip,
c_0_818 ).
fof(c_0_1674,axiom,
! [X78,X79] : skip != semi(X78,X79),
c_0_819 ).
fof(c_0_1675,axiom,
! [X71,X47] : while(X71,X47) != skip,
c_0_820 ).
fof(c_0_1676,axiom,
! [X71,X47] : skip != while(X71,X47),
c_0_821 ).
fof(c_0_1677,axiom,
! [X33,X97] : hAPP_p1842370726_state(cOMBK_90103121_pname(X33),X97) = X33,
c_0_822 ).
fof(c_0_1678,axiom,
! [X33,X97] : hAPP_s1806633685e_bool(cOMBK_631994958_state(X33),X97) = X33,
c_0_823 ).
fof(c_0_1679,axiom,
! [X14] :
( is_fun1661590463l_bool(X14)
=> hAPP_f559147733l_bool(collec1974731493e_bool,X14) = X14 ),
c_0_824 ).
fof(c_0_1680,axiom,
! [X14] :
( is_fun_pname_bool(X14)
=> hAPP_f759274231e_bool(collect_pname,X14) = X14 ),
c_0_825 ).
fof(c_0_1681,axiom,
! [X64] : skip != hAPP_pname_com(body_1,X64),
c_0_826 ).
fof(c_0_1682,axiom,
! [X64] : hAPP_pname_com(body_1,X64) != skip,
c_0_827 ).
fof(c_0_1683,axiom,
! [X42] : hAPP_option_com_com(the_com,some_com(X42)) = X42,
c_0_828 ).
fof(c_0_1684,axiom,
! [X17] : hAPP_f631639356e_bool(image_275883510_state(X17),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
c_0_829 ).
fof(c_0_1685,axiom,
! [X17] : hAPP_f1745235422e_bool(image_1925245338_pname(X17),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
c_0_830 ).
fof(c_0_1686,axiom,
! [X1] :
( is_option_pname(X1)
=> is_fun_pname_bool(set_pname(X1)) ),
c_0_831 ).
fof(c_0_1687,axiom,
! [X1] :
( is_pname(X1)
=> is_option_pname(some_pname(X1)) ),
c_0_832 ).
fof(c_0_1688,axiom,
! [X1] :
( is_bool(X1)
=> is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
c_0_833 ).
fof(c_0_1689,axiom,
! [X1] :
( is_bool(X1)
=> is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
c_0_834 ).
fof(c_0_1690,axiom,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
c_0_835 ).
fof(c_0_1691,axiom,
bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)),
c_0_836 ).
fof(c_0_1692,axiom,
bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)),
c_0_837 ).
fof(c_0_1693,axiom,
bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)),
c_0_838 ).
fof(c_0_1694,axiom,
! [X12,X49] :
( some_com(X12) = some_com(X49)
<=> X12 = X49 ),
c_0_839 ).
fof(c_0_1695,axiom,
! [X14] : hAPP_f1970439265l_bool(collec111528142e_bool,X14) = X14,
c_0_840 ).
fof(c_0_1696,axiom,
! [X14] : hAPP_f921536533e_bool(collec727977250_state,X14) = X14,
c_0_841 ).
fof(c_0_1697,axiom,
( hBOOL(hoare_298929751gleton)
=> ! [X63] :
~ ! [X57] : X57 = X63 ),
c_0_842 ).
fof(c_0_1698,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
c_0_843 ).
fof(c_0_1699,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
c_0_844 ).
fof(c_0_1700,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
c_0_845 ).
fof(c_0_1701,axiom,
is_pname(undefined_pname(pname)),
c_0_846 ).
fof(c_0_1702,axiom,
( hBOOL(hoare_298929751gleton)
<=> ? [X57,X63] : X57 != X63 ),
c_0_847 ).
fof(c_0_1703,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[c_0_848]) ).
fof(c_0_1704,axiom,
is_bool(fTrue),
c_0_849 ).
fof(c_0_1705,axiom,
is_bool(fFalse),
c_0_850 ).
fof(c_0_1706,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
c_0_851 ).
fof(c_0_1707,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
c_0_852 ).
fof(c_0_1708,axiom,
is_bool(bot_bot_bool),
c_0_853 ).
fof(c_0_1709,axiom,
is_fun1661590463l_bool(finite_finite_pname),
c_0_854 ).
fof(c_0_1710,plain,
! [X56,X57,X58,X59,X60,X61,X62] :
( ( is_pname(esk84_7(X56,X57,X58,X59,X60,X61,X62))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X59)),X60)),X61)),X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X56)),X60)),X57)),X62)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X62)) )
& ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X59,esk84_7(X56,X57,X58,X59,X60,X61,X62))),hAPP_pname_com(X60,esk84_7(X56,X57,X58,X59,X60,X61,X62))),hAPP_p1637813682e_bool(X61,esk84_7(X56,X57,X58,X59,X60,X61,X62)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X59)),X60)),X61)),X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X56)),X60)),X57)),X62)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X62)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X56,esk84_7(X56,X57,X58,X59,X60,X61,X62))),hAPP_pname_com(X60,esk84_7(X56,X57,X58,X59,X60,X61,X62))),hAPP_p1637813682e_bool(X57,esk84_7(X56,X57,X58,X59,X60,X61,X62)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X59)),X60)),X61)),X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X56)),X60)),X57)),X62)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X62)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_855])])])]) ).
fof(c_0_1711,plain,
! [X16,X17] :
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X17))))),fequal_state))),X17),fequal_state)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X17)),bot_bo1055319631e_bool))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_856])])])]) ).
fof(c_0_1712,plain,
! [X58,X59,X60,X61] :
( ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X61,esk85_4(X58,X59,X60,X61)),esk86_4(X58,X59,X60,X61)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X61),X59),X60)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),esk86_4(X58,X59,X60,X61)))),X59),cOMBK_631994958_state(hAPP_s1806633685e_bool(X60,esk85_4(X58,X59,X60,X61))))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X58),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X61),X59),X60)),bot_bo1055319631e_bool))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_857])])])]) ).
fof(c_0_1713,plain,
! [X16,X17] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X17)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X16),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X17))))),fequal_state))),X17),fequal_state)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_858])]) ).
fof(c_0_1714,plain,
! [X62,X63,X64,X65,X66,X67,X71] :
( ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X63,esk91_6(X62,X63,X64,X65,X66,X67)),esk92_6(X62,X63,X64,X65,X66,X67)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X63),X66),X62)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X65),X66),X67)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X65,X71),esk92_6(X62,X63,X64,X65,X66,X67)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X67,X71),esk93_6(X62,X63,X64,X65,X66,X67)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X63),X66),X62)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X65),X66),X67)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X62,esk91_6(X62,X63,X64,X65,X66,X67)),esk93_6(X62,X63,X64,X65,X66,X67)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X63),X66),X62)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X64),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X65),X66),X67)),bot_bo1055319631e_bool))) ) ),
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_859])])])])]) ).
fof(c_0_1715,plain,
! [X40,X41,X42,X43] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),body_1)),X42)),X43))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X42)),X43)))
| hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),body_1)),X42)),X43))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_860])]) ).
fof(c_0_1716,plain,
! [X40,X41,X42,X43] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),body_1)),X42)),X43))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X42)),X43)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X41)),body_1)),X42)),X43))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_861])]) ).
fof(c_0_1717,plain,
! [X40,X41,X42,X43,X44] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X41),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X42)),body_1)),X43)),X44))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X42)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X43)),X44)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X40),X44))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X41),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X42,X40)),hAPP_pname_com(body_1,X40)),hAPP_p1637813682e_bool(X43,X40))),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_862])]) ).
fof(c_0_1718,plain,
! [X21,X22,X23,X24] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X22))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X23))),while(X23,X24)),X22)),bot_bo1055319631e_bool))),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1719,plain,
! [X23,X24,X25,X26,X27] :
( ( hBOOL(X27)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X24))),X27)),X25),X26)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X24),X25),X26)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X24))),X27)),X25),X26)),bot_bo1055319631e_bool))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_864])])]) ).
fof(c_0_1720,plain,
! [X58,X59,X60,X61,X62] :
( ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X62,esk89_5(X58,X59,X60,X61,X62)),esk90_5(X58,X59,X60,X61,X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X58)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X62)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X58,esk89_5(X58,X59,X60,X61,X62)),esk90_5(X58,X59,X60,X61,X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X58)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X62)),bot_bo1055319631e_bool))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_865])])])]) ).
fof(c_0_1721,plain,
! [X58,X59,X60,X61,X62] :
( ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X58,esk87_5(X58,X59,X60,X61,X62)),esk88_5(X58,X59,X60,X61,X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X58),X61),X62)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X62)),bot_bo1055319631e_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X60,esk87_5(X58,X59,X60,X61,X62)),esk88_5(X58,X59,X60,X61,X62)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X58),X61),X62)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X59),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X60),X61),X62)),bot_bo1055319631e_bool))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_866])])])]) ).
fof(c_0_1722,plain,
! [X15,X16,X17,X18] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X15),hAPP_pname_com(body_1,X16)),X17)),X18)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X15),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X16))),X17)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X18),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X15),hAPP_pname_com(body_1,X16)),X17)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_867])]) ).
fof(c_0_1723,plain,
! [X35,X36,X37,X38] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk149_4(X35,X36,X37,X38)),esk148_4(X35,X36,X37,X38)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X38))
| X36 != hAPP_f921536533e_bool(X37,X38) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X37,esk149_4(X35,X36,X37,X38))),hAPP_f921536533e_bool(X37,esk148_4(X35,X36,X37,X38))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X38))
| X36 != hAPP_f921536533e_bool(X37,X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_868])])])]) ).
fof(c_0_1724,plain,
! [X35,X36,X37,X38] :
( ( is_fun_pname_bool(esk146_4(X35,X36,X37,X38))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X38))
| X36 != hAPP_f759274231e_bool(X37,X38) )
& ( is_fun_pname_bool(esk147_4(X35,X36,X37,X38))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X38))
| X36 != hAPP_f759274231e_bool(X37,X38) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk147_4(X35,X36,X37,X38)),esk146_4(X35,X36,X37,X38)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X38))
| X36 != hAPP_f759274231e_bool(X37,X38) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X37,esk147_4(X35,X36,X37,X38))),hAPP_f759274231e_bool(X37,esk146_4(X35,X36,X37,X38))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X37,X35)),X36))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X38))
| X36 != hAPP_f759274231e_bool(X37,X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_869])])])]) ).
fof(c_0_1725,plain,
! [X35,X36,X37,X38] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk153_4(X35,X36,X37,X38)),esk152_4(X35,X36,X37,X38)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X36),hAPP_f921536533e_bool(X35,X38)))
| hAPP_f921536533e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X37),X38)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X35,esk153_4(X35,X36,X37,X38))),hAPP_f921536533e_bool(X35,esk152_4(X35,X36,X37,X38))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X36),hAPP_f921536533e_bool(X35,X38)))
| hAPP_f921536533e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X37),X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_870])])])]) ).
fof(c_0_1726,plain,
! [X35,X36,X37,X38] :
( ( is_fun_pname_bool(esk150_4(X35,X36,X37,X38))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X36),hAPP_f759274231e_bool(X35,X38)))
| hAPP_f759274231e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X37),X38)) )
& ( is_fun_pname_bool(esk151_4(X35,X36,X37,X38))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X36),hAPP_f759274231e_bool(X35,X38)))
| hAPP_f759274231e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X37),X38)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk151_4(X35,X36,X37,X38)),esk150_4(X35,X36,X37,X38)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X36),hAPP_f759274231e_bool(X35,X38)))
| hAPP_f759274231e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X37),X38)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X35,esk151_4(X35,X36,X37,X38))),hAPP_f759274231e_bool(X35,esk150_4(X35,X36,X37,X38))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X36),hAPP_f759274231e_bool(X35,X38)))
| hAPP_f759274231e_bool(X35,X37) != X36
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X37),X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_871])])])]) ).
fof(c_0_1727,plain,
! [X66,X67,X68,X69] :
( ( is_pname(esk116_4(X66,X67,X68,X69))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X66))
| X66 = bot_bo844097828e_bool
| hAPP_pname_pname(X67,hAPP_f1297739591_pname(X69,X66)) = hAPP_f1297739591_pname(X69,hAPP_f759274231e_bool(image_pname_pname(X67),X66))
| ~ hBOOL(finite89670078_pname(X68,X69))
| ~ is_fun_pname_bool(X66) )
& ( is_pname(esk117_4(X66,X67,X68,X69))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X66))
| X66 = bot_bo844097828e_bool
| hAPP_pname_pname(X67,hAPP_f1297739591_pname(X69,X66)) = hAPP_f1297739591_pname(X69,hAPP_f759274231e_bool(image_pname_pname(X67),X66))
| ~ hBOOL(finite89670078_pname(X68,X69))
| ~ is_fun_pname_bool(X66) )
& ( hAPP_pname_pname(X67,hAPP_pname_pname(hAPP_p1170154830_pname(X68,esk116_4(X66,X67,X68,X69)),esk117_4(X66,X67,X68,X69))) != hAPP_pname_pname(hAPP_p1170154830_pname(X68,hAPP_pname_pname(X67,esk116_4(X66,X67,X68,X69))),hAPP_pname_pname(X67,esk117_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X66))
| X66 = bot_bo844097828e_bool
| hAPP_pname_pname(X67,hAPP_f1297739591_pname(X69,X66)) = hAPP_f1297739591_pname(X69,hAPP_f759274231e_bool(image_pname_pname(X67),X66))
| ~ hBOOL(finite89670078_pname(X68,X69))
| ~ is_fun_pname_bool(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_872])])])])])]) ).
fof(c_0_1728,plain,
! [X66,X67,X68,X69] :
( ( is_fun_pname_bool(esk112_4(X66,X67,X68,X69))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X66))
| X66 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(X67,hAPP_f674760225e_bool(X69,X66)) = hAPP_f674760225e_bool(X69,hAPP_f559147733l_bool(image_2063528359e_bool(X67),X66))
| ~ hBOOL(finite1268145088e_bool(X68,X69))
| ~ is_fun1661590463l_bool(X66) )
& ( is_fun_pname_bool(esk113_4(X66,X67,X68,X69))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X66))
| X66 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(X67,hAPP_f674760225e_bool(X69,X66)) = hAPP_f674760225e_bool(X69,hAPP_f559147733l_bool(image_2063528359e_bool(X67),X66))
| ~ hBOOL(finite1268145088e_bool(X68,X69))
| ~ is_fun1661590463l_bool(X66) )
& ( hAPP_f759274231e_bool(X67,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X68,esk112_4(X66,X67,X68,X69)),esk113_4(X66,X67,X68,X69))) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X68,hAPP_f759274231e_bool(X67,esk112_4(X66,X67,X68,X69))),hAPP_f759274231e_bool(X67,esk113_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X66))
| X66 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(X67,hAPP_f674760225e_bool(X69,X66)) = hAPP_f674760225e_bool(X69,hAPP_f559147733l_bool(image_2063528359e_bool(X67),X66))
| ~ hBOOL(finite1268145088e_bool(X68,X69))
| ~ is_fun1661590463l_bool(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_873])])])])])]) ).
fof(c_0_1729,plain,
! [X66,X67,X68,X69] :
( ~ hBOOL(finite506823037_state(X68,X69))
| hAPP_H563960305_state(X67,hAPP_H563960305_state(hAPP_H521649881_state(X68,esk118_4(X66,X67,X68,X69)),esk119_4(X66,X67,X68,X69))) != hAPP_H563960305_state(hAPP_H521649881_state(X68,hAPP_H563960305_state(X67,esk118_4(X66,X67,X68,X69))),hAPP_H563960305_state(X67,esk119_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X66))
| X66 = bot_bo1055319631e_bool
| hAPP_H563960305_state(X67,hAPP_f2143211163_state(X69,X66)) = hAPP_f2143211163_state(X69,hAPP_f921536533e_bool(image_650584225_state(X67),X66)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_874])])]) ).
fof(c_0_1730,plain,
! [X66,X67,X68,X69] :
( ~ hBOOL(finite959343283e_bool(X68,X69))
| hAPP_f921536533e_bool(X67,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X68,esk114_4(X66,X67,X68,X69)),esk115_4(X66,X67,X68,X69))) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X68,hAPP_f921536533e_bool(X67,esk114_4(X66,X67,X68,X69))),hAPP_f921536533e_bool(X67,esk115_4(X66,X67,X68,X69)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X66))
| X66 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(X67,hAPP_f772567431e_bool(X69,X66)) = hAPP_f772567431e_bool(X69,hAPP_f1970439265l_bool(image_505022149e_bool(X67),X66)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_875])])]) ).
fof(c_0_1731,plain,
! [X35,X36,X37] :
( ( is_fun_pname_bool(esk124_3(X35,X36,X37))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X37,X35)),X35))
| X35 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
| ~ hBOOL(finite1626890877e_bool(X36,X37))
| ~ is_fun1661590463l_bool(X35) )
& ( is_fun_pname_bool(esk125_3(X35,X36,X37))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X37,X35)),X35))
| X35 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
| ~ hBOOL(finite1626890877e_bool(X36,X37))
| ~ is_fun1661590463l_bool(X35) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X36,esk124_3(X35,X36,X37)),esk125_3(X35,X36,X37))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk124_3(X35,X36,X37)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk125_3(X35,X36,X37)),bot_bo1649642514l_bool))))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X37,X35)),X35))
| X35 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35))
| ~ hBOOL(finite1626890877e_bool(X36,X37))
| ~ is_fun1661590463l_bool(X35) ) ),
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_876])])])])])]) ).
fof(c_0_1732,plain,
! [X35,X36,X37] :
( ( is_pname(esk120_3(X35,X36,X37))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X37,X35)),X35))
| X35 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
| ~ hBOOL(finite1282449217_pname(X36,X37))
| ~ is_fun_pname_bool(X35) )
& ( is_pname(esk121_3(X35,X36,X37))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X37,X35)),X35))
| X35 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
| ~ hBOOL(finite1282449217_pname(X36,X37))
| ~ is_fun_pname_bool(X35) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X36,esk120_3(X35,X36,X37)),esk121_3(X35,X36,X37))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk120_3(X35,X36,X37)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk121_3(X35,X36,X37)),bot_bo844097828e_bool))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X37,X35)),X35))
| X35 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35))
| ~ hBOOL(finite1282449217_pname(X36,X37))
| ~ is_fun_pname_bool(X35) ) ),
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_877])])])])])]) ).
fof(c_0_1733,plain,
! [X35,X36,X37] :
( ~ hBOOL(finite132673334e_bool(X36,X37))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35))
| X35 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X36,esk126_3(X35,X36,X37)),esk127_3(X35,X36,X37))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk126_3(X35,X36,X37)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk127_3(X35,X36,X37)),bot_bo1325454745l_bool))))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X37,X35)),X35)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_878])])]) ).
fof(c_0_1734,plain,
! [X35,X36,X37] :
( ~ hBOOL(finite774711482_state(X36,X37))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35))
| X35 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X36,esk122_3(X35,X36,X37)),esk123_3(X35,X36,X37))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk122_3(X35,X36,X37)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk123_3(X35,X36,X37)),bot_bo1055319631e_bool))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X37,X35)),X35)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_879])])]) ).
fof(c_0_1735,plain,
! [X22,X23] :
( ( is_pname(esk68_2(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk68_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X23))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X22)),hAPP_p1842370726_state(X22,esk68_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_880])])])]) ).
fof(c_0_1736,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk67_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X23))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X22)),hAPP_H1645666623e_bool(X22,esk67_2(X22,X23)))))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_881])])])]) ).
fof(c_0_1737,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk66_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X23))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X22)),hAPP_H1632039476e_bool(X22,esk66_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_882])])])]) ).
fof(c_0_1738,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk65_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X22),X23)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X23)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X23))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X22)),hAPP_f1008690464_pname(X22,esk65_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X22),X23)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_883])])])]) ).
fof(c_0_1739,plain,
! [X22,X23] :
( ( is_fun_pname_bool(esk64_2(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk64_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X23))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X22)),hAPP_f1297739591_pname(X22,esk64_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_884])])])]) ).
fof(c_0_1740,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk63_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X23))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X22)),hAPP_H1344248906_pname(X22,esk63_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_885])])])]) ).
fof(c_0_1741,plain,
! [X22,X23] :
( ( is_pname(esk62_2(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk62_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X23))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X22)),hAPP_pname_pname(X22,esk62_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_886])])])]) ).
fof(c_0_1742,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk61_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X22),X23)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X23)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X23))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X22)),hAPP_f2143211163_state(X22,esk61_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X22),X23)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_887])])])]) ).
fof(c_0_1743,plain,
! [X22,X23] :
( ( is_fun_pname_bool(esk60_2(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk60_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X23))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X22)),hAPP_f1308959284_state(X22,esk60_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X22),X23)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_888])])])]) ).
fof(c_0_1744,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk59_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X23))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X22)),hAPP_H563960305_state(X22,esk59_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X22),X23)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_889])])])]) ).
fof(c_0_1745,plain,
! [X22,X23] :
( ( is_pname(esk58_2(X22,X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk58_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X23))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X22)),hAPP_p877885514e_bool(X22,esk58_2(X22,X23)))))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_890])])])]) ).
fof(c_0_1746,plain,
! [X22,X23] :
( ( is_pname(esk57_2(X22,X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X22,X23)),X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X23))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X22)),hAPP_p61793385e_bool(X22,esk57_2(X22,X23)))))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X22),X23)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_891])])])]) ).
fof(c_0_1747,plain,
! [X15,X16,X17,X18] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X15),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X16),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X17))),X18)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X15),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X16),hAPP_pname_com(body_1,X17)),X18)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_892])]) ).
fof(c_0_1748,plain,
! [X59,X60,X61,X62,X63,X64] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X61),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X62),X63),X64)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X61),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X64),X59),X60)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X61),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X62),semi(X63,X59)),X60)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_893])]) ).
fof(c_0_1749,plain,
! [X9,X10] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X9))),X10)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X9)))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X10),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X9))),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_894])]) ).
fof(c_0_1750,plain,
! [X16,X17,X18] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X18)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X16),X18),X17)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X16),X18),X17)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_895])]) ).
fof(c_0_1751,plain,
! [X40,X41] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X41))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X41)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X41))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X40),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X41))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_896])]) ).
fof(c_0_1752,plain,
! [X22,X23,X24,X25] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk161_4(X22,X23,X24,X25)),X24))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X24),hAPP_f1970439265l_bool(collec111528142e_bool,X23))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X25),hAPP_f1970439265l_bool(collec111528142e_bool,X22))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X24),X25)) )
& ( hBOOL(hAPP_f1760790145l_bool(X23,esk161_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X24),hAPP_f1970439265l_bool(collec111528142e_bool,X23))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X25),hAPP_f1970439265l_bool(collec111528142e_bool,X22))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X24),X25)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X22,esk161_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X24),hAPP_f1970439265l_bool(collec111528142e_bool,X23))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X25),hAPP_f1970439265l_bool(collec111528142e_bool,X22))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X24),X25)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_897])])])]) ).
fof(c_0_1753,plain,
! [X22,X23,X24,X25] :
( ( is_fun_pname_bool(esk160_4(X22,X23,X24,X25))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X24),hAPP_f559147733l_bool(collec1974731493e_bool,X23))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X25),hAPP_f559147733l_bool(collec1974731493e_bool,X22))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X24),X25)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk160_4(X22,X23,X24,X25)),X24))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X24),hAPP_f559147733l_bool(collec1974731493e_bool,X23))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X25),hAPP_f559147733l_bool(collec1974731493e_bool,X22))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X24),X25)) )
& ( hBOOL(hAPP_f1664156314l_bool(X23,esk160_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X24),hAPP_f559147733l_bool(collec1974731493e_bool,X23))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X25),hAPP_f559147733l_bool(collec1974731493e_bool,X22))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X24),X25)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X22,esk160_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X24),hAPP_f559147733l_bool(collec1974731493e_bool,X23))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X25),hAPP_f559147733l_bool(collec1974731493e_bool,X22))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X24),X25)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_898])])])]) ).
fof(c_0_1754,plain,
! [X22,X23,X24,X25] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk159_4(X22,X23,X24,X25)),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),hAPP_f921536533e_bool(collec727977250_state,X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),hAPP_f921536533e_bool(collec727977250_state,X22))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25)) )
& ( hBOOL(hAPP_H513860823e_bool(X23,esk159_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),hAPP_f921536533e_bool(collec727977250_state,X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),hAPP_f921536533e_bool(collec727977250_state,X22))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X22,esk159_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),hAPP_f921536533e_bool(collec727977250_state,X23))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),hAPP_f921536533e_bool(collec727977250_state,X22))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_899])])])]) ).
fof(c_0_1755,plain,
! [X22,X23,X24,X25] :
( ( is_pname(esk158_4(X22,X23,X24,X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),hAPP_f759274231e_bool(collect_pname,X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),hAPP_f759274231e_bool(collect_pname,X22))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk158_4(X22,X23,X24,X25)),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),hAPP_f759274231e_bool(collect_pname,X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),hAPP_f759274231e_bool(collect_pname,X22))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25)) )
& ( hBOOL(hAPP_pname_bool(X23,esk158_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),hAPP_f759274231e_bool(collect_pname,X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),hAPP_f759274231e_bool(collect_pname,X22))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25)) )
& ( ~ hBOOL(hAPP_pname_bool(X22,esk158_4(X22,X23,X24,X25)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),hAPP_f759274231e_bool(collect_pname,X23))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),hAPP_f759274231e_bool(collect_pname,X22))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_900])])])]) ).
fof(c_0_1756,plain,
! [X60,X61,X62,X63] : hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X60)),X61)),X62)),X63) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X61),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X63),hAPP_f759274231e_bool(collect_pname,X60)))),hAPP_f631639356e_bool(image_275883510_state(X62),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X63),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X60))))),
inference(variable_rename,[status(thm)],[c_0_901]) ).
fof(c_0_1757,plain,
! [X22,X23] :
( ( is_pname(esk16_2(X22,X23))
| ~ hBOOL(hAPP_com_bool(wt,X22))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X22)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_2(X22,X23)),dom_pname_com(body)))
| ~ hBOOL(hAPP_com_bool(wt,X22))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X22)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk16_2(X22,X23)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X22))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X22)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ) ),
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_902])])])])])]) ).
fof(c_0_1758,plain,
! [X96,X97,X98,X99] :
( ( hBOOL(hAPP_state_bool(X96,X98))
| X99 = X98
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X97),X98),esk145_4(X96,X97,X98,X99)))
| X99 = X98
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),esk145_4(X96,X97,X98,X99)),X99))
| X99 = X98
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(X96,X98))
| ~ hBOOL(hAPP_state_bool(X96,X98))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X97),X98),esk145_4(X96,X97,X98,X99)))
| ~ hBOOL(hAPP_state_bool(X96,X98))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),esk145_4(X96,X97,X98,X99)),X99))
| ~ hBOOL(hAPP_state_bool(X96,X98))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X96,X97)),X98),X99)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_903])])])]) ).
fof(c_0_1759,plain,
! [X96,X97,X98,X99] :
( ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X96),X98),esk144_4(X96,X97,X98,X99)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X96,X97)),X98),X99)) )
& ( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X97),esk144_4(X96,X97,X98,X99)),X99))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X96,X97)),X98),X99)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_904])])])]) ).
fof(c_0_1760,plain,
! [X33,X34,X35] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk26_3(X33,X34,X35)))
| hBOOL(hAPP_f1760790145l_bool(X33,X35))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X34))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X33,X34,X35)),X34))
| hBOOL(hAPP_f1760790145l_bool(X33,X35))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X34))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X33,X34,X35)),esk26_3(X33,X34,X35)))
| hBOOL(hAPP_f1760790145l_bool(X33,X35))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X34))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35)) )
& ( hBOOL(hAPP_f1760790145l_bool(X33,esk26_3(X33,X34,X35)))
| hBOOL(hAPP_f1760790145l_bool(X33,X35))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X34))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk25_3(X33,X34,X35)),esk26_3(X33,X34,X35))))
| hBOOL(hAPP_f1760790145l_bool(X33,X35))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X35),X34))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X35)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_905])])])]) ).
fof(c_0_1761,plain,
! [X33,X34,X35] :
( ( is_pname(esk23_3(X33,X34,X35))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( is_fun_pname_bool(esk24_3(X33,X34,X35))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk24_3(X33,X34,X35)))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X33,X34,X35)),X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X33,X34,X35)),esk24_3(X33,X34,X35)))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( hBOOL(hAPP_f1664156314l_bool(X33,esk24_3(X33,X34,X35)))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk23_3(X33,X34,X35)),esk24_3(X33,X34,X35))))
| hBOOL(hAPP_f1664156314l_bool(X33,X35))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X35)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_906])])])]) ).
fof(c_0_1762,plain,
! [X33,X34,X35] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk22_3(X33,X34,X35)))
| hBOOL(hAPP_f239102607l_bool(X33,X35))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X34))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35)) )
& ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X33,X34,X35)),X34))
| hBOOL(hAPP_f239102607l_bool(X33,X35))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X34))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X33,X34,X35)),esk22_3(X33,X34,X35)))
| hBOOL(hAPP_f239102607l_bool(X33,X35))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X34))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35)) )
& ( hBOOL(hAPP_f239102607l_bool(X33,esk22_3(X33,X34,X35)))
| hBOOL(hAPP_f239102607l_bool(X33,X35))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X34))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk21_3(X33,X34,X35)),esk22_3(X33,X34,X35))))
| hBOOL(hAPP_f239102607l_bool(X33,X35))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X35),X34))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X35)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_907])])])]) ).
fof(c_0_1763,plain,
! [X33,X34,X35] :
( ( is_fun_pname_bool(esk19_3(X33,X34,X35))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( is_fun1661590463l_bool(esk20_3(X33,X34,X35))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk20_3(X33,X34,X35)))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X33,X34,X35)),X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X33,X34,X35)),esk20_3(X33,X34,X35)))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( hBOOL(hAPP_f1935102916l_bool(X33,esk20_3(X33,X34,X35)))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk19_3(X33,X34,X35)),esk20_3(X33,X34,X35))))
| hBOOL(hAPP_f1935102916l_bool(X33,X35))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X35),X34))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X35)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_908])])])]) ).
fof(c_0_1764,plain,
! [X24,X25,X26] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X26))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)))),
inference(variable_rename,[status(thm)],[c_0_909]) ).
fof(c_0_1765,plain,
! [X24,X25,X26] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),X25)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),X26))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X25),X26)))),
inference(variable_rename,[status(thm)],[c_0_910]) ).
fof(c_0_1766,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X23)),
inference(variable_rename,[status(thm)],[c_0_911]) ).
fof(c_0_1767,plain,
! [X84,X85,X86,X87] :
( ( is_pname(esk131_4(X84,X85,X86,X87))
| hAPP_f631639356e_bool(image_275883510_state(X84),X86) = hAPP_f631639356e_bool(image_275883510_state(X85),X87)
| X86 != X87 )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk131_4(X84,X85,X86,X87)),X87))
| hAPP_f631639356e_bool(image_275883510_state(X84),X86) = hAPP_f631639356e_bool(image_275883510_state(X85),X87)
| X86 != X87 )
& ( hAPP_p1842370726_state(X84,esk131_4(X84,X85,X86,X87)) != hAPP_p1842370726_state(X85,esk131_4(X84,X85,X86,X87))
| hAPP_f631639356e_bool(image_275883510_state(X84),X86) = hAPP_f631639356e_bool(image_275883510_state(X85),X87)
| X86 != X87 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_912])])])]) ).
fof(c_0_1768,plain,
! [X24,X25,X26] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X26)))),
inference(variable_rename,[status(thm)],[c_0_913]) ).
fof(c_0_1769,plain,
! [X24,X25,X26] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X26))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X26)))),
inference(variable_rename,[status(thm)],[c_0_914]) ).
fof(c_0_1770,plain,
! [X22,X23,X24] :
( ( is_pname(esk71_3(X22,X23,X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X22),X24)),X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk71_3(X22,X23,X24)),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X22),X24)),X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X22,esk71_3(X22,X23,X24))),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X22),X24)),X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_915])])])]) ).
fof(c_0_1771,plain,
! [X22,X23,X24] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk70_3(X22,X23,X24)),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X22),X24)),X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X22,esk70_3(X22,X23,X24))),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X22),X24)),X23)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_916])])])]) ).
fof(c_0_1772,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X60)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X61)),X62))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X62),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X60),X61))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X65),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X63),X64)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X63)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X64)),X65)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_917])])])]) ).
fof(c_0_1773,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X60)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X61)),X62))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X62),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X60),X61))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X65),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X63),X64)))
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X63)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X64)),X65)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_918])])])]) ).
fof(c_0_1774,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X60)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X61)),X62))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X62),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X60),X61))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X65),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X63),X64)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X63)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X64)),X65)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_919])])])]) ).
fof(c_0_1775,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X60)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X61)),X62))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X62),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X60),X61))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X65),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X63),X64)))
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X63)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X64)),X65)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_920])])])]) ).
fof(c_0_1776,plain,
! [X15,X16] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),hAPP_f921536533e_bool(collec727977250_state,X16)) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X15)))),X16)),
inference(variable_rename,[status(thm)],[c_0_921]) ).
fof(c_0_1777,plain,
! [X15,X16] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X15),hAPP_f1970439265l_bool(collec111528142e_bool,X16)) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X15)))),X16)),
inference(variable_rename,[status(thm)],[c_0_922]) ).
fof(c_0_1778,plain,
! [X15,X16] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X15),hAPP_f559147733l_bool(collec1974731493e_bool,X16)) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X15)))),X16)),
inference(variable_rename,[status(thm)],[c_0_923]) ).
fof(c_0_1779,plain,
! [X15,X16] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),hAPP_f759274231e_bool(collect_pname,X16)) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X15)))),X16)),
inference(variable_rename,[status(thm)],[c_0_924]) ).
fof(c_0_1780,plain,
! [X15,X16] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X15),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X16),skip),X16)),bot_bo1055319631e_bool))),
inference(variable_rename,[status(thm)],[c_0_925]) ).
fof(c_0_1781,plain,
! [X51,X52,X53] : dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X51)),X52)),X53)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X52)),hAPP_f759274231e_bool(collect_pname,X51))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X53)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X51)))),
inference(variable_rename,[status(thm)],[c_0_926]) ).
fof(c_0_1782,plain,
! [X15,X16,X17,X18] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X15)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X15)),X16)))) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X16)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X15)),X16)))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X17)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X18)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X17)),X18)))) ) ),
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_927])])])])]) ).
fof(c_0_1783,plain,
! [X15,X16,X17,X18] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X15)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X15)),X16)))) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X16)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X15)),X16)))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X17)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X18)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X17)),X18)))) ) ),
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_928])])])])]) ).
fof(c_0_1784,plain,
! [X15,X16,X17,X18] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X15)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X15)),X16)))) )
& ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X16)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X15)),X16)))) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X17)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X18)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X17)),X18)))) ) ),
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_929])])])])]) ).
fof(c_0_1785,plain,
! [X15,X16,X17,X18] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X15)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X15)),X16)))) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X16)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X15)),X16)))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X17)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X18)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X17)),X18)))) ) ),
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_930])])])])]) ).
fof(c_0_1786,plain,
! [X33,X34] :
( ( is_fun_pname_bool(esk107_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( is_fun1661590463l_bool(esk108_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( esk108_2(X33,X34) != bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X33,X34)),esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( hBOOL(hAPP_f1935102916l_bool(X33,esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X33,X34)),esk108_2(X33,X34))))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| is_fun_pname_bool(esk106_2(X33,X34))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( is_fun_pname_bool(esk107_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( is_fun1661590463l_bool(esk108_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( esk108_2(X33,X34) != bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X33,X34)),esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( hBOOL(hAPP_f1935102916l_bool(X33,esk108_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X33,X34)),esk108_2(X33,X34))))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X33,X34)),bot_bo1649642514l_bool)))
| X34 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34))
| ~ is_fun1661590463l_bool(X34) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_931])])])]) ).
fof(c_0_1787,plain,
! [X33,X34] :
( ( is_pname(esk101_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( is_fun_pname_bool(esk102_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( esk102_2(X33,X34) != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X33,X34)),esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( hBOOL(hAPP_f1664156314l_bool(X33,esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X33,X34)),esk102_2(X33,X34))))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| is_pname(esk100_2(X33,X34))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( is_pname(esk101_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( is_fun_pname_bool(esk102_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( esk102_2(X33,X34) != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X33,X34)),esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( hBOOL(hAPP_f1664156314l_bool(X33,esk102_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X33,X34)),esk102_2(X33,X34))))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X33,X34)),bot_bo844097828e_bool)))
| X34 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34))
| ~ is_fun_pname_bool(X34) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_932])])])]) ).
fof(c_0_1788,plain,
! [X33,X34] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk111_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X33,X34)),bot_bo1325454745l_bool)))
| X34 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( esk111_2(X33,X34) != bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X33,X34)),bot_bo1325454745l_bool)))
| X34 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk110_2(X33,X34)),esk111_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X33,X34)),bot_bo1325454745l_bool)))
| X34 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( hBOOL(hAPP_f239102607l_bool(X33,esk111_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X33,X34)),bot_bo1325454745l_bool)))
| X34 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk110_2(X33,X34)),esk111_2(X33,X34))))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X33,X34)),bot_bo1325454745l_bool)))
| X34 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_933])])])]) ).
fof(c_0_1789,plain,
! [X33,X34] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk105_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X33,X34)),bot_bo1055319631e_bool)))
| X34 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( esk105_2(X33,X34) != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X33,X34)),bot_bo1055319631e_bool)))
| X34 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk104_2(X33,X34)),esk105_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X33,X34)),bot_bo1055319631e_bool)))
| X34 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( hBOOL(hAPP_f1760790145l_bool(X33,esk105_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X33,X34)),bot_bo1055319631e_bool)))
| X34 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk104_2(X33,X34)),esk105_2(X33,X34))))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X33,X34)),bot_bo1055319631e_bool)))
| X34 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_934])])])]) ).
fof(c_0_1790,plain,
! [X20,X21,X22] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X20),X21)),hAPP_f631639356e_bool(image_275883510_state(X20),X22)))),
inference(variable_rename,[status(thm)],[c_0_935]) ).
fof(c_0_1791,plain,
! [X22,X23,X24,X25,X28,X29,X30,X31,X32] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X22,X23,X24)),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X22,X23,X24)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)))
| ~ hBOOL(hAPP_H513860823e_bool(X22,X25)) )
& ( hBOOL(hAPP_H513860823e_bool(X22,esk80_3(X22,X23,X24)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X22,X23,X24)),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)))
| ~ hBOOL(hAPP_H513860823e_bool(X22,X25)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X22,X23,X24)),X24))
| hBOOL(hAPP_H513860823e_bool(X22,esk79_3(X22,X23,X24)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)))
| ~ hBOOL(hAPP_H513860823e_bool(X22,X25)) )
& ( hBOOL(hAPP_H513860823e_bool(X22,esk80_3(X22,X23,X24)))
| hBOOL(hAPP_H513860823e_bool(X22,esk79_3(X22,X23,X24)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)))
| ~ hBOOL(hAPP_H513860823e_bool(X22,X25)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X28,X29,X30)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X29))
| ~ hBOOL(hAPP_H513860823e_bool(X28,X31)) )
& ( hBOOL(hAPP_H513860823e_bool(X28,esk81_3(X28,X29,X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X31),X29))
| ~ hBOOL(hAPP_H513860823e_bool(X28,X31)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X28,X29,X30)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X32),X30))
| ~ hBOOL(hAPP_H513860823e_bool(X28,X32)) )
& ( hBOOL(hAPP_H513860823e_bool(X28,esk81_3(X28,X29,X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X32),X30))
| ~ hBOOL(hAPP_H513860823e_bool(X28,X32)) ) ),
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_936])])])])])]) ).
fof(c_0_1792,plain,
! [X22,X23,X24,X26,X27,X28,X29,X30,X33] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X26),X23))
| hBOOL(hAPP_H513860823e_bool(X22,X26))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X22,X23,X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X27),X24))
| hBOOL(hAPP_H513860823e_bool(X22,X27))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X22,X23,X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X26),X23))
| hBOOL(hAPP_H513860823e_bool(X22,X26))
| ~ hBOOL(hAPP_H513860823e_bool(X22,esk76_3(X22,X23,X24))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X27),X24))
| hBOOL(hAPP_H513860823e_bool(X22,X27))
| ~ hBOOL(hAPP_H513860823e_bool(X22,esk76_3(X22,X23,X24))) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X28,X29,X30)),X30))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X28,X29,X30)),X29))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X33),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| hBOOL(hAPP_H513860823e_bool(X28,X33)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X28,esk78_3(X28,X29,X30)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X28,X29,X30)),X29))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X33),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| hBOOL(hAPP_H513860823e_bool(X28,X33)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X28,X29,X30)),X30))
| ~ hBOOL(hAPP_H513860823e_bool(X28,esk77_3(X28,X29,X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X33),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| hBOOL(hAPP_H513860823e_bool(X28,X33)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X28,esk78_3(X28,X29,X30)))
| ~ hBOOL(hAPP_H513860823e_bool(X28,esk77_3(X28,X29,X30)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X33),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X30)))
| hBOOL(hAPP_H513860823e_bool(X28,X33)) ) ),
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_937])])])])])]) ).
fof(c_0_1793,plain,
! [X86,X87,X88] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X86))),X87),X88))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X86)),X87),X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_938])]) ).
fof(c_0_1794,plain,
! [X87,X88,X89] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X87)),X88),X89))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X87))),X88),X89)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_939])]) ).
fof(c_0_1795,plain,
! [X92,X93,X94,X95,X96] :
( ~ hBOOL(hAPP_state_bool(X95,X96))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X93),X96),X94))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X95,X93)),X94),X92))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X95,X93)),X96),X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_940])]) ).
fof(c_0_1796,plain,
! [X15,X16] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X16)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X16)),X15)))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X15)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X16)),X15)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_941])])]) ).
fof(c_0_1797,plain,
! [X15,X16] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X16)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X16)),X15)))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X15)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X16)),X15)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_942])])]) ).
fof(c_0_1798,plain,
! [X15,X16] :
( ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X16)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X16)),X15)))) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X15)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X16)),X15)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_943])])]) ).
fof(c_0_1799,plain,
! [X15,X16] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X16)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X16)),X15)))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X15)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X16)),X15)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_944])])]) ).
fof(c_0_1800,plain,
! [X51,X52] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X51,esk95_2(X51,X52))),hAPP_H513860823e_bool(X52,esk95_2(X51,X52))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X51),X52)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_945])])]) ).
fof(c_0_1801,plain,
! [X51,X52] :
( ( is_pname(esk94_2(X51,X52))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X51),X52)) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X51,esk94_2(X51,X52))),hAPP_pname_bool(X52,esk94_2(X51,X52))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X51),X52)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_946])])])]) ).
fof(c_0_1802,plain,
! [X51,X52,X53,X54,X55] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X51),X52))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X51,X53)),hAPP_H513860823e_bool(X52,X53))) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X54,esk83_2(X54,X55))),hAPP_H513860823e_bool(X55,esk83_2(X54,X55))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X54),X55)) ) ),
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_947])])])])]) ).
fof(c_0_1803,plain,
! [X51,X52,X53,X54,X55] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X51),X52))
| ~ is_pname(X53)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X51,X53)),hAPP_pname_bool(X52,X53))) )
& ( is_pname(esk82_2(X54,X55))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X54),X55)) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X54,esk82_2(X54,X55))),hAPP_pname_bool(X55,esk82_2(X54,X55))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X54),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_948])])])])])]) ).
fof(c_0_1804,plain,
! [X20,X21] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X20),X21) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X20))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1805,plain,
! [X20,X21] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X20),X21) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X20))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_950]) ).
fof(c_0_1806,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X20),X21) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X20))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X21))),
inference(variable_rename,[status(thm)],[c_0_951]) ).
fof(c_0_1807,plain,
! [X20,X21] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X20),X21) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X20))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X21))),
inference(variable_rename,[status(thm)],[c_0_952]) ).
fof(c_0_1808,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X20))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X21))),
inference(variable_rename,[status(thm)],[c_0_953]) ).
fof(c_0_1809,plain,
! [X20,X21] : hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X20),X21) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X20))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1810,plain,
! [X20,X21] : hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X20),X21) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X20))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_955]) ).
fof(c_0_1811,plain,
! [X20,X21] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X20))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X21))),
inference(variable_rename,[status(thm)],[c_0_956]) ).
fof(c_0_1812,plain,
! [X25,X26] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X25),X26) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X25))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X26))),
inference(variable_rename,[status(thm)],[c_0_957]) ).
fof(c_0_1813,plain,
! [X25,X26] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X25),X26) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X25))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X26))),
inference(variable_rename,[status(thm)],[c_0_958]) ).
fof(c_0_1814,plain,
! [X25,X26] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X25),X26) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X25))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X26))),
inference(variable_rename,[status(thm)],[c_0_959]) ).
fof(c_0_1815,plain,
! [X25,X26] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X25),X26) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X25))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X26))),
inference(variable_rename,[status(thm)],[c_0_960]) ).
fof(c_0_1816,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X20))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X21))),
inference(variable_rename,[status(thm)],[c_0_961]) ).
fof(c_0_1817,plain,
! [X20,X21] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X20),X21) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X20))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_962]) ).
fof(c_0_1818,plain,
! [X20,X21] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X20),X21) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X20))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X21))),
inference(variable_rename,[status(thm)],[c_0_963]) ).
fof(c_0_1819,plain,
! [X20,X21] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X20))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X21))),
inference(variable_rename,[status(thm)],[c_0_964]) ).
fof(c_0_1820,plain,
! [X33,X34] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk48_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk47_2(X33,X34)),esk48_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( hBOOL(hAPP_f1760790145l_bool(X33,esk48_2(X33,X34)))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X33,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk47_2(X33,X34)),esk48_2(X33,X34))))
| hBOOL(hAPP_f1760790145l_bool(X33,X34))
| ~ hBOOL(hAPP_f1760790145l_bool(X33,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_965])])])]) ).
fof(c_0_1821,plain,
! [X33,X34] :
( ( is_pname(esk45_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) )
& ( is_fun_pname_bool(esk46_2(X33,X34))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk46_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk45_2(X33,X34)),esk46_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) )
& ( hBOOL(hAPP_f1664156314l_bool(X33,esk46_2(X33,X34)))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X33,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk45_2(X33,X34)),esk46_2(X33,X34))))
| hBOOL(hAPP_f1664156314l_bool(X33,X34))
| ~ hBOOL(hAPP_f1664156314l_bool(X33,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_966])])])]) ).
fof(c_0_1822,plain,
! [X33,X34] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk44_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk43_2(X33,X34)),esk44_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( hBOOL(hAPP_f239102607l_bool(X33,esk44_2(X33,X34)))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(X33,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk43_2(X33,X34)),esk44_2(X33,X34))))
| hBOOL(hAPP_f239102607l_bool(X33,X34))
| ~ hBOOL(hAPP_f239102607l_bool(X33,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_967])])])]) ).
fof(c_0_1823,plain,
! [X33,X34] :
( ( is_fun_pname_bool(esk41_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) )
& ( is_fun1661590463l_bool(esk42_2(X33,X34))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk42_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk41_2(X33,X34)),esk42_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) )
& ( hBOOL(hAPP_f1935102916l_bool(X33,esk42_2(X33,X34)))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(X33,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk41_2(X33,X34)),esk42_2(X33,X34))))
| hBOOL(hAPP_f1935102916l_bool(X33,X34))
| ~ hBOOL(hAPP_f1935102916l_bool(X33,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X34)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_968])])])]) ).
fof(c_0_1824,plain,
! [X100,X101,X102] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk166_0),esk167_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk166_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk167_0))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X100),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X101),X102)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X100),X101)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X100),X102)) ),
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_969])])])])]) ).
fof(c_0_1825,plain,
! [X100,X101,X102] :
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk163_0),esk164_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk163_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk164_0))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X100),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X101),X102)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X100),X101)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X100),X102)) ),
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_970])])])])]) ).
fof(c_0_1826,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite774711482_state(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X20) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X22,hAPP_f2143211163_state(X23,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20))),hAPP_f2143211163_state(X23,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X20))) = hAPP_H563960305_state(hAPP_H521649881_state(X22,hAPP_f2143211163_state(X23,X21)),hAPP_f2143211163_state(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_971])]) ).
fof(c_0_1827,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite1282449217_pname(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X20) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X22,hAPP_f1297739591_pname(X23,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X20))),hAPP_f1297739591_pname(X23,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X20))) = hAPP_pname_pname(hAPP_p1170154830_pname(X22,hAPP_f1297739591_pname(X23,X21)),hAPP_f1297739591_pname(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_972])]) ).
fof(c_0_1828,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite132673334e_bool(X22,X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X21),X20) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X22,hAPP_f772567431e_bool(X23,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X21),X20))),hAPP_f772567431e_bool(X23,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X21),X20))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X22,hAPP_f772567431e_bool(X23,X21)),hAPP_f772567431e_bool(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_973])]) ).
fof(c_0_1829,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite1626890877e_bool(X22,X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X21),X20) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X22,hAPP_f674760225e_bool(X23,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X21),X20))),hAPP_f674760225e_bool(X23,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X21),X20))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X22,hAPP_f674760225e_bool(X23,X21)),hAPP_f674760225e_bool(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_974])]) ).
fof(c_0_1830,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,X19) = X18
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| ~ hBOOL(finite1626890877e_bool(X20,X21))
| ~ is_fun_pname_bool(X18) )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,X19) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X20,X18),hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| ~ hBOOL(finite1626890877e_bool(X20,X21))
| ~ is_fun_pname_bool(X18) ) ),
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_975])])])])]) ).
fof(c_0_1831,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)) != bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,X19) = X18
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| ~ hBOOL(finite1282449217_pname(X20,X21))
| ~ is_pname(X18) )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,X19) = hAPP_pname_pname(hAPP_p1170154830_pname(X20,X18),hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| ~ hBOOL(finite1282449217_pname(X20,X21))
| ~ is_pname(X18) ) ),
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_976])])])])]) ).
fof(c_0_1832,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_H513860823e_bool(X15,X16))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X16))),X15)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool) )
& ( hBOOL(hAPP_H513860823e_bool(X17,X18))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X18))),X17)) = bot_bo1055319631e_bool ) ),
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_1833,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(X15,X16))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X16))),X15)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool) )
& ( hBOOL(hAPP_f1760790145l_bool(X17,X18))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X18))),X17)) = bot_bo1325454745l_bool ) ),
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_1834,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X15,X16))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X16))),X15)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool) )
& ( hBOOL(hAPP_f1664156314l_bool(X17,X18))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X18))),X17)) = bot_bo1649642514l_bool ) ),
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_1835,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_pname_bool(X15,X16))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X16))),X15)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool) )
& ( hBOOL(hAPP_pname_bool(X17,X18))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X18))),X17)) = bot_bo844097828e_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_980])])])]) ).
fof(c_0_1836,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,X19) = X18
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X18),X19))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| ~ hBOOL(finite132673334e_bool(X20,X21)) )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,X19) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X20,X18),hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X18),X19))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| ~ hBOOL(finite132673334e_bool(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_981])])]) ).
fof(c_0_1837,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,X19) = X18
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X18),X19))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| ~ hBOOL(finite774711482_state(X20,X21)) )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,X19) = hAPP_H563960305_state(hAPP_H521649881_state(X20,X18),hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X18),X19))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| ~ hBOOL(finite774711482_state(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_982])])]) ).
fof(c_0_1838,plain,
! [X60,X61,X62,X63] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X60)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X61)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X60),X61)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X62),X63))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X62)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X63))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_983])])])]) ).
fof(c_0_1839,plain,
! [X60,X61,X62,X63] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X60)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X61)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X60),X61)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X62),X63))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X62)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X63))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_984])])])]) ).
fof(c_0_1840,plain,
! [X36,X37,X38] :
( ( is_fun_pname_bool(esk39_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f759274231e_bool(image_pname_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk39_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f759274231e_bool(image_pname_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk39_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f759274231e_bool(image_pname_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( X38 = hAPP_f759274231e_bool(image_pname_pname(X36),esk39_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f759274231e_bool(image_pname_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_985])])])]) ).
fof(c_0_1841,plain,
! [X36,X37,X38] :
( ( is_fun_pname_bool(esk37_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f434788991l_bool(image_47868345e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk37_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f434788991l_bool(image_47868345e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk37_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f434788991l_bool(image_47868345e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) )
& ( X38 = hAPP_f434788991l_bool(image_47868345e_bool(X36),esk37_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f434788991l_bool(image_47868345e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_986])])])]) ).
fof(c_0_1842,plain,
! [X36,X37,X38] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk36_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f1745235422e_bool(image_1925245338_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk36_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f1745235422e_bool(image_1925245338_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( X38 = hAPP_f1745235422e_bool(image_1925245338_pname(X36),esk36_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f1745235422e_bool(image_1925245338_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_987])])])]) ).
fof(c_0_1843,plain,
! [X36,X37,X38] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk34_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f748867288l_bool(image_1259634916e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk34_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f748867288l_bool(image_1259634916e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) )
& ( X38 = hAPP_f748867288l_bool(image_1259634916e_bool(X36),esk34_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),hAPP_f748867288l_bool(image_1259634916e_bool(X36),X37)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))
| ~ is_fun1661590463l_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_988])])])]) ).
fof(c_0_1844,plain,
! [X36,X37,X38] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk33_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f280588268e_bool(image_636285904_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk33_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f280588268e_bool(image_636285904_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( X38 = hAPP_f280588268e_bool(image_636285904_pname(X36),esk33_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f280588268e_bool(image_636285904_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_989])])])]) ).
fof(c_0_1845,plain,
! [X36,X37,X38] :
( ( is_fun1661590463l_bool(esk32_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f674760225e_bool(image_1283814551_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk32_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f674760225e_bool(image_1283814551_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk32_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f674760225e_bool(image_1283814551_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) )
& ( X38 = hAPP_f674760225e_bool(image_1283814551_pname(X36),esk32_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),hAPP_f674760225e_bool(image_1283814551_pname(X36),X37)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))
| ~ is_fun_pname_bool(X38) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_990])])])]) ).
fof(c_0_1846,plain,
! [X36,X37,X38] :
( ( is_fun_pname_bool(esk40_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f631639356e_bool(image_275883510_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk40_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f631639356e_bool(image_275883510_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk40_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f631639356e_bool(image_275883510_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( X38 = hAPP_f631639356e_bool(image_275883510_state(X36),esk40_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f631639356e_bool(image_275883510_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_991])])])]) ).
fof(c_0_1847,plain,
! [X36,X37,X38] :
( ( is_fun_pname_bool(esk38_3(X36,X37,X38))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f1874607724l_bool(image_505480954e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk38_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f1874607724l_bool(image_505480954e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk38_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f1874607724l_bool(image_505480954e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) )
& ( X38 = hAPP_f1874607724l_bool(image_505480954e_bool(X36),esk38_3(X36,X37,X38))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f1874607724l_bool(image_505480954e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_992])])])]) ).
fof(c_0_1848,plain,
! [X36,X37,X38] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk35_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f854625363l_bool(image_277167759e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk35_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f854625363l_bool(image_277167759e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) )
& ( X38 = hAPP_f854625363l_bool(image_277167759e_bool(X36),esk35_3(X36,X37,X38))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X38),hAPP_f854625363l_bool(image_277167759e_bool(X36),X37)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_993])])])]) ).
fof(c_0_1849,plain,
! [X36,X37,X38] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk31_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f772567431e_bool(image_774712299_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk31_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f772567431e_bool(image_774712299_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( X38 = hAPP_f772567431e_bool(image_774712299_state(X36),esk31_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f772567431e_bool(image_774712299_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_994])])])]) ).
fof(c_0_1850,plain,
! [X36,X37,X38] :
( ( is_fun1661590463l_bool(esk30_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f780887186e_bool(image_936554724_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk30_3(X36,X37,X38)),X37))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f780887186e_bool(image_936554724_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X36,X37,X38)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f780887186e_bool(image_936554724_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) )
& ( X38 = hAPP_f780887186e_bool(image_936554724_state(X36),esk30_3(X36,X37,X38))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X38),hAPP_f780887186e_bool(image_936554724_state(X36),X37)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X38)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_995])])])]) ).
fof(c_0_1851,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),X19)) = X18
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| ~ hBOOL(finite1626890877e_bool(X20,X21))
| ~ is_fun_pname_bool(X18) )
& ( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X20,X18),hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X19),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),bot_bo1649642514l_bool))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| ~ hBOOL(finite1626890877e_bool(X20,X21))
| ~ is_fun_pname_bool(X18) ) ),
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_996])])])])]) ).
fof(c_0_1852,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)) != bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X19)) = X18
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| ~ hBOOL(finite1282449217_pname(X20,X21))
| ~ is_pname(X18) )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X20,X18),hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| ~ hBOOL(finite1282449217_pname(X20,X21))
| ~ is_pname(X18) ) ),
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_997])])])])]) ).
fof(c_0_1853,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),X19)) = X18
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| ~ hBOOL(finite132673334e_bool(X20,X21)) )
& ( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X20,X18),hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X19),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| ~ hBOOL(finite132673334e_bool(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_998])])]) ).
fof(c_0_1854,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X19)) = X18
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| ~ hBOOL(finite774711482_state(X20,X21)) )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X20,X18),hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| ~ hBOOL(finite774711482_state(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_999])])]) ).
fof(c_0_1855,plain,
! [X22,X23,X24] :
( ( X22 = hAPP_H1344248906_pname(X23,esk17_3(X22,X23,X24))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f1745235422e_bool(image_1925245338_pname(X23),X24)))
| ~ is_pname(X22) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk17_3(X22,X23,X24)),X24))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f1745235422e_bool(image_1925245338_pname(X23),X24)))
| ~ is_pname(X22) ) ),
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_1000])])])])])]) ).
fof(c_0_1856,plain,
! [X28,X29,X30,X32,X33,X34] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk14_3(X28,X29,X30)),X30))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),hAPP_f1745235422e_bool(image_1925245338_pname(X29),X30)))
| ~ is_fun_pname_bool(X28) )
& ( X28 = hAPP_f1745235422e_bool(image_1925245338_pname(X29),esk14_3(X28,X29,X30))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),hAPP_f1745235422e_bool(image_1925245338_pname(X29),X30)))
| ~ is_fun_pname_bool(X28) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X34),X33))
| X28 != hAPP_f1745235422e_bool(image_1925245338_pname(X32),X34)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),hAPP_f1745235422e_bool(image_1925245338_pname(X32),X33)))
| ~ is_fun_pname_bool(X28) ) ),
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_1001])])])])])]) ).
fof(c_0_1857,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),X29))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X26),X27))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X28),X26)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X29),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1002])]) ).
fof(c_0_1858,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X29))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X26),X27))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X28),X26)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1003])]) ).
fof(c_0_1859,plain,
! [X27,X28,X29,X30] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X29),X30))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X28))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X29),X27)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X30),X28))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1004])]) ).
fof(c_0_1860,plain,
! [X27,X28,X29,X30] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X29),X30))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X28))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X27)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X30),X28))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1005])]) ).
fof(c_0_1861,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),X29))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X26),X27))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X28),X26)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1006])]) ).
fof(c_0_1862,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X29))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X26),X27))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X28),X26)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X29),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1007])]) ).
fof(c_0_1863,plain,
! [X27,X28,X29,X30] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X29),X30))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X28))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X29),X27)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X30),X28))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1008])]) ).
fof(c_0_1864,plain,
! [X27,X28,X29,X30] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X29),X30))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X28))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X29),X27)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X30),X28))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1009])]) ).
fof(c_0_1865,plain,
! [X22,X23,X24] :
( ( is_pname(esk18_3(X22,X23,X24))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f631639356e_bool(image_275883510_state(X23),X24))) )
& ( X22 = hAPP_p1842370726_state(X23,esk18_3(X22,X23,X24))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f631639356e_bool(image_275883510_state(X23),X24))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk18_3(X22,X23,X24)),X24))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f631639356e_bool(image_275883510_state(X23),X24))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1010])])])]) ).
fof(c_0_1866,plain,
! [X28,X29,X30,X32,X33,X34,X35] :
( ( is_fun_pname_bool(esk15_3(X28,X29,X30))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),hAPP_f631639356e_bool(image_275883510_state(X29),X30))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk15_3(X28,X29,X30)),X30))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),hAPP_f631639356e_bool(image_275883510_state(X29),X30))) )
& ( X28 = hAPP_f631639356e_bool(image_275883510_state(X29),esk15_3(X28,X29,X30))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),hAPP_f631639356e_bool(image_275883510_state(X29),X30))) )
& ( ~ is_fun_pname_bool(X35)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X35),X34))
| X32 != hAPP_f631639356e_bool(image_275883510_state(X33),X35)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X32),hAPP_f631639356e_bool(image_275883510_state(X33),X34))) ) ),
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_1011])])])])])]) ).
fof(c_0_1867,plain,
! [X24,X25,X26,X28,X29,X30,X31] :
( ( is_pname(esk13_3(X24,X25,X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),hAPP_f631639356e_bool(image_275883510_state(X25),X26))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk13_3(X24,X25,X26)),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),hAPP_f631639356e_bool(image_275883510_state(X25),X26))) )
& ( X24 = hAPP_p1842370726_state(X25,esk13_3(X24,X25,X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),hAPP_f631639356e_bool(image_275883510_state(X25),X26))) )
& ( ~ is_pname(X31)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X30))
| X28 != hAPP_p1842370726_state(X29,X31)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X28),hAPP_f631639356e_bool(image_275883510_state(X29),X30))) ) ),
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_1012])])])])])]) ).
fof(c_0_1868,plain,
! [X93,X94,X95,X96,X97] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X95),X96),X97))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X93),X97),X94))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X95,X93)),X96),X94)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1013])]) ).
fof(c_0_1869,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),X26)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),X26)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X29))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),X29))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X27),X28)),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_1014])])])])]) ).
fof(c_0_1870,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25)),X26)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25)),X26)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X29))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X29))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X27),X28)),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_1015])])])])]) ).
fof(c_0_1871,plain,
! [X21,X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)),X23)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)),X23)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1016])])]) ).
fof(c_0_1872,plain,
! [X21,X22,X23] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X22)),X23)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X22)),X23)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1017])])]) ).
fof(c_0_1873,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21)),X22)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21)),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X23),X24)),X25)) ) ),
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_1018])])])])]) ).
fof(c_0_1874,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21)),X22)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21)),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X25))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X23),X24)),X25)) ) ),
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_1019])])])])]) ).
fof(c_0_1875,plain,
! [X27,X28,X29] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),X29))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),X28)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),X29))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1020])]) ).
fof(c_0_1876,plain,
! [X27,X28,X29] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X29))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),X28)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),X29))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1021])]) ).
fof(c_0_1877,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X21)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1022])]) ).
fof(c_0_1878,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X22),X21)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1023])]) ).
fof(c_0_1879,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X26))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X24)),X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1024])]) ).
fof(c_0_1880,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X26))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X25),X24)),X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1025])]) ).
fof(c_0_1881,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X23)),X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1026])]) ).
fof(c_0_1882,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X23)),X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1027])]) ).
fof(c_0_1883,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X17),X18))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X17),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X18),hAPP_f1970439265l_bool(collec111528142e_bool,X19)))) )
& ( hBOOL(hAPP_f1760790145l_bool(X19,X17))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X17),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X18),hAPP_f1970439265l_bool(collec111528142e_bool,X19)))) )
& ( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(X22,X20))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X20),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X21),hAPP_f1970439265l_bool(collec111528142e_bool,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_1028])])])])]) ).
fof(c_0_1884,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X17),X18))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X17),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X18),hAPP_f559147733l_bool(collec1974731493e_bool,X19)))) )
& ( hBOOL(hAPP_f1664156314l_bool(X19,X17))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X17),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X18),hAPP_f559147733l_bool(collec1974731493e_bool,X19)))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(X22,X20))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X21),hAPP_f559147733l_bool(collec1974731493e_bool,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_1029])])])])]) ).
fof(c_0_1885,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X17),X18))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X17),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),hAPP_f921536533e_bool(collec727977250_state,X19)))) )
& ( hBOOL(hAPP_H513860823e_bool(X19,X17))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X17),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X18),hAPP_f921536533e_bool(collec727977250_state,X19)))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| ~ hBOOL(hAPP_H513860823e_bool(X22,X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),hAPP_f921536533e_bool(collec727977250_state,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_1030])])])])]) ).
fof(c_0_1886,plain,
! [X17,X18,X19,X20,X21,X22] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),X18))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),hAPP_f759274231e_bool(collect_pname,X19)))) )
& ( hBOOL(hAPP_pname_bool(X19,X17))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X18),hAPP_f759274231e_bool(collect_pname,X19)))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| ~ hBOOL(hAPP_pname_bool(X22,X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),hAPP_f759274231e_bool(collect_pname,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_1031])])])])]) ).
fof(c_0_1887,plain,
! [X20,X21,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),bot_bo1055319631e_bool))),X22),
inference(variable_rename,[status(thm)],[c_0_1032]) ).
fof(c_0_1888,plain,
! [X22,X23,X24] :
( ( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,esk96_3(X22,X23,X24)),set_com(X24)))
| X24 != some_com(X22)
| hBOOL(hAPP_com_bool(X23,X22)) )
& ( ~ hBOOL(hAPP_com_bool(X23,esk96_3(X22,X23,X24)))
| X24 != some_com(X22)
| hBOOL(hAPP_com_bool(X23,X22)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1033])])])]) ).
fof(c_0_1889,plain,
! [X51,X52,X53,X54,X55,X56] :
( ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X51),X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X51,X53)),hAPP_H513860823e_bool(X52,X53))) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X54,X56)),hAPP_H513860823e_bool(X55,X56)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X54),X55),X56)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1034])])])]) ).
fof(c_0_1890,plain,
! [X51,X52,X53,X54,X55,X56] :
( ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X51),X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X51,X53)),hAPP_H513860823e_bool(X52,X53))) )
& ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X54,X56)),hAPP_H513860823e_bool(X55,X56)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X54),X55),X56)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1035])])])]) ).
fof(c_0_1891,plain,
! [X8,X9,X10] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X10),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X9),X8))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X9),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X10),X8))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1036])]) ).
fof(c_0_1892,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X24)),X25) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X23)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X28),X26))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X26),X27)),X28) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X26),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X27),X28)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1037])])])]) ).
fof(c_0_1893,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),X24)),X25) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X23)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X28),X26))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X26),X27)),X28) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X26),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X27),X28)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1038])])])]) ).
fof(c_0_1894,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25))) ) ),
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_1039])])])])]) ).
fof(c_0_1895,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25))) ) ),
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_1040])])])])]) ).
fof(c_0_1896,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1041])]) ).
fof(c_0_1897,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1042])]) ).
fof(c_0_1898,plain,
! [X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1043])])]) ).
fof(c_0_1899,plain,
! [X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1044])])]) ).
fof(c_0_1900,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1045])]) ).
fof(c_0_1901,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1046])]) ).
fof(c_0_1902,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X21)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1047])]) ).
fof(c_0_1903,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X21)),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1048])]) ).
fof(c_0_1904,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_H513860823e_bool(X15,X16))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X16))),X15)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool) )
& ( hBOOL(hAPP_H513860823e_bool(X17,X18))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X18))),X17)) = bot_bo1055319631e_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1049])])])]) ).
fof(c_0_1905,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(X15,X16))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X16))),X15)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X16),bot_bo1325454745l_bool) )
& ( hBOOL(hAPP_f1760790145l_bool(X17,X18))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X18))),X17)) = bot_bo1325454745l_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1050])])])]) ).
fof(c_0_1906,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X15,X16))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X16))),X15)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X16),bot_bo1649642514l_bool) )
& ( hBOOL(hAPP_f1664156314l_bool(X17,X18))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X18))),X17)) = bot_bo1649642514l_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1051])])])]) ).
fof(c_0_1907,plain,
! [X15,X16,X17,X18] :
( ( ~ hBOOL(hAPP_pname_bool(X15,X16))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X16))),X15)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X16),bot_bo844097828e_bool) )
& ( hBOOL(hAPP_pname_bool(X17,X18))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X18))),X17)) = bot_bo844097828e_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1052])])])]) ).
fof(c_0_1908,plain,
! [X8,X9,X10] :
( ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X9),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X9),X10))) )
& ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),X10))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X9),X10))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1053])])]) ).
fof(c_0_1909,plain,
! [X20,X21,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X21),X22))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X21),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1054])])]) ).
fof(c_0_1910,plain,
! [X20,X21,X22] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X21),X22))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X21),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1055])])]) ).
fof(c_0_1911,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X26),X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1056])]) ).
fof(c_0_1912,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X26),X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1057])]) ).
fof(c_0_1913,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1058])]) ).
fof(c_0_1914,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1059])]) ).
fof(c_0_1915,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26))) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X28))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),X29))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X27),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X28),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_1060])])])])]) ).
fof(c_0_1916,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X26))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X26))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X28))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X29))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X28),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_1061])])])])]) ).
fof(c_0_1917,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1062])]) ).
fof(c_0_1918,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1063])]) ).
fof(c_0_1919,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22))) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X24))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25))) ) ),
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_1064])])])])]) ).
fof(c_0_1920,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X24))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X24),X25))) ) ),
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_1065])])])])]) ).
fof(c_0_1921,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1066])]) ).
fof(c_0_1922,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1067])]) ).
fof(c_0_1923,plain,
! [X21,X22,X23,X24] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),X23)))
| X21 = X22
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X23))
| ~ is_pname(X21)
| ~ is_pname(X22) )
& ( X21 != X22
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),X24)))
| ~ is_pname(X21)
| ~ is_pname(X22) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),X24)))
| ~ is_pname(X21)
| ~ is_pname(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_1068])])])])]) ).
fof(c_0_1924,plain,
! [X21,X22,X23] :
( ~ is_pname(X21)
| ~ is_pname(X22)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),X23)))
| X21 = X22
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X23)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1069])])])]) ).
fof(c_0_1925,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25)),X26) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X26)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)),
inference(variable_rename,[status(thm)],[c_0_1070]) ).
fof(c_0_1926,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),X26) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X26)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26)),
inference(variable_rename,[status(thm)],[c_0_1071]) ).
fof(c_0_1927,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)),X25) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25)),
inference(variable_rename,[status(thm)],[c_0_1072]) ).
fof(c_0_1928,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X24)),X25) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),
inference(variable_rename,[status(thm)],[c_0_1073]) ).
fof(c_0_1929,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X20),X21)),hAPP_f631639356e_bool(image_275883510_state(X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1074])]) ).
fof(c_0_1930,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X20),X21)),hAPP_f1745235422e_bool(image_1925245338_pname(X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1075])]) ).
fof(c_0_1931,plain,
! [X21,X22,X23,X24,X25,X26] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),X23)))
| X21 = X22
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X23)) )
& ( X24 != X25
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X25),X26))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X26))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X25),X26))) ) ),
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_1076])])])])]) ).
fof(c_0_1932,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),X23)))
| X21 = X22
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1077])]) ).
fof(c_0_1933,plain,
! [X21,X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X23))) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X23))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1078])])]) ).
fof(c_0_1934,plain,
! [X21,X22,X23] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X23))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X23))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X23))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1079])])]) ).
fof(c_0_1935,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1080])]) ).
fof(c_0_1936,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1081])]) ).
fof(c_0_1937,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1082])])])]) ).
fof(c_0_1938,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1083])])])]) ).
fof(c_0_1939,plain,
! [X20,X21,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22))) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1084])])]) ).
fof(c_0_1940,plain,
! [X20,X21,X22] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1085])])]) ).
fof(c_0_1941,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1086])]) ).
fof(c_0_1942,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1087])]) ).
fof(c_0_1943,plain,
! [X20,X21,X22,X23] :
( ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21)
| ~ hBOOL(finite1282449217_pname(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| X21 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20))
| X20 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X20) != bot_bo844097828e_bool
| hAPP_f1297739591_pname(X23,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X20)) = hAPP_pname_pname(hAPP_p1170154830_pname(X22,hAPP_f1297739591_pname(X23,X21)),hAPP_f1297739591_pname(X23,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1088])])])]) ).
fof(c_0_1944,plain,
! [X20,X21,X22,X23] :
( ~ is_fun1661590463l_bool(X20)
| ~ is_fun1661590463l_bool(X21)
| ~ hBOOL(finite1626890877e_bool(X22,X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| X21 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20))
| X20 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X21),X20) != bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X23,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X21),X20)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X22,hAPP_f674760225e_bool(X23,X21)),hAPP_f674760225e_bool(X23,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1089])])])]) ).
fof(c_0_1945,plain,
! [X16] :
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X16))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X16)),bot_bo1055319631e_bool))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1090])])])]) ).
fof(c_0_1946,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X25))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),X23)),X25) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X25)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X27),X28))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),X26)),X28) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X26),X28) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1091])])])]) ).
fof(c_0_1947,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X25))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),X23)),X25) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),X25)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X27),X28))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),X26)),X28) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X26),X28) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1092])])])]) ).
fof(c_0_1948,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X25))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),X23)),X25) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1093])]) ).
fof(c_0_1949,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X25))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),X23)),X25) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1094])]) ).
fof(c_0_1950,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite774711482_state(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| X21 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20))
| X20 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X20) != bot_bo1055319631e_bool
| hAPP_f2143211163_state(X23,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20)) = hAPP_H563960305_state(hAPP_H521649881_state(X22,hAPP_f2143211163_state(X23,X21)),hAPP_f2143211163_state(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1095])]) ).
fof(c_0_1951,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite132673334e_bool(X22,X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| X21 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20))
| X20 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X21),X20) != bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X23,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X21),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X22,hAPP_f772567431e_bool(X23,X21)),hAPP_f772567431e_bool(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1096])]) ).
fof(c_0_1952,plain,
! [X20,X21] : hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X20),X21) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X20))),X21),
inference(variable_rename,[status(thm)],[c_0_1097]) ).
fof(c_0_1953,plain,
! [X20,X21] : hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X20),X21) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X20))),X21),
inference(variable_rename,[status(thm)],[c_0_1098]) ).
fof(c_0_1954,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X20))),X21),
inference(variable_rename,[status(thm)],[c_0_1099]) ).
fof(c_0_1955,plain,
! [X20,X21] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X20))),X21),
inference(variable_rename,[status(thm)],[c_0_1100]) ).
fof(c_0_1956,plain,
! [X17,X18] :
( ~ is_fun_pname_bool(X17)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)))
| X17 = bot_bo844097828e_bool
| X17 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1101])])])]) ).
fof(c_0_1957,plain,
! [X10] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X10))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X10)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1102])]) ).
fof(c_0_1958,plain,
! [X10] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X10))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X10)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1103])]) ).
fof(c_0_1959,plain,
! [X10] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X10))
| hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X10)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1104])]) ).
fof(c_0_1960,plain,
! [X10] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X10))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X10)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1105])]) ).
fof(c_0_1961,plain,
! [X18,X19,X20] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X18,X19)),hAPP_f631639356e_bool(image_275883510_state(X18),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1106])]) ).
fof(c_0_1962,plain,
! [X18,X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X18,X19)),hAPP_f1745235422e_bool(image_1925245338_pname(X18),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1107])]) ).
fof(c_0_1963,plain,
! [X13,X14] :
( ~ is_fun_pname_bool(X14)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X14),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),bot_bo844097828e_bool))) = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1108])]) ).
fof(c_0_1964,plain,
! [X17,X18] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)))
| X17 = bot_bo1055319631e_bool
| X17 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1109])]) ).
fof(c_0_1965,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X13),X14))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X14),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),bot_bo1055319631e_bool))) = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1110])]) ).
fof(c_0_1966,plain,
! [X26,X27,X28,X29] :
( ( X26 = X29
| X26 = X28
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) )
& ( X27 = X28
| X26 = X28
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) )
& ( X26 = X29
| X27 = X29
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) )
& ( X27 = X28
| X27 = X29
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) )
& ( X26 != X28
| X27 != X29
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) )
& ( X26 != X29
| X27 != X28
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X26),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X27),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X28),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X29),bot_bo844097828e_bool))
| ~ is_pname(X26)
| ~ is_pname(X27)
| ~ is_pname(X28)
| ~ is_pname(X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1111])])]) ).
fof(c_0_1967,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20)),X20)),
inference(variable_rename,[status(thm)],[c_0_1112]) ).
fof(c_0_1968,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20)),X20)),
inference(variable_rename,[status(thm)],[c_0_1113]) ).
fof(c_0_1969,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20)),X20)),
inference(variable_rename,[status(thm)],[c_0_1114]) ).
fof(c_0_1970,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20)),X20)),
inference(variable_rename,[status(thm)],[c_0_1115]) ).
fof(c_0_1971,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20)),X19)),
inference(variable_rename,[status(thm)],[c_0_1116]) ).
fof(c_0_1972,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20)),X19)),
inference(variable_rename,[status(thm)],[c_0_1117]) ).
fof(c_0_1973,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20)),X19)),
inference(variable_rename,[status(thm)],[c_0_1118]) ).
fof(c_0_1974,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20)),X19)),
inference(variable_rename,[status(thm)],[c_0_1119]) ).
fof(c_0_1975,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X20),X21)),X20)),
inference(variable_rename,[status(thm)],[c_0_1120]) ).
fof(c_0_1976,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X20),X21)),X20)),
inference(variable_rename,[status(thm)],[c_0_1121]) ).
fof(c_0_1977,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X20),X21)),X21)),
inference(variable_rename,[status(thm)],[c_0_1122]) ).
fof(c_0_1978,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X20),X21)),X21)),
inference(variable_rename,[status(thm)],[c_0_1123]) ).
fof(c_0_1979,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X26)),
inference(variable_rename,[status(thm)],[c_0_1124]) ).
fof(c_0_1980,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X26)),
inference(variable_rename,[status(thm)],[c_0_1125]) ).
fof(c_0_1981,plain,
! [X20,X21,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X22)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22)),
inference(variable_rename,[status(thm)],[c_0_1126]) ).
fof(c_0_1982,plain,
! [X20,X21,X22] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X22)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X22)),
inference(variable_rename,[status(thm)],[c_0_1127]) ).
fof(c_0_1983,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X25)),
inference(variable_rename,[status(thm)],[c_0_1128]) ).
fof(c_0_1984,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X24),X25)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X25)),
inference(variable_rename,[status(thm)],[c_0_1129]) ).
fof(c_0_1985,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X22,X23)),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X22)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X22,X23)),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X22)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1130])])])]) ).
fof(c_0_1986,plain,
! [X22,X23] :
( ( is_pname(esk28_2(X22,X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X22,X23)),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X22,X23)),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1131])])])]) ).
fof(c_0_1987,plain,
! [X20,X21,X22,X23] :
( ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21)
| ~ hBOOL(finite89670078_pname(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| X21 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20))
| X20 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X23,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X20)) = hAPP_pname_pname(hAPP_p1170154830_pname(X22,hAPP_f1297739591_pname(X23,X21)),hAPP_f1297739591_pname(X23,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1132])])])]) ).
fof(c_0_1988,plain,
! [X20,X21,X22,X23] :
( ~ is_fun1661590463l_bool(X20)
| ~ is_fun1661590463l_bool(X21)
| ~ hBOOL(finite1268145088e_bool(X22,X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| X21 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20))
| X20 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X23,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X21),X20)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X22,hAPP_f674760225e_bool(X23,X21)),hAPP_f674760225e_bool(X23,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1133])])])]) ).
fof(c_0_1989,plain,
! [X21,X22] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),bot_bo844097828e_bool)))
| X21 = X22
| ~ is_pname(X21)
| ~ is_pname(X22) )
& ( X21 != X22
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),bot_bo844097828e_bool)))
| ~ is_pname(X21)
| ~ is_pname(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1134])])]) ).
fof(c_0_1990,plain,
! [X21,X22] :
( ~ is_pname(X21)
| ~ is_pname(X22)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),bot_bo844097828e_bool)))
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1135])]) ).
fof(c_0_1991,plain,
! [X51,X52,X53] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X52,X51)),hAPP_H513860823e_bool(X53,X51))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1136])]) ).
fof(c_0_1992,plain,
! [X51,X52,X53] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X52,X51)),hAPP_pname_bool(X53,X51))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1137])]) ).
fof(c_0_1993,plain,
! [X51,X52,X53] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X52,X51)),hAPP_H513860823e_bool(X53,X51))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1138])]) ).
fof(c_0_1994,plain,
! [X51,X52,X53] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X52),X53))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X52,X51)),hAPP_pname_bool(X53,X51))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1139])]) ).
fof(c_0_1995,plain,
! [X20,X21,X22,X23] :
( ~ is_fun_pname_bool(X20)
| ~ hBOOL(finite89670078_pname(X22,X23))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| X20 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_pname_pname(hAPP_p1170154830_pname(X22,hAPP_f1297739591_pname(X23,X20)),hAPP_f1297739591_pname(X23,X21)) = hAPP_f1297739591_pname(X23,X21) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1140])])])]) ).
fof(c_0_1996,plain,
! [X20,X21,X22,X23] :
( ~ is_fun1661590463l_bool(X20)
| ~ hBOOL(finite1268145088e_bool(X22,X23))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| X20 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X22,hAPP_f674760225e_bool(X23,X20)),hAPP_f674760225e_bool(X23,X21)) = hAPP_f674760225e_bool(X23,X21) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1141])])])]) ).
fof(c_0_1997,plain,
! [X89,X90,X91] :
( hBOOL(hAPP_state_bool(X90,X91))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X90,X89)),X91),X91)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1142])]) ).
fof(c_0_1998,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite506823037_state(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| X20 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_H563960305_state(hAPP_H521649881_state(X22,hAPP_f2143211163_state(X23,X20)),hAPP_f2143211163_state(X23,X21)) = hAPP_f2143211163_state(X23,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1143])]) ).
fof(c_0_1999,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite959343283e_bool(X22,X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| X20 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X22,hAPP_f772567431e_bool(X23,X20)),hAPP_f772567431e_bool(X23,X21)) = hAPP_f772567431e_bool(X23,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1144])]) ).
fof(c_0_2000,plain,
! [X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(X23,esk135_2(X22,X23)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X23)),hAPP_f1970439265l_bool(collec111528142e_bool,X22))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(X22,esk135_2(X22,X23)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X23)),hAPP_f1970439265l_bool(collec111528142e_bool,X22))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1145])])])]) ).
fof(c_0_2001,plain,
! [X22,X23] :
( ( is_fun_pname_bool(esk134_2(X22,X23))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X23)),hAPP_f559147733l_bool(collec1974731493e_bool,X22))) )
& ( hBOOL(hAPP_f1664156314l_bool(X23,esk134_2(X22,X23)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X23)),hAPP_f559147733l_bool(collec1974731493e_bool,X22))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X22,esk134_2(X22,X23)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X23)),hAPP_f559147733l_bool(collec1974731493e_bool,X22))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1146])])])]) ).
fof(c_0_2002,plain,
! [X22,X23] :
( ( is_pname(esk133_2(X22,X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X23)),hAPP_f759274231e_bool(collect_pname,X22))) )
& ( hBOOL(hAPP_pname_bool(X23,esk133_2(X22,X23)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X23)),hAPP_f759274231e_bool(collect_pname,X22))) )
& ( ~ hBOOL(hAPP_pname_bool(X22,esk133_2(X22,X23)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X23)),hAPP_f759274231e_bool(collect_pname,X22))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1147])])])]) ).
fof(c_0_2003,plain,
! [X22,X23] :
( ( hBOOL(hAPP_H513860823e_bool(X23,esk132_2(X22,X23)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X23)),hAPP_f921536533e_bool(collec727977250_state,X22))) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X22,esk132_2(X22,X23)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X23)),hAPP_f921536533e_bool(collec727977250_state,X22))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1148])])])]) ).
fof(c_0_2004,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite506823037_state(X22,X23))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| X21 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20))
| X20 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X23,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20)) = hAPP_H563960305_state(hAPP_H521649881_state(X22,hAPP_f2143211163_state(X23,X21)),hAPP_f2143211163_state(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1149])]) ).
fof(c_0_2005,plain,
! [X20,X21,X22,X23] :
( ~ hBOOL(finite959343283e_bool(X22,X23))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| X21 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20))
| X20 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X23,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X21),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X22,hAPP_f772567431e_bool(X23,X21)),hAPP_f772567431e_bool(X23,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1150])]) ).
fof(c_0_2006,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1151])]) ).
fof(c_0_2007,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1152])]) ).
fof(c_0_2008,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1153])]) ).
fof(c_0_2009,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1154])]) ).
fof(c_0_2010,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1155])]) ).
fof(c_0_2011,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X22),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1156])]) ).
fof(c_0_2012,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1157])]) ).
fof(c_0_2013,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1158])]) ).
fof(c_0_2014,plain,
! [X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X22))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1159])])]) ).
fof(c_0_2015,plain,
! [X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X22))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X22))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1160])])]) ).
fof(c_0_2016,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1161])]) ).
fof(c_0_2017,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1162])]) ).
fof(c_0_2018,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1163])]) ).
fof(c_0_2019,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X23))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1164])]) ).
fof(c_0_2020,plain,
! [X21,X22,X23] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X23))) )
& ( X22 != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X23))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1165])])]) ).
fof(c_0_2021,plain,
! [X21,X22,X23] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X23))) )
& ( X22 != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X23))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1166])])]) ).
fof(c_0_2022,plain,
! [X95,X96,X97,X98] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X96),X97),X98))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X96),X97),X95))
| X95 = X98 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1167])]) ).
fof(c_0_2023,plain,
! [X21,X22,X23,X24] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),bot_bo1055319631e_bool)))
| X21 = X22 )
& ( X23 != X24
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),bot_bo1055319631e_bool))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1168])])])]) ).
fof(c_0_2024,plain,
! [X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),bot_bo1055319631e_bool)))
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1169])]) ).
fof(c_0_2025,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X20)) )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X25))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X23) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1170])])])]) ).
fof(c_0_2026,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X20)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X25))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),X23)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X23) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1171])])])]) ).
fof(c_0_2027,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1172])]) ).
fof(c_0_2028,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1173])]) ).
fof(c_0_2029,plain,
! [X26,X27,X28,X29,X30,X31,X32,X33] :
( ( X26 = X29
| X26 = X28
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X26),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X28),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X29),bot_bo1055319631e_bool)) )
& ( X27 = X28
| X26 = X28
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X26),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X28),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X29),bot_bo1055319631e_bool)) )
& ( X26 = X29
| X27 = X29
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X26),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X28),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X29),bot_bo1055319631e_bool)) )
& ( X27 = X28
| X27 = X29
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X26),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X27),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X28),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X29),bot_bo1055319631e_bool)) )
& ( X30 != X32
| X31 != X33
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X30),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X32),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X33),bot_bo1055319631e_bool)) )
& ( X30 != X33
| X31 != X32
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X30),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X31),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X32),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X33),bot_bo1055319631e_bool)) ) ),
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_1174])])])])]) ).
fof(c_0_2030,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21),X22))
| hBOOL(hAPP_H513860823e_bool(X20,X22))
| hBOOL(hAPP_H513860823e_bool(X21,X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1175])]) ).
fof(c_0_2031,plain,
! [X17,X18] :
( ~ is_fun_pname_bool(X18)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),X18))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),X18)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),bot_bo844097828e_bool)) = X18 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1176])]) ).
fof(c_0_2032,plain,
! [X42,X43] :
( ( is_fun_pname_bool(esk140_2(X42,X43))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) )
& ( X43 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X42),esk140_2(X42,X43))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),esk140_2(X42,X43)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1177])])])]) ).
fof(c_0_2033,plain,
! [X42,X43] :
( ( is_fun_pname_bool(esk138_2(X42,X43))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) )
& ( X43 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X42),esk138_2(X42,X43))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),esk138_2(X42,X43)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X42),X43))
| ~ is_fun_pname_bool(X43) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1178])])])]) ).
fof(c_0_2034,plain,
! [X18,X19,X20,X21] :
( ~ is_fun1661590463l_bool(X19)
| ~ hBOOL(finite1626890877e_bool(X20,X21))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
| X19 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X20,X18),hAPP_f674760225e_bool(X21,X19)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1179])])])]) ).
fof(c_0_2035,plain,
! [X18,X19,X20,X21] :
( ~ is_fun_pname_bool(X19)
| ~ hBOOL(finite1282449217_pname(X20,X21))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
| X19 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X20,X18),hAPP_f1297739591_pname(X21,X19)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1180])])])]) ).
fof(c_0_2036,plain,
! [X17,X18] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X17),X18))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),X18)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),bot_bo1055319631e_bool)) = X18 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1181])]) ).
fof(c_0_2037,plain,
! [X42,X43] :
( ( X43 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X42),esk141_2(X42,X43))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),X43)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),esk141_2(X42,X43)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),X43)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1182])])])]) ).
fof(c_0_2038,plain,
! [X42,X43] :
( ( X43 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X42),esk139_2(X42,X43))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),X43)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),esk139_2(X42,X43)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X42),X43)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1183])])])]) ).
fof(c_0_2039,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite132673334e_bool(X20,X21))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X18),X19))
| X19 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X20,X18),hAPP_f772567431e_bool(X21,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1184])]) ).
fof(c_0_2040,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite774711482_state(X20,X21))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X18),X19))
| X19 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X20,X18),hAPP_f2143211163_state(X21,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1185])]) ).
fof(c_0_2041,plain,
! [X19,X20,X21] :
( ( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X19),X20),X21))
| X19 = X21
| hBOOL(hAPP_pname_bool(X20,X21))
| ~ is_pname(X19)
| ~ is_pname(X21) )
& ( X19 != X21
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X19),X20),X21))
| ~ is_pname(X19)
| ~ is_pname(X21) )
& ( ~ hBOOL(hAPP_pname_bool(X20,X21))
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X19),X20),X21))
| ~ is_pname(X19)
| ~ is_pname(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1186])])]) ).
fof(c_0_2042,plain,
! [X15,X16] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X15)),X16)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X15)),hAPP_f1970439265l_bool(collec111528142e_bool,X16)),
inference(variable_rename,[status(thm)],[c_0_1187]) ).
fof(c_0_2043,plain,
! [X15,X16] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X15)),X16)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X15)),hAPP_f559147733l_bool(collec1974731493e_bool,X16)),
inference(variable_rename,[status(thm)],[c_0_1188]) ).
fof(c_0_2044,plain,
! [X15,X16] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X15)),X16)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X15)),hAPP_f759274231e_bool(collect_pname,X16)),
inference(variable_rename,[status(thm)],[c_0_1189]) ).
fof(c_0_2045,plain,
! [X15,X16] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X15)),X16)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X15)),hAPP_f921536533e_bool(collec727977250_state,X16)),
inference(variable_rename,[status(thm)],[c_0_1190]) ).
fof(c_0_2046,plain,
! [X15,X16] : hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X15)),X16)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X15)),hAPP_f921536533e_bool(collec727977250_state,X16)),
inference(variable_rename,[status(thm)],[c_0_1191]) ).
fof(c_0_2047,plain,
! [X15,X16] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X15)),X16)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X15)),hAPP_f1970439265l_bool(collec111528142e_bool,X16)),
inference(variable_rename,[status(thm)],[c_0_1192]) ).
fof(c_0_2048,plain,
! [X15,X16] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X15)),X16)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X15)),hAPP_f559147733l_bool(collec1974731493e_bool,X16)),
inference(variable_rename,[status(thm)],[c_0_1193]) ).
fof(c_0_2049,plain,
! [X15,X16] : hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X15)),X16)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X15)),hAPP_f759274231e_bool(collect_pname,X16)),
inference(variable_rename,[status(thm)],[c_0_1194]) ).
fof(c_0_2050,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X25),X26) != bot_bo844097828e_bool
| ~ is_pname(X27)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X27),X25))
| ~ is_pname(X28)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X28),X26))
| X27 != X28 )
& ( is_pname(esk154_2(X29,X30))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X30) = bot_bo844097828e_bool )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk154_2(X29,X30)),X29))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X30) = bot_bo844097828e_bool )
& ( is_pname(esk155_2(X29,X30))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X30) = bot_bo844097828e_bool )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk155_2(X29,X30)),X30))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X30) = bot_bo844097828e_bool )
& ( esk154_2(X29,X30) = esk155_2(X29,X30)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X29),X30) = bot_bo844097828e_bool ) ),
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_1195])])])])])]) ).
fof(c_0_2051,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X26),X24))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1196])]) ).
fof(c_0_2052,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X26),X24))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1197])]) ).
fof(c_0_2053,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X26))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1198])]) ).
fof(c_0_2054,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X26))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1199])]) ).
fof(c_0_2055,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1200])]) ).
fof(c_0_2056,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1201])]) ).
fof(c_0_2057,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1202])]) ).
fof(c_0_2058,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1203])]) ).
fof(c_0_2059,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1204])]) ).
fof(c_0_2060,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1205])]) ).
fof(c_0_2061,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X25),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X24),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1206])]) ).
fof(c_0_2062,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X25))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X25),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X24),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1207])]) ).
fof(c_0_2063,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1208])]) ).
fof(c_0_2064,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1209])]) ).
fof(c_0_2065,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f631639356e_bool(image_275883510_state(X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1210])]) ).
fof(c_0_2066,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f280588268e_bool(image_636285904_pname(X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1211])]) ).
fof(c_0_2067,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f674760225e_bool(image_1283814551_pname(X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1212])]) ).
fof(c_0_2068,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f772567431e_bool(image_774712299_state(X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1213])]) ).
fof(c_0_2069,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f780887186e_bool(image_936554724_state(X21),X22)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1214])]) ).
fof(c_0_2070,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f759274231e_bool(image_pname_pname(X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1215])]) ).
fof(c_0_2071,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X20),hAPP_f1874607724l_bool(image_505480954e_bool(X21),X22)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1216])]) ).
fof(c_0_2072,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X22))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),hAPP_f434788991l_bool(image_47868345e_bool(X21),X22)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1217])]) ).
fof(c_0_2073,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X22))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f1745235422e_bool(image_1925245338_pname(X21),X22)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1218])]) ).
fof(c_0_2074,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X22))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X20),hAPP_f854625363l_bool(image_277167759e_bool(X21),X22)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1219])]) ).
fof(c_0_2075,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X22))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),hAPP_f748867288l_bool(image_1259634916e_bool(X21),X22)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1220])]) ).
fof(c_0_2076,plain,
! [X19,X20,X21,X22,X23,X24] :
( ( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X19),X20),X21))
| X19 = X21
| hBOOL(hAPP_H513860823e_bool(X20,X21)) )
& ( X22 != X24
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),X23),X24)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X23,X24))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),X23),X24)) ) ),
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_1221])])])])]) ).
fof(c_0_2077,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X25),X26) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X27),X25))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X28),X26))
| X27 != X28 )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk156_2(X29,X30)),X29))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X29),X30) = bot_bo1055319631e_bool )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk157_2(X29,X30)),X30))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X29),X30) = bot_bo1055319631e_bool )
& ( esk156_2(X29,X30) = esk157_2(X29,X30)
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X29),X30) = bot_bo1055319631e_bool ) ),
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_1222])])])])])]) ).
fof(c_0_2078,plain,
! [X21,X22,X23,X24] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X24))
| X21 != hAPP_p1842370726_state(X22,X23)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),hAPP_f631639356e_bool(image_275883510_state(X22),X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1223])]) ).
fof(c_0_2079,plain,
! [X21,X22,X23,X24] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X24))
| X21 != hAPP_H1344248906_pname(X22,X23)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),hAPP_f1745235422e_bool(image_1925245338_pname(X22),X24))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1224])]) ).
fof(c_0_2080,plain,
! [X21,X22,X23,X24] :
( X22 != hAPP_p1842370726_state(X23,X24)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),hAPP_f631639356e_bool(image_275883510_state(X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1225])]) ).
fof(c_0_2081,plain,
! [X21,X22,X23,X24] :
( X22 != hAPP_H1344248906_pname(X23,X24)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),hAPP_f1745235422e_bool(image_1925245338_pname(X23),X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1226])]) ).
fof(c_0_2082,plain,
! [X12,X13,X14,X15] :
( ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X12))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X13))) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X13))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X12),X13))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X14))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X15))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X14),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_1227])])])])]) ).
fof(c_0_2083,plain,
! [X12,X13,X14,X15] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X13))) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X12),X13))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X14))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X15))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X14),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_1228])])])])]) ).
fof(c_0_2084,plain,
! [X12,X13,X14,X15] :
( ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X12))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X12),X13))) )
& ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X13))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X12),X13))) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X14))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X15))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X14),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_1229])])])])]) ).
fof(c_0_2085,plain,
! [X12,X13,X14,X15] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X12),X13))) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X12),X13))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X14))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X15))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X14),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_1230])])])])]) ).
fof(c_0_2086,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X14)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X16))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X15),X16))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1231])])])]) ).
fof(c_0_2087,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X14)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X16))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X15),X16))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1232])])])]) ).
fof(c_0_2088,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X13),X14)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X14)) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X16))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X15),X16))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1233])])])]) ).
fof(c_0_2089,plain,
! [X13,X14,X15,X16] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X13),X14)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X14)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X16))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X15),X16))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1234])])])]) ).
fof(c_0_2090,plain,
! [X23,X24,X25] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X24),X25))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X24),X23)),X25) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X23),X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1235])]) ).
fof(c_0_2091,plain,
! [X23,X24,X25] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X25))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X24),X23)),X25) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X23),X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1236])]) ).
fof(c_0_2092,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite959343283e_bool(X20,X21))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X18),X19))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X20,X18),hAPP_f772567431e_bool(X21,X19)) = hAPP_f772567431e_bool(X21,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1237])]) ).
fof(c_0_2093,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite1268145088e_bool(X20,X21))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X18),X19))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X20,X18),hAPP_f674760225e_bool(X21,X19)) = hAPP_f674760225e_bool(X21,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1238])]) ).
fof(c_0_2094,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite506823037_state(X20,X21))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X18),X19))
| hAPP_H563960305_state(hAPP_H521649881_state(X20,X18),hAPP_f2143211163_state(X21,X19)) = hAPP_f2143211163_state(X21,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1239])]) ).
fof(c_0_2095,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite89670078_pname(X20,X21))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
| hAPP_pname_pname(hAPP_p1170154830_pname(X20,X18),hAPP_f1297739591_pname(X21,X19)) = hAPP_f1297739591_pname(X21,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1240])]) ).
fof(c_0_2096,plain,
! [X21,X22,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)),X23) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X23)),
inference(variable_rename,[status(thm)],[c_0_1241]) ).
fof(c_0_2097,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),X26) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)),
inference(variable_rename,[status(thm)],[c_0_1242]) ).
fof(c_0_2098,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),X26) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)),
inference(variable_rename,[status(thm)],[c_0_1243]) ).
fof(c_0_2099,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X23),X24)),X25) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),
inference(variable_rename,[status(thm)],[c_0_1244]) ).
fof(c_0_2100,plain,
! [X23,X24,X25] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X23),X24)),X25) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X23),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X24),X25)),
inference(variable_rename,[status(thm)],[c_0_1245]) ).
fof(c_0_2101,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X24)),X25) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)),
inference(variable_rename,[status(thm)],[c_0_1246]) ).
fof(c_0_2102,plain,
! [X20,X21,X22] :
( ( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X22) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)
| X22 = X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X22) )
& ( X22 != X20
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X22) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X20))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1247])])]) ).
fof(c_0_2103,plain,
! [X13,X14] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X14),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14),
inference(variable_rename,[status(thm)],[c_0_1248]) ).
fof(c_0_2104,plain,
! [X13,X14] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X14),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14),
inference(variable_rename,[status(thm)],[c_0_1249]) ).
fof(c_0_2105,plain,
! [X67] : hAPP_f2143211163_state(the_el23965208_state,X67) = hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X67)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))),
inference(variable_rename,[status(thm)],[c_0_1250]) ).
fof(c_0_2106,plain,
! [X67] : hAPP_f1297739591_pname(the_elem_pname,X67) = hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X67)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))),
inference(variable_rename,[status(thm)],[c_0_1251]) ).
fof(c_0_2107,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60] :
( ( X49 = X52
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X49),X50),X51) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X52),X53),X54) )
& ( X50 = X53
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X49),X50),X51) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X52),X53),X54) )
& ( X51 = X54
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X49),X50),X51) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X52),X53),X54) )
& ( X55 != X58
| X56 != X59
| X57 != X60
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X55),X56),X57) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X58),X59),X60) ) ),
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_1252])])])])]) ).
fof(c_0_2108,plain,
! [X20,X21,X22] :
( ( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X22) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)
| X22 = X20
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22)) )
& ( X22 != X20
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X22) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1253])])]) ).
fof(c_0_2109,plain,
! [X18,X19,X20] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X18,X19)),hAPP_f631639356e_bool(image_275883510_state(X18),X20)) = hAPP_f631639356e_bool(image_275883510_state(X18),X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1254])]) ).
fof(c_0_2110,plain,
! [X18,X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),X20))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X18,X19)),hAPP_f1745235422e_bool(image_1925245338_pname(X18),X20)) = hAPP_f1745235422e_bool(image_1925245338_pname(X18),X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1255])]) ).
fof(c_0_2111,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X13))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X12))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X13),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1256])]) ).
fof(c_0_2112,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X13),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1257])]) ).
fof(c_0_2113,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X13))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X12))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X13),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1258])]) ).
fof(c_0_2114,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X13),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1259])]) ).
fof(c_0_2115,plain,
! [X19,X20] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| X19 != X20
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| X19 != X20
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| X19 = X20
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1260])])]) ).
fof(c_0_2116,plain,
! [X19,X20] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| X20 = X19
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) )
& ( X20 != X19
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1261])])]) ).
fof(c_0_2117,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| X19 = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1262])]) ).
fof(c_0_2118,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X19))
| X20 = X19 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1263])]) ).
fof(c_0_2119,plain,
! [X20,X21] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| X20 != X21
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
| X20 != X21
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
| X20 = X21
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1264])])]) ).
fof(c_0_2120,plain,
! [X20,X21] :
( ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
| X20 = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1265])]) ).
fof(c_0_2121,plain,
! [X18,X19,X20,X21] :
( ~ is_fun1661590463l_bool(X19)
| ~ hBOOL(finite1268145088e_bool(X20,X21))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19))
| X19 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X21,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X18),X19)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X20,X18),hAPP_f674760225e_bool(X21,X19)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1266])])])]) ).
fof(c_0_2122,plain,
! [X18,X19,X20,X21] :
( ~ is_fun_pname_bool(X19)
| ~ hBOOL(finite89670078_pname(X20,X21))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19))
| X19 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X21,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),X19)) = hAPP_pname_pname(hAPP_p1170154830_pname(X20,X18),hAPP_f1297739591_pname(X21,X19)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1267])])])]) ).
fof(c_0_2123,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite959343283e_bool(X20,X21))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X19))
| X19 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X21,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X18),X19)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X20,X18),hAPP_f772567431e_bool(X21,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1268])]) ).
fof(c_0_2124,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(finite506823037_state(X20,X21))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X19))
| X19 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X21,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),X19)) = hAPP_H563960305_state(hAPP_H521649881_state(X20,X18),hAPP_f2143211163_state(X21,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1269])]) ).
fof(c_0_2125,plain,
! [X20,X21,X22] : hAPP_f631639356e_bool(image_275883510_state(X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X20),X21)),hAPP_f631639356e_bool(image_275883510_state(X20),X22)),
inference(variable_rename,[status(thm)],[c_0_1270]) ).
fof(c_0_2126,plain,
! [X19,X20,X21,X22] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| X19 != X20 )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X19))
| X19 != X20 )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X21))
| X21 = 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_1271])])])])]) ).
fof(c_0_2127,plain,
! [X19,X20] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X19))
| X20 = X19
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20)) )
& ( X20 != X19
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X19))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1272])])]) ).
fof(c_0_2128,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X19))
| X19 = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1273])]) ).
fof(c_0_2129,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X19))
| X20 = X19 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1274])]) ).
fof(c_0_2130,plain,
! [X20,X21,X22,X23] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| X20 != X21 )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X20))
| X20 != X21 )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X22))
| X22 = X23 ) ),
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_1275])])])])]) ).
fof(c_0_2131,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X20))
| X20 = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1276])]) ).
fof(c_0_2132,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),X9))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X8),X7))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1277])]) ).
fof(c_0_2133,plain,
! [X6,X7,X8] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X8))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X6),X8))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1278])]) ).
fof(c_0_2134,plain,
! [X20,X21,X22] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X21),X22))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X22),X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1279])]) ).
fof(c_0_2135,plain,
! [X20,X21,X22] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X22))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X22),X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1280])]) ).
fof(c_0_2136,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_H513860823e_bool(X21,X22))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1281])]) ).
fof(c_0_2137,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP_H513860823e_bool(X21,X22))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1282])]) ).
fof(c_0_2138,plain,
! [X20,X21,X22] :
( ( ~ hBOOL(hAPP_H513860823e_bool(X21,X22))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21),X22)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X20,X22))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21),X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1283])])]) ).
fof(c_0_2139,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20))),
inference(variable_rename,[status(thm)],[c_0_1284]) ).
fof(c_0_2140,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20))),
inference(variable_rename,[status(thm)],[c_0_1285]) ).
fof(c_0_2141,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20))),
inference(variable_rename,[status(thm)],[c_0_1286]) ).
fof(c_0_2142,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20))),
inference(variable_rename,[status(thm)],[c_0_1287]) ).
fof(c_0_2143,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X19))),
inference(variable_rename,[status(thm)],[c_0_1288]) ).
fof(c_0_2144,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X19))),
inference(variable_rename,[status(thm)],[c_0_1289]) ).
fof(c_0_2145,plain,
! [X19,X20] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X19))),
inference(variable_rename,[status(thm)],[c_0_1290]) ).
fof(c_0_2146,plain,
! [X19,X20] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X19))),
inference(variable_rename,[status(thm)],[c_0_1291]) ).
fof(c_0_2147,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21))),
inference(variable_rename,[status(thm)],[c_0_1292]) ).
fof(c_0_2148,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21))),
inference(variable_rename,[status(thm)],[c_0_1293]) ).
fof(c_0_2149,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20))),
inference(variable_rename,[status(thm)],[c_0_1294]) ).
fof(c_0_2150,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X20))),
inference(variable_rename,[status(thm)],[c_0_1295]) ).
fof(c_0_2151,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X20))),
inference(variable_rename,[status(thm)],[c_0_1296]) ).
fof(c_0_2152,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X20))),
inference(variable_rename,[status(thm)],[c_0_1297]) ).
fof(c_0_2153,plain,
! [X20,X21] : hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21))),
inference(variable_rename,[status(thm)],[c_0_1298]) ).
fof(c_0_2154,plain,
! [X20,X21] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21))),
inference(variable_rename,[status(thm)],[c_0_1299]) ).
fof(c_0_2155,plain,
! [X20,X21,X22] : hAPP_f631639356e_bool(image_275883510_state(X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X22)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X20,X21)),hAPP_f631639356e_bool(image_275883510_state(X20),X22)),
inference(variable_rename,[status(thm)],[c_0_1300]) ).
fof(c_0_2156,plain,
! [X20,X21,X22] : hAPP_f1745235422e_bool(image_1925245338_pname(X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X22)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X20,X21)),hAPP_f1745235422e_bool(image_1925245338_pname(X20),X22)),
inference(variable_rename,[status(thm)],[c_0_1301]) ).
fof(c_0_2157,plain,
! [X21,X22,X23] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X23)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X23)),
inference(variable_rename,[status(thm)],[c_0_1302]) ).
fof(c_0_2158,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X26)),
inference(variable_rename,[status(thm)],[c_0_1303]) ).
fof(c_0_2159,plain,
! [X24,X25,X26] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),X26)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X25),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X26)),
inference(variable_rename,[status(thm)],[c_0_1304]) ).
fof(c_0_2160,plain,
! [X20,X21,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),X22)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X22)),
inference(variable_rename,[status(thm)],[c_0_1305]) ).
fof(c_0_2161,plain,
! [X20,X21,X22] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),X22)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X22)),
inference(variable_rename,[status(thm)],[c_0_1306]) ).
fof(c_0_2162,plain,
! [X23,X24,X25] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),X25)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X24),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X23),X25)),
inference(variable_rename,[status(thm)],[c_0_1307]) ).
fof(c_0_2163,plain,
! [X19,X20,X21] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X19),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),X21)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X20),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X19),X21)),
inference(variable_rename,[status(thm)],[c_0_1308]) ).
fof(c_0_2164,plain,
! [X19,X20,X21] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X19),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),X21)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X19),X21)),
inference(variable_rename,[status(thm)],[c_0_1309]) ).
fof(c_0_2165,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X21),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1310])]) ).
fof(c_0_2166,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X21),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1311])]) ).
fof(c_0_2167,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X21),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1312])]) ).
fof(c_0_2168,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X21),X20))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1313])]) ).
fof(c_0_2169,plain,
! [X12,X13] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X13))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X13),X12))) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X12))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X13),X12))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1314])])]) ).
fof(c_0_2170,plain,
! [X12,X13] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X13),X12))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X13),X12))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1315])])]) ).
fof(c_0_2171,plain,
! [X12,X13] :
( ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X13))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X13),X12))) )
& ( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X12))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X13),X12))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1316])])]) ).
fof(c_0_2172,plain,
! [X12,X13] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X13),X12))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X13),X12))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1317])])]) ).
fof(c_0_2173,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X14))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1318])]) ).
fof(c_0_2174,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X14))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1319])]) ).
fof(c_0_2175,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X14))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X13),X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1320])]) ).
fof(c_0_2176,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X14))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X13),X14))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1321])]) ).
fof(c_0_2177,plain,
! [X13,X14] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),bot_bo1055319631e_bool)),X14),
inference(variable_rename,[status(thm)],[c_0_1322]) ).
fof(c_0_2178,plain,
! [X13,X14] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),bot_bo844097828e_bool)),X14),
inference(variable_rename,[status(thm)],[c_0_1323]) ).
fof(c_0_2179,plain,
! [X22,X23] :
( ( hBOOL(hAPP_H513860823e_bool(X23,esk137_2(X22,X23)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X22)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X22,esk137_2(X22,X23)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X22)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1324])])])]) ).
fof(c_0_2180,plain,
! [X22,X23] :
( ( is_pname(esk136_2(X22,X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
& ( hBOOL(hAPP_pname_bool(X23,esk136_2(X22,X23)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) )
& ( ~ hBOOL(hAPP_pname_bool(X22,esk136_2(X22,X23)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X22)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1325])])])]) ).
fof(c_0_2181,plain,
! [X21,X22,X23] :
( X22 != X23
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X23),X21))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1326])]) ).
fof(c_0_2182,plain,
! [X21,X22,X23] :
( X22 != X23
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X23),X21))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1327])]) ).
fof(c_0_2183,plain,
! [X21,X22,X23] :
( X22 != X23
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X23))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1328])]) ).
fof(c_0_2184,plain,
! [X21,X22,X23] :
( X22 != X23
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X23))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1329])]) ).
fof(c_0_2185,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| X23 != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1330])]) ).
fof(c_0_2186,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| X23 != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1331])]) ).
fof(c_0_2187,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23))
| X22 != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1332])]) ).
fof(c_0_2188,plain,
! [X21,X22,X23] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X22),X23))
| X22 != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1333])]) ).
fof(c_0_2189,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X19))
| ~ hBOOL(hAPP_H513860823e_bool(X18,X17))
| hBOOL(hAPP_H513860823e_bool(X19,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1334])]) ).
fof(c_0_2190,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X19))
| ~ hBOOL(hAPP_pname_bool(X18,X17))
| hBOOL(hAPP_pname_bool(X19,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1335])]) ).
fof(c_0_2191,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_H513860823e_bool(X18,X19))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X18),X17))
| hBOOL(hAPP_H513860823e_bool(X17,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1336])]) ).
fof(c_0_2192,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_pname_bool(X18,X19))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X17))
| hBOOL(hAPP_pname_bool(X17,X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1337])]) ).
fof(c_0_2193,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1338])]) ).
fof(c_0_2194,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1339])]) ).
fof(c_0_2195,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X20),X21))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1340])]) ).
fof(c_0_2196,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1341])]) ).
fof(c_0_2197,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X21))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1342])]) ).
fof(c_0_2198,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X21))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1343])]) ).
fof(c_0_2199,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X20),X21))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X21))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1344])]) ).
fof(c_0_2200,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X20),X21))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X21))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1345])]) ).
fof(c_0_2201,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X18),X19))
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X17)),X19) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),bot_bo1055319631e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1346])]) ).
fof(c_0_2202,plain,
! [X17,X18,X19] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X18),X19))
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X17)),X19) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1347])]) ).
fof(c_0_2203,plain,
! [X42,X45,X46] :
( ( is_pname(esk72_1(X42))
| X42 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X42) )
& ( is_fun_pname_bool(esk73_1(X42))
| X42 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X42) )
& ( X42 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk72_1(X42)),esk73_1(X42))
| X42 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X42) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk72_1(X42)),esk73_1(X42)))
| X42 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X42) )
& ( ~ is_pname(X45)
| ~ is_fun_pname_bool(X46)
| X42 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X45),X46)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X45),X46))
| X42 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X42) ) ),
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_1348])])])])])]) ).
fof(c_0_2204,plain,
! [X41,X42] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X41),dom_pname_com(X42)))
| hAPP_p799580910on_com(X42,X41) = some_com(esk69_2(X41,X42)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1349])])]) ).
fof(c_0_2205,plain,
! [X42,X45,X46,X47] :
( ( X42 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk74_1(X42)),esk75_1(X42))
| X42 = bot_bo1055319631e_bool )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk74_1(X42)),esk75_1(X42)))
| X42 = bot_bo1055319631e_bool )
& ( X45 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X46),X47)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X46),X47))
| X45 != bot_bo1055319631e_bool ) ),
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_1350])])])])])]) ).
fof(c_0_2206,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X8),X9))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X8))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X7),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1351])]) ).
fof(c_0_2207,plain,
! [X78,X79] :
( ~ hBOOL(hAPP_com_bool(wt,X79))
| ~ hBOOL(hAPP_com_bool(wt,X78))
| hBOOL(hAPP_com_bool(wt,semi(X79,X78))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1352])]) ).
fof(c_0_2208,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X19)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X20),X19) = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1353])])])]) ).
fof(c_0_2209,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X19)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20) = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1354])])])]) ).
fof(c_0_2210,plain,
! [X19,X20,X21] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X20) = X19
| ~ is_fun_pname_bool(X19) )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X19),X21) != X19
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X21))
| ~ is_fun_pname_bool(X19) ) ),
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_1355])])])])]) ).
fof(c_0_2211,plain,
! [X20,X21] :
( ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X20),X21) = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1356])])])]) ).
fof(c_0_2212,plain,
! [X20,X21] :
( ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X21),X20) = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1357])])])]) ).
fof(c_0_2213,plain,
! [X19,X20] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) = X20
| ~ is_fun_pname_bool(X20) )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) != X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| ~ is_fun_pname_bool(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1358])])]) ).
fof(c_0_2214,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1359])]) ).
fof(c_0_2215,plain,
! [X19,X20] :
( ~ is_fun_pname_bool(X20)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X19) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1360])]) ).
fof(c_0_2216,plain,
! [X20,X21] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) = X21
| ~ is_fun_pname_bool(X21) )
& ( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| ~ is_fun_pname_bool(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1361])])]) ).
fof(c_0_2217,plain,
! [X20,X21] :
( ~ is_fun_pname_bool(X21)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1362])]) ).
fof(c_0_2218,plain,
! [X20,X21] :
( ~ is_fun_pname_bool(X21)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X21),X20) = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1363])]) ).
fof(c_0_2219,plain,
! [X13,X14] :
( ~ is_fun_pname_bool(X14)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14) = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1364])]) ).
fof(c_0_2220,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X5),X6))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1365])]) ).
fof(c_0_2221,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X20),X19) = X19 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1366])]) ).
fof(c_0_2222,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20) = X19 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1367])]) ).
fof(c_0_2223,plain,
! [X19,X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20) = X19 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X22) != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1368])])])]) ).
fof(c_0_2224,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X20),X21) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1369])]) ).
fof(c_0_2225,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X21),X20) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1370])]) ).
fof(c_0_2226,plain,
! [X19,X20,X21,X22] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) = X20 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22) != X22
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X22)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1371])])])]) ).
fof(c_0_2227,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1372])]) ).
fof(c_0_2228,plain,
! [X19,X20] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X19) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1373])]) ).
fof(c_0_2229,plain,
! [X20,X21,X22,X23] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) = X21 )
& ( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X23) != X23
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X22),X23)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1374])])])]) ).
fof(c_0_2230,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1375])]) ).
fof(c_0_2231,plain,
! [X20,X21] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20) = X21 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1376])]) ).
fof(c_0_2232,plain,
! [X13,X14] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X13),X14))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14) = X14 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1377])]) ).
fof(c_0_2233,plain,
! [X69,X70] :
( ( hBOOL(hAPP_com_bool(wt,X69))
| ~ hBOOL(hAPP_com_bool(wt,semi(X69,X70))) )
& ( hBOOL(hAPP_com_bool(wt,X70))
| ~ hBOOL(hAPP_com_bool(wt,semi(X69,X70))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1378])])]) ).
fof(c_0_2234,plain,
! [X21,X22] :
( ~ hBOOL(hAPP_com_bool(wt,while(X21,X22)))
| hBOOL(hAPP_com_bool(wt,X22)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1379])]) ).
fof(c_0_2235,plain,
! [X37,X40,X41] :
( ( is_fun_pname_bool(esk53_1(X37))
| X37 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) )
& ( is_pname(esk54_1(X37))
| X37 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) )
& ( X37 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk54_1(X37)),esk53_1(X37))
| X37 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk53_1(X37)))
| X37 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) )
& ( X37 != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) )
& ( ~ is_fun_pname_bool(X40)
| ~ is_pname(X41)
| X37 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X41),X40)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X40))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X37))
| ~ is_fun_pname_bool(X37) ) ),
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_1380])])])])])]) ).
fof(c_0_2236,plain,
! [X37,X40,X41] :
( ( is_fun1661590463l_bool(esk49_1(X37))
| X37 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) )
& ( is_fun_pname_bool(esk50_1(X37))
| X37 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) )
& ( X37 = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk50_1(X37)),esk49_1(X37))
| X37 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk49_1(X37)))
| X37 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) )
& ( X37 != bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) )
& ( ~ is_fun1661590463l_bool(X40)
| ~ is_fun_pname_bool(X41)
| X37 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X41),X40)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X40))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X37))
| ~ is_fun1661590463l_bool(X37) ) ),
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_1381])])])])])]) ).
fof(c_0_2237,plain,
! [X101,X102,X103] : hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X101),X102),X103) = hAPP_H521649881_state(hAPP_p964374716_state(X101,X103),hAPP_p1842370726_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1382]) ).
fof(c_0_2238,plain,
! [X101,X102,X103] : hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X101),X102),X103) = hAPP_c408625258_state(hAPP_p2032835427_state(X101,X103),hAPP_pname_com(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1383]) ).
fof(c_0_2239,plain,
! [X101,X102,X103] : hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X101),X102),X103) = hAPP_f588507005_state(hAPP_p1712839024_state(X101,X103),hAPP_p1637813682e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1384]) ).
fof(c_0_2240,plain,
! [X101,X102,X103] : hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X101),X102),X103) = hAPP_H563960305_state(hAPP_p80247908_state(X101,X103),hAPP_p1842370726_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1385]) ).
fof(c_0_2241,plain,
! [X101,X102,X103] : hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X101),X102),X103) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X101,X103),hAPP_p799580910on_com(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1386]) ).
fof(c_0_2242,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_f1508101115l_bool(X101,X103),hAPP_f1760790145l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1387]) ).
fof(c_0_2243,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_H226398757l_bool(X101,X103),hAPP_H513860823e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1388]) ).
fof(c_0_2244,plain,
! [X101,X102,X103] : hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X101),X102),X103) = hAPP_o356497025on_com(hAPP_p1086945780on_com(X101,X103),hAPP_p799580910on_com(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1389]) ).
fof(c_0_2245,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_f1476298914l_bool(X101,X103),hAPP_f1664156314l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1390]) ).
fof(c_0_2246,plain,
! [X101,X102,X103] : hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_s58564346l_bool(X101,X103),hAPP_state_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1391]) ).
fof(c_0_2247,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_p393069232l_bool(X101,X103),hAPP_pname_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1392]) ).
fof(c_0_2248,plain,
! [X63,X64] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X63),set_pname(X64)))
| X64 = some_pname(X63)
| ~ is_option_pname(X64) )
& ( X64 != some_pname(X63)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X63),set_pname(X64)))
| ~ is_option_pname(X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1393])])]) ).
fof(c_0_2249,plain,
! [X88,X89] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X88),X89))
| X89 = X88 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1394])]) ).
fof(c_0_2250,plain,
! [X17,X18,X19,X20] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X17),X18))
| hBOOL(hAPP_H513860823e_bool(X18,X17)) )
& ( ~ hBOOL(hAPP_H513860823e_bool(X20,X19))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),X20)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1395])])])]) ).
fof(c_0_2251,plain,
! [X17,X18,X19,X20] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X17),X18))
| hBOOL(hAPP_pname_bool(X18,X17)) )
& ( ~ hBOOL(hAPP_pname_bool(X20,X19))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X19),X20)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1396])])])]) ).
fof(c_0_2252,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1397])]) ).
fof(c_0_2253,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X13))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1398])]) ).
fof(c_0_2254,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1399])]) ).
fof(c_0_2255,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X13))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1400])]) ).
fof(c_0_2256,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X13))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1401])]) ).
fof(c_0_2257,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1402])]) ).
fof(c_0_2258,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X13))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1403])]) ).
fof(c_0_2259,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X13))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1404])]) ).
fof(c_0_2260,plain,
! [X12,X13] :
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X13))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X12),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1405])]) ).
fof(c_0_2261,plain,
! [X21,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22),
inference(variable_rename,[status(thm)],[c_0_1406]) ).
fof(c_0_2262,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20),
inference(variable_rename,[status(thm)],[c_0_1407]) ).
fof(c_0_2263,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20),
inference(variable_rename,[status(thm)],[c_0_1408]) ).
fof(c_0_2264,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21),
inference(variable_rename,[status(thm)],[c_0_1409]) ).
fof(c_0_2265,plain,
! [X17,X18] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),X18)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),X18),
inference(variable_rename,[status(thm)],[c_0_1410]) ).
fof(c_0_2266,plain,
! [X17,X18] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),X18)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),X18),
inference(variable_rename,[status(thm)],[c_0_1411]) ).
fof(c_0_2267,plain,
! [X63,X64,X65,X66] :
( ( ~ hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X63),set_com(X64)))
| X64 = some_com(X63) )
& ( X66 != some_com(X65)
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X65),set_com(X66))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1412])])])]) ).
fof(c_0_2268,plain,
! [X63,X64,X65,X66] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X63),set_Ho1831989999_state(X64)))
| X64 = some_H1133819688_state(X63) )
& ( X66 != some_H1133819688_state(X65)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X65),set_Ho1831989999_state(X66))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1413])])])]) ).
fof(c_0_2269,plain,
! [X22,X23] :
( ( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X22))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X22),bot_bo1055319631e_bool)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),bot_bo1055319631e_bool))
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X23)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1414])])])]) ).
fof(c_0_2270,plain,
! [X22,X23] :
( ( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X22))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X22),bot_bo844097828e_bool)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),bot_bo844097828e_bool))
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X23)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1415])])])]) ).
fof(c_0_2271,plain,
! [X18,X19,X20] :
( ~ is_pname(X18)
| ~ hBOOL(finite1282449217_pname(X19,X20))
| hAPP_f1297739591_pname(X20,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool)) = X18 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1416])])])]) ).
fof(c_0_2272,plain,
! [X35] :
( ~ hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X35)))
| hAPP_p799580910on_com(body,X35) = some_com(esk27_1(X35)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1417])])]) ).
fof(c_0_2273,plain,
! [X22,X24] :
( ( is_pname(esk11_1(X22))
| X22 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X22) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk11_1(X22)),X22))
| X22 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X22) )
& ( X22 != bot_bo844097828e_bool
| ~ is_pname(X24)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X24),X22))
| ~ is_fun_pname_bool(X22) ) ),
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_1418])])])])]) ).
fof(c_0_2274,plain,
! [X22,X23] :
( ( ~ is_pname(X23)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X23),X22))
| X22 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X22) )
& ( is_pname(esk9_1(X22))
| X22 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X22) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk9_1(X22)),X22))
| X22 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X22) ) ),
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_1419])])])])]) ).
fof(c_0_2275,plain,
! [X100,X101] :
( ~ is_fun_pname_bool(X100)
| ~ is_fun_pname_bool(X101)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X100),X101))
| X100 = X101 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1420])]) ).
fof(c_0_2276,plain,
! [X100,X101] :
( ~ is_pname(X100)
| ~ is_pname(X101)
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X100),X101))
| X100 = X101 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1421])]) ).
fof(c_0_2277,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
c_0_1422 ).
fof(c_0_2278,plain,
! [X18,X19,X20] :
( ~ hBOOL(finite774711482_state(X19,X20))
| hAPP_f2143211163_state(X20,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X18),bot_bo1055319631e_bool)) = X18 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1423])]) ).
fof(c_0_2279,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X98),X99))
| ~ hBOOL(X98)
| hBOOL(X99) ),
inference(variable_rename,[status(thm)],[c_0_1424]) ).
fof(c_0_2280,plain,
! [X37,X40,X41,X42] :
( ( X37 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk56_1(X37)),esk55_1(X37))
| X37 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X37)) )
& ( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk55_1(X37)))
| X37 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X37)) )
& ( X40 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X40)) )
& ( X40 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X42),X41)
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X41))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X40)) ) ),
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_1425])])])])])]) ).
fof(c_0_2281,plain,
! [X37,X40,X41,X42] :
( ( X37 = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk52_1(X37)),esk51_1(X37))
| X37 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X37)) )
& ( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk51_1(X37)))
| X37 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X37)) )
& ( X40 != bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X40)) )
& ( X40 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X42),X41)
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X41))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X40)) ) ),
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_1426])])])])])]) ).
fof(c_0_2282,plain,
! [X83] : X83 = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,esk128_1(X83)),esk129_1(X83)),esk130_1(X83)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1427])])]) ).
fof(c_0_2283,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X98),X99))
| hBOOL(X98)
| hBOOL(X99) ),
inference(variable_rename,[status(thm)],[c_0_1428]) ).
fof(c_0_2284,plain,
! [X21,X22] :
( ~ is_pname(X21)
| ~ is_pname(X22)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X21),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X22),bot_bo844097828e_bool)
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1429])]) ).
fof(c_0_2285,plain,
! [X101,X102,X103] : hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X101),X102),X103) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1430]) ).
fof(c_0_2286,plain,
! [X101,X102,X103] : hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X101),X102),X103) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1431]) ).
fof(c_0_2287,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X101),X102),X103) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1432]) ).
fof(c_0_2288,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X101),X102),X103) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1433]) ).
fof(c_0_2289,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X101),X102),X103) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1434]) ).
fof(c_0_2290,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X101),X102),X103) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1435]) ).
fof(c_0_2291,plain,
! [X101,X102,X103] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X101),X102),X103) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1436]) ).
fof(c_0_2292,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X101),X102),X103) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1437]) ).
fof(c_0_2293,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X101),X102),X103) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1438]) ).
fof(c_0_2294,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X101),X102),X103) = hAPP_pname_bool(hAPP_f1745235422e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1439]) ).
fof(c_0_2295,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X101),X102),X103) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1440]) ).
fof(c_0_2296,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X101),X102),X103) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1441]) ).
fof(c_0_2297,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X101),X102),X103) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1442]) ).
fof(c_0_2298,plain,
! [X101,X102,X103] : hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X101),X102),X103) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1443]) ).
fof(c_0_2299,plain,
! [X101,X102,X103] : hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X101),X102),X103) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1444]) ).
fof(c_0_2300,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X101),X102),X103) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1445]) ).
fof(c_0_2301,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X101),X102),X103) = hAPP_pname_bool(hAPP_H1632039476e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1446]) ).
fof(c_0_2302,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X101),X102),X103) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1447]) ).
fof(c_0_2303,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X101),X102),X103) = hAPP_pname_bool(hAPP_f759274231e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1448]) ).
fof(c_0_2304,plain,
! [X101,X102,X103] : hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X101),X102),X103) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1449]) ).
fof(c_0_2305,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X101),X102),X103) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1450]) ).
fof(c_0_2306,plain,
! [X101,X102,X103] : hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X101),X102),X103) = hAPP_state_bool(hAPP_s1806633685e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1451]) ).
fof(c_0_2307,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X101),X102),X103) = hAPP_pname_bool(hAPP_p61793385e_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1452]) ).
fof(c_0_2308,plain,
! [X101,X102,X103] : hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X101),X102),X103) = hAPP_bool_bool(hAPP_s58564346l_bool(X101,X103),X102),
inference(variable_rename,[status(thm)],[c_0_1453]) ).
fof(c_0_2309,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X98),X99))
| hBOOL(X99) ),
inference(variable_rename,[status(thm)],[c_0_1454]) ).
fof(c_0_2310,plain,
! [X98,X99] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X98),X99))
| hBOOL(X98) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1455])])]) ).
fof(c_0_2311,plain,
! [X13] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X13),bot_bo844097828e_bool))
| X13 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X13) )
& ( X13 != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X13),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X13) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1456])])]) ).
fof(c_0_2312,plain,
! [X13] :
( ~ is_fun_pname_bool(X13)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X13),bot_bo844097828e_bool))
| X13 = bot_bo844097828e_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1457])]) ).
fof(c_0_2313,plain,
! [X10] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),bot_bo844097828e_bool))
| X10 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X10) )
& ( X10 != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X10) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1458])])]) ).
fof(c_0_2314,plain,
! [X21,X22] :
( ~ hBOOL(hAPP_com_bool(wt,X22))
| hBOOL(hAPP_com_bool(wt,while(X21,X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1459])]) ).
fof(c_0_2315,plain,
! [X22,X24,X25] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk12_1(X22)),X22))
| X22 = bot_bo1055319631e_bool )
& ( X24 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X25),X24)) ) ),
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_1460])])])])]) ).
fof(c_0_2316,plain,
! [X22,X23,X24] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X23),X22))
| X22 != bot_bo1055319631e_bool )
& ( X24 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk10_1(X24)),X24)) ) ),
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_1461])])])])]) ).
fof(c_0_2317,plain,
! [X13,X14] :
( X14 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X13),X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1462])]) ).
fof(c_0_2318,plain,
! [X13,X14] :
( X14 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1463])]) ).
fof(c_0_2319,plain,
! [X100,X101] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X100),X101))
| X100 = X101 ),
inference(variable_rename,[status(thm)],[c_0_1464]) ).
fof(c_0_2320,plain,
! [X100,X101] :
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X100),X101))
| X100 = X101 ),
inference(variable_rename,[status(thm)],[c_0_1465]) ).
fof(c_0_2321,plain,
! [X100,X101] :
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X100),X101))
| X100 = X101 ),
inference(variable_rename,[status(thm)],[c_0_1466]) ).
fof(c_0_2322,plain,
! [X29,X30,X31] :
( hAPP_p799580910on_com(X29,X30) != some_com(X31)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X30),dom_pname_com(X29))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1467])])])]) ).
fof(c_0_2323,plain,
! [X13,X14] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X13),bot_bo1055319631e_bool))
| X13 = bot_bo1055319631e_bool )
& ( X14 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X14),bot_bo1055319631e_bool)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1468])])])]) ).
fof(c_0_2324,plain,
! [X13] :
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X13),bot_bo1055319631e_bool))
| X13 = bot_bo1055319631e_bool ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1469])]) ).
fof(c_0_2325,plain,
! [X10,X11] :
( ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X10),bot_bo1055319631e_bool))
| X10 = bot_bo1055319631e_bool )
& ( X11 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X11),bot_bo1055319631e_bool)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1470])])])]) ).
fof(c_0_2326,plain,
! [X16] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X16),bot_bo1055319631e_bool)),
inference(variable_rename,[status(thm)],[c_0_1471]) ).
fof(c_0_2327,plain,
! [X16] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),bot_bo844097828e_bool)),
inference(variable_rename,[status(thm)],[c_0_1472]) ).
fof(c_0_2328,plain,
! [X13] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X13),bot_bo1055319631e_bool)),
inference(variable_rename,[status(thm)],[c_0_1473]) ).
fof(c_0_2329,plain,
! [X13] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),bot_bo844097828e_bool)),
inference(variable_rename,[status(thm)],[c_0_1474]) ).
fof(c_0_2330,plain,
! [X21,X22] :
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X21),bot_bo1055319631e_bool) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X22),bot_bo1055319631e_bool)
| X21 = X22 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1475])]) ).
fof(c_0_2331,plain,
! [X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X13)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),bot_bo1055319631e_bool),
inference(variable_rename,[status(thm)],[c_0_1476]) ).
fof(c_0_2332,plain,
! [X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X13)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X13),bot_bo1325454745l_bool),
inference(variable_rename,[status(thm)],[c_0_1477]) ).
fof(c_0_2333,plain,
! [X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X13)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X13),bot_bo1649642514l_bool),
inference(variable_rename,[status(thm)],[c_0_1478]) ).
fof(c_0_2334,plain,
! [X13] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X13)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),bot_bo844097828e_bool),
inference(variable_rename,[status(thm)],[c_0_1479]) ).
fof(c_0_2335,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),X20)) = X19,
inference(variable_rename,[status(thm)],[c_0_1480]) ).
fof(c_0_2336,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X19),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20)) = X19,
inference(variable_rename,[status(thm)],[c_0_1481]) ).
fof(c_0_2337,plain,
! [X5,X6] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X5),X6))
| hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X5),X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1482])]) ).
fof(c_0_2338,plain,
! [X35] :
( ( is_pname(esk142_1(X35))
| X35 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X35) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk142_1(X35)),X35))
| X35 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X35) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1483])])])]) ).
fof(c_0_2339,plain,
! [X35] :
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk143_1(X35)),X35))
| X35 = bot_bo1055319631e_bool ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1484])])]) ).
fof(c_0_2340,plain,
! [X16] : hAPP_c1546227244_state(hoare_Mirabelle_MGT,X16) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X16),evalc(X16)),
inference(variable_rename,[status(thm)],[c_0_1485]) ).
fof(c_0_2341,plain,
! [X87] : hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X87),X87)),
inference(variable_rename,[status(thm)],[c_0_1486]) ).
fof(c_0_2342,plain,
! [X101,X102,X103] : hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X101),X102),X103) = hAPP_f854625363l_bool(X101,hAPP_H1645666623e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1487]) ).
fof(c_0_2343,plain,
! [X101,X102,X103] : hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X101),X102),X103) = hAPP_f1949912908_state(X101,hAPP_p1637813682e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1488]) ).
fof(c_0_2344,plain,
! [X101,X102,X103] : hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X101),X102),X103) = hAPP_b798484845_state(X101,hAPP_pname_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1489]) ).
fof(c_0_2345,plain,
! [X101,X102,X103] : hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X101),X102),X103) = hAPP_H1645666623e_bool(X101,hAPP_f2143211163_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1490]) ).
fof(c_0_2346,plain,
! [X101,X102,X103] : hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X101),X102),X103) = hAPP_f854625363l_bool(X101,hAPP_p877885514e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1491]) ).
fof(c_0_2347,plain,
! [X101,X102,X103] : hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X101),X102),X103) = hAPP_H1645666623e_bool(X101,hAPP_H563960305_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1492]) ).
fof(c_0_2348,plain,
! [X101,X102,X103] : hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X101),X102),X103) = hAPP_H1645666623e_bool(X101,hAPP_f1308959284_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1493]) ).
fof(c_0_2349,plain,
! [X101,X102,X103] : hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X101),X102),X103) = hAPP_f644196280e_bool(X101,hAPP_s2001034685l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1494]) ).
fof(c_0_2350,plain,
! [X101,X102,X103] : hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X101),X102),X103) = hAPP_f434788991l_bool(X101,hAPP_H1632039476e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1495]) ).
fof(c_0_2351,plain,
! [X101,X102,X103] : hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X101),X102),X103) = hAPP_H1645666623e_bool(X101,hAPP_p1842370726_state(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1496]) ).
fof(c_0_2352,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X101),X102),X103) = hAPP_f1760790145l_bool(X101,hAPP_H1645666623e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1497]) ).
fof(c_0_2353,plain,
! [X101,X102,X103] : hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X101),X102),X103) = hAPP_b1679505845on_com(X101,hAPP_pname_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1498]) ).
fof(c_0_2354,plain,
! [X101,X102,X103] : hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X101),X102),X103) = hAPP_f167292325e_bool(X101,hAPP_s2001034685l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1499]) ).
fof(c_0_2355,plain,
! [X101,X102,X103] : hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X101),X102),X103) = hAPP_p61793385e_bool(X101,hAPP_f1008690464_pname(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1500]) ).
fof(c_0_2356,plain,
! [X101,X102,X103] : hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X101),X102),X103) = hAPP_b589554111l_bool(X101,hAPP_f1760790145l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1501]) ).
fof(c_0_2357,plain,
! [X101,X102,X103] : hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X101),X102),X103) = hAPP_f1012183542e_bool(X101,hAPP_s336103912e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1502]) ).
fof(c_0_2358,plain,
! [X101,X102,X103] : hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X101),X102),X103) = hAPP_f1863945078e_bool(X101,hAPP_s1806633685e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1503]) ).
fof(c_0_2359,plain,
! [X101,X102,X103] : hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X101),X102),X103) = hAPP_f1259673775l_bool(X101,hAPP_s1806633685e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1504]) ).
fof(c_0_2360,plain,
! [X101,X102,X103] : hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X101),X102),X103) = hAPP_f434788991l_bool(X101,hAPP_p61793385e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1505]) ).
fof(c_0_2361,plain,
! [X101,X102,X103] : hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X101),X102),X103) = hAPP_p61793385e_bool(X101,hAPP_H1344248906_pname(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1506]) ).
fof(c_0_2362,plain,
! [X101,X102,X103] : hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X101),X102),X103) = hAPP_b589554111l_bool(X101,hAPP_H513860823e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1507]) ).
fof(c_0_2363,plain,
! [X101,X102,X103] : hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X101),X102),X103) = hAPP_bool_bool(X101,hAPP_f1760790145l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1508]) ).
fof(c_0_2364,plain,
! [X101,X102,X103] : hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X101),X102),X103) = hAPP_p61793385e_bool(X101,hAPP_f1297739591_pname(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1509]) ).
fof(c_0_2365,plain,
! [X101,X102,X103] : hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X101),X102),X103) = hAPP_b589554111l_bool(X101,hAPP_f1664156314l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1510]) ).
fof(c_0_2366,plain,
! [X101,X102,X103] : hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X101),X102),X103) = hAPP_bool_bool(X101,hAPP_H513860823e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1511]) ).
fof(c_0_2367,plain,
! [X101,X102,X103] : hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X101),X102),X103) = hAPP_c1546227244_state(X101,hAPP_pname_com(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1512]) ).
fof(c_0_2368,plain,
! [X101,X102,X103] : hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X101),X102),X103) = hAPP_p61793385e_bool(X101,hAPP_pname_pname(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1513]) ).
fof(c_0_2369,plain,
! [X101,X102,X103] : hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X101),X102),X103) = hAPP_f327114704l_bool(X101,hAPP_s1806633685e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1514]) ).
fof(c_0_2370,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X101),X102),X103) = hAPP_f1664156314l_bool(X101,hAPP_p61793385e_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1515]) ).
fof(c_0_2371,plain,
! [X101,X102,X103] : hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X101),X102),X103) = hAPP_b589554111l_bool(X101,hAPP_state_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1516]) ).
fof(c_0_2372,plain,
! [X101,X102,X103] : hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X101),X102),X103) = hAPP_b589554111l_bool(X101,hAPP_pname_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1517]) ).
fof(c_0_2373,plain,
! [X101,X102,X103] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X101),X102),X103) = hAPP_bool_bool(X101,hAPP_f1664156314l_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1518]) ).
fof(c_0_2374,plain,
! [X101,X102,X103] : hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X101),X102),X103) = hAPP_option_com_com(X101,hAPP_p799580910on_com(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1519]) ).
fof(c_0_2375,plain,
! [X101,X102,X103] : hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X101),X102),X103) = hAPP_bool_bool(X101,hAPP_state_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1520]) ).
fof(c_0_2376,plain,
! [X101,X102,X103] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X101),X102),X103) = hAPP_bool_bool(X101,hAPP_pname_bool(X102,X103)),
inference(variable_rename,[status(thm)],[c_0_1521]) ).
fof(c_0_2377,plain,
! [X98,X99] :
( ~ hBOOL(X99)
| ~ hBOOL(X98)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X99),X98)) ),
inference(variable_rename,[status(thm)],[c_0_1522]) ).
fof(c_0_2378,plain,
! [X17] :
( ~ is_pname(X17)
| hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),bot_bo844097828e_bool)) = X17 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1523])]) ).
fof(c_0_2379,plain,
! [X98,X99] :
( ~ hBOOL(X99)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X98),X99)) ),
inference(variable_rename,[status(thm)],[c_0_1524]) ).
fof(c_0_2380,plain,
! [X98,X99] :
( ~ hBOOL(X99)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X98),X99)) ),
inference(variable_rename,[status(thm)],[c_0_1525]) ).
fof(c_0_2381,plain,
! [X98,X99] :
( ~ hBOOL(X99)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X99),X98)) ),
inference(variable_rename,[status(thm)],[c_0_1526]) ).
fof(c_0_2382,plain,
! [X17] : hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),bot_bo1055319631e_bool)) = X17,
inference(variable_rename,[status(thm)],[c_0_1527]) ).
fof(c_0_2383,plain,
! [X100,X101] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X100),X101) = X101,
inference(variable_rename,[status(thm)],[c_0_1528]) ).
fof(c_0_2384,plain,
! [X100,X101] : hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X100),X101) = X100,
inference(variable_rename,[status(thm)],[c_0_1529]) ).
fof(c_0_2385,plain,
! [X100,X101] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X100),X101) = X101,
inference(variable_rename,[status(thm)],[c_0_1530]) ).
fof(c_0_2386,plain,
! [X100,X101] : hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X100),X101) = X100,
inference(variable_rename,[status(thm)],[c_0_1531]) ).
fof(c_0_2387,plain,
! [X98,X99] :
( hBOOL(X99)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X99),X98)) ),
inference(variable_rename,[status(thm)],[c_0_1532]) ).
fof(c_0_2388,plain,
! [X100,X101] :
( X100 != X101
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X100),X101)) ),
inference(variable_rename,[status(thm)],[c_0_1533]) ).
fof(c_0_2389,plain,
! [X100,X101] :
( X100 != X101
| hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X100),X101)) ),
inference(variable_rename,[status(thm)],[c_0_1534]) ).
fof(c_0_2390,plain,
! [X100,X101] :
( X100 != X101
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X100),X101)) ),
inference(variable_rename,[status(thm)],[c_0_1535]) ).
fof(c_0_2391,plain,
! [X100,X101] :
( X100 != X101
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X100),X101)) ),
inference(variable_rename,[status(thm)],[c_0_1536]) ).
fof(c_0_2392,plain,
! [X100,X101] :
( X100 != X101
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X100),X101)) ),
inference(variable_rename,[status(thm)],[c_0_1537]) ).
fof(c_0_2393,plain,
! [X19,X20] :
( X19 != X20
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X19),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1538])]) ).
fof(c_0_2394,plain,
! [X19,X20] :
( X19 != X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1539])]) ).
fof(c_0_2395,plain,
! [X20,X21] :
( X20 != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1540])]) ).
fof(c_0_2396,plain,
! [X20,X21] :
( X20 != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1541])]) ).
fof(c_0_2397,plain,
! [X20,X21] :
( X20 != X21
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1542])]) ).
fof(c_0_2398,plain,
! [X20,X21] :
( X20 != X21
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1543])]) ).
fof(c_0_2399,plain,
! [X20,X21] :
( ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X20),X21))
| X20 != X21 )
& ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X21),X20))
| X20 != X21 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1544])])]) ).
fof(c_0_2400,plain,
! [X20,X21] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X20),X21))
| X20 != X21 )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X21),X20))
| X20 != X21 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1545])])]) ).
fof(c_0_2401,plain,
! [X16,X17] :
( ( X17 != bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X16)),X17) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X17) )
& ( X17 = bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X16)),X17) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X16),bot_bo1055319631e_bool)
| ~ is_fun_pname_bool(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1546])])]) ).
fof(c_0_2402,plain,
! [X17] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X17),X17)),
inference(variable_rename,[status(thm)],[c_0_1547]) ).
fof(c_0_2403,plain,
! [X17] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X17),X17)),
inference(variable_rename,[status(thm)],[c_0_1548]) ).
fof(c_0_2404,plain,
! [X10] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X10),X10)),
inference(variable_rename,[status(thm)],[c_0_1549]) ).
fof(c_0_2405,plain,
! [X10] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X10),X10)),
inference(variable_rename,[status(thm)],[c_0_1550]) ).
fof(c_0_2406,plain,
! [X19,X20,X21] :
( hAPP_p799580910on_com(X19,X20) != some_com(X21)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X20),dom_pname_com(X19)) = dom_pname_com(X19) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1551])])])]) ).
fof(c_0_2407,plain,
! [X22,X23,X24] :
( ( bot_bo1649642514l_bool != hAPP_f559147733l_bool(collec1974731493e_bool,X22)
| ~ is_fun_pname_bool(X23)
| ~ hBOOL(hAPP_f1664156314l_bool(X22,X23)) )
& ( is_fun_pname_bool(esk6_1(X24))
| bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X24) )
& ( hBOOL(hAPP_f1664156314l_bool(X24,esk6_1(X24)))
| bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X24) ) ),
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_1552])])])])])]) ).
fof(c_0_2408,plain,
! [X22,X23,X24] :
( ( bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X22)
| ~ is_pname(X23)
| ~ hBOOL(hAPP_pname_bool(X22,X23)) )
& ( is_pname(esk5_1(X24))
| bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X24) )
& ( hBOOL(hAPP_pname_bool(X24,esk5_1(X24)))
| bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X24) ) ),
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_1553])])])])])]) ).
fof(c_0_2409,plain,
! [X22,X23,X24] :
( ( hAPP_f559147733l_bool(collec1974731493e_bool,X22) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X23)
| ~ hBOOL(hAPP_f1664156314l_bool(X22,X23)) )
& ( is_fun_pname_bool(esk2_1(X24))
| hAPP_f559147733l_bool(collec1974731493e_bool,X24) = bot_bo1649642514l_bool )
& ( hBOOL(hAPP_f1664156314l_bool(X24,esk2_1(X24)))
| hAPP_f559147733l_bool(collec1974731493e_bool,X24) = bot_bo1649642514l_bool ) ),
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_1554])])])])])]) ).
fof(c_0_2410,plain,
! [X22,X23,X24] :
( ( hAPP_f759274231e_bool(collect_pname,X22) != bot_bo844097828e_bool
| ~ is_pname(X23)
| ~ hBOOL(hAPP_pname_bool(X22,X23)) )
& ( is_pname(esk1_1(X24))
| hAPP_f759274231e_bool(collect_pname,X24) = bot_bo844097828e_bool )
& ( hBOOL(hAPP_pname_bool(X24,esk1_1(X24)))
| hAPP_f759274231e_bool(collect_pname,X24) = bot_bo844097828e_bool ) ),
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_1555])])])])])]) ).
fof(c_0_2411,plain,
! [X19,X20] :
( ( X19 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) )
& ( X20 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) )
& ( X19 != bot_bo844097828e_bool
| X20 != bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X19),X20) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X19)
| ~ is_fun_pname_bool(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1556])])]) ).
fof(c_0_2412,plain,
! [X20,X21] :
( ( X20 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) )
& ( X21 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) )
& ( X20 != bot_bo844097828e_bool
| X21 != bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X20),X21) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X20)
| ~ is_fun_pname_bool(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1557])])]) ).
fof(c_0_2413,plain,
! [X21,X22] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X21),
inference(variable_rename,[status(thm)],[c_0_1558]) ).
fof(c_0_2414,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X19),
inference(variable_rename,[status(thm)],[c_0_1559]) ).
fof(c_0_2415,plain,
! [X19,X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X19),
inference(variable_rename,[status(thm)],[c_0_1560]) ).
fof(c_0_2416,plain,
! [X20,X21] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X20),
inference(variable_rename,[status(thm)],[c_0_1561]) ).
fof(c_0_2417,plain,
! [X99,X100] :
( ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X100))
| hBOOL(hAPP_state_bool(X100,X99)) ),
inference(variable_rename,[status(thm)],[c_0_1562]) ).
fof(c_0_2418,plain,
! [X13] : hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X13)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),bot_bo1055319631e_bool),
inference(variable_rename,[status(thm)],[c_0_1563]) ).
fof(c_0_2419,plain,
! [X13] : hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X13)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X13),bot_bo1325454745l_bool),
inference(variable_rename,[status(thm)],[c_0_1564]) ).
fof(c_0_2420,plain,
! [X13] : hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X13)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X13),bot_bo1649642514l_bool),
inference(variable_rename,[status(thm)],[c_0_1565]) ).
fof(c_0_2421,plain,
! [X13] : hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X13)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),bot_bo844097828e_bool),
inference(variable_rename,[status(thm)],[c_0_1566]) ).
fof(c_0_2422,plain,
! [X13] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X13)),
inference(variable_rename,[status(thm)],[c_0_1567]) ).
fof(c_0_2423,plain,
! [X13] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X13)),
inference(variable_rename,[status(thm)],[c_0_1568]) ).
fof(c_0_2424,plain,
! [X10] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X10)),
inference(variable_rename,[status(thm)],[c_0_1569]) ).
fof(c_0_2425,plain,
! [X10] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X10)),
inference(variable_rename,[status(thm)],[c_0_1570]) ).
fof(c_0_2426,plain,
! [X16,X17,X18,X19] :
( ( X17 != bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X16)),X17) = bot_bo844097828e_bool )
& ( X19 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X18)),X19) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X18),bot_bo844097828e_bool) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1571])])])]) ).
fof(c_0_2427,plain,
! [X22,X23,X24] :
( ( bot_bo1055319631e_bool != hAPP_f921536533e_bool(collec727977250_state,X22)
| ~ hBOOL(hAPP_H513860823e_bool(X22,X23)) )
& ( hBOOL(hAPP_H513860823e_bool(X24,esk8_1(X24)))
| bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X24) ) ),
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_1572])])])])]) ).
fof(c_0_2428,plain,
! [X22,X23,X24] :
( ( bot_bo1325454745l_bool != hAPP_f1970439265l_bool(collec111528142e_bool,X22)
| ~ hBOOL(hAPP_f1760790145l_bool(X22,X23)) )
& ( hBOOL(hAPP_f1760790145l_bool(X24,esk7_1(X24)))
| bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,X24) ) ),
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_1573])])])])]) ).
fof(c_0_2429,plain,
! [X22,X23,X24] :
( ( hAPP_f921536533e_bool(collec727977250_state,X22) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_H513860823e_bool(X22,X23)) )
& ( hBOOL(hAPP_H513860823e_bool(X24,esk4_1(X24)))
| hAPP_f921536533e_bool(collec727977250_state,X24) = bot_bo1055319631e_bool ) ),
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_1574])])])])]) ).
fof(c_0_2430,plain,
! [X22,X23,X24] :
( ( hAPP_f1970439265l_bool(collec111528142e_bool,X22) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X22,X23)) )
& ( hBOOL(hAPP_f1760790145l_bool(X24,esk3_1(X24)))
| hAPP_f1970439265l_bool(collec111528142e_bool,X24) = bot_bo1325454745l_bool ) ),
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_1575])])])])]) ).
fof(c_0_2431,plain,
! [X19,X20,X21,X22] :
( ( X19 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) != bot_bo1055319631e_bool )
& ( X20 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X19),X20) != bot_bo1055319631e_bool )
& ( X21 != bot_bo1055319631e_bool
| X22 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X21),X22) = bot_bo1055319631e_bool ) ),
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_1576])])])])]) ).
fof(c_0_2432,plain,
! [X20,X21,X22,X23] :
( ( X20 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) != bot_bo1055319631e_bool )
& ( X21 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X20),X21) != bot_bo1055319631e_bool )
& ( X22 != bot_bo1055319631e_bool
| X23 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X22),X23) = bot_bo1055319631e_bool ) ),
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_1577])])])])]) ).
fof(c_0_2433,plain,
! [X13,X14] : bot_bo1055319631e_bool != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14),
inference(variable_rename,[status(thm)],[c_0_1578]) ).
fof(c_0_2434,plain,
! [X13,X14] : bot_bo844097828e_bool != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14),
inference(variable_rename,[status(thm)],[c_0_1579]) ).
fof(c_0_2435,plain,
! [X13,X14] : hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X13),X14) != bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1580]) ).
fof(c_0_2436,plain,
! [X13,X14] : hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X13),X14) != bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1581]) ).
fof(c_0_2437,plain,
! [X31,X32] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X31) != some_com(X32)
| hBOOL(hAPP_com_bool(wt,X32)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1582])])])]) ).
fof(c_0_2438,plain,
! [X39,X40] :
( ( hAPP_pname_com(body_1,X39) != hAPP_pname_com(body_1,X40)
| X39 = X40
| ~ is_pname(X39)
| ~ is_pname(X40) )
& ( X39 != X40
| hAPP_pname_com(body_1,X39) = hAPP_pname_com(body_1,X40)
| ~ is_pname(X39)
| ~ is_pname(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1583])])]) ).
fof(c_0_2439,plain,
! [X34] :
( ~ hBOOL(hAPP_bool_bool(fNot,X34))
| ~ hBOOL(X34) ),
inference(variable_rename,[status(thm)],[c_0_1584]) ).
fof(c_0_2440,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
c_0_1585 ).
fof(c_0_2441,plain,
! [X75,X76,X77,X78,X79,X80,X81,X82] :
( ( X75 = X77
| while(X75,X76) != while(X77,X78) )
& ( X76 = X78
| while(X75,X76) != while(X77,X78) )
& ( X79 != X81
| X80 != X82
| while(X79,X80) = while(X81,X82) ) ),
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_1586])])])])]) ).
fof(c_0_2442,plain,
! [X74,X75,X76,X77,X78,X79,X80,X81] :
( ( X74 = X76
| semi(X74,X75) != semi(X76,X77) )
& ( X75 = X77
| semi(X74,X75) != semi(X76,X77) )
& ( X78 != X80
| X79 != X81
| semi(X78,X79) = semi(X80,X81) ) ),
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_1587])])])])]) ).
fof(c_0_2443,plain,
! [X22,X23] :
( ( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X22))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X23)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1588])])])]) ).
fof(c_0_2444,plain,
! [X22,X23] :
( ( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X22))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X23)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1589])])])]) ).
fof(c_0_2445,plain,
! [X17,X18] :
( ( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X17))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X18)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1590])])])]) ).
fof(c_0_2446,plain,
! [X17,X18] :
( ( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X17))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X18)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1591])])])]) ).
fof(c_0_2447,plain,
! [X17] : set_com(some_com(X17)) = hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X17),bot_bot_fun_com_bool),
inference(variable_rename,[status(thm)],[c_0_1592]) ).
fof(c_0_2448,plain,
! [X17] : set_Ho1831989999_state(some_H1133819688_state(X17)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X17),bot_bo1055319631e_bool),
inference(variable_rename,[status(thm)],[c_0_1593]) ).
fof(c_0_2449,plain,
! [X17] : set_pname(some_pname(X17)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X17),bot_bo844097828e_bool),
inference(variable_rename,[status(thm)],[c_0_1594]) ).
fof(c_0_2450,plain,
! [X3,X4] :
( ~ is_fun1661590463l_bool(X3)
| ~ is_fun_pname_bool(X4)
| is_bool(hAPP_f1664156314l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1595])]) ).
fof(c_0_2451,plain,
! [X3,X4] :
( ~ is_fun_pname_bool(X3)
| ~ is_pname(X4)
| is_bool(hAPP_pname_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1596])]) ).
fof(c_0_2452,plain,
! [X72,X73,X74,X75] : while(X72,X73) != semi(X74,X75),
inference(variable_rename,[status(thm)],[c_0_1597]) ).
fof(c_0_2453,plain,
! [X72,X73,X74,X75] : semi(X72,X73) != while(X74,X75),
inference(variable_rename,[status(thm)],[c_0_1598]) ).
fof(c_0_2454,plain,
! [X17] :
( ~ is_fun_pname_bool(X17)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X17),bot_bo844097828e_bool) = X17 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1599])]) ).
fof(c_0_2455,plain,
! [X10] :
( ~ is_fun_pname_bool(X10)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X10),bot_bo844097828e_bool) = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1600])]) ).
fof(c_0_2456,plain,
! [X17] :
( ~ is_fun_pname_bool(X17)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X17) = X17 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1601])]) ).
fof(c_0_2457,plain,
! [X20] :
( ~ is_fun_pname_bool(X20)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X20) = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1602])]) ).
fof(c_0_2458,plain,
! [X77,X78,X79] : semi(X77,X78) != hAPP_pname_com(body_1,X79),
inference(variable_rename,[status(thm)],[c_0_1603]) ).
fof(c_0_2459,plain,
! [X77,X78,X79] : hAPP_pname_com(body_1,X77) != semi(X78,X79),
inference(variable_rename,[status(thm)],[c_0_1604]) ).
fof(c_0_2460,plain,
! [X75,X76,X77] : while(X75,X76) != hAPP_pname_com(body_1,X77),
inference(variable_rename,[status(thm)],[c_0_1605]) ).
fof(c_0_2461,plain,
! [X75,X76,X77] : hAPP_pname_com(body_1,X75) != while(X76,X77),
inference(variable_rename,[status(thm)],[c_0_1606]) ).
fof(c_0_2462,plain,
! [X18,X19] :
( ( bot_bo1055319631e_bool != hAPP_f631639356e_bool(image_275883510_state(X18),X19)
| X19 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X19) )
& ( X19 != bot_bo844097828e_bool
| bot_bo1055319631e_bool = hAPP_f631639356e_bool(image_275883510_state(X18),X19)
| ~ is_fun_pname_bool(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1607])])]) ).
fof(c_0_2463,plain,
! [X18,X19] :
( ( hAPP_f631639356e_bool(image_275883510_state(X18),X19) != bot_bo1055319631e_bool
| X19 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X19) )
& ( X19 != bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(X18),X19) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1608])])]) ).
fof(c_0_2464,plain,
! [X4] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X4),bot_bo1055319631e_bool)),
inference(variable_rename,[status(thm)],[c_0_1609]) ).
fof(c_0_2465,plain,
! [X13] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X13),X13) = X13,
inference(variable_rename,[status(thm)],[c_0_1610]) ).
fof(c_0_2466,plain,
! [X17] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),X17) = X17,
inference(variable_rename,[status(thm)],[c_0_1611]) ).
fof(c_0_2467,plain,
! [X10] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X10),X10) = X10,
inference(variable_rename,[status(thm)],[c_0_1612]) ).
fof(c_0_2468,plain,
! [X3,X4] :
( ~ is_fun1661590463l_bool(X4)
| is_fun1661590463l_bool(hAPP_f559147733l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1613])]) ).
fof(c_0_2469,plain,
! [X3,X4] :
( ~ is_fun1661590463l_bool(X4)
| is_fun_pname_bool(hAPP_f674760225e_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1614])]) ).
fof(c_0_2470,plain,
! [X3,X4] :
( ~ is_fun1661590463l_bool(X4)
| is_bool(hAPP_f1935102916l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1615])]) ).
fof(c_0_2471,plain,
! [X3,X4] :
( ~ is_fun_pname_bool(X4)
| is_fun1661590463l_bool(hAPP_f434788991l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1616])]) ).
fof(c_0_2472,plain,
! [X3,X4] :
( ~ is_fun_pname_bool(X4)
| is_fun_pname_bool(hAPP_f759274231e_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1617])]) ).
fof(c_0_2473,plain,
! [X3,X4] :
( ~ is_fun_pname_bool(X4)
| is_pname(hAPP_f1297739591_pname(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1618])]) ).
fof(c_0_2474,plain,
! [X3,X4] :
( ~ is_bool(X4)
| is_bool(hAPP_bool_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1619])]) ).
fof(c_0_2475,plain,
! [X3,X4] :
( ~ is_pname(X4)
| is_fun1661590463l_bool(hAPP_p338031245l_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1620])]) ).
fof(c_0_2476,plain,
! [X3,X4] :
( ~ is_pname(X4)
| is_fun_pname_bool(hAPP_p61793385e_bool(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1621])]) ).
fof(c_0_2477,plain,
! [X3,X4] :
( ~ is_pname(X4)
| is_pname(hAPP_pname_pname(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1622])]) ).
fof(c_0_2478,plain,
! [X17] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X17),bot_bo1055319631e_bool) = X17,
inference(variable_rename,[status(thm)],[c_0_1623]) ).
fof(c_0_2479,plain,
! [X10] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X10),bot_bo1055319631e_bool) = X10,
inference(variable_rename,[status(thm)],[c_0_1624]) ).
fof(c_0_2480,plain,
! [X17] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X17),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1625]) ).
fof(c_0_2481,plain,
! [X17] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X17),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1626]) ).
fof(c_0_2482,plain,
! [X10] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X10),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1627]) ).
fof(c_0_2483,plain,
! [X10] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X10),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1628]) ).
fof(c_0_2484,plain,
! [X17] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X17) = X17,
inference(variable_rename,[status(thm)],[c_0_1629]) ).
fof(c_0_2485,plain,
! [X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X20) = X20,
inference(variable_rename,[status(thm)],[c_0_1630]) ).
fof(c_0_2486,plain,
! [X17] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X17) = bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1631]) ).
fof(c_0_2487,plain,
! [X17] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X17) = bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1632]) ).
fof(c_0_2488,plain,
! [X20] : hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X20) = bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1633]) ).
fof(c_0_2489,plain,
! [X20] : hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X20) = bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1634]) ).
fof(c_0_2490,plain,
! [X18,X19,X20,X21] :
( ( bot_bo844097828e_bool != hAPP_f1745235422e_bool(image_1925245338_pname(X18),X19)
| X19 = bot_bo1055319631e_bool )
& ( X21 != bot_bo1055319631e_bool
| bot_bo844097828e_bool = hAPP_f1745235422e_bool(image_1925245338_pname(X20),X21) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1635])])])]) ).
fof(c_0_2491,plain,
! [X18,X19,X20,X21] :
( ( hAPP_f1745235422e_bool(image_1925245338_pname(X18),X19) != bot_bo844097828e_bool
| X19 = bot_bo1055319631e_bool )
& ( X21 != bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X20),X21) = bot_bo844097828e_bool ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1636])])])]) ).
fof(c_0_2492,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
c_0_1637 ).
fof(c_0_2493,plain,
! [X34] :
( hBOOL(X34)
| hBOOL(hAPP_bool_bool(fNot,X34)) ),
inference(variable_rename,[status(thm)],[c_0_1638]) ).
fof(c_0_2494,plain,
! [X3,X4] : is_bool(hAPP_f1904669497l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1639]) ).
fof(c_0_2495,plain,
! [X3,X4] : is_bool(hAPP_f389811538l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1640]) ).
fof(c_0_2496,plain,
! [X3,X4] : is_fun_pname_bool(hAPP_f280588268e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1641]) ).
fof(c_0_2497,plain,
! [X3,X4] : is_bool(hAPP_f239102607l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1642]) ).
fof(c_0_2498,plain,
! [X3,X4] : is_fun1661590463l_bool(hAPP_f748867288l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1643]) ).
fof(c_0_2499,plain,
! [X3,X4] : is_fun_pname_bool(hAPP_f1745235422e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1644]) ).
fof(c_0_2500,plain,
! [X3,X4] : is_pname(hAPP_f1008690464_pname(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1645]) ).
fof(c_0_2501,plain,
! [X3,X4] : is_bool(hAPP_f327114704l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1646]) ).
fof(c_0_2502,plain,
! [X3,X4] : is_fun_pname_bool(hAPP_f42430548e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1647]) ).
fof(c_0_2503,plain,
! [X3,X4] : is_bool(hAPP_f990396704l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1648]) ).
fof(c_0_2504,plain,
! [X3,X4] : is_fun1661590463l_bool(hAPP_H737849090l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1649]) ).
fof(c_0_2505,plain,
! [X3,X4] : is_fun_pname_bool(hAPP_H1632039476e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1650]) ).
fof(c_0_2506,plain,
! [X3,X4] : is_bool(hAPP_H513860823e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1651]) ).
fof(c_0_2507,plain,
! [X3,X4] : is_pname(hAPP_H1344248906_pname(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1652]) ).
fof(c_0_2508,plain,
! [X3,X4] : is_bool(hAPP_state_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1653]) ).
fof(c_0_2509,plain,
! [X3,X4] : is_bool(hAPP_com_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1654]) ).
fof(c_0_2510,plain,
! [X3,X4] : is_bool(finite959343283e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1655]) ).
fof(c_0_2511,plain,
! [X3,X4] : is_bool(finite1268145088e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1656]) ).
fof(c_0_2512,plain,
! [X3,X4] : is_bool(finite506823037_state(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1657]) ).
fof(c_0_2513,plain,
! [X3,X4] : is_bool(finite89670078_pname(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1658]) ).
fof(c_0_2514,plain,
! [X3,X4] : is_bool(finite132673334e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1659]) ).
fof(c_0_2515,plain,
! [X3,X4] : is_bool(finite1626890877e_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1660]) ).
fof(c_0_2516,plain,
! [X3,X4] : is_bool(finite774711482_state(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1661]) ).
fof(c_0_2517,plain,
! [X3,X4] : is_bool(finite1282449217_pname(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_1662]) ).
fof(c_0_2518,plain,
! [X98,X99] :
( ~ is_bool(X98)
| hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X98),X99) = X98 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1663])])])]) ).
fof(c_0_2519,plain,
! [X98,X99] :
( ~ is_pname(X98)
| hAPP_H1344248906_pname(cOMBK_588224941_state(X98),X99) = X98 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1664])])])]) ).
fof(c_0_2520,plain,
! [X98,X99] :
( ~ is_bool(X98)
| hAPP_H513860823e_bool(cOMBK_1079618832_state(X98),X99) = X98 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1665])])])]) ).
fof(c_0_2521,plain,
! [X98,X99] :
( ~ is_bool(X98)
| hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X98),X99) = X98 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1666])])])]) ).
fof(c_0_2522,plain,
! [X98,X99] :
( ~ is_bool(X98)
| hAPP_pname_bool(cOMBK_bool_pname(X98),X99) = X98 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1667])])])]) ).
fof(c_0_2523,axiom,
hBOOL(hAPP_com_bool(wt,skip)),
c_0_1668 ).
fof(c_0_2524,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
c_0_1669 ).
fof(c_0_2525,axiom,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
c_0_1670 ).
fof(c_0_2526,axiom,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
c_0_1671 ).
fof(c_0_2527,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
c_0_1672 ).
fof(c_0_2528,plain,
! [X80,X81] : semi(X80,X81) != skip,
inference(variable_rename,[status(thm)],[c_0_1673]) ).
fof(c_0_2529,plain,
! [X80,X81] : skip != semi(X80,X81),
inference(variable_rename,[status(thm)],[c_0_1674]) ).
fof(c_0_2530,plain,
! [X72,X73] : while(X72,X73) != skip,
inference(variable_rename,[status(thm)],[c_0_1675]) ).
fof(c_0_2531,plain,
! [X72,X73] : skip != while(X72,X73),
inference(variable_rename,[status(thm)],[c_0_1676]) ).
fof(c_0_2532,plain,
! [X98,X99] : hAPP_p1842370726_state(cOMBK_90103121_pname(X98),X99) = X98,
inference(variable_rename,[status(thm)],[c_0_1677]) ).
fof(c_0_2533,plain,
! [X98,X99] : hAPP_s1806633685e_bool(cOMBK_631994958_state(X98),X99) = X98,
inference(variable_rename,[status(thm)],[c_0_1678]) ).
fof(c_0_2534,plain,
! [X15] :
( ~ is_fun1661590463l_bool(X15)
| hAPP_f559147733l_bool(collec1974731493e_bool,X15) = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1679])]) ).
fof(c_0_2535,plain,
! [X15] :
( ~ is_fun_pname_bool(X15)
| hAPP_f759274231e_bool(collect_pname,X15) = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1680])]) ).
fof(c_0_2536,plain,
! [X65] : skip != hAPP_pname_com(body_1,X65),
inference(variable_rename,[status(thm)],[c_0_1681]) ).
fof(c_0_2537,plain,
! [X65] : hAPP_pname_com(body_1,X65) != skip,
inference(variable_rename,[status(thm)],[c_0_1682]) ).
fof(c_0_2538,plain,
! [X43] : hAPP_option_com_com(the_com,some_com(X43)) = X43,
inference(variable_rename,[status(thm)],[c_0_1683]) ).
fof(c_0_2539,plain,
! [X18] : hAPP_f631639356e_bool(image_275883510_state(X18),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
inference(variable_rename,[status(thm)],[c_0_1684]) ).
fof(c_0_2540,plain,
! [X18] : hAPP_f1745235422e_bool(image_1925245338_pname(X18),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[c_0_1685]) ).
fof(c_0_2541,plain,
! [X2] :
( ~ is_option_pname(X2)
| is_fun_pname_bool(set_pname(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1686])]) ).
fof(c_0_2542,plain,
! [X2] :
( ~ is_pname(X2)
| is_option_pname(some_pname(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1687])]) ).
fof(c_0_2543,plain,
! [X2] :
( ~ is_bool(X2)
| is_fun1661590463l_bool(cOMBK_1857069011e_bool(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1688])]) ).
fof(c_0_2544,plain,
! [X2] :
( ~ is_bool(X2)
| is_fun_pname_bool(cOMBK_bool_pname(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1689])]) ).
fof(c_0_2545,axiom,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
c_0_1690 ).
fof(c_0_2546,axiom,
bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)),
c_0_1691 ).
fof(c_0_2547,axiom,
bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)),
c_0_1692 ).
fof(c_0_2548,axiom,
bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)),
c_0_1693 ).
fof(c_0_2549,plain,
! [X50,X51,X52,X53] :
( ( some_com(X50) != some_com(X51)
| X50 = X51 )
& ( X52 != X53
| some_com(X52) = some_com(X53) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1694])])])]) ).
fof(c_0_2550,plain,
! [X15] : hAPP_f1970439265l_bool(collec111528142e_bool,X15) = X15,
inference(variable_rename,[status(thm)],[c_0_1695]) ).
fof(c_0_2551,plain,
! [X15] : hAPP_f921536533e_bool(collec727977250_state,X15) = X15,
inference(variable_rename,[status(thm)],[c_0_1696]) ).
fof(c_0_2552,plain,
! [X64] :
( ~ hBOOL(hoare_298929751gleton)
| esk97_1(X64) != X64 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1697])])])]) ).
fof(c_0_2553,plain,
! [X34] :
( ~ is_bool(X34)
| X34 = fTrue
| X34 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1698])]) ).
fof(c_0_2554,plain,
! [X34] :
( ~ is_bool(X34)
| X34 = fTrue
| X34 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1699])]) ).
fof(c_0_2555,plain,
! [X34] :
( ~ is_bool(X34)
| X34 = fTrue
| X34 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1700])]) ).
fof(c_0_2556,axiom,
is_pname(undefined_pname(pname)),
c_0_1701 ).
fof(c_0_2557,plain,
! [X66,X67] :
( ( ~ hBOOL(hoare_298929751gleton)
| esk98_0 != esk99_0 )
& ( X66 = X67
| hBOOL(hoare_298929751gleton) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1702])])])]) ).
fof(c_0_2558,plain,
~ hBOOL(fFalse),
c_0_1703 ).
fof(c_0_2559,axiom,
is_bool(fTrue),
c_0_1704 ).
fof(c_0_2560,axiom,
is_bool(fFalse),
c_0_1705 ).
fof(c_0_2561,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
c_0_1706 ).
fof(c_0_2562,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
c_0_1707 ).
fof(c_0_2563,axiom,
is_bool(bot_bot_bool),
c_0_1708 ).
fof(c_0_2564,axiom,
is_fun1661590463l_bool(finite_finite_pname),
c_0_1709 ).
cnf(c_0_2565,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1710]) ).
cnf(c_0_2566,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1710]) ).
cnf(c_0_2567,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ),
inference(split_conjunct,[status(thm)],[c_0_1711]) ).
cnf(c_0_2568,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),esk86_4(X1,X3,X4,X2)))),X3),cOMBK_631994958_state(hAPP_s1806633685e_bool(X4,esk85_4(X1,X3,X4,X2))))),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1712]) ).
cnf(c_0_2569,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1713]) ).
cnf(c_0_2570,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X6,esk91_6(X6,X5,X1,X2,X3,X4)),esk93_6(X6,X5,X1,X2,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2571,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| is_pname(esk84_7(X3,X5,X2,X6,X4,X7,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1710]) ).
cnf(c_0_2572,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk91_6(X6,X5,X1,X2,X3,X4)),esk92_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2573,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),esk93_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),esk92_6(X6,X5,X1,X2,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2574,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1715]) ).
cnf(c_0_2575,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1716]) ).
cnf(c_0_2576,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X2,X3)),hAPP_pname_com(body_1,X3)),hAPP_p1637813682e_bool(X4,X3))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X5))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X4)),X5))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X4)),X5))) ),
inference(split_conjunct,[status(thm)],[c_0_1717]) ).
cnf(c_0_2577,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X3))),while(X3,X4)),X2)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_1718]) ).
cnf(c_0_2578,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X4),X5)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1719]) ).
cnf(c_0_2579,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1719]) ).
cnf(c_0_2580,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk89_5(X5,X1,X2,X3,X4)),esk90_5(X5,X1,X2,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1720]) ).
cnf(c_0_2581,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,esk87_5(X5,X1,X2,X3,X4)),esk88_5(X5,X1,X2,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1721]) ).
cnf(c_0_2582,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,esk89_5(X5,X1,X2,X3,X4)),esk90_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1720]) ).
cnf(c_0_2583,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk87_5(X5,X1,X2,X3,X4)),esk88_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1721]) ).
cnf(c_0_2584,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1722]) ).
cnf(c_0_2585,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,esk148_4(X4,X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1723]) ).
cnf(c_0_2586,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,esk146_4(X4,X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2587,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,esk152_4(X3,X4,X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1725]) ).
cnf(c_0_2588,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,esk150_4(X3,X4,X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2589,plain,
( hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,esk116_4(X1,X4,X2,X3)),esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,esk117_4(X1,X4,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1727]) ).
cnf(c_0_2590,plain,
( hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,esk112_4(X1,X4,X2,X3)),esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,esk113_4(X1,X4,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1728]) ).
cnf(c_0_2591,plain,
( hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3)) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,esk118_4(X3,X1,X4,X2)),esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1729]) ).
cnf(c_0_2592,plain,
( hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3)) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,esk114_4(X3,X1,X4,X2)),esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1730]) ).
cnf(c_0_2593,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,esk124_3(X1,X2,X3)),esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(split_conjunct,[status(thm)],[c_0_1731]) ).
cnf(c_0_2594,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,esk120_3(X1,X2,X3)),esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_2595,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,esk126_3(X2,X3,X1)),esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1733]) ).
cnf(c_0_2596,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,esk122_3(X2,X3,X1)),esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1734]) ).
cnf(c_0_2597,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X2)),hAPP_p1842370726_state(X2,esk68_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_2598,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X2)),hAPP_H1645666623e_bool(X2,esk67_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1736]) ).
cnf(c_0_2599,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X2)),hAPP_H1632039476e_bool(X2,esk66_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1737]) ).
cnf(c_0_2600,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X2)),hAPP_f1008690464_pname(X2,esk65_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1738]) ).
cnf(c_0_2601,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X2)),hAPP_f1297739591_pname(X2,esk64_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1739]) ).
cnf(c_0_2602,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X2)),hAPP_H1344248906_pname(X2,esk63_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1740]) ).
cnf(c_0_2603,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X2)),hAPP_pname_pname(X2,esk62_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1741]) ).
cnf(c_0_2604,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X2)),hAPP_f2143211163_state(X2,esk61_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1742]) ).
cnf(c_0_2605,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X2)),hAPP_f1308959284_state(X2,esk60_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1743]) ).
cnf(c_0_2606,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X2)),hAPP_H563960305_state(X2,esk59_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1744]) ).
cnf(c_0_2607,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X2)),hAPP_p877885514e_bool(X2,esk58_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1745]) ).
cnf(c_0_2608,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X2)),hAPP_p61793385e_bool(X2,esk57_2(X2,X1))))))) ),
inference(split_conjunct,[status(thm)],[c_0_1746]) ).
cnf(c_0_2609,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1747]) ).
cnf(c_0_2610,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),semi(X3,X4)),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X6),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X6)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1748]) ).
cnf(c_0_2611,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2)))),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1749]) ).
cnf(c_0_2612,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,esk85_4(X1,X3,X4,X2)),esk86_4(X1,X3,X4,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1712]) ).
cnf(c_0_2613,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1750]) ).
cnf(c_0_2614,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1751]) ).
cnf(c_0_2615,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk149_4(X4,X1,X2,X3)),esk148_4(X4,X1,X2,X3)))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1723]) ).
cnf(c_0_2616,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk147_4(X4,X1,X2,X3)),esk146_4(X4,X1,X2,X3)))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2617,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk153_4(X3,X4,X1,X2)),esk152_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1725]) ).
cnf(c_0_2618,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk151_4(X3,X4,X1,X2)),esk150_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2619,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk161_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2620,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk160_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2621,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk159_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2622,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk158_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2623,plain,
hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X1)),X2)),X3)),X4) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,X1)))),hAPP_f631639356e_bool(image_275883510_state(X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1))))),
inference(split_conjunct,[status(thm)],[c_0_1756]) ).
cnf(c_0_2624,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk16_2(X2,X1)))),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2625,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2626,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2627,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),esk144_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1759]) ).
cnf(c_0_2628,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2629,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk23_3(X3,X2,X1)),esk24_3(X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2630,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk21_3(X3,X2,X1)),esk22_3(X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2631,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk19_3(X3,X2,X1)),esk20_3(X3,X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2632,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))),
inference(split_conjunct,[status(thm)],[c_0_1764]) ).
cnf(c_0_2633,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))),
inference(split_conjunct,[status(thm)],[c_0_1765]) ).
cnf(c_0_2634,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X4,esk161_4(X4,X3,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2635,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X4,esk160_4(X4,X3,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2636,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X4,esk159_4(X4,X3,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2637,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X4,esk158_4(X4,X3,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2638,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)),
inference(split_conjunct,[status(thm)],[c_0_1766]) ).
cnf(c_0_2639,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk131_4(X3,X4,X1,X2)),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1767]) ).
cnf(c_0_2640,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)))),
inference(split_conjunct,[status(thm)],[c_0_1768]) ).
cnf(c_0_2641,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)))),
inference(split_conjunct,[status(thm)],[c_0_1769]) ).
cnf(c_0_2642,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f1760790145l_bool(X3,esk161_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2643,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1664156314l_bool(X3,esk160_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2644,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_H513860823e_bool(X3,esk159_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2645,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_pname_bool(X3,esk158_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2646,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,esk71_3(X1,X3,X2))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_2647,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,esk70_3(X1,X3,X2))),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1771]) ).
cnf(c_0_2648,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1772]) ).
cnf(c_0_2649,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1773]) ).
cnf(c_0_2650,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1774]) ).
cnf(c_0_2651,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1775]) ).
cnf(c_0_2652,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| X1 != X2
| hAPP_p1842370726_state(X3,esk131_4(X3,X4,X1,X2)) != hAPP_p1842370726_state(X4,esk131_4(X3,X4,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1767]) ).
cnf(c_0_2653,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2654,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2655,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),esk144_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1759]) ).
cnf(c_0_2656,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(collec727977250_state,X2)) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)))),X2)),
inference(split_conjunct,[status(thm)],[c_0_1776]) ).
cnf(c_0_2657,plain,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X2)) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)))),X2)),
inference(split_conjunct,[status(thm)],[c_0_1777]) ).
cnf(c_0_2658,plain,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X2)) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)))),X2)),
inference(split_conjunct,[status(thm)],[c_0_1778]) ).
cnf(c_0_2659,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(collect_pname,X2)) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)))),X2)),
inference(split_conjunct,[status(thm)],[c_0_1779]) ).
cnf(c_0_2660,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),skip),X2)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_1780]) ).
cnf(c_0_2661,plain,
dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X1)),X2)),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X2)),hAPP_f759274231e_bool(collect_pname,X1))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X3)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1)))),
inference(split_conjunct,[status(thm)],[c_0_1781]) ).
cnf(c_0_2662,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2663,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2664,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2665,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2666,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2667,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2668,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2669,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2670,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X2,X1)),esk108_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2671,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X2,X1)),esk102_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2672,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk110_2(X2,X1)),esk111_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2673,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk104_2(X2,X1)),esk105_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2674,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))),
inference(split_conjunct,[status(thm)],[c_0_1790]) ).
cnf(c_0_2675,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2676,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| is_fun_pname_bool(esk160_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2677,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| is_pname(esk158_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2678,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2679,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2680,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X3,X2,X1)),esk24_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2681,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X3,X2,X1)),esk22_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2682,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X3,X2,X1)),esk20_3(X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2683,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1793]) ).
cnf(c_0_2684,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1772]) ).
cnf(c_0_2685,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1773]) ).
cnf(c_0_2686,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1774]) ).
cnf(c_0_2687,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1775]) ).
cnf(c_0_2688,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk78_3(X1,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2689,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk77_3(X1,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2690,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk78_3(X1,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2691,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2692,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk79_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2693,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1794]) ).
cnf(c_0_2694,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2695,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2696,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2697,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2698,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X2,X1)),esk108_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2699,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X2,X1)),esk102_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2700,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk110_2(X2,X1)),esk111_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2701,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk104_2(X2,X1)),esk105_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2702,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1795]) ).
cnf(c_0_2703,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1796]) ).
cnf(c_0_2704,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1796]) ).
cnf(c_0_2705,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1797]) ).
cnf(c_0_2706,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1797]) ).
cnf(c_0_2707,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1798]) ).
cnf(c_0_2708,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1798]) ).
cnf(c_0_2709,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1799]) ).
cnf(c_0_2710,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1799]) ).
cnf(c_0_2711,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,esk95_2(X1,X2))),hAPP_H513860823e_bool(X2,esk95_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1800]) ).
cnf(c_0_2712,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk94_2(X1,X2))),hAPP_pname_bool(X2,esk94_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1801]) ).
cnf(c_0_2713,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,esk83_2(X1,X2))),hAPP_H513860823e_bool(X2,esk83_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1802]) ).
cnf(c_0_2714,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk82_2(X1,X2))),hAPP_pname_bool(X2,esk82_2(X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_2715,plain,
hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1804]) ).
cnf(c_0_2716,plain,
hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1805]) ).
cnf(c_0_2717,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))),
inference(split_conjunct,[status(thm)],[c_0_1806]) ).
cnf(c_0_2718,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))),
inference(split_conjunct,[status(thm)],[c_0_1807]) ).
cnf(c_0_2719,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))),
inference(split_conjunct,[status(thm)],[c_0_1808]) ).
cnf(c_0_2720,plain,
hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1809]) ).
cnf(c_0_2721,plain,
hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1810]) ).
cnf(c_0_2722,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))),
inference(split_conjunct,[status(thm)],[c_0_1811]) ).
cnf(c_0_2723,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))),
inference(split_conjunct,[status(thm)],[c_0_1812]) ).
cnf(c_0_2724,plain,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1813]) ).
cnf(c_0_2725,plain,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1814]) ).
cnf(c_0_2726,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))),
inference(split_conjunct,[status(thm)],[c_0_1815]) ).
cnf(c_0_2727,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))),
inference(split_conjunct,[status(thm)],[c_0_1816]) ).
cnf(c_0_2728,plain,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1817]) ).
cnf(c_0_2729,plain,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))),
inference(split_conjunct,[status(thm)],[c_0_1818]) ).
cnf(c_0_2730,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))),
inference(split_conjunct,[status(thm)],[c_0_1819]) ).
cnf(c_0_2731,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk79_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2732,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk47_2(X2,X1)),esk48_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_2733,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk45_2(X2,X1)),esk46_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_2734,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk43_2(X2,X1)),esk44_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_2735,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk41_2(X2,X1)),esk42_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_2736,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X2,X1)),esk108_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2737,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X2,X1)),esk102_2(X2,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2738,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk166_0),esk167_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk166_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk167_0)) ),
inference(split_conjunct,[status(thm)],[c_0_1824]) ).
cnf(c_0_2739,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk163_0),esk164_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk163_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk164_0)) ),
inference(split_conjunct,[status(thm)],[c_0_1825]) ).
cnf(c_0_2740,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1826]) ).
cnf(c_0_2741,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1827]) ).
cnf(c_0_2742,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1828]) ).
cnf(c_0_2743,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1829]) ).
cnf(c_0_2744,plain,
( hAPP_f674760225e_bool(X3,X4) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool))))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1830]) ).
cnf(c_0_2745,plain,
( hAPP_f1297739591_pname(X3,X4) = hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1831]) ).
cnf(c_0_2746,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(esk146_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2747,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(esk147_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2748,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1832]) ).
cnf(c_0_2749,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1833]) ).
cnf(c_0_2750,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1834]) ).
cnf(c_0_2751,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1835]) ).
cnf(c_0_2752,plain,
( hAPP_f772567431e_bool(X2,X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool))))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1836]) ).
cnf(c_0_2753,plain,
( hAPP_f2143211163_state(X2,X3) = hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1837]) ).
cnf(c_0_2754,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1838]) ).
cnf(c_0_2755,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1839]) ).
cnf(c_0_2756,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X1,X3,X4)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2757,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X1,X4,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X4),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2758,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2759,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2760,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk39_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1840]) ).
cnf(c_0_2761,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk37_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2762,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk36_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1842]) ).
cnf(c_0_2763,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk34_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1843]) ).
cnf(c_0_2764,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk33_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1844]) ).
cnf(c_0_2765,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk32_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1845]) ).
cnf(c_0_2766,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk40_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1846]) ).
cnf(c_0_2767,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk38_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1847]) ).
cnf(c_0_2768,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk35_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1848]) ).
cnf(c_0_2769,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk31_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1849]) ).
cnf(c_0_2770,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk30_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1850]) ).
cnf(c_0_2771,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool))))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1851]) ).
cnf(c_0_2772,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1852]) ).
cnf(c_0_2773,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(esk150_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2774,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(esk151_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2775,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1832]) ).
cnf(c_0_2776,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1833]) ).
cnf(c_0_2777,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1834]) ).
cnf(c_0_2778,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1835]) ).
cnf(c_0_2779,plain,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool))))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1853]) ).
cnf(c_0_2780,plain,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1854]) ).
cnf(c_0_2781,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2782,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2783,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2784,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2785,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk17_3(X1,X2,X3)),X3))
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1855]) ).
cnf(c_0_2786,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk14_3(X1,X2,X3)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1856]) ).
cnf(c_0_2787,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2788,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2789,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1857]) ).
cnf(c_0_2790,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1858]) ).
cnf(c_0_2791,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1859]) ).
cnf(c_0_2792,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1860]) ).
cnf(c_0_2793,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1861]) ).
cnf(c_0_2794,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1862]) ).
cnf(c_0_2795,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1863]) ).
cnf(c_0_2796,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1864]) ).
cnf(c_0_2797,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2798,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2799,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk18_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1865]) ).
cnf(c_0_2800,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk15_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1866]) ).
cnf(c_0_2801,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk13_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1867]) ).
cnf(c_0_2802,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2803,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2804,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2805,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2806,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk71_3(X1,X3,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_2807,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk70_3(X1,X3,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1771]) ).
cnf(c_0_2808,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2809,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2810,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2811,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2812,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2813,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2814,plain,
( hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1))
| X1 = bot_bo844097828e_bool
| is_pname(esk116_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1727]) ).
cnf(c_0_2815,plain,
( hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1))
| X1 = bot_bo844097828e_bool
| is_pname(esk117_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1727]) ).
cnf(c_0_2816,plain,
( hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk112_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1728]) ).
cnf(c_0_2817,plain,
( hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk113_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1728]) ).
cnf(c_0_2818,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| esk111_2(X2,X1) != bot_bo1325454745l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2819,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| esk105_2(X2,X1) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2820,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_1868]) ).
cnf(c_0_2821,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1869]) ).
cnf(c_0_2822,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1869]) ).
cnf(c_0_2823,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1870]) ).
cnf(c_0_2824,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1870]) ).
cnf(c_0_2825,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1871]) ).
cnf(c_0_2826,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1871]) ).
cnf(c_0_2827,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1872]) ).
cnf(c_0_2828,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1872]) ).
cnf(c_0_2829,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1873]) ).
cnf(c_0_2830,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1873]) ).
cnf(c_0_2831,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1874]) ).
cnf(c_0_2832,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1874]) ).
cnf(c_0_2833,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1875]) ).
cnf(c_0_2834,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1876]) ).
cnf(c_0_2835,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1869]) ).
cnf(c_0_2836,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1870]) ).
cnf(c_0_2837,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1877]) ).
cnf(c_0_2838,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1878]) ).
cnf(c_0_2839,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1879]) ).
cnf(c_0_2840,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1880]) ).
cnf(c_0_2841,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1881]) ).
cnf(c_0_2842,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1882]) ).
cnf(c_0_2843,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1873]) ).
cnf(c_0_2844,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1874]) ).
cnf(c_0_2845,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_2(X2,X1)),dom_pname_com(body)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2846,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1838]) ).
cnf(c_0_2847,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1839]) ).
cnf(c_0_2848,plain,
( hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2849,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1883]) ).
cnf(c_0_2850,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1884]) ).
cnf(c_0_2851,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1885]) ).
cnf(c_0_2852,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1886]) ).
cnf(c_0_2853,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))),X3),
inference(split_conjunct,[status(thm)],[c_0_1887]) ).
cnf(c_0_2854,plain,
( hBOOL(hAPP_com_bool(X1,X2))
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,esk96_3(X2,X1,X3)),set_com(X3)))
| X3 != some_com(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1888]) ).
cnf(c_0_2855,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| is_pname(esk131_4(X3,X4,X1,X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1767]) ).
cnf(c_0_2856,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1889]) ).
cnf(c_0_2857,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1890]) ).
cnf(c_0_2858,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1891]) ).
cnf(c_0_2859,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2860,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2861,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk39_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1840]) ).
cnf(c_0_2862,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk37_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2863,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk36_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1842]) ).
cnf(c_0_2864,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk34_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1843]) ).
cnf(c_0_2865,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk33_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1844]) ).
cnf(c_0_2866,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk32_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1845]) ).
cnf(c_0_2867,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),X1) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1892]) ).
cnf(c_0_2868,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),X1) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1893]) ).
cnf(c_0_2869,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2870,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk40_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1846]) ).
cnf(c_0_2871,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk38_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1847]) ).
cnf(c_0_2872,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk35_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1848]) ).
cnf(c_0_2873,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk31_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1849]) ).
cnf(c_0_2874,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1850]) ).
cnf(c_0_2875,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1883]) ).
cnf(c_0_2876,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1884]) ).
cnf(c_0_2877,plain,
( hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1885]) ).
cnf(c_0_2878,plain,
( hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_1886]) ).
cnf(c_0_2879,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1889]) ).
cnf(c_0_2880,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1890]) ).
cnf(c_0_2881,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1894]) ).
cnf(c_0_2882,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1895]) ).
cnf(c_0_2883,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1896]) ).
cnf(c_0_2884,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1897]) ).
cnf(c_0_2885,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1898]) ).
cnf(c_0_2886,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1899]) ).
cnf(c_0_2887,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1900]) ).
cnf(c_0_2888,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1901]) ).
cnf(c_0_2889,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1902]) ).
cnf(c_0_2890,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1903]) ).
cnf(c_0_2891,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk47_2(X2,X1)),esk48_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_2892,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk45_2(X2,X1)),esk46_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_2893,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk43_2(X2,X1)),esk44_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_2894,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk41_2(X2,X1)),esk42_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_2895,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2896,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2897,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(X3,esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2898,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2899,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1883]) ).
cnf(c_0_2900,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1884]) ).
cnf(c_0_2901,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1885]) ).
cnf(c_0_2902,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| ~ hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1886]) ).
cnf(c_0_2903,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1904]) ).
cnf(c_0_2904,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1905]) ).
cnf(c_0_2905,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1906]) ).
cnf(c_0_2906,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1907]) ).
cnf(c_0_2907,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2908,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2909,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2910,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2911,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X2,X1)),esk108_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2912,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X2,X1)),esk102_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2913,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1908]) ).
cnf(c_0_2914,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1909]) ).
cnf(c_0_2915,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1910]) ).
cnf(c_0_2916,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1911]) ).
cnf(c_0_2917,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1912]) ).
cnf(c_0_2918,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1913]) ).
cnf(c_0_2919,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1914]) ).
cnf(c_0_2920,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1915]) ).
cnf(c_0_2921,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1916]) ).
cnf(c_0_2922,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1917]) ).
cnf(c_0_2923,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1918]) ).
cnf(c_0_2924,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1919]) ).
cnf(c_0_2925,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1920]) ).
cnf(c_0_2926,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1921]) ).
cnf(c_0_2927,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1922]) ).
cnf(c_0_2928,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| is_pname(esk16_2(X2,X1))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2929,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1923]) ).
cnf(c_0_2930,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| ~ is_pname(X3)
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1924]) ).
cnf(c_0_2931,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1925]) ).
cnf(c_0_2932,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1926]) ).
cnf(c_0_2933,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1927]) ).
cnf(c_0_2934,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1928]) ).
cnf(c_0_2935,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1904]) ).
cnf(c_0_2936,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1905]) ).
cnf(c_0_2937,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1906]) ).
cnf(c_0_2938,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1907]) ).
cnf(c_0_2939,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1929]) ).
cnf(c_0_2940,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1930]) ).
cnf(c_0_2941,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1931]) ).
cnf(c_0_2942,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1932]) ).
cnf(c_0_2943,plain,
( hBOOL(hAPP_com_bool(X1,X2))
| X3 != some_com(X2)
| ~ hBOOL(hAPP_com_bool(X1,esk96_3(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1888]) ).
cnf(c_0_2944,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1909]) ).
cnf(c_0_2945,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1910]) ).
cnf(c_0_2946,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1933]) ).
cnf(c_0_2947,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1933]) ).
cnf(c_0_2948,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1934]) ).
cnf(c_0_2949,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1934]) ).
cnf(c_0_2950,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1915]) ).
cnf(c_0_2951,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1915]) ).
cnf(c_0_2952,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1916]) ).
cnf(c_0_2953,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1916]) ).
cnf(c_0_2954,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1935]) ).
cnf(c_0_2955,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_1936]) ).
cnf(c_0_2956,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1937]) ).
cnf(c_0_2957,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1938]) ).
cnf(c_0_2958,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1919]) ).
cnf(c_0_2959,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1919]) ).
cnf(c_0_2960,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1920]) ).
cnf(c_0_2961,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1920]) ).
cnf(c_0_2962,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1939]) ).
cnf(c_0_2963,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1939]) ).
cnf(c_0_2964,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1940]) ).
cnf(c_0_2965,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1940]) ).
cnf(c_0_2966,plain,
( X1 = hAPP_f759274231e_bool(image_pname_pname(X2),esk39_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1840]) ).
cnf(c_0_2967,plain,
( X1 = hAPP_f434788991l_bool(image_47868345e_bool(X2),esk37_3(X2,X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2968,plain,
( X1 = hAPP_f1745235422e_bool(image_1925245338_pname(X2),esk36_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1842]) ).
cnf(c_0_2969,plain,
( X1 = hAPP_f748867288l_bool(image_1259634916e_bool(X2),esk34_3(X2,X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1843]) ).
cnf(c_0_2970,plain,
( X1 = hAPP_f280588268e_bool(image_636285904_pname(X2),esk33_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1844]) ).
cnf(c_0_2971,plain,
( X1 = hAPP_f674760225e_bool(image_1283814551_pname(X2),esk32_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1845]) ).
cnf(c_0_2972,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1941]) ).
cnf(c_0_2973,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1942]) ).
cnf(c_0_2974,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1898]) ).
cnf(c_0_2975,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1899]) ).
cnf(c_0_2976,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1943]) ).
cnf(c_0_2977,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1944]) ).
cnf(c_0_2978,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk81_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2979,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk81_3(X1,X4,X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2980,plain,
( X1 = hAPP_f631639356e_bool(image_275883510_state(X2),esk40_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1846]) ).
cnf(c_0_2981,plain,
( X1 = hAPP_f1874607724l_bool(image_505480954e_bool(X2),esk38_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1847]) ).
cnf(c_0_2982,plain,
( X1 = hAPP_f854625363l_bool(image_277167759e_bool(X2),esk35_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1848]) ).
cnf(c_0_2983,plain,
( X1 = hAPP_f772567431e_bool(image_774712299_state(X2),esk31_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1849]) ).
cnf(c_0_2984,plain,
( X1 = hAPP_f780887186e_bool(image_936554724_state(X2),esk30_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1850]) ).
cnf(c_0_2985,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(split_conjunct,[status(thm)],[c_0_1945]) ).
cnf(c_0_2986,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1892]) ).
cnf(c_0_2987,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1893]) ).
cnf(c_0_2988,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1946]) ).
cnf(c_0_2989,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1947]) ).
cnf(c_0_2990,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1948]) ).
cnf(c_0_2991,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1949]) ).
cnf(c_0_2992,plain,
( is_fun_pname_bool(esk39_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1840]) ).
cnf(c_0_2993,plain,
( is_fun_pname_bool(esk37_3(X2,X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2994,plain,
( is_fun1661590463l_bool(esk32_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1845]) ).
cnf(c_0_2995,plain,
( hAPP_f674760225e_bool(X3,X4) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1830]) ).
cnf(c_0_2996,plain,
( hAPP_f1297739591_pname(X3,X4) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1831]) ).
cnf(c_0_2997,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1950]) ).
cnf(c_0_2998,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1951]) ).
cnf(c_0_2999,plain,
( is_fun_pname_bool(esk40_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1846]) ).
cnf(c_0_3000,plain,
( is_fun_pname_bool(esk38_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1847]) ).
cnf(c_0_3001,plain,
( is_fun1661590463l_bool(esk30_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1850]) ).
cnf(c_0_3002,plain,
( hAPP_f772567431e_bool(X2,X3) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1836]) ).
cnf(c_0_3003,plain,
( hAPP_f2143211163_state(X2,X3) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1837]) ).
cnf(c_0_3004,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(esk124_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1731]) ).
cnf(c_0_3005,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(esk125_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1731]) ).
cnf(c_0_3006,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(esk120_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_3007,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(esk121_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_3008,plain,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2),
inference(split_conjunct,[status(thm)],[c_0_1952]) ).
cnf(c_0_3009,plain,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2),
inference(split_conjunct,[status(thm)],[c_0_1953]) ).
cnf(c_0_3010,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2),
inference(split_conjunct,[status(thm)],[c_0_1954]) ).
cnf(c_0_3011,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2),
inference(split_conjunct,[status(thm)],[c_0_1955]) ).
cnf(c_0_3012,plain,
( X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1956]) ).
cnf(c_0_3013,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1957]) ).
cnf(c_0_3014,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1958]) ).
cnf(c_0_3015,plain,
( hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X1))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1959]) ).
cnf(c_0_3016,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1960]) ).
cnf(c_0_3017,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1961]) ).
cnf(c_0_3018,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1962]) ).
cnf(c_0_3019,plain,
( X1 = hAPP_f1745235422e_bool(image_1925245338_pname(X2),esk14_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1856]) ).
cnf(c_0_3020,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1963]) ).
cnf(c_0_3021,plain,
( X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1964]) ).
cnf(c_0_3022,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk68_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_3023,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk67_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1736]) ).
cnf(c_0_3024,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk66_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1737]) ).
cnf(c_0_3025,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk65_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1738]) ).
cnf(c_0_3026,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk64_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1739]) ).
cnf(c_0_3027,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk63_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1740]) ).
cnf(c_0_3028,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk62_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1741]) ).
cnf(c_0_3029,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk61_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1742]) ).
cnf(c_0_3030,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk60_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1743]) ).
cnf(c_0_3031,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk59_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1744]) ).
cnf(c_0_3032,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk58_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1745]) ).
cnf(c_0_3033,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1746]) ).
cnf(c_0_3034,plain,
( X1 = hAPP_H1344248906_pname(X2,esk17_3(X1,X2,X3))
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1855]) ).
cnf(c_0_3035,plain,
( X1 = hAPP_f631639356e_bool(image_275883510_state(X2),esk15_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1866]) ).
cnf(c_0_3036,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1965]) ).
cnf(c_0_3037,plain,
( X4 = X2
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3038,plain,
( X4 = X2
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3039,plain,
( X3 = X1
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3040,plain,
( X3 = X1
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3041,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1967]) ).
cnf(c_0_3042,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1968]) ).
cnf(c_0_3043,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1969]) ).
cnf(c_0_3044,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1970]) ).
cnf(c_0_3045,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1971]) ).
cnf(c_0_3046,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1972]) ).
cnf(c_0_3047,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1973]) ).
cnf(c_0_3048,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1974]) ).
cnf(c_0_3049,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1975]) ).
cnf(c_0_3050,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(split_conjunct,[status(thm)],[c_0_1976]) ).
cnf(c_0_3051,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1977]) ).
cnf(c_0_3052,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1978]) ).
cnf(c_0_3053,plain,
( X1 = hAPP_p1842370726_state(X2,esk18_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1865]) ).
cnf(c_0_3054,plain,
( X1 = hAPP_p1842370726_state(X2,esk13_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1867]) ).
cnf(c_0_3055,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1979]) ).
cnf(c_0_3056,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1980]) ).
cnf(c_0_3057,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1981]) ).
cnf(c_0_3058,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1982]) ).
cnf(c_0_3059,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1983]) ).
cnf(c_0_3060,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_1984]) ).
cnf(c_0_3061,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X2,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1985]) ).
cnf(c_0_3062,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X2,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1986]) ).
cnf(c_0_3063,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_3064,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1987]) ).
cnf(c_0_3065,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1988]) ).
cnf(c_0_3066,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1923]) ).
cnf(c_0_3067,plain,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_1989]) ).
cnf(c_0_3068,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1990]) ).
cnf(c_0_3069,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1851]) ).
cnf(c_0_3070,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1852]) ).
cnf(c_0_3071,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1802]) ).
cnf(c_0_3072,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1991]) ).
cnf(c_0_3073,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1992]) ).
cnf(c_0_3074,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1993]) ).
cnf(c_0_3075,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1994]) ).
cnf(c_0_3076,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1995]) ).
cnf(c_0_3077,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1996]) ).
cnf(c_0_3078,plain,
( is_pname(esk18_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1865]) ).
cnf(c_0_3079,plain,
( is_fun_pname_bool(esk15_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1866]) ).
cnf(c_0_3080,plain,
( is_pname(esk13_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1867]) ).
cnf(c_0_3081,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_pname(esk23_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_3082,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_fun_pname_bool(esk24_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_3083,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun_pname_bool(esk19_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_3084,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun1661590463l_bool(esk20_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_3085,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X3))
| hBOOL(hAPP_state_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1997]) ).
cnf(c_0_3086,plain,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1853]) ).
cnf(c_0_3087,plain,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1854]) ).
cnf(c_0_3088,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1998]) ).
cnf(c_0_3089,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1999]) ).
cnf(c_0_3090,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,esk135_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2000]) ).
cnf(c_0_3091,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,esk134_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2001]) ).
cnf(c_0_3092,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_pname_bool(X2,esk133_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2002]) ).
cnf(c_0_3093,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(X2,esk132_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2003]) ).
cnf(c_0_3094,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2004]) ).
cnf(c_0_3095,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2005]) ).
cnf(c_0_3096,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| is_pname(esk71_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_3097,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2006]) ).
cnf(c_0_3098,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2007]) ).
cnf(c_0_3099,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2008]) ).
cnf(c_0_3100,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2009]) ).
cnf(c_0_3101,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1894]) ).
cnf(c_0_3102,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1894]) ).
cnf(c_0_3103,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1895]) ).
cnf(c_0_3104,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1895]) ).
cnf(c_0_3105,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2010]) ).
cnf(c_0_3106,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2011]) ).
cnf(c_0_3107,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2012]) ).
cnf(c_0_3108,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2013]) ).
cnf(c_0_3109,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2014]) ).
cnf(c_0_3110,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2014]) ).
cnf(c_0_3111,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2015]) ).
cnf(c_0_3112,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2015]) ).
cnf(c_0_3113,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2016]) ).
cnf(c_0_3114,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2017]) ).
cnf(c_0_3115,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1931]) ).
cnf(c_0_3116,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2018]) ).
cnf(c_0_3117,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2019]) ).
cnf(c_0_3118,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2020]) ).
cnf(c_0_3119,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2021]) ).
cnf(c_0_3120,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X1))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2022]) ).
cnf(c_0_3121,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_2023]) ).
cnf(c_0_3122,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_2024]) ).
cnf(c_0_3123,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2025]) ).
cnf(c_0_3124,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2026]) ).
cnf(c_0_3125,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2027]) ).
cnf(c_0_3126,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2028]) ).
cnf(c_0_3127,plain,
( X1 = X3
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3128,plain,
( X1 = X3
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3129,plain,
( X2 = X4
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3130,plain,
( X2 = X4
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3131,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_1908]) ).
cnf(c_0_3132,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2030]) ).
cnf(c_0_3133,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2031]) ).
cnf(c_0_3134,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),esk140_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2032]) ).
cnf(c_0_3135,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),esk138_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2033]) ).
cnf(c_0_3136,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2034]) ).
cnf(c_0_3137,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2035]) ).
cnf(c_0_3138,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2036]) ).
cnf(c_0_3139,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),esk141_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2037]) ).
cnf(c_0_3140,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),esk139_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2038]) ).
cnf(c_0_3141,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2039]) ).
cnf(c_0_3142,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2040]) ).
cnf(c_0_3143,plain,
( hBOOL(hAPP_pname_bool(X3,X1))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2041]) ).
cnf(c_0_3144,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
inference(split_conjunct,[status(thm)],[c_0_2042]) ).
cnf(c_0_3145,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
inference(split_conjunct,[status(thm)],[c_0_2043]) ).
cnf(c_0_3146,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
inference(split_conjunct,[status(thm)],[c_0_2044]) ).
cnf(c_0_3147,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
inference(split_conjunct,[status(thm)],[c_0_2045]) ).
cnf(c_0_3148,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
inference(split_conjunct,[status(thm)],[c_0_2046]) ).
cnf(c_0_3149,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
inference(split_conjunct,[status(thm)],[c_0_2047]) ).
cnf(c_0_3150,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
inference(split_conjunct,[status(thm)],[c_0_2048]) ).
cnf(c_0_3151,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
inference(split_conjunct,[status(thm)],[c_0_2049]) ).
cnf(c_0_3152,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3153,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2051]) ).
cnf(c_0_3154,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2052]) ).
cnf(c_0_3155,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2053]) ).
cnf(c_0_3156,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2054]) ).
cnf(c_0_3157,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2055]) ).
cnf(c_0_3158,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2056]) ).
cnf(c_0_3159,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2057]) ).
cnf(c_0_3160,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2058]) ).
cnf(c_0_3161,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2059]) ).
cnf(c_0_3162,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2060]) ).
cnf(c_0_3163,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2061]) ).
cnf(c_0_3164,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2062]) ).
cnf(c_0_3165,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2063]) ).
cnf(c_0_3166,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2064]) ).
cnf(c_0_3167,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ is_fun_pname_bool(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1866]) ).
cnf(c_0_3168,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_fun_pname_bool(X1)
| X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1856]) ).
cnf(c_0_3169,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2065]) ).
cnf(c_0_3170,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2066]) ).
cnf(c_0_3171,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2067]) ).
cnf(c_0_3172,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2068]) ).
cnf(c_0_3173,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2069]) ).
cnf(c_0_3174,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2070]) ).
cnf(c_0_3175,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2071]) ).
cnf(c_0_3176,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2072]) ).
cnf(c_0_3177,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2073]) ).
cnf(c_0_3178,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2074]) ).
cnf(c_0_3179,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2075]) ).
cnf(c_0_3180,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2076]) ).
cnf(c_0_3181,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| ~ is_pname(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1867]) ).
cnf(c_0_3182,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_3183,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2078]) ).
cnf(c_0_3184,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| X1 != hAPP_H1344248906_pname(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2079]) ).
cnf(c_0_3185,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2080]) ).
cnf(c_0_3186,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| X1 != hAPP_H1344248906_pname(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2081]) ).
cnf(c_0_3187,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f1760790145l_bool(X1,esk135_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2000]) ).
cnf(c_0_3188,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1664156314l_bool(X1,esk134_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2001]) ).
cnf(c_0_3189,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_pname_bool(X1,esk133_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2002]) ).
cnf(c_0_3190,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_H513860823e_bool(X1,esk132_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2003]) ).
cnf(c_0_3191,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2082]) ).
cnf(c_0_3192,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2082]) ).
cnf(c_0_3193,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2083]) ).
cnf(c_0_3194,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2083]) ).
cnf(c_0_3195,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2084]) ).
cnf(c_0_3196,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2084]) ).
cnf(c_0_3197,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2085]) ).
cnf(c_0_3198,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2085]) ).
cnf(c_0_3199,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2086]) ).
cnf(c_0_3200,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2087]) ).
cnf(c_0_3201,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2088]) ).
cnf(c_0_3202,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2089]) ).
cnf(c_0_3203,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1946]) ).
cnf(c_0_3204,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1947]) ).
cnf(c_0_3205,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2090]) ).
cnf(c_0_3206,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2091]) ).
cnf(c_0_3207,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4)
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2092]) ).
cnf(c_0_3208,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2093]) ).
cnf(c_0_3209,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2094]) ).
cnf(c_0_3210,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2095]) ).
cnf(c_0_3211,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2096]) ).
cnf(c_0_3212,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2097]) ).
cnf(c_0_3213,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2098]) ).
cnf(c_0_3214,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2099]) ).
cnf(c_0_3215,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2100]) ).
cnf(c_0_3216,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_2101]) ).
cnf(c_0_3217,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2102]) ).
cnf(c_0_3218,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2103]) ).
cnf(c_0_3219,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2104]) ).
cnf(c_0_3220,plain,
hAPP_f2143211163_state(the_el23965208_state,X1) = hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X1)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_2105]) ).
cnf(c_0_3221,plain,
hAPP_f1297739591_pname(the_elem_pname,X1) = hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X1)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))),
inference(split_conjunct,[status(thm)],[c_0_2106]) ).
cnf(c_0_3222,plain,
( X1 = X4
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_2107]) ).
cnf(c_0_3223,plain,
( X2 = X5
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_2107]) ).
cnf(c_0_3224,plain,
( X3 = X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(split_conjunct,[status(thm)],[c_0_2107]) ).
cnf(c_0_3225,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2108]) ).
cnf(c_0_3226,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2109]) ).
cnf(c_0_3227,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2110]) ).
cnf(c_0_3228,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2082]) ).
cnf(c_0_3229,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2083]) ).
cnf(c_0_3230,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2084]) ).
cnf(c_0_3231,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2085]) ).
cnf(c_0_3232,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2111]) ).
cnf(c_0_3233,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2112]) ).
cnf(c_0_3234,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2113]) ).
cnf(c_0_3235,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2114]) ).
cnf(c_0_3236,plain,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2115]) ).
cnf(c_0_3237,plain,
( X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2116]) ).
cnf(c_0_3238,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2117]) ).
cnf(c_0_3239,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2118]) ).
cnf(c_0_3240,plain,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2119]) ).
cnf(c_0_3241,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2120]) ).
cnf(c_0_3242,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X2,X1)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1985]) ).
cnf(c_0_3243,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X2,X1)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1986]) ).
cnf(c_0_3244,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2121]) ).
cnf(c_0_3245,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2122]) ).
cnf(c_0_3246,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3247,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_3248,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2102]) ).
cnf(c_0_3249,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2123]) ).
cnf(c_0_3250,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2124]) ).
cnf(c_0_3251,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| is_fun_pname_bool(esk134_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2001]) ).
cnf(c_0_3252,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| is_pname(esk133_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2002]) ).
cnf(c_0_3253,plain,
hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2125]) ).
cnf(c_0_3254,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2126]) ).
cnf(c_0_3255,plain,
( X2 = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2127]) ).
cnf(c_0_3256,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2128]) ).
cnf(c_0_3257,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2129]) ).
cnf(c_0_3258,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2130]) ).
cnf(c_0_3259,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2131]) ).
cnf(c_0_3260,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1923]) ).
cnf(c_0_3261,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2041]) ).
cnf(c_0_3262,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1989]) ).
cnf(c_0_3263,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2108]) ).
cnf(c_0_3264,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2132]) ).
cnf(c_0_3265,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2133]) ).
cnf(c_0_3266,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1931]) ).
cnf(c_0_3267,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2020]) ).
cnf(c_0_3268,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2021]) ).
cnf(c_0_3269,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2025]) ).
cnf(c_0_3270,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2026]) ).
cnf(c_0_3271,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2134]) ).
cnf(c_0_3272,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2135]) ).
cnf(c_0_3273,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2136]) ).
cnf(c_0_3274,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2137]) ).
cnf(c_0_3275,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2138]) ).
cnf(c_0_3276,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2138]) ).
cnf(c_0_3277,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2076]) ).
cnf(c_0_3278,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk68_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_3279,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(esk64_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1739]) ).
cnf(c_0_3280,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk62_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1741]) ).
cnf(c_0_3281,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(esk60_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1743]) ).
cnf(c_0_3282,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk58_2(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1745]) ).
cnf(c_0_3283,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk57_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(split_conjunct,[status(thm)],[c_0_1746]) ).
cnf(c_0_3284,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2139]) ).
cnf(c_0_3285,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2140]) ).
cnf(c_0_3286,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2141]) ).
cnf(c_0_3287,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2142]) ).
cnf(c_0_3288,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2143]) ).
cnf(c_0_3289,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2144]) ).
cnf(c_0_3290,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2145]) ).
cnf(c_0_3291,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2146]) ).
cnf(c_0_3292,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2147]) ).
cnf(c_0_3293,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2148]) ).
cnf(c_0_3294,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2149]) ).
cnf(c_0_3295,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2150]) ).
cnf(c_0_3296,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2151]) ).
cnf(c_0_3297,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))),
inference(split_conjunct,[status(thm)],[c_0_2152]) ).
cnf(c_0_3298,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2153]) ).
cnf(c_0_3299,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_2154]) ).
cnf(c_0_3300,plain,
hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2155]) ).
cnf(c_0_3301,plain,
hAPP_f1745235422e_bool(image_1925245338_pname(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2156]) ).
cnf(c_0_3302,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X4
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3303,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X3
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_3304,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk156_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_3305,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk157_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_3306,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk154_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3307,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk155_2(X1,X2)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3308,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2157]) ).
cnf(c_0_3309,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2158]) ).
cnf(c_0_3310,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2159]) ).
cnf(c_0_3311,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2160]) ).
cnf(c_0_3312,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2161]) ).
cnf(c_0_3313,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2162]) ).
cnf(c_0_3314,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2163]) ).
cnf(c_0_3315,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)),
inference(split_conjunct,[status(thm)],[c_0_2164]) ).
cnf(c_0_3316,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2023]) ).
cnf(c_0_3317,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2116]) ).
cnf(c_0_3318,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2165]) ).
cnf(c_0_3319,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2166]) ).
cnf(c_0_3320,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2167]) ).
cnf(c_0_3321,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2168]) ).
cnf(c_0_3322,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2169]) ).
cnf(c_0_3323,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2169]) ).
cnf(c_0_3324,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2170]) ).
cnf(c_0_3325,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2170]) ).
cnf(c_0_3326,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2171]) ).
cnf(c_0_3327,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2171]) ).
cnf(c_0_3328,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2172]) ).
cnf(c_0_3329,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2172]) ).
cnf(c_0_3330,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2086]) ).
cnf(c_0_3331,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2087]) ).
cnf(c_0_3332,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2088]) ).
cnf(c_0_3333,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2089]) ).
cnf(c_0_3334,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2173]) ).
cnf(c_0_3335,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2174]) ).
cnf(c_0_3336,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2175]) ).
cnf(c_0_3337,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2176]) ).
cnf(c_0_3338,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_2177]) ).
cnf(c_0_3339,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_2178]) ).
cnf(c_0_3340,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,esk137_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2179]) ).
cnf(c_0_3341,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,esk136_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2180]) ).
cnf(c_0_3342,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2127]) ).
cnf(c_0_3343,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2181]) ).
cnf(c_0_3344,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2182]) ).
cnf(c_0_3345,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2183]) ).
cnf(c_0_3346,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2184]) ).
cnf(c_0_3347,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2185]) ).
cnf(c_0_3348,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2186]) ).
cnf(c_0_3349,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2187]) ).
cnf(c_0_3350,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2188]) ).
cnf(c_0_3351,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_3352,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_3353,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_3354,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_3355,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2189]) ).
cnf(c_0_3356,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_pname_bool(X3,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2190]) ).
cnf(c_0_3357,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2191]) ).
cnf(c_0_3358,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| ~ hBOOL(hAPP_pname_bool(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2192]) ).
cnf(c_0_3359,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_3360,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_3361,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_3362,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_3363,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_3364,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_3365,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_3366,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_3367,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2041]) ).
cnf(c_0_3368,plain,
( X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),esk140_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2032]) ).
cnf(c_0_3369,plain,
( X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),esk138_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2033]) ).
cnf(c_0_3370,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2193]) ).
cnf(c_0_3371,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2194]) ).
cnf(c_0_3372,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2195]) ).
cnf(c_0_3373,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2196]) ).
cnf(c_0_3374,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2197]) ).
cnf(c_0_3375,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2198]) ).
cnf(c_0_3376,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2199]) ).
cnf(c_0_3377,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2200]) ).
cnf(c_0_3378,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X1)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2201]) ).
cnf(c_0_3379,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2202]) ).
cnf(c_0_3380,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk72_1(X1)),esk73_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_3381,plain,
( X2 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),esk141_2(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2037]) ).
cnf(c_0_3382,plain,
( X2 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),esk139_2(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2038]) ).
cnf(c_0_3383,plain,
( hAPP_p799580910on_com(X1,X2) = some_com(esk69_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2204]) ).
cnf(c_0_3384,plain,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X3 != X6
| X2 != X5
| X1 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_2107]) ).
cnf(c_0_3385,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk74_1(X1)),esk75_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2205]) ).
cnf(c_0_3386,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2076]) ).
cnf(c_0_3387,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2206]) ).
cnf(c_0_3388,plain,
( hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2207]) ).
cnf(c_0_3389,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2208]) ).
cnf(c_0_3390,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2209]) ).
cnf(c_0_3391,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2210]) ).
cnf(c_0_3392,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2211]) ).
cnf(c_0_3393,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2212]) ).
cnf(c_0_3394,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2213]) ).
cnf(c_0_3395,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2214]) ).
cnf(c_0_3396,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2215]) ).
cnf(c_0_3397,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2216]) ).
cnf(c_0_3398,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2217]) ).
cnf(c_0_3399,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2218]) ).
cnf(c_0_3400,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2219]) ).
cnf(c_0_3401,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2220]) ).
cnf(c_0_3402,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_3403,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_H513860823e_bool(X1,esk137_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2179]) ).
cnf(c_0_3404,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_pname_bool(X1,esk136_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2180]) ).
cnf(c_0_3405,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2221]) ).
cnf(c_0_3406,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2222]) ).
cnf(c_0_3407,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2223]) ).
cnf(c_0_3408,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2224]) ).
cnf(c_0_3409,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2225]) ).
cnf(c_0_3410,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2226]) ).
cnf(c_0_3411,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2227]) ).
cnf(c_0_3412,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2228]) ).
cnf(c_0_3413,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2229]) ).
cnf(c_0_3414,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2230]) ).
cnf(c_0_3415,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2231]) ).
cnf(c_0_3416,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2232]) ).
cnf(c_0_3417,plain,
( is_fun_pname_bool(esk140_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2032]) ).
cnf(c_0_3418,plain,
( is_fun_pname_bool(esk138_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2033]) ).
cnf(c_0_3419,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2233]) ).
cnf(c_0_3420,plain,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2233]) ).
cnf(c_0_3421,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,while(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2234]) ).
cnf(c_0_3422,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3423,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3424,plain,
hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X1),X2),X3) = hAPP_H521649881_state(hAPP_p964374716_state(X1,X3),hAPP_p1842370726_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2237]) ).
cnf(c_0_3425,plain,
hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X1),X2),X3) = hAPP_c408625258_state(hAPP_p2032835427_state(X1,X3),hAPP_pname_com(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2238]) ).
cnf(c_0_3426,plain,
hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_p1712839024_state(X1,X3),hAPP_p1637813682e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2239]) ).
cnf(c_0_3427,plain,
hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X1),X2),X3) = hAPP_H563960305_state(hAPP_p80247908_state(X1,X3),hAPP_p1842370726_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2240]) ).
cnf(c_0_3428,plain,
hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X1),X2),X3) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X1,X3),hAPP_p799580910on_com(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2241]) ).
cnf(c_0_3429,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1508101115l_bool(X1,X3),hAPP_f1760790145l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2242]) ).
cnf(c_0_3430,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_H226398757l_bool(X1,X3),hAPP_H513860823e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2243]) ).
cnf(c_0_3431,plain,
hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X1),X2),X3) = hAPP_o356497025on_com(hAPP_p1086945780on_com(X1,X3),hAPP_p799580910on_com(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2244]) ).
cnf(c_0_3432,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2245]) ).
cnf(c_0_3433,plain,
hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),hAPP_state_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2246]) ).
cnf(c_0_3434,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2247]) ).
cnf(c_0_3435,plain,
( X1 = some_pname(X2)
| ~ is_option_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2248]) ).
cnf(c_0_3436,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2249]) ).
cnf(c_0_3437,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2250]) ).
cnf(c_0_3438,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2251]) ).
cnf(c_0_3439,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk45_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_3440,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk46_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_3441,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk41_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_3442,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk42_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_3443,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2252]) ).
cnf(c_0_3444,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2253]) ).
cnf(c_0_3445,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2254]) ).
cnf(c_0_3446,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2255]) ).
cnf(c_0_3447,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2256]) ).
cnf(c_0_3448,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2257]) ).
cnf(c_0_3449,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2258]) ).
cnf(c_0_3450,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2259]) ).
cnf(c_0_3451,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2260]) ).
cnf(c_0_3452,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2261]) ).
cnf(c_0_3453,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2262]) ).
cnf(c_0_3454,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2263]) ).
cnf(c_0_3455,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2264]) ).
cnf(c_0_3456,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2265]) ).
cnf(c_0_3457,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2266]) ).
cnf(c_0_3458,plain,
( X1 = some_com(X2)
| ~ hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X2),set_com(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2267]) ).
cnf(c_0_3459,plain,
( X1 = some_H1133819688_state(X2)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),set_Ho1831989999_state(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2268]) ).
cnf(c_0_3460,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2210]) ).
cnf(c_0_3461,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_3462,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_3463,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_3464,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_3465,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2213]) ).
cnf(c_0_3466,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2216]) ).
cnf(c_0_3467,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2269]) ).
cnf(c_0_3468,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2270]) ).
cnf(c_0_3469,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)) = X2
| ~ hBOOL(finite1282449217_pname(X3,X1))
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2271]) ).
cnf(c_0_3470,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != bot_bo1055319631e_bool
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2205]) ).
cnf(c_0_3471,plain,
( hAPP_p799580910on_com(body,X1) = some_com(esk27_1(X1))
| ~ hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2272]) ).
cnf(c_0_3472,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2273]) ).
cnf(c_0_3473,plain,
( ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2274]) ).
cnf(c_0_3474,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2275]) ).
cnf(c_0_3475,plain,
( X1 = X2
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2276]) ).
cnf(c_0_3476,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2223]) ).
cnf(c_0_3477,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2226]) ).
cnf(c_0_3478,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2229]) ).
cnf(c_0_3479,plain,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
inference(split_conjunct,[status(thm)],[c_0_2277]) ).
cnf(c_0_3480,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_3481,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_3482,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = X2
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2278]) ).
cnf(c_0_3483,plain,
( hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2279]) ).
cnf(c_0_3484,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2280]) ).
cnf(c_0_3485,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| X1 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2281]) ).
cnf(c_0_3486,plain,
X1 = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,esk128_1(X1)),esk129_1(X1)),esk130_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2282]) ).
cnf(c_0_3487,plain,
( hBOOL(X1)
| hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2283]) ).
cnf(c_0_3488,plain,
( X1 = X2
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2284]) ).
cnf(c_0_3489,plain,
hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2285]) ).
cnf(c_0_3490,plain,
hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X1),X2),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2286]) ).
cnf(c_0_3491,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2287]) ).
cnf(c_0_3492,plain,
hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2288]) ).
cnf(c_0_3493,plain,
hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2289]) ).
cnf(c_0_3494,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2290]) ).
cnf(c_0_3495,plain,
hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2291]) ).
cnf(c_0_3496,plain,
hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2292]) ).
cnf(c_0_3497,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2293]) ).
cnf(c_0_3498,plain,
hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f1745235422e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2294]) ).
cnf(c_0_3499,plain,
hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2295]) ).
cnf(c_0_3500,plain,
hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2296]) ).
cnf(c_0_3501,plain,
hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2297]) ).
cnf(c_0_3502,plain,
hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X1),X2),X3) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2298]) ).
cnf(c_0_3503,plain,
hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X1),X2),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2299]) ).
cnf(c_0_3504,plain,
hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2300]) ).
cnf(c_0_3505,plain,
hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_H1632039476e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2301]) ).
cnf(c_0_3506,plain,
hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2302]) ).
cnf(c_0_3507,plain,
hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f759274231e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2303]) ).
cnf(c_0_3508,plain,
hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X1),X2),X3) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2304]) ).
cnf(c_0_3509,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2305]) ).
cnf(c_0_3510,plain,
hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X1),X2),X3) = hAPP_state_bool(hAPP_s1806633685e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2306]) ).
cnf(c_0_3511,plain,
hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2307]) ).
cnf(c_0_3512,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_2308]) ).
cnf(c_0_3513,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2309]) ).
cnf(c_0_3514,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2310]) ).
cnf(c_0_3515,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2250]) ).
cnf(c_0_3516,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2251]) ).
cnf(c_0_3517,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2311]) ).
cnf(c_0_3518,plain,
( X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2312]) ).
cnf(c_0_3519,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2313]) ).
cnf(c_0_3520,plain,
( hBOOL(hAPP_com_bool(wt,while(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2314]) ).
cnf(c_0_3521,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2315]) ).
cnf(c_0_3522,plain,
( X1 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2316]) ).
cnf(c_0_3523,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2317]) ).
cnf(c_0_3524,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X2 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2318]) ).
cnf(c_0_3525,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2319]) ).
cnf(c_0_3526,plain,
( X1 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2320]) ).
cnf(c_0_3527,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2321]) ).
cnf(c_0_3528,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2322]) ).
cnf(c_0_3529,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2323]) ).
cnf(c_0_3530,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2324]) ).
cnf(c_0_3531,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_2325]) ).
cnf(c_0_3532,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2269]) ).
cnf(c_0_3533,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2270]) ).
cnf(c_0_3534,plain,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2326]) ).
cnf(c_0_3535,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2327]) ).
cnf(c_0_3536,plain,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2328]) ).
cnf(c_0_3537,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2329]) ).
cnf(c_0_3538,plain,
( X1 = X2
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool) ),
inference(split_conjunct,[status(thm)],[c_0_2330]) ).
cnf(c_0_3539,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool),
inference(split_conjunct,[status(thm)],[c_0_2331]) ).
cnf(c_0_3540,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool),
inference(split_conjunct,[status(thm)],[c_0_2332]) ).
cnf(c_0_3541,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[c_0_2333]) ).
cnf(c_0_3542,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[c_0_2334]) ).
cnf(c_0_3543,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_2335]) ).
cnf(c_0_3544,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_2336]) ).
cnf(c_0_3545,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2337]) ).
cnf(c_0_3546,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk142_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2338]) ).
cnf(c_0_3547,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk11_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2273]) ).
cnf(c_0_3548,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk9_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2274]) ).
cnf(c_0_3549,plain,
( X1 = bot_bo844097828e_bool
| X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk54_1(X1)),esk53_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3550,plain,
( X1 = bot_bo1649642514l_bool
| X1 = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk50_1(X1)),esk49_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3551,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk136_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2180]) ).
cnf(c_0_3552,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk94_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1801]) ).
cnf(c_0_3553,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk82_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_3554,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk28_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1986]) ).
cnf(c_0_3555,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1)))
| ~ is_option_pname(X1)
| X1 != some_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2248]) ).
cnf(c_0_3556,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk143_1(X1)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2339]) ).
cnf(c_0_3557,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk12_1(X1)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2315]) ).
cnf(c_0_3558,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk10_1(X1)),X1))
| X1 = bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2316]) ).
cnf(c_0_3559,plain,
( X1 = bot_bo1055319631e_bool
| X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk56_1(X1)),esk55_1(X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2280]) ).
cnf(c_0_3560,plain,
( X1 = bot_bo1325454745l_bool
| X1 = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk52_1(X1)),esk51_1(X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2281]) ).
cnf(c_0_3561,plain,
hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X1),evalc(X1)),
inference(split_conjunct,[status(thm)],[c_0_2340]) ).
cnf(c_0_3562,plain,
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X1),set_com(X2)))
| X2 != some_com(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2267]) ).
cnf(c_0_3563,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),set_Ho1831989999_state(X2)))
| X2 != some_H1133819688_state(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2268]) ).
cnf(c_0_3564,plain,
hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_2341]) ).
cnf(c_0_3565,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2115]) ).
cnf(c_0_3566,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2115]) ).
cnf(c_0_3567,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2119]) ).
cnf(c_0_3568,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2119]) ).
cnf(c_0_3569,plain,
hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2342]) ).
cnf(c_0_3570,plain,
hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X1),X2),X3) = hAPP_f1949912908_state(X1,hAPP_p1637813682e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2343]) ).
cnf(c_0_3571,plain,
hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X1),X2),X3) = hAPP_b798484845_state(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2344]) ).
cnf(c_0_3572,plain,
hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f2143211163_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2345]) ).
cnf(c_0_3573,plain,
hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_p877885514e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2346]) ).
cnf(c_0_3574,plain,
hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_H563960305_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2347]) ).
cnf(c_0_3575,plain,
hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f1308959284_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2348]) ).
cnf(c_0_3576,plain,
hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X1),X2),X3) = hAPP_f644196280e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2349]) ).
cnf(c_0_3577,plain,
hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_H1632039476e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2350]) ).
cnf(c_0_3578,plain,
hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_p1842370726_state(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2351]) ).
cnf(c_0_3579,plain,
hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X1),X2),X3) = hAPP_f1760790145l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2352]) ).
cnf(c_0_3580,plain,
hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X1),X2),X3) = hAPP_b1679505845on_com(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2353]) ).
cnf(c_0_3581,plain,
hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X1),X2),X3) = hAPP_f167292325e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2354]) ).
cnf(c_0_3582,plain,
hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1008690464_pname(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2355]) ).
cnf(c_0_3583,plain,
hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2356]) ).
cnf(c_0_3584,plain,
hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X1),X2),X3) = hAPP_f1012183542e_bool(X1,hAPP_s336103912e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2357]) ).
cnf(c_0_3585,plain,
hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X1),X2),X3) = hAPP_f1863945078e_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2358]) ).
cnf(c_0_3586,plain,
hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X1),X2),X3) = hAPP_f1259673775l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2359]) ).
cnf(c_0_3587,plain,
hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2360]) ).
cnf(c_0_3588,plain,
hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_H1344248906_pname(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2361]) ).
cnf(c_0_3589,plain,
hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H513860823e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2362]) ).
cnf(c_0_3590,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2363]) ).
cnf(c_0_3591,plain,
hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2364]) ).
cnf(c_0_3592,plain,
hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2365]) ).
cnf(c_0_3593,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_H513860823e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2366]) ).
cnf(c_0_3594,plain,
hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X1),X2),X3) = hAPP_c1546227244_state(X1,hAPP_pname_com(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2367]) ).
cnf(c_0_3595,plain,
hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2368]) ).
cnf(c_0_3596,plain,
hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X1),X2),X3) = hAPP_f327114704l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2369]) ).
cnf(c_0_3597,plain,
hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X1),X2),X3) = hAPP_f1664156314l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2370]) ).
cnf(c_0_3598,plain,
hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_state_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2371]) ).
cnf(c_0_3599,plain,
hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2372]) ).
cnf(c_0_3600,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2373]) ).
cnf(c_0_3601,plain,
hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X1),X2),X3) = hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2374]) ).
cnf(c_0_3602,plain,
hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_state_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2375]) ).
cnf(c_0_3603,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_2376]) ).
cnf(c_0_3604,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk53_1(X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3605,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk49_1(X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3606,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2377]) ).
cnf(c_0_3607,plain,
( hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2378]) ).
cnf(c_0_3608,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk55_1(X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2280]) ).
cnf(c_0_3609,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk51_1(X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2281]) ).
cnf(c_0_3610,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2379]) ).
cnf(c_0_3611,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2380]) ).
cnf(c_0_3612,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2381]) ).
cnf(c_0_3613,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2311]) ).
cnf(c_0_3614,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2313]) ).
cnf(c_0_3615,plain,
hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X1,
inference(split_conjunct,[status(thm)],[c_0_2382]) ).
cnf(c_0_3616,plain,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_2383]) ).
cnf(c_0_3617,plain,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_2384]) ).
cnf(c_0_3618,plain,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_2385]) ).
cnf(c_0_3619,plain,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_2386]) ).
cnf(c_0_3620,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2387]) ).
cnf(c_0_3621,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2388]) ).
cnf(c_0_3622,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2389]) ).
cnf(c_0_3623,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2390]) ).
cnf(c_0_3624,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2391]) ).
cnf(c_0_3625,plain,
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2392]) ).
cnf(c_0_3626,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2126]) ).
cnf(c_0_3627,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2126]) ).
cnf(c_0_3628,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2393]) ).
cnf(c_0_3629,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2394]) ).
cnf(c_0_3630,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2130]) ).
cnf(c_0_3631,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2130]) ).
cnf(c_0_3632,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2395]) ).
cnf(c_0_3633,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2396]) ).
cnf(c_0_3634,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2397]) ).
cnf(c_0_3635,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2398]) ).
cnf(c_0_3636,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2399]) ).
cnf(c_0_3637,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2399]) ).
cnf(c_0_3638,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2400]) ).
cnf(c_0_3639,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2400]) ).
cnf(c_0_3640,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2401]) ).
cnf(c_0_3641,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_2402]) ).
cnf(c_0_3642,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_2403]) ).
cnf(c_0_3643,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_2404]) ).
cnf(c_0_3644,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_2405]) ).
cnf(c_0_3645,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),dom_pname_com(X2)) = dom_pname_com(X2)
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2406]) ).
cnf(c_0_3646,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2323]) ).
cnf(c_0_3647,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2325]) ).
cnf(c_0_3648,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| bot_bo1649642514l_bool != hAPP_f559147733l_bool(collec1974731493e_bool,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2407]) ).
cnf(c_0_3649,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| bot_bo844097828e_bool != hAPP_f759274231e_bool(collect_pname,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2408]) ).
cnf(c_0_3650,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_2409]) ).
cnf(c_0_3651,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2410]) ).
cnf(c_0_3652,plain,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2411]) ).
cnf(c_0_3653,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2411]) ).
cnf(c_0_3654,plain,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2412]) ).
cnf(c_0_3655,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2412]) ).
cnf(c_0_3656,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_2413]) ).
cnf(c_0_3657,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_2414]) ).
cnf(c_0_3658,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_2415]) ).
cnf(c_0_3659,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_2416]) ).
cnf(c_0_3660,plain,
( hBOOL(hAPP_state_bool(X1,X2))
| ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2417]) ).
cnf(c_0_3661,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool),
inference(split_conjunct,[status(thm)],[c_0_2418]) ).
cnf(c_0_3662,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool),
inference(split_conjunct,[status(thm)],[c_0_2419]) ).
cnf(c_0_3663,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[c_0_2420]) ).
cnf(c_0_3664,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[c_0_2421]) ).
cnf(c_0_3665,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_2422]) ).
cnf(c_0_3666,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_2423]) ).
cnf(c_0_3667,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_2424]) ).
cnf(c_0_3668,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
inference(split_conjunct,[status(thm)],[c_0_2425]) ).
cnf(c_0_3669,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| X2 = bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2426]) ).
cnf(c_0_3670,plain,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| bot_bo1055319631e_bool != hAPP_f921536533e_bool(collec727977250_state,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2427]) ).
cnf(c_0_3671,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| bot_bo1325454745l_bool != hAPP_f1970439265l_bool(collec111528142e_bool,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2428]) ).
cnf(c_0_3672,plain,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2429]) ).
cnf(c_0_3673,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool ),
inference(split_conjunct,[status(thm)],[c_0_2430]) ).
cnf(c_0_3674,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(esk154_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3675,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(esk155_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3676,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| esk156_2(X1,X2) = esk157_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_3677,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| esk154_2(X1,X2) = esk155_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_3678,plain,
( X1 = bot_bo844097828e_bool
| X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk72_1(X1)),esk73_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_3679,plain,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(esk53_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3680,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk54_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3681,plain,
( X1 = bot_bo1649642514l_bool
| is_fun1661590463l_bool(esk49_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3682,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk50_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3683,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2431]) ).
cnf(c_0_3684,plain,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2431]) ).
cnf(c_0_3685,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2432]) ).
cnf(c_0_3686,plain,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2432]) ).
cnf(c_0_3687,plain,
bot_bo1055319631e_bool != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2433]) ).
cnf(c_0_3688,plain,
bot_bo844097828e_bool != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_2434]) ).
cnf(c_0_3689,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2435]) ).
cnf(c_0_3690,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) != bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2436]) ).
cnf(c_0_3691,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(split_conjunct,[status(thm)],[c_0_2437]) ).
cnf(c_0_3692,plain,
( X1 = bot_bo1055319631e_bool
| X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk74_1(X1)),esk75_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2205]) ).
cnf(c_0_3693,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2411]) ).
cnf(c_0_3694,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2412]) ).
cnf(c_0_3695,plain,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2438]) ).
cnf(c_0_3696,plain,
( bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,X1)
| hBOOL(hAPP_H513860823e_bool(X1,esk8_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2427]) ).
cnf(c_0_3697,plain,
( bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,X1)
| hBOOL(hAPP_f1760790145l_bool(X1,esk7_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2428]) ).
cnf(c_0_3698,plain,
( bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X1)
| hBOOL(hAPP_f1664156314l_bool(X1,esk6_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2407]) ).
cnf(c_0_3699,plain,
( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X1)
| hBOOL(hAPP_pname_bool(X1,esk5_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2408]) ).
cnf(c_0_3700,plain,
( hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,esk4_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2429]) ).
cnf(c_0_3701,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X1,esk3_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2430]) ).
cnf(c_0_3702,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X1,esk2_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2409]) ).
cnf(c_0_3703,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X1,esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2410]) ).
cnf(c_0_3704,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2439]) ).
cnf(c_0_3705,plain,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
inference(split_conjunct,[status(thm)],[c_0_2440]) ).
cnf(c_0_3706,plain,
( X1 = X3
| while(X1,X2) != while(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2441]) ).
cnf(c_0_3707,plain,
( X2 = X4
| while(X1,X2) != while(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2441]) ).
cnf(c_0_3708,plain,
( X1 = X3
| semi(X1,X2) != semi(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2442]) ).
cnf(c_0_3709,plain,
( X2 = X4
| semi(X1,X2) != semi(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2442]) ).
cnf(c_0_3710,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2443]) ).
cnf(c_0_3711,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2444]) ).
cnf(c_0_3712,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2445]) ).
cnf(c_0_3713,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2446]) ).
cnf(c_0_3714,plain,
set_com(some_com(X1)) = hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X1),bot_bot_fun_com_bool),
inference(split_conjunct,[status(thm)],[c_0_2447]) ).
cnf(c_0_3715,plain,
set_Ho1831989999_state(some_H1133819688_state(X1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool),
inference(split_conjunct,[status(thm)],[c_0_2448]) ).
cnf(c_0_3716,plain,
set_pname(some_pname(X1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[c_0_2449]) ).
cnf(c_0_3717,plain,
( is_bool(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2450]) ).
cnf(c_0_3718,plain,
( is_bool(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2451]) ).
cnf(c_0_3719,plain,
while(X1,X2) != semi(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_2452]) ).
cnf(c_0_3720,plain,
semi(X1,X2) != while(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_2453]) ).
cnf(c_0_3721,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2454]) ).
cnf(c_0_3722,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2455]) ).
cnf(c_0_3723,plain,
( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2438]) ).
cnf(c_0_3724,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2401]) ).
cnf(c_0_3725,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2456]) ).
cnf(c_0_3726,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2457]) ).
cnf(c_0_3727,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2431]) ).
cnf(c_0_3728,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2432]) ).
cnf(c_0_3729,plain,
semi(X1,X2) != hAPP_pname_com(body_1,X3),
inference(split_conjunct,[status(thm)],[c_0_2458]) ).
cnf(c_0_3730,plain,
hAPP_pname_com(body_1,X1) != semi(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_2459]) ).
cnf(c_0_3731,plain,
while(X1,X2) != hAPP_pname_com(body_1,X3),
inference(split_conjunct,[status(thm)],[c_0_2460]) ).
cnf(c_0_3732,plain,
hAPP_pname_com(body_1,X1) != while(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_2461]) ).
cnf(c_0_3733,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| bot_bo1055319631e_bool != hAPP_f631639356e_bool(image_275883510_state(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2462]) ).
cnf(c_0_3734,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2463]) ).
cnf(c_0_3735,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2464]) ).
cnf(c_0_3736,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2465]) ).
cnf(c_0_3737,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2466]) ).
cnf(c_0_3738,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2467]) ).
cnf(c_0_3739,plain,
( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2468]) ).
cnf(c_0_3740,plain,
( is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2469]) ).
cnf(c_0_3741,plain,
( is_bool(hAPP_f1935102916l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2470]) ).
cnf(c_0_3742,plain,
( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2471]) ).
cnf(c_0_3743,plain,
( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2472]) ).
cnf(c_0_3744,plain,
( is_pname(hAPP_f1297739591_pname(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2473]) ).
cnf(c_0_3745,plain,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2474]) ).
cnf(c_0_3746,plain,
( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2475]) ).
cnf(c_0_3747,plain,
( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2476]) ).
cnf(c_0_3748,plain,
( is_pname(hAPP_pname_pname(X1,X2))
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2477]) ).
cnf(c_0_3749,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3750,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| X1 != bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[c_0_2236]) ).
cnf(c_0_3751,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
inference(split_conjunct,[status(thm)],[c_0_2478]) ).
cnf(c_0_3752,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
inference(split_conjunct,[status(thm)],[c_0_2479]) ).
cnf(c_0_3753,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2480]) ).
cnf(c_0_3754,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2481]) ).
cnf(c_0_3755,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2482]) ).
cnf(c_0_3756,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2483]) ).
cnf(c_0_3757,plain,
( while(X1,X2) = while(X3,X4)
| X2 != X4
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2441]) ).
cnf(c_0_3758,plain,
( semi(X1,X2) = semi(X3,X4)
| X2 != X4
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_2442]) ).
cnf(c_0_3759,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2426]) ).
cnf(c_0_3760,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2484]) ).
cnf(c_0_3761,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2485]) ).
cnf(c_0_3762,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2486]) ).
cnf(c_0_3763,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2487]) ).
cnf(c_0_3764,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2488]) ).
cnf(c_0_3765,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2489]) ).
cnf(c_0_3766,plain,
( X1 = bot_bo1055319631e_bool
| bot_bo844097828e_bool != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2490]) ).
cnf(c_0_3767,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2491]) ).
cnf(c_0_3768,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
inference(split_conjunct,[status(thm)],[c_0_2492]) ).
cnf(c_0_3769,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_2443]) ).
cnf(c_0_3770,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_2444]) ).
cnf(c_0_3771,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_2445]) ).
cnf(c_0_3772,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_2446]) ).
cnf(c_0_3773,plain,
( hBOOL(hAPP_bool_bool(fNot,X1))
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2493]) ).
cnf(c_0_3774,plain,
is_bool(hAPP_f1904669497l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2494]) ).
cnf(c_0_3775,plain,
is_bool(hAPP_f389811538l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2495]) ).
cnf(c_0_3776,plain,
is_fun_pname_bool(hAPP_f280588268e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2496]) ).
cnf(c_0_3777,plain,
is_bool(hAPP_f239102607l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2497]) ).
cnf(c_0_3778,plain,
is_fun1661590463l_bool(hAPP_f748867288l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2498]) ).
cnf(c_0_3779,plain,
is_fun_pname_bool(hAPP_f1745235422e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2499]) ).
cnf(c_0_3780,plain,
is_pname(hAPP_f1008690464_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2500]) ).
cnf(c_0_3781,plain,
is_bool(hAPP_f327114704l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2501]) ).
cnf(c_0_3782,plain,
is_fun_pname_bool(hAPP_f42430548e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2502]) ).
cnf(c_0_3783,plain,
is_bool(hAPP_f990396704l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2503]) ).
cnf(c_0_3784,plain,
is_fun1661590463l_bool(hAPP_H737849090l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2504]) ).
cnf(c_0_3785,plain,
is_fun_pname_bool(hAPP_H1632039476e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2505]) ).
cnf(c_0_3786,plain,
is_bool(hAPP_H513860823e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2506]) ).
cnf(c_0_3787,plain,
is_pname(hAPP_H1344248906_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2507]) ).
cnf(c_0_3788,plain,
is_bool(hAPP_state_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2508]) ).
cnf(c_0_3789,plain,
is_bool(hAPP_com_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2509]) ).
cnf(c_0_3790,plain,
is_bool(finite959343283e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2510]) ).
cnf(c_0_3791,plain,
is_bool(finite1268145088e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2511]) ).
cnf(c_0_3792,plain,
is_bool(finite506823037_state(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2512]) ).
cnf(c_0_3793,plain,
is_bool(finite89670078_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2513]) ).
cnf(c_0_3794,plain,
is_bool(finite132673334e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2514]) ).
cnf(c_0_3795,plain,
is_bool(finite1626890877e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2515]) ).
cnf(c_0_3796,plain,
is_bool(finite774711482_state(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2516]) ).
cnf(c_0_3797,plain,
is_bool(finite1282449217_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2517]) ).
cnf(c_0_3798,plain,
( bot_bo1055319631e_bool = hAPP_f631639356e_bool(image_275883510_state(X2),X1)
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2462]) ).
cnf(c_0_3799,plain,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2463]) ).
cnf(c_0_3800,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| X1 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2280]) ).
cnf(c_0_3801,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| X1 != bot_bo1325454745l_bool ),
inference(split_conjunct,[status(thm)],[c_0_2281]) ).
cnf(c_0_3802,plain,
( hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2518]) ).
cnf(c_0_3803,plain,
( hAPP_H1344248906_pname(cOMBK_588224941_state(X1),X2) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2519]) ).
cnf(c_0_3804,plain,
( hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2520]) ).
cnf(c_0_3805,plain,
( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2521]) ).
cnf(c_0_3806,plain,
( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2522]) ).
cnf(c_0_3807,plain,
hBOOL(hAPP_com_bool(wt,skip)),
inference(split_conjunct,[status(thm)],[c_0_2523]) ).
cnf(c_0_3808,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2524]) ).
cnf(c_0_3809,plain,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_2525]) ).
cnf(c_0_3810,plain,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
inference(split_conjunct,[status(thm)],[c_0_2526]) ).
cnf(c_0_3811,plain,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
inference(split_conjunct,[status(thm)],[c_0_2527]) ).
cnf(c_0_3812,plain,
( bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,X1)
| is_fun_pname_bool(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2407]) ).
cnf(c_0_3813,plain,
( bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,X1)
| is_pname(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2408]) ).
cnf(c_0_3814,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2409]) ).
cnf(c_0_3815,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| is_pname(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2410]) ).
cnf(c_0_3816,plain,
( bot_bo844097828e_bool = hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)
| X2 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2490]) ).
cnf(c_0_3817,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
inference(split_conjunct,[status(thm)],[c_0_2491]) ).
cnf(c_0_3818,plain,
semi(X1,X2) != skip,
inference(split_conjunct,[status(thm)],[c_0_2528]) ).
cnf(c_0_3819,plain,
skip != semi(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_2529]) ).
cnf(c_0_3820,plain,
while(X1,X2) != skip,
inference(split_conjunct,[status(thm)],[c_0_2530]) ).
cnf(c_0_3821,plain,
skip != while(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_2531]) ).
cnf(c_0_3822,plain,
hAPP_p1842370726_state(cOMBK_90103121_pname(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_2532]) ).
cnf(c_0_3823,plain,
hAPP_s1806633685e_bool(cOMBK_631994958_state(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_2533]) ).
cnf(c_0_3824,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = X1
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2534]) ).
cnf(c_0_3825,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2535]) ).
cnf(c_0_3826,plain,
skip != hAPP_pname_com(body_1,X1),
inference(split_conjunct,[status(thm)],[c_0_2536]) ).
cnf(c_0_3827,plain,
hAPP_pname_com(body_1,X1) != skip,
inference(split_conjunct,[status(thm)],[c_0_2537]) ).
cnf(c_0_3828,plain,
hAPP_option_com_com(the_com,some_com(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_2538]) ).
cnf(c_0_3829,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk142_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2338]) ).
cnf(c_0_3830,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk72_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_3831,plain,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(esk73_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_3832,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk11_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2273]) ).
cnf(c_0_3833,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk9_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2274]) ).
cnf(c_0_3834,plain,
hAPP_f631639356e_bool(image_275883510_state(X1),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
inference(split_conjunct,[status(thm)],[c_0_2539]) ).
cnf(c_0_3835,plain,
hAPP_f1745235422e_bool(image_1925245338_pname(X1),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[c_0_2540]) ).
cnf(c_0_3836,plain,
( is_fun_pname_bool(set_pname(X1))
| ~ is_option_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2541]) ).
cnf(c_0_3837,plain,
( is_option_pname(some_pname(X1))
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2542]) ).
cnf(c_0_3838,plain,
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2543]) ).
cnf(c_0_3839,plain,
( is_fun_pname_bool(cOMBK_bool_pname(X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2544]) ).
cnf(c_0_3840,plain,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
inference(split_conjunct,[status(thm)],[c_0_2545]) ).
cnf(c_0_3841,plain,
bot_bo1325454745l_bool = hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)),
inference(split_conjunct,[status(thm)],[c_0_2546]) ).
cnf(c_0_3842,plain,
bot_bo1649642514l_bool = hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)),
inference(split_conjunct,[status(thm)],[c_0_2547]) ).
cnf(c_0_3843,plain,
bot_bo844097828e_bool = hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)),
inference(split_conjunct,[status(thm)],[c_0_2548]) ).
cnf(c_0_3844,plain,
( X1 = X2
| some_com(X1) != some_com(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2549]) ).
cnf(c_0_3845,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2550]) ).
cnf(c_0_3846,plain,
hAPP_f921536533e_bool(collec727977250_state,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_2551]) ).
cnf(c_0_3847,plain,
( esk97_1(X1) != X1
| ~ hBOOL(hoare_298929751gleton) ),
inference(split_conjunct,[status(thm)],[c_0_2552]) ).
cnf(c_0_3848,plain,
( some_com(X1) = some_com(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2549]) ).
cnf(c_0_3849,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2553]) ).
cnf(c_0_3850,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2554]) ).
cnf(c_0_3851,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2555]) ).
cnf(c_0_3852,plain,
is_pname(undefined_pname(pname)),
inference(split_conjunct,[status(thm)],[c_0_2556]) ).
cnf(c_0_3853,plain,
( esk98_0 != esk99_0
| ~ hBOOL(hoare_298929751gleton) ),
inference(split_conjunct,[status(thm)],[c_0_2557]) ).
cnf(c_0_3854,plain,
( hBOOL(hoare_298929751gleton)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_2557]) ).
cnf(c_0_3855,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_2558]) ).
cnf(c_0_3856,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[c_0_2559]) ).
cnf(c_0_3857,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[c_0_2560]) ).
cnf(c_0_3858,plain,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[c_0_2561]) ).
cnf(c_0_3859,plain,
is_fun_pname_bool(bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[c_0_2562]) ).
cnf(c_0_3860,plain,
is_bool(bot_bot_bool),
inference(split_conjunct,[status(thm)],[c_0_2563]) ).
cnf(c_0_3861,plain,
is_fun1661590463l_bool(finite_finite_pname),
inference(split_conjunct,[status(thm)],[c_0_2564]) ).
cnf(c_0_3862,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool))) ),
c_0_2565,
[final] ).
cnf(c_0_3863,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
c_0_2566,
[final] ).
cnf(c_0_3864,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ),
c_0_2567,
[final] ).
cnf(c_0_3865,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),esk86_4(X1,X3,X4,X2)))),X3),cOMBK_631994958_state(hAPP_s1806633685e_bool(X4,esk85_4(X1,X3,X4,X2))))),bot_bo1055319631e_bool))) ),
c_0_2568,
[final] ).
cnf(c_0_3866,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
c_0_2569,
[final] ).
cnf(c_0_3867,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X6,esk91_6(X6,X5,X1,X2,X3,X4)),esk93_6(X6,X5,X1,X2,X3,X4))) ),
c_0_2570,
[final] ).
cnf(c_0_3868,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| is_pname(esk84_7(X3,X5,X2,X6,X4,X7,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
c_0_2571,
[final] ).
cnf(c_0_3869,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk91_6(X6,X5,X1,X2,X3,X4)),esk92_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
c_0_2572,
[final] ).
cnf(c_0_3870,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),esk93_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),esk92_6(X6,X5,X1,X2,X3,X4))) ),
c_0_2573,
[final] ).
cnf(c_0_3871,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
c_0_2574,
[final] ).
cnf(c_0_3872,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
c_0_2575,
[final] ).
cnf(c_0_3873,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X2,X3)),hAPP_pname_com(body_1,X3)),hAPP_p1637813682e_bool(X4,X3))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X5))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X4)),X5))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X4)),X5))) ),
c_0_2576,
[final] ).
cnf(c_0_3874,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X3))),while(X3,X4)),X2)),bot_bo1055319631e_bool))),
c_0_2577,
[final] ).
cnf(c_0_3875,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X4),X5)),bot_bo1055319631e_bool))) ),
c_0_2578,
[final] ).
cnf(c_0_3876,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(X3) ),
c_0_2579,
[final] ).
cnf(c_0_3877,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk89_5(X5,X1,X2,X3,X4)),esk90_5(X5,X1,X2,X3,X4))) ),
c_0_2580,
[final] ).
cnf(c_0_3878,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,esk87_5(X5,X1,X2,X3,X4)),esk88_5(X5,X1,X2,X3,X4))) ),
c_0_2581,
[final] ).
cnf(c_0_3879,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,esk89_5(X5,X1,X2,X3,X4)),esk90_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
c_0_2582,
[final] ).
cnf(c_0_3880,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,esk87_5(X5,X1,X2,X3,X4)),esk88_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
c_0_2583,
[final] ).
cnf(c_0_3881,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
c_0_2584,
[final] ).
cnf(c_0_3882,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,esk148_4(X4,X1,X2,X3)))) ),
c_0_2585,
[final] ).
cnf(c_0_3883,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,esk146_4(X4,X1,X2,X3)))) ),
c_0_2586,
[final] ).
cnf(c_0_3884,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,esk152_4(X3,X4,X1,X2)))) ),
c_0_2587,
[final] ).
cnf(c_0_3885,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,esk150_4(X3,X4,X1,X2)))) ),
c_0_2588,
[final] ).
cnf(c_0_3886,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,esk116_4(X1,X4,X2,X3)),esk117_4(X1,X4,X2,X3))) ),
c_0_2589,
[final] ).
cnf(c_0_3887,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,esk112_4(X1,X4,X2,X3)),esk113_4(X1,X4,X2,X3))) ),
c_0_2590,
[final] ).
cnf(c_0_3888,plain,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,esk118_4(X3,X1,X4,X2)),esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
c_0_2591,
[final] ).
cnf(c_0_3889,plain,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,esk114_4(X3,X1,X4,X2)),esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
c_0_2592,
[final] ).
cnf(c_0_3890,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,esk124_3(X1,X2,X3)),esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
c_0_2593,
[final] ).
cnf(c_0_3891,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,esk120_3(X1,X2,X3)),esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
c_0_2594,
[final] ).
cnf(c_0_3892,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,esk126_3(X2,X3,X1)),esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
c_0_2595,
[final] ).
cnf(c_0_3893,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,esk122_3(X2,X3,X1)),esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
c_0_2596,
[final] ).
cnf(c_0_3894,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X2)),hAPP_p1842370726_state(X2,esk68_2(X2,X1))))))) ),
c_0_2597,
[final] ).
cnf(c_0_3895,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X2)),hAPP_H1645666623e_bool(X2,esk67_2(X2,X1))))))) ),
c_0_2598,
[final] ).
cnf(c_0_3896,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X2)),hAPP_H1632039476e_bool(X2,esk66_2(X2,X1))))))) ),
c_0_2599,
[final] ).
cnf(c_0_3897,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X2)),hAPP_f1008690464_pname(X2,esk65_2(X2,X1))))))) ),
c_0_2600,
[final] ).
cnf(c_0_3898,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X2)),hAPP_f1297739591_pname(X2,esk64_2(X2,X1))))))) ),
c_0_2601,
[final] ).
cnf(c_0_3899,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X2)),hAPP_H1344248906_pname(X2,esk63_2(X2,X1))))))) ),
c_0_2602,
[final] ).
cnf(c_0_3900,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X2)),hAPP_pname_pname(X2,esk62_2(X2,X1))))))) ),
c_0_2603,
[final] ).
cnf(c_0_3901,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X2)),hAPP_f2143211163_state(X2,esk61_2(X2,X1))))))) ),
c_0_2604,
[final] ).
cnf(c_0_3902,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X2)),hAPP_f1308959284_state(X2,esk60_2(X2,X1))))))) ),
c_0_2605,
[final] ).
cnf(c_0_3903,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X2)),hAPP_H563960305_state(X2,esk59_2(X2,X1))))))) ),
c_0_2606,
[final] ).
cnf(c_0_3904,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X2)),hAPP_p877885514e_bool(X2,esk58_2(X2,X1))))))) ),
c_0_2607,
[final] ).
cnf(c_0_3905,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X2)),hAPP_p61793385e_bool(X2,esk57_2(X2,X1))))))) ),
c_0_2608,
[final] ).
cnf(c_0_3906,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
c_0_2609,
[final] ).
cnf(c_0_3907,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),semi(X3,X4)),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X6),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X6)),bot_bo1055319631e_bool))) ),
c_0_2610,
[final] ).
cnf(c_0_3908,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2)))),bot_bo1055319631e_bool))) ),
c_0_2611,
[final] ).
cnf(c_0_3909,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,esk85_4(X1,X3,X4,X2)),esk86_4(X1,X3,X4,X2))) ),
c_0_2612,
[final] ).
cnf(c_0_3910,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
c_0_2613,
[final] ).
cnf(c_0_3911,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X2))) ),
c_0_2614,
[final] ).
cnf(c_0_3912,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk149_4(X4,X1,X2,X3)),esk148_4(X4,X1,X2,X3)))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
c_0_2615,
[final] ).
cnf(c_0_3913,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk147_4(X4,X1,X2,X3)),esk146_4(X4,X1,X2,X3)))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
c_0_2616,
[final] ).
cnf(c_0_3914,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk153_4(X3,X4,X1,X2)),esk152_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4 ),
c_0_2617,
[final] ).
cnf(c_0_3915,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk151_4(X3,X4,X1,X2)),esk150_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
c_0_2618,
[final] ).
cnf(c_0_3916,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk161_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
c_0_2619,
[final] ).
cnf(c_0_3917,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk160_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
c_0_2620,
[final] ).
cnf(c_0_3918,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk159_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2621,
[final] ).
cnf(c_0_3919,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk158_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2622,
[final] ).
cnf(c_0_3920,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,X1)))),hAPP_f631639356e_bool(image_275883510_state(X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1))))) = hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X1)),X2)),X3)),X4),
c_0_2623,
[final] ).
cnf(c_0_3921,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk16_2(X2,X1)))),bot_bo1055319631e_bool))) ),
c_0_2624,
[final] ).
cnf(c_0_3922,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
c_0_2625,
[final] ).
cnf(c_0_3923,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
c_0_2626,
[final] ).
cnf(c_0_3924,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),esk144_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
c_0_2627,
[final] ).
cnf(c_0_3925,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1)))) ),
c_0_2628,
[final] ).
cnf(c_0_3926,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk23_3(X3,X2,X1)),esk24_3(X3,X2,X1)))) ),
c_0_2629,
[final] ).
cnf(c_0_3927,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk21_3(X3,X2,X1)),esk22_3(X3,X2,X1)))) ),
c_0_2630,
[final] ).
cnf(c_0_3928,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk19_3(X3,X2,X1)),esk20_3(X3,X2,X1)))) ),
c_0_2631,
[final] ).
cnf(c_0_3929,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))),
c_0_2632,
[final] ).
cnf(c_0_3930,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))),
c_0_2633,
[final] ).
cnf(c_0_3931,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X4,esk161_4(X4,X3,X1,X2))) ),
c_0_2634,
[final] ).
cnf(c_0_3932,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X4,esk160_4(X4,X3,X1,X2))) ),
c_0_2635,
[final] ).
cnf(c_0_3933,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X4,esk159_4(X4,X3,X1,X2))) ),
c_0_2636,
[final] ).
cnf(c_0_3934,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X4,esk158_4(X4,X3,X1,X2))) ),
c_0_2637,
[final] ).
cnf(c_0_3935,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X1)),
c_0_2638,
[final] ).
cnf(c_0_3936,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk131_4(X3,X4,X1,X2)),X2))
| X1 != X2 ),
c_0_2639,
[final] ).
cnf(c_0_3937,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)))),
c_0_2640,
[final] ).
cnf(c_0_3938,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)))),
c_0_2641,
[final] ).
cnf(c_0_3939,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f1760790145l_bool(X3,esk161_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
c_0_2642,
[final] ).
cnf(c_0_3940,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1664156314l_bool(X3,esk160_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
c_0_2643,
[final] ).
cnf(c_0_3941,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_H513860823e_bool(X3,esk159_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2644,
[final] ).
cnf(c_0_3942,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_pname_bool(X3,esk158_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2645,
[final] ).
cnf(c_0_3943,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,esk71_3(X1,X3,X2))),X3)) ),
c_0_2646,
[final] ).
cnf(c_0_3944,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,esk70_3(X1,X3,X2))),X3)) ),
c_0_2647,
[final] ).
cnf(c_0_3945,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
c_0_2648,
[final] ).
cnf(c_0_3946,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
c_0_2649,
[final] ).
cnf(c_0_3947,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
c_0_2650,
[final] ).
cnf(c_0_3948,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
c_0_2651,
[final] ).
cnf(c_0_3949,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| X1 != X2
| hAPP_p1842370726_state(X3,esk131_4(X3,X4,X1,X2)) != hAPP_p1842370726_state(X4,esk131_4(X3,X4,X1,X2)) ),
c_0_2652,
[final] ).
cnf(c_0_3950,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
c_0_2653,
[final] ).
cnf(c_0_3951,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
c_0_2654,
[final] ).
cnf(c_0_3952,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),esk144_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
c_0_2655,
[final] ).
cnf(c_0_3953,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(collec727977250_state,X2)),
c_0_2656,
[final] ).
cnf(c_0_3954,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
c_0_2657,
[final] ).
cnf(c_0_3955,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
c_0_2658,
[final] ).
cnf(c_0_3956,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(collect_pname,X2)),
c_0_2659,
[final] ).
cnf(c_0_3957,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),skip),X2)),bot_bo1055319631e_bool))),
c_0_2660,
[final] ).
cnf(c_0_3958,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X2)),hAPP_f759274231e_bool(collect_pname,X1))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X3)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1)))) = dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X1)),X2)),X3)),
c_0_2661,
[final] ).
cnf(c_0_3959,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
c_0_2662,
[final] ).
cnf(c_0_3960,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
c_0_2663,
[final] ).
cnf(c_0_3961,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
c_0_2664,
[final] ).
cnf(c_0_3962,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
c_0_2665,
[final] ).
cnf(c_0_3963,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
c_0_2666,
[final] ).
cnf(c_0_3964,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
c_0_2667,
[final] ).
cnf(c_0_3965,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
c_0_2668,
[final] ).
cnf(c_0_3966,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
c_0_2669,
[final] ).
cnf(c_0_3967,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X2,X1)),esk108_2(X2,X1)))) ),
c_0_2670,
[final] ).
cnf(c_0_3968,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X2,X1)),esk102_2(X2,X1)))) ),
c_0_2671,
[final] ).
cnf(c_0_3969,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk110_2(X2,X1)),esk111_2(X2,X1)))) ),
c_0_2672,
[final] ).
cnf(c_0_3970,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk104_2(X2,X1)),esk105_2(X2,X1)))) ),
c_0_2673,
[final] ).
cnf(c_0_3971,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))),
c_0_2674,
[final] ).
cnf(c_0_3972,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
c_0_2675,
[final] ).
cnf(c_0_3973,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| is_fun_pname_bool(esk160_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
c_0_2676,
[final] ).
cnf(c_0_3974,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| is_pname(esk158_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2677,
[final] ).
cnf(c_0_3975,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
c_0_2678,
[final] ).
cnf(c_0_3976,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X3,X2,X1)),esk26_3(X3,X2,X1))) ),
c_0_2679,
[final] ).
cnf(c_0_3977,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X3,X2,X1)),esk24_3(X3,X2,X1))) ),
c_0_2680,
[final] ).
cnf(c_0_3978,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X3,X2,X1)),esk22_3(X3,X2,X1))) ),
c_0_2681,
[final] ).
cnf(c_0_3979,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X3,X2,X1)),esk20_3(X3,X2,X1))) ),
c_0_2682,
[final] ).
cnf(c_0_3980,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3)) ),
c_0_2683,
[final] ).
cnf(c_0_3981,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2))) ),
c_0_2684,
[final] ).
cnf(c_0_3982,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2))) ),
c_0_2685,
[final] ).
cnf(c_0_3983,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
c_0_2686,
[final] ).
cnf(c_0_3984,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
c_0_2687,
[final] ).
cnf(c_0_3985,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk77_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk78_3(X1,X3,X4))) ),
c_0_2688,
[final] ).
cnf(c_0_3986,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk77_3(X1,X3,X4))) ),
c_0_2689,
[final] ).
cnf(c_0_3987,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk78_3(X1,X3,X4))) ),
c_0_2690,
[final] ).
cnf(c_0_3988,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
c_0_2691,
[final] ).
cnf(c_0_3989,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk79_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
c_0_2692,
[final] ).
cnf(c_0_3990,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3)) ),
c_0_2693,
[final] ).
cnf(c_0_3991,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
c_0_2694,
[final] ).
cnf(c_0_3992,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
c_0_2695,
[final] ).
cnf(c_0_3993,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
c_0_2696,
[final] ).
cnf(c_0_3994,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
c_0_2697,
[final] ).
cnf(c_0_3995,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X2,X1)),esk108_2(X2,X1))) ),
c_0_2698,
[final] ).
cnf(c_0_3996,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X2,X1)),esk102_2(X2,X1))) ),
c_0_2699,
[final] ).
cnf(c_0_3997,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk110_2(X2,X1)),esk111_2(X2,X1))) ),
c_0_2700,
[final] ).
cnf(c_0_3998,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk104_2(X2,X1)),esk105_2(X2,X1))) ),
c_0_2701,
[final] ).
cnf(c_0_3999,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
c_0_2702,
[final] ).
cnf(c_0_4000,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
c_0_2703,
[final] ).
cnf(c_0_4001,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2))) ),
c_0_2704,
[final] ).
cnf(c_0_4002,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
c_0_2705,
[final] ).
cnf(c_0_4003,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2))) ),
c_0_2706,
[final] ).
cnf(c_0_4004,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
c_0_2707,
[final] ).
cnf(c_0_4005,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
c_0_2708,
[final] ).
cnf(c_0_4006,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
c_0_2709,
[final] ).
cnf(c_0_4007,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
c_0_2710,
[final] ).
cnf(c_0_4008,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,esk95_2(X1,X2))),hAPP_H513860823e_bool(X2,esk95_2(X1,X2)))) ),
c_0_2711,
[final] ).
cnf(c_0_4009,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk94_2(X1,X2))),hAPP_pname_bool(X2,esk94_2(X1,X2)))) ),
c_0_2712,
[final] ).
cnf(c_0_4010,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,esk83_2(X1,X2))),hAPP_H513860823e_bool(X2,esk83_2(X1,X2)))) ),
c_0_2713,
[final] ).
cnf(c_0_4011,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk82_2(X1,X2))),hAPP_pname_bool(X2,esk82_2(X1,X2)))) ),
c_0_2714,
[final] ).
cnf(c_0_4012,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2),
c_0_2715,
[final] ).
cnf(c_0_4013,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2),
c_0_2716,
[final] ).
cnf(c_0_4014,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2),
c_0_2717,
[final] ).
cnf(c_0_4015,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2),
c_0_2718,
[final] ).
cnf(c_0_4016,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
c_0_2719,
[final] ).
cnf(c_0_4017,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2),
c_0_2720,
[final] ).
cnf(c_0_4018,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2),
c_0_2721,
[final] ).
cnf(c_0_4019,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2),
c_0_2722,
[final] ).
cnf(c_0_4020,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_2723,
[final] ).
cnf(c_0_4021,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
c_0_2724,
[final] ).
cnf(c_0_4022,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
c_0_2725,
[final] ).
cnf(c_0_4023,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_2726,
[final] ).
cnf(c_0_4024,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_2727,
[final] ).
cnf(c_0_4025,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
c_0_2728,
[final] ).
cnf(c_0_4026,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
c_0_2729,
[final] ).
cnf(c_0_4027,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_2730,
[final] ).
cnf(c_0_4028,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk79_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
c_0_2731,
[final] ).
cnf(c_0_4029,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk47_2(X2,X1)),esk48_2(X2,X1)))) ),
c_0_2732,
[final] ).
cnf(c_0_4030,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk45_2(X2,X1)),esk46_2(X2,X1)))) ),
c_0_2733,
[final] ).
cnf(c_0_4031,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk43_2(X2,X1)),esk44_2(X2,X1)))) ),
c_0_2734,
[final] ).
cnf(c_0_4032,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk41_2(X2,X1)),esk42_2(X2,X1)))) ),
c_0_2735,
[final] ).
cnf(c_0_4033,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk107_2(X2,X1)),esk108_2(X2,X1)))) ),
c_0_2736,
[final] ).
cnf(c_0_4034,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk101_2(X2,X1)),esk102_2(X2,X1)))) ),
c_0_2737,
[final] ).
cnf(c_0_4035,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk166_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),esk167_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk165_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk166_0),esk167_0)) ),
c_0_2738,
[final] ).
cnf(c_0_4036,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk163_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),esk164_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,esk162_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,esk163_0),esk164_0)) ),
c_0_2739,
[final] ).
cnf(c_0_4037,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
c_0_2740,
[final] ).
cnf(c_0_4038,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
c_0_2741,
[final] ).
cnf(c_0_4039,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
c_0_2742,
[final] ).
cnf(c_0_4040,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
c_0_2743,
[final] ).
cnf(c_0_4041,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
c_0_2744,
[final] ).
cnf(c_0_4042,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
c_0_2745,
[final] ).
cnf(c_0_4043,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(esk146_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
c_0_2746,
[final] ).
cnf(c_0_4044,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(esk147_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
c_0_2747,
[final] ).
cnf(c_0_4045,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
c_0_2748,
[final] ).
cnf(c_0_4046,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
c_0_2749,
[final] ).
cnf(c_0_4047,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
c_0_2750,
[final] ).
cnf(c_0_4048,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
c_0_2751,
[final] ).
cnf(c_0_4049,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3)
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
c_0_2752,
[final] ).
cnf(c_0_4050,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3)
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
c_0_2753,
[final] ).
cnf(c_0_4051,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) ),
c_0_2754,
[final] ).
cnf(c_0_4052,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) ),
c_0_2755,
[final] ).
cnf(c_0_4053,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X1,X3,X4)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_2756,
[final] ).
cnf(c_0_4054,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk81_3(X1,X4,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X4),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_2757,
[final] ).
cnf(c_0_4055,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
c_0_2758,
[final] ).
cnf(c_0_4056,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
c_0_2759,
[final] ).
cnf(c_0_4057,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk39_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
c_0_2760,
[final] ).
cnf(c_0_4058,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk37_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
c_0_2761,
[final] ).
cnf(c_0_4059,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk36_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_2762,
[final] ).
cnf(c_0_4060,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk34_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
c_0_2763,
[final] ).
cnf(c_0_4061,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk33_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
c_0_2764,
[final] ).
cnf(c_0_4062,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk32_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
c_0_2765,
[final] ).
cnf(c_0_4063,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk40_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2766,
[final] ).
cnf(c_0_4064,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk38_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
c_0_2767,
[final] ).
cnf(c_0_4065,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk35_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
c_0_2768,
[final] ).
cnf(c_0_4066,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,esk31_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
c_0_2769,
[final] ).
cnf(c_0_4067,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk30_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
c_0_2770,
[final] ).
cnf(c_0_4068,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
c_0_2771,
[final] ).
cnf(c_0_4069,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
c_0_2772,
[final] ).
cnf(c_0_4070,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(esk150_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
c_0_2773,
[final] ).
cnf(c_0_4071,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(esk151_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
c_0_2774,
[final] ).
cnf(c_0_4072,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
c_0_2775,
[final] ).
cnf(c_0_4073,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
c_0_2776,
[final] ).
cnf(c_0_4074,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
c_0_2777,
[final] ).
cnf(c_0_4075,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
c_0_2778,
[final] ).
cnf(c_0_4076,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
c_0_2779,
[final] ).
cnf(c_0_4077,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
c_0_2780,
[final] ).
cnf(c_0_4078,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
c_0_2781,
[final] ).
cnf(c_0_4079,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
c_0_2782,
[final] ).
cnf(c_0_4080,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
c_0_2783,
[final] ).
cnf(c_0_4081,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
c_0_2784,
[final] ).
cnf(c_0_4082,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk17_3(X1,X2,X3)),X3))
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_2785,
[final] ).
cnf(c_0_4083,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,esk14_3(X1,X2,X3)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_2786,
[final] ).
cnf(c_0_4084,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
c_0_2787,
[final] ).
cnf(c_0_4085,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
c_0_2788,
[final] ).
cnf(c_0_4086,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2789,
[final] ).
cnf(c_0_4087,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2790,
[final] ).
cnf(c_0_4088,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2791,
[final] ).
cnf(c_0_4089,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2792,
[final] ).
cnf(c_0_4090,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2793,
[final] ).
cnf(c_0_4091,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2794,
[final] ).
cnf(c_0_4092,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2795,
[final] ).
cnf(c_0_4093,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2796,
[final] ).
cnf(c_0_4094,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
c_0_2797,
[final] ).
cnf(c_0_4095,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
c_0_2798,
[final] ).
cnf(c_0_4096,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk18_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2799,
[final] ).
cnf(c_0_4097,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk15_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2800,
[final] ).
cnf(c_0_4098,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk13_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2801,
[final] ).
cnf(c_0_4099,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk25_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
c_0_2802,
[final] ).
cnf(c_0_4100,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
c_0_2803,
[final] ).
cnf(c_0_4101,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk21_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
c_0_2804,
[final] ).
cnf(c_0_4102,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk19_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
c_0_2805,
[final] ).
cnf(c_0_4103,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk71_3(X1,X3,X2)),X2)) ),
c_0_2806,
[final] ).
cnf(c_0_4104,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk70_3(X1,X3,X2)),X2)) ),
c_0_2807,
[final] ).
cnf(c_0_4105,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
c_0_2808,
[final] ).
cnf(c_0_4106,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
c_0_2809,
[final] ).
cnf(c_0_4107,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
c_0_2810,
[final] ).
cnf(c_0_4108,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
c_0_2811,
[final] ).
cnf(c_0_4109,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| esk108_2(X2,X1) != bot_bo1649642514l_bool ),
c_0_2812,
[final] ).
cnf(c_0_4110,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk100_2(X2,X1)),bot_bo844097828e_bool)))
| esk102_2(X2,X1) != bot_bo844097828e_bool ),
c_0_2813,
[final] ).
cnf(c_0_4111,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| is_pname(esk116_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_2814,
[final] ).
cnf(c_0_4112,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| is_pname(esk117_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_2815,
[final] ).
cnf(c_0_4113,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk112_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_2816,
[final] ).
cnf(c_0_4114,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk113_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_2817,
[final] ).
cnf(c_0_4115,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| esk111_2(X2,X1) != bot_bo1325454745l_bool ),
c_0_2818,
[final] ).
cnf(c_0_4116,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| esk105_2(X2,X1) != bot_bo1055319631e_bool ),
c_0_2819,
[final] ).
cnf(c_0_4117,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),X5)) ),
c_0_2820,
[final] ).
cnf(c_0_4118,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
c_0_2821,
[final] ).
cnf(c_0_4119,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
c_0_2822,
[final] ).
cnf(c_0_4120,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
c_0_2823,
[final] ).
cnf(c_0_4121,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
c_0_2824,
[final] ).
cnf(c_0_4122,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
c_0_2825,
[final] ).
cnf(c_0_4123,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
c_0_2826,
[final] ).
cnf(c_0_4124,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
c_0_2827,
[final] ).
cnf(c_0_4125,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
c_0_2828,
[final] ).
cnf(c_0_4126,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
c_0_2829,
[final] ).
cnf(c_0_4127,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
c_0_2830,
[final] ).
cnf(c_0_4128,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
c_0_2831,
[final] ).
cnf(c_0_4129,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
c_0_2832,
[final] ).
cnf(c_0_4130,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
c_0_2833,
[final] ).
cnf(c_0_4131,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
c_0_2834,
[final] ).
cnf(c_0_4132,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2835,
[final] ).
cnf(c_0_4133,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2836,
[final] ).
cnf(c_0_4134,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2837,
[final] ).
cnf(c_0_4135,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2838,
[final] ).
cnf(c_0_4136,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2839,
[final] ).
cnf(c_0_4137,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2840,
[final] ).
cnf(c_0_4138,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2841,
[final] ).
cnf(c_0_4139,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2842,
[final] ).
cnf(c_0_4140,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_2843,
[final] ).
cnf(c_0_4141,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_2844,
[final] ).
cnf(c_0_4142,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_2(X2,X1)),dom_pname_com(body)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
c_0_2845,
[final] ).
cnf(c_0_4143,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2846,
[final] ).
cnf(c_0_4144,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2847,
[final] ).
cnf(c_0_4145,plain,
( hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
c_0_2848,
[final] ).
cnf(c_0_4146,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
c_0_2849,
[final] ).
cnf(c_0_4147,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
c_0_2850,
[final] ).
cnf(c_0_4148,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
c_0_2851,
[final] ).
cnf(c_0_4149,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
c_0_2852,
[final] ).
cnf(c_0_4150,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)),
c_0_2853,
[final] ).
cnf(c_0_4151,plain,
( hBOOL(hAPP_com_bool(X1,X2))
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,esk96_3(X2,X1,X3)),set_com(X3)))
| X3 != some_com(X2) ),
c_0_2854,
[final] ).
cnf(c_0_4152,plain,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| is_pname(esk131_4(X3,X4,X1,X2))
| X1 != X2 ),
c_0_2855,
[final] ).
cnf(c_0_4153,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
c_0_2856,
[final] ).
cnf(c_0_4154,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
c_0_2857,
[final] ).
cnf(c_0_4155,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
c_0_2858,
[final] ).
cnf(c_0_4156,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
c_0_2859,
[final] ).
cnf(c_0_4157,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
c_0_2860,
[final] ).
cnf(c_0_4158,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk39_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
c_0_2861,
[final] ).
cnf(c_0_4159,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk37_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
c_0_2862,
[final] ).
cnf(c_0_4160,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk36_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_2863,
[final] ).
cnf(c_0_4161,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk34_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
c_0_2864,
[final] ).
cnf(c_0_4162,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk33_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
c_0_2865,
[final] ).
cnf(c_0_4163,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk32_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
c_0_2866,
[final] ).
cnf(c_0_4164,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),X1) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)) ),
c_0_2867,
[final] ).
cnf(c_0_4165,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),X1) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X1)) ),
c_0_2868,
[final] ).
cnf(c_0_4166,plain,
( X4 = X3
| hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
c_0_2869,
[final] ).
cnf(c_0_4167,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk40_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2870,
[final] ).
cnf(c_0_4168,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk38_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
c_0_2871,
[final] ).
cnf(c_0_4169,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk35_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
c_0_2872,
[final] ).
cnf(c_0_4170,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk31_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
c_0_2873,
[final] ).
cnf(c_0_4171,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
c_0_2874,
[final] ).
cnf(c_0_4172,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
c_0_2875,
[final] ).
cnf(c_0_4173,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
c_0_2876,
[final] ).
cnf(c_0_4174,plain,
( hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
c_0_2877,
[final] ).
cnf(c_0_4175,plain,
( hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
c_0_2878,
[final] ).
cnf(c_0_4176,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
c_0_2879,
[final] ).
cnf(c_0_4177,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
c_0_2880,
[final] ).
cnf(c_0_4178,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
c_0_2881,
[final] ).
cnf(c_0_4179,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
c_0_2882,
[final] ).
cnf(c_0_4180,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
c_0_2883,
[final] ).
cnf(c_0_4181,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
c_0_2884,
[final] ).
cnf(c_0_4182,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3))) ),
c_0_2885,
[final] ).
cnf(c_0_4183,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
c_0_2886,
[final] ).
cnf(c_0_4184,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
c_0_2887,
[final] ).
cnf(c_0_4185,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
c_0_2888,
[final] ).
cnf(c_0_4186,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_2889,
[final] ).
cnf(c_0_4187,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_2890,
[final] ).
cnf(c_0_4188,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk47_2(X2,X1)),esk48_2(X2,X1))) ),
c_0_2891,
[final] ).
cnf(c_0_4189,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk45_2(X2,X1)),esk46_2(X2,X1))) ),
c_0_2892,
[final] ).
cnf(c_0_4190,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk43_2(X2,X1)),esk44_2(X2,X1))) ),
c_0_2893,
[final] ).
cnf(c_0_4191,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk41_2(X2,X1)),esk42_2(X2,X1))) ),
c_0_2894,
[final] ).
cnf(c_0_4192,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
c_0_2895,
[final] ).
cnf(c_0_4193,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
c_0_2896,
[final] ).
cnf(c_0_4194,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(X3,esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
c_0_2897,
[final] ).
cnf(c_0_4195,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
c_0_2898,
[final] ).
cnf(c_0_4196,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2)) ),
c_0_2899,
[final] ).
cnf(c_0_4197,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
c_0_2900,
[final] ).
cnf(c_0_4198,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_2901,
[final] ).
cnf(c_0_4199,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| ~ hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_2902,
[final] ).
cnf(c_0_4200,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
c_0_2903,
[final] ).
cnf(c_0_4201,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
c_0_2904,
[final] ).
cnf(c_0_4202,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
c_0_2905,
[final] ).
cnf(c_0_4203,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
c_0_2906,
[final] ).
cnf(c_0_4204,plain,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
c_0_2907,
[final] ).
cnf(c_0_4205,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
c_0_2908,
[final] ).
cnf(c_0_4206,plain,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
c_0_2909,
[final] ).
cnf(c_0_4207,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
c_0_2910,
[final] ).
cnf(c_0_4208,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk107_2(X2,X1)),esk108_2(X2,X1))) ),
c_0_2911,
[final] ).
cnf(c_0_4209,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_2(X2,X1)),esk102_2(X2,X1))) ),
c_0_2912,
[final] ).
cnf(c_0_4210,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
c_0_2913,
[final] ).
cnf(c_0_4211,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_2914,
[final] ).
cnf(c_0_4212,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_2915,
[final] ).
cnf(c_0_4213,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2916,
[final] ).
cnf(c_0_4214,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2917,
[final] ).
cnf(c_0_4215,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2918,
[final] ).
cnf(c_0_4216,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2919,
[final] ).
cnf(c_0_4217,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2920,
[final] ).
cnf(c_0_4218,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2921,
[final] ).
cnf(c_0_4219,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_2922,
[final] ).
cnf(c_0_4220,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_2923,
[final] ).
cnf(c_0_4221,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_2924,
[final] ).
cnf(c_0_4222,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_2925,
[final] ).
cnf(c_0_4223,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_2926,
[final] ).
cnf(c_0_4224,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_2927,
[final] ).
cnf(c_0_4225,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| is_pname(esk16_2(X2,X1))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
c_0_2928,
[final] ).
cnf(c_0_4226,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
c_0_2929,
[final] ).
cnf(c_0_4227,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| ~ is_pname(X3)
| ~ is_pname(X1) ),
c_0_2930,
[final] ).
cnf(c_0_4228,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3),
c_0_2931,
[final] ).
cnf(c_0_4229,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3),
c_0_2932,
[final] ).
cnf(c_0_4230,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3),
c_0_2933,
[final] ).
cnf(c_0_4231,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3),
c_0_2934,
[final] ).
cnf(c_0_4232,plain,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
c_0_2935,
[final] ).
cnf(c_0_4233,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
c_0_2936,
[final] ).
cnf(c_0_4234,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
c_0_2937,
[final] ).
cnf(c_0_4235,plain,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
c_0_2938,
[final] ).
cnf(c_0_4236,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
c_0_2939,
[final] ).
cnf(c_0_4237,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
c_0_2940,
[final] ).
cnf(c_0_4238,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
c_0_2941,
[final] ).
cnf(c_0_4239,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
c_0_2942,
[final] ).
cnf(c_0_4240,plain,
( hBOOL(hAPP_com_bool(X1,X2))
| X3 != some_com(X2)
| ~ hBOOL(hAPP_com_bool(X1,esk96_3(X2,X1,X3))) ),
c_0_2943,
[final] ).
cnf(c_0_4241,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3))) ),
c_0_2944,
[final] ).
cnf(c_0_4242,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3))) ),
c_0_2945,
[final] ).
cnf(c_0_4243,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2946,
[final] ).
cnf(c_0_4244,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2947,
[final] ).
cnf(c_0_4245,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2948,
[final] ).
cnf(c_0_4246,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2949,
[final] ).
cnf(c_0_4247,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2950,
[final] ).
cnf(c_0_4248,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2951,
[final] ).
cnf(c_0_4249,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2952,
[final] ).
cnf(c_0_4250,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2953,
[final] ).
cnf(c_0_4251,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X2))) ),
c_0_2954,
[final] ).
cnf(c_0_4252,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X2))) ),
c_0_2955,
[final] ).
cnf(c_0_4253,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2956,
[final] ).
cnf(c_0_4254,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2957,
[final] ).
cnf(c_0_4255,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2958,
[final] ).
cnf(c_0_4256,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2959,
[final] ).
cnf(c_0_4257,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2960,
[final] ).
cnf(c_0_4258,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2961,
[final] ).
cnf(c_0_4259,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2962,
[final] ).
cnf(c_0_4260,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
c_0_2963,
[final] ).
cnf(c_0_4261,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2964,
[final] ).
cnf(c_0_4262,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
c_0_2965,
[final] ).
cnf(c_0_4263,plain,
( hAPP_f759274231e_bool(image_pname_pname(X2),esk39_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
c_0_2966,
[final] ).
cnf(c_0_4264,plain,
( hAPP_f434788991l_bool(image_47868345e_bool(X2),esk37_3(X2,X3,X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
c_0_2967,
[final] ).
cnf(c_0_4265,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),esk36_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_2968,
[final] ).
cnf(c_0_4266,plain,
( hAPP_f748867288l_bool(image_1259634916e_bool(X2),esk34_3(X2,X3,X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
c_0_2969,
[final] ).
cnf(c_0_4267,plain,
( hAPP_f280588268e_bool(image_636285904_pname(X2),esk33_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
c_0_2970,
[final] ).
cnf(c_0_4268,plain,
( hAPP_f674760225e_bool(image_1283814551_pname(X2),esk32_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
c_0_2971,
[final] ).
cnf(c_0_4269,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_2972,
[final] ).
cnf(c_0_4270,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_2973,
[final] ).
cnf(c_0_4271,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
c_0_2974,
[final] ).
cnf(c_0_4272,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
c_0_2975,
[final] ).
cnf(c_0_4273,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
c_0_2976,
[final] ).
cnf(c_0_4274,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
c_0_2977,
[final] ).
cnf(c_0_4275,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk81_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_2978,
[final] ).
cnf(c_0_4276,plain,
( hBOOL(hAPP_H513860823e_bool(X1,esk81_3(X1,X4,X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_2979,
[final] ).
cnf(c_0_4277,plain,
( hAPP_f631639356e_bool(image_275883510_state(X2),esk40_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2980,
[final] ).
cnf(c_0_4278,plain,
( hAPP_f1874607724l_bool(image_505480954e_bool(X2),esk38_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
c_0_2981,
[final] ).
cnf(c_0_4279,plain,
( hAPP_f854625363l_bool(image_277167759e_bool(X2),esk35_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
c_0_2982,
[final] ).
cnf(c_0_4280,plain,
( hAPP_f772567431e_bool(image_774712299_state(X2),esk31_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
c_0_2983,
[final] ).
cnf(c_0_4281,plain,
( hAPP_f780887186e_bool(image_936554724_state(X2),esk30_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
c_0_2984,
[final] ).
cnf(c_0_4282,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
c_0_2985,
[final] ).
cnf(c_0_4283,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
c_0_2986,
[final] ).
cnf(c_0_4284,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
c_0_2987,
[final] ).
cnf(c_0_4285,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_2988,
[final] ).
cnf(c_0_4286,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_2989,
[final] ).
cnf(c_0_4287,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_2990,
[final] ).
cnf(c_0_4288,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_2991,
[final] ).
cnf(c_0_4289,plain,
( is_fun_pname_bool(esk39_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
c_0_2992,
[final] ).
cnf(c_0_4290,plain,
( is_fun_pname_bool(esk37_3(X2,X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
c_0_2993,
[final] ).
cnf(c_0_4291,plain,
( is_fun1661590463l_bool(esk32_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
c_0_2994,
[final] ).
cnf(c_0_4292,plain,
( hAPP_f674760225e_bool(X3,X4) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
c_0_2995,
[final] ).
cnf(c_0_4293,plain,
( hAPP_f1297739591_pname(X3,X4) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
c_0_2996,
[final] ).
cnf(c_0_4294,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
c_0_2997,
[final] ).
cnf(c_0_4295,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
c_0_2998,
[final] ).
cnf(c_0_4296,plain,
( is_fun_pname_bool(esk40_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_2999,
[final] ).
cnf(c_0_4297,plain,
( is_fun_pname_bool(esk38_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
c_0_3000,
[final] ).
cnf(c_0_4298,plain,
( is_fun1661590463l_bool(esk30_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
c_0_3001,
[final] ).
cnf(c_0_4299,plain,
( hAPP_f772567431e_bool(X2,X3) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
c_0_3002,
[final] ).
cnf(c_0_4300,plain,
( hAPP_f2143211163_state(X2,X3) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
c_0_3003,
[final] ).
cnf(c_0_4301,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(esk124_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3004,
[final] ).
cnf(c_0_4302,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(esk125_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3005,
[final] ).
cnf(c_0_4303,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(esk120_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3006,
[final] ).
cnf(c_0_4304,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(esk121_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3007,
[final] ).
cnf(c_0_4305,plain,
hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
c_0_3008,
[final] ).
cnf(c_0_4306,plain,
hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
c_0_3009,
[final] ).
cnf(c_0_4307,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_3010,
[final] ).
cnf(c_0_4308,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_3011,
[final] ).
cnf(c_0_4309,plain,
( X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1) ),
c_0_3012,
[final] ).
cnf(c_0_4310,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3013,
[final] ).
cnf(c_0_4311,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3014,
[final] ).
cnf(c_0_4312,plain,
( hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X1))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3015,
[final] ).
cnf(c_0_4313,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3016,
[final] ).
cnf(c_0_4314,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
c_0_3017,
[final] ).
cnf(c_0_4315,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_3018,
[final] ).
cnf(c_0_4316,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),esk14_3(X1,X2,X3)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_3019,
[final] ).
cnf(c_0_4317,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3020,
[final] ).
cnf(c_0_4318,plain,
( X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
c_0_3021,
[final] ).
cnf(c_0_4319,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk68_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
c_0_3022,
[final] ).
cnf(c_0_4320,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk67_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1))) ),
c_0_3023,
[final] ).
cnf(c_0_4321,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk66_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1))) ),
c_0_3024,
[final] ).
cnf(c_0_4322,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk65_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1))) ),
c_0_3025,
[final] ).
cnf(c_0_4323,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk64_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
c_0_3026,
[final] ).
cnf(c_0_4324,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk63_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1))) ),
c_0_3027,
[final] ).
cnf(c_0_4325,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk62_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
c_0_3028,
[final] ).
cnf(c_0_4326,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,esk61_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1))) ),
c_0_3029,
[final] ).
cnf(c_0_4327,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk60_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
c_0_3030,
[final] ).
cnf(c_0_4328,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk59_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1))) ),
c_0_3031,
[final] ).
cnf(c_0_4329,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk58_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
c_0_3032,
[final] ).
cnf(c_0_4330,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
c_0_3033,
[final] ).
cnf(c_0_4331,plain,
( hAPP_H1344248906_pname(X2,esk17_3(X1,X2,X3)) = X1
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
c_0_3034,
[final] ).
cnf(c_0_4332,plain,
( hAPP_f631639356e_bool(image_275883510_state(X2),esk15_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3035,
[final] ).
cnf(c_0_4333,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3036,
[final] ).
cnf(c_0_4334,plain,
( X4 = X2
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
c_0_3037,
[final] ).
cnf(c_0_4335,plain,
( X4 = X2
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
c_0_3038,
[final] ).
cnf(c_0_4336,plain,
( X3 = X1
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
c_0_3039,
[final] ).
cnf(c_0_4337,plain,
( X3 = X1
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
c_0_3040,
[final] ).
cnf(c_0_4338,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
c_0_3041,
[final] ).
cnf(c_0_4339,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
c_0_3042,
[final] ).
cnf(c_0_4340,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
c_0_3043,
[final] ).
cnf(c_0_4341,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
c_0_3044,
[final] ).
cnf(c_0_4342,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
c_0_3045,
[final] ).
cnf(c_0_4343,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
c_0_3046,
[final] ).
cnf(c_0_4344,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
c_0_3047,
[final] ).
cnf(c_0_4345,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
c_0_3048,
[final] ).
cnf(c_0_4346,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
c_0_3049,
[final] ).
cnf(c_0_4347,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
c_0_3050,
[final] ).
cnf(c_0_4348,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
c_0_3051,
[final] ).
cnf(c_0_4349,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
c_0_3052,
[final] ).
cnf(c_0_4350,plain,
( hAPP_p1842370726_state(X2,esk18_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3053,
[final] ).
cnf(c_0_4351,plain,
( hAPP_p1842370726_state(X2,esk13_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3054,
[final] ).
cnf(c_0_4352,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
c_0_3055,
[final] ).
cnf(c_0_4353,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3056,
[final] ).
cnf(c_0_4354,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
c_0_3057,
[final] ).
cnf(c_0_4355,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),
c_0_3058,
[final] ).
cnf(c_0_4356,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3059,
[final] ).
cnf(c_0_4357,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
c_0_3060,
[final] ).
cnf(c_0_4358,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X2,X1)),X2)) ),
c_0_3061,
[final] ).
cnf(c_0_4359,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X2,X1)),X2)) ),
c_0_3062,
[final] ).
cnf(c_0_4360,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3063,
[final] ).
cnf(c_0_4361,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
c_0_3064,
[final] ).
cnf(c_0_4362,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
c_0_3065,
[final] ).
cnf(c_0_4363,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
c_0_3066,
[final] ).
cnf(c_0_4364,plain,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
c_0_3067,
[final] ).
cnf(c_0_4365,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
c_0_3068,
[final] ).
cnf(c_0_4366,plain,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
c_0_3069,
[final] ).
cnf(c_0_4367,plain,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
c_0_3070,
[final] ).
cnf(c_0_4368,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3071,
[final] ).
cnf(c_0_4369,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3072,
[final] ).
cnf(c_0_4370,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3073,
[final] ).
cnf(c_0_4371,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3074,
[final] ).
cnf(c_0_4372,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3075,
[final] ).
cnf(c_0_4373,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
c_0_3076,
[final] ).
cnf(c_0_4374,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
c_0_3077,
[final] ).
cnf(c_0_4375,plain,
( is_pname(esk18_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3078,
[final] ).
cnf(c_0_4376,plain,
( is_fun_pname_bool(esk15_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3079,
[final] ).
cnf(c_0_4377,plain,
( is_pname(esk13_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
c_0_3080,
[final] ).
cnf(c_0_4378,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_pname(esk23_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
c_0_3081,
[final] ).
cnf(c_0_4379,plain,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_fun_pname_bool(esk24_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
c_0_3082,
[final] ).
cnf(c_0_4380,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun_pname_bool(esk19_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
c_0_3083,
[final] ).
cnf(c_0_4381,plain,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun1661590463l_bool(esk20_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
c_0_3084,
[final] ).
cnf(c_0_4382,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X3))
| hBOOL(hAPP_state_bool(X1,X3)) ),
c_0_3085,
[final] ).
cnf(c_0_4383,plain,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
c_0_3086,
[final] ).
cnf(c_0_4384,plain,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
c_0_3087,
[final] ).
cnf(c_0_4385,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X2)) ),
c_0_3088,
[final] ).
cnf(c_0_4386,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
c_0_3089,
[final] ).
cnf(c_0_4387,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,esk135_2(X2,X1))) ),
c_0_3090,
[final] ).
cnf(c_0_4388,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,esk134_2(X2,X1))) ),
c_0_3091,
[final] ).
cnf(c_0_4389,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_pname_bool(X2,esk133_2(X2,X1))) ),
c_0_3092,
[final] ).
cnf(c_0_4390,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(X2,esk132_2(X2,X1))) ),
c_0_3093,
[final] ).
cnf(c_0_4391,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
c_0_3094,
[final] ).
cnf(c_0_4392,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
c_0_3095,
[final] ).
cnf(c_0_4393,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| is_pname(esk71_3(X1,X3,X2)) ),
c_0_3096,
[final] ).
cnf(c_0_4394,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3097,
[final] ).
cnf(c_0_4395,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_3098,
[final] ).
cnf(c_0_4396,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3099,
[final] ).
cnf(c_0_4397,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3100,
[final] ).
cnf(c_0_4398,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3101,
[final] ).
cnf(c_0_4399,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3102,
[final] ).
cnf(c_0_4400,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_3103,
[final] ).
cnf(c_0_4401,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3104,
[final] ).
cnf(c_0_4402,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3105,
[final] ).
cnf(c_0_4403,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_3106,
[final] ).
cnf(c_0_4404,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3107,
[final] ).
cnf(c_0_4405,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3108,
[final] ).
cnf(c_0_4406,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3109,
[final] ).
cnf(c_0_4407,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3110,
[final] ).
cnf(c_0_4408,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3111,
[final] ).
cnf(c_0_4409,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
c_0_3112,
[final] ).
cnf(c_0_4410,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3113,
[final] ).
cnf(c_0_4411,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3114,
[final] ).
cnf(c_0_4412,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3115,
[final] ).
cnf(c_0_4413,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3116,
[final] ).
cnf(c_0_4414,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3117,
[final] ).
cnf(c_0_4415,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3118,
[final] ).
cnf(c_0_4416,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3119,
[final] ).
cnf(c_0_4417,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X1))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X2)) ),
c_0_3120,
[final] ).
cnf(c_0_4418,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
c_0_3121,
[final] ).
cnf(c_0_4419,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
c_0_3122,
[final] ).
cnf(c_0_4420,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3123,
[final] ).
cnf(c_0_4421,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3124,
[final] ).
cnf(c_0_4422,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3125,
[final] ).
cnf(c_0_4423,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3126,
[final] ).
cnf(c_0_4424,plain,
( X1 = X3
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
c_0_3127,
[final] ).
cnf(c_0_4425,plain,
( X1 = X3
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
c_0_3128,
[final] ).
cnf(c_0_4426,plain,
( X2 = X4
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
c_0_3129,
[final] ).
cnf(c_0_4427,plain,
( X2 = X4
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
c_0_3130,
[final] ).
cnf(c_0_4428,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
c_0_3131,
[final] ).
cnf(c_0_4429,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1),X2)) ),
c_0_3132,
[final] ).
cnf(c_0_4430,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3133,
[final] ).
cnf(c_0_4431,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),esk140_2(X2,X1))) ),
c_0_3134,
[final] ).
cnf(c_0_4432,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),esk138_2(X2,X1))) ),
c_0_3135,
[final] ).
cnf(c_0_4433,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
c_0_3136,
[final] ).
cnf(c_0_4434,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
c_0_3137,
[final] ).
cnf(c_0_4435,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3138,
[final] ).
cnf(c_0_4436,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),esk141_2(X1,X2))) ),
c_0_3139,
[final] ).
cnf(c_0_4437,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),esk139_2(X1,X2))) ),
c_0_3140,
[final] ).
cnf(c_0_4438,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
c_0_3141,
[final] ).
cnf(c_0_4439,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
c_0_3142,
[final] ).
cnf(c_0_4440,plain,
( hBOOL(hAPP_pname_bool(X3,X1))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
c_0_3143,
[final] ).
cnf(c_0_4441,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
c_0_3144,
[final] ).
cnf(c_0_4442,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
c_0_3145,
[final] ).
cnf(c_0_4443,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
c_0_3146,
[final] ).
cnf(c_0_4444,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
c_0_3147,
[final] ).
cnf(c_0_4445,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
c_0_3148,
[final] ).
cnf(c_0_4446,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
c_0_3149,
[final] ).
cnf(c_0_4447,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
c_0_3150,
[final] ).
cnf(c_0_4448,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
c_0_3151,
[final] ).
cnf(c_0_4449,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
c_0_3152,
[final] ).
cnf(c_0_4450,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3153,
[final] ).
cnf(c_0_4451,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3154,
[final] ).
cnf(c_0_4452,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
c_0_3155,
[final] ).
cnf(c_0_4453,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
c_0_3156,
[final] ).
cnf(c_0_4454,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
c_0_3157,
[final] ).
cnf(c_0_4455,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
c_0_3158,
[final] ).
cnf(c_0_4456,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3159,
[final] ).
cnf(c_0_4457,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3160,
[final] ).
cnf(c_0_4458,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
c_0_3161,
[final] ).
cnf(c_0_4459,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
c_0_3162,
[final] ).
cnf(c_0_4460,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3163,
[final] ).
cnf(c_0_4461,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3164,
[final] ).
cnf(c_0_4462,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
c_0_3165,
[final] ).
cnf(c_0_4463,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
c_0_3166,
[final] ).
cnf(c_0_4464,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ is_fun_pname_bool(X4) ),
c_0_3167,
[final] ).
cnf(c_0_4465,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_fun_pname_bool(X1)
| X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
c_0_3168,
[final] ).
cnf(c_0_4466,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
c_0_3169,
[final] ).
cnf(c_0_4467,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
c_0_3170,
[final] ).
cnf(c_0_4468,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
c_0_3171,
[final] ).
cnf(c_0_4469,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
c_0_3172,
[final] ).
cnf(c_0_4470,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
c_0_3173,
[final] ).
cnf(c_0_4471,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
c_0_3174,
[final] ).
cnf(c_0_4472,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
c_0_3175,
[final] ).
cnf(c_0_4473,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
c_0_3176,
[final] ).
cnf(c_0_4474,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
c_0_3177,
[final] ).
cnf(c_0_4475,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
c_0_3178,
[final] ).
cnf(c_0_4476,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
c_0_3179,
[final] ).
cnf(c_0_4477,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X1),X2)) ),
c_0_3180,
[final] ).
cnf(c_0_4478,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| ~ is_pname(X4) ),
c_0_3181,
[final] ).
cnf(c_0_4479,plain,
( X1 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool ),
c_0_3182,
[final] ).
cnf(c_0_4480,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
c_0_3183,
[final] ).
cnf(c_0_4481,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| X1 != hAPP_H1344248906_pname(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
c_0_3184,
[final] ).
cnf(c_0_4482,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4) ),
c_0_3185,
[final] ).
cnf(c_0_4483,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| X1 != hAPP_H1344248906_pname(X2,X4) ),
c_0_3186,
[final] ).
cnf(c_0_4484,plain,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f1760790145l_bool(X1,esk135_2(X2,X1))) ),
c_0_3187,
[final] ).
cnf(c_0_4485,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1664156314l_bool(X1,esk134_2(X2,X1))) ),
c_0_3188,
[final] ).
cnf(c_0_4486,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_pname_bool(X1,esk133_2(X2,X1))) ),
c_0_3189,
[final] ).
cnf(c_0_4487,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_H513860823e_bool(X1,esk132_2(X2,X1))) ),
c_0_3190,
[final] ).
cnf(c_0_4488,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
c_0_3191,
[final] ).
cnf(c_0_4489,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
c_0_3192,
[final] ).
cnf(c_0_4490,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
c_0_3193,
[final] ).
cnf(c_0_4491,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
c_0_3194,
[final] ).
cnf(c_0_4492,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
c_0_3195,
[final] ).
cnf(c_0_4493,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
c_0_3196,
[final] ).
cnf(c_0_4494,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
c_0_3197,
[final] ).
cnf(c_0_4495,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
c_0_3198,
[final] ).
cnf(c_0_4496,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))) ),
c_0_3199,
[final] ).
cnf(c_0_4497,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))) ),
c_0_3200,
[final] ).
cnf(c_0_4498,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X1))) ),
c_0_3201,
[final] ).
cnf(c_0_4499,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X1))) ),
c_0_3202,
[final] ).
cnf(c_0_4500,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3203,
[final] ).
cnf(c_0_4501,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3204,
[final] ).
cnf(c_0_4502,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
c_0_3205,
[final] ).
cnf(c_0_4503,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
c_0_3206,
[final] ).
cnf(c_0_4504,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4)
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X3)) ),
c_0_3207,
[final] ).
cnf(c_0_4505,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X3)) ),
c_0_3208,
[final] ).
cnf(c_0_4506,plain,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X3)) ),
c_0_3209,
[final] ).
cnf(c_0_4507,plain,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X3)) ),
c_0_3210,
[final] ).
cnf(c_0_4508,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3211,
[final] ).
cnf(c_0_4509,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3212,
[final] ).
cnf(c_0_4510,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3213,
[final] ).
cnf(c_0_4511,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3214,
[final] ).
cnf(c_0_4512,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)),
c_0_3215,
[final] ).
cnf(c_0_4513,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
c_0_3216,
[final] ).
cnf(c_0_4514,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
c_0_3217,
[final] ).
cnf(c_0_4515,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_3218,
[final] ).
cnf(c_0_4516,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_3219,
[final] ).
cnf(c_0_4517,plain,
hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X1)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))) = hAPP_f2143211163_state(the_el23965208_state,X1),
c_0_3220,
[final] ).
cnf(c_0_4518,plain,
hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X1)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))) = hAPP_f1297739591_pname(the_elem_pname,X1),
c_0_3221,
[final] ).
cnf(c_0_4519,plain,
( X1 = X4
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
c_0_3222,
[final] ).
cnf(c_0_4520,plain,
( X2 = X5
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
c_0_3223,
[final] ).
cnf(c_0_4521,plain,
( X3 = X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
c_0_3224,
[final] ).
cnf(c_0_4522,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3) ),
c_0_3225,
[final] ).
cnf(c_0_4523,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
c_0_3226,
[final] ).
cnf(c_0_4524,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
c_0_3227,
[final] ).
cnf(c_0_4525,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3228,
[final] ).
cnf(c_0_4526,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3229,
[final] ).
cnf(c_0_4527,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3230,
[final] ).
cnf(c_0_4528,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3231,
[final] ).
cnf(c_0_4529,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3232,
[final] ).
cnf(c_0_4530,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3233,
[final] ).
cnf(c_0_4531,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3234,
[final] ).
cnf(c_0_4532,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3235,
[final] ).
cnf(c_0_4533,plain,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
c_0_3236,
[final] ).
cnf(c_0_4534,plain,
( X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_3237,
[final] ).
cnf(c_0_4535,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
c_0_3238,
[final] ).
cnf(c_0_4536,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2) ),
c_0_3239,
[final] ).
cnf(c_0_4537,plain,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
c_0_3240,
[final] ).
cnf(c_0_4538,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
c_0_3241,
[final] ).
cnf(c_0_4539,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk29_2(X2,X1)),X1)) ),
c_0_3242,
[final] ).
cnf(c_0_4540,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X2,X1)),X1)) ),
c_0_3243,
[final] ).
cnf(c_0_4541,plain,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
c_0_3244,
[final] ).
cnf(c_0_4542,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
c_0_3245,
[final] ).
cnf(c_0_4543,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
c_0_3246,
[final] ).
cnf(c_0_4544,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
c_0_3247,
[final] ).
cnf(c_0_4545,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
c_0_3248,
[final] ).
cnf(c_0_4546,plain,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
c_0_3249,
[final] ).
cnf(c_0_4547,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
c_0_3250,
[final] ).
cnf(c_0_4548,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| is_fun_pname_bool(esk134_2(X2,X1)) ),
c_0_3251,
[final] ).
cnf(c_0_4549,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| is_pname(esk133_2(X2,X1)) ),
c_0_3252,
[final] ).
cnf(c_0_4550,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)),
c_0_3253,
[final] ).
cnf(c_0_4551,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3254,
[final] ).
cnf(c_0_4552,plain,
( X2 = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3255,
[final] ).
cnf(c_0_4553,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3256,
[final] ).
cnf(c_0_4554,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3257,
[final] ).
cnf(c_0_4555,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3258,
[final] ).
cnf(c_0_4556,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3259,
[final] ).
cnf(c_0_4557,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
c_0_3260,
[final] ).
cnf(c_0_4558,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
c_0_3261,
[final] ).
cnf(c_0_4559,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
c_0_3262,
[final] ).
cnf(c_0_4560,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| X2 != X3 ),
c_0_3263,
[final] ).
cnf(c_0_4561,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
c_0_3264,
[final] ).
cnf(c_0_4562,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3)) ),
c_0_3265,
[final] ).
cnf(c_0_4563,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
c_0_3266,
[final] ).
cnf(c_0_4564,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
c_0_3267,
[final] ).
cnf(c_0_4565,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| X1 != X2 ),
c_0_3268,
[final] ).
cnf(c_0_4566,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3269,
[final] ).
cnf(c_0_4567,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3270,
[final] ).
cnf(c_0_4568,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3271,
[final] ).
cnf(c_0_4569,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3272,
[final] ).
cnf(c_0_4570,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
c_0_3273,
[final] ).
cnf(c_0_4571,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
c_0_3274,
[final] ).
cnf(c_0_4572,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
c_0_3275,
[final] ).
cnf(c_0_4573,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
c_0_3276,
[final] ).
cnf(c_0_4574,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
c_0_3277,
[final] ).
cnf(c_0_4575,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk68_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
c_0_3278,
[final] ).
cnf(c_0_4576,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(esk64_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
c_0_3279,
[final] ).
cnf(c_0_4577,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk62_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
c_0_3280,
[final] ).
cnf(c_0_4578,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(esk60_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
c_0_3281,
[final] ).
cnf(c_0_4579,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk58_2(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
c_0_3282,
[final] ).
cnf(c_0_4580,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(esk57_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
c_0_3283,
[final] ).
cnf(c_0_4581,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
c_0_3284,
[final] ).
cnf(c_0_4582,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
c_0_3285,
[final] ).
cnf(c_0_4583,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
c_0_3286,
[final] ).
cnf(c_0_4584,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
c_0_3287,
[final] ).
cnf(c_0_4585,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
c_0_3288,
[final] ).
cnf(c_0_4586,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
c_0_3289,
[final] ).
cnf(c_0_4587,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
c_0_3290,
[final] ).
cnf(c_0_4588,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
c_0_3291,
[final] ).
cnf(c_0_4589,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
c_0_3292,
[final] ).
cnf(c_0_4590,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
c_0_3293,
[final] ).
cnf(c_0_4591,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
c_0_3294,
[final] ).
cnf(c_0_4592,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
c_0_3295,
[final] ).
cnf(c_0_4593,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))),
c_0_3296,
[final] ).
cnf(c_0_4594,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))),
c_0_3297,
[final] ).
cnf(c_0_4595,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2))),
c_0_3298,
[final] ).
cnf(c_0_4596,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))),
c_0_3299,
[final] ).
cnf(c_0_4597,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)),
c_0_3300,
[final] ).
cnf(c_0_4598,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)),
c_0_3301,
[final] ).
cnf(c_0_4599,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X4
| X1 != X3 ),
c_0_3302,
[final] ).
cnf(c_0_4600,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X3
| X1 != X4 ),
c_0_3303,
[final] ).
cnf(c_0_4601,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk156_2(X1,X2)),X1)) ),
c_0_3304,
[final] ).
cnf(c_0_4602,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk157_2(X1,X2)),X2)) ),
c_0_3305,
[final] ).
cnf(c_0_4603,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk154_2(X1,X2)),X1)) ),
c_0_3306,
[final] ).
cnf(c_0_4604,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk155_2(X1,X2)),X2)) ),
c_0_3307,
[final] ).
cnf(c_0_4605,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
c_0_3308,
[final] ).
cnf(c_0_4606,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
c_0_3309,
[final] ).
cnf(c_0_4607,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
c_0_3310,
[final] ).
cnf(c_0_4608,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
c_0_3311,
[final] ).
cnf(c_0_4609,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)),
c_0_3312,
[final] ).
cnf(c_0_4610,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
c_0_3313,
[final] ).
cnf(c_0_4611,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)),
c_0_3314,
[final] ).
cnf(c_0_4612,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)),
c_0_3315,
[final] ).
cnf(c_0_4613,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 != X2 ),
c_0_3316,
[final] ).
cnf(c_0_4614,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
c_0_3317,
[final] ).
cnf(c_0_4615,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3318,
[final] ).
cnf(c_0_4616,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3319,
[final] ).
cnf(c_0_4617,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3320,
[final] ).
cnf(c_0_4618,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3321,
[final] ).
cnf(c_0_4619,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3322,
[final] ).
cnf(c_0_4620,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3323,
[final] ).
cnf(c_0_4621,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3324,
[final] ).
cnf(c_0_4622,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3325,
[final] ).
cnf(c_0_4623,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3326,
[final] ).
cnf(c_0_4624,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3327,
[final] ).
cnf(c_0_4625,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3328,
[final] ).
cnf(c_0_4626,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3329,
[final] ).
cnf(c_0_4627,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3330,
[final] ).
cnf(c_0_4628,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3331,
[final] ).
cnf(c_0_4629,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3332,
[final] ).
cnf(c_0_4630,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3333,
[final] ).
cnf(c_0_4631,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3334,
[final] ).
cnf(c_0_4632,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3335,
[final] ).
cnf(c_0_4633,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3336,
[final] ).
cnf(c_0_4634,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3337,
[final] ).
cnf(c_0_4635,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_3338,
[final] ).
cnf(c_0_4636,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_3339,
[final] ).
cnf(c_0_4637,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,esk137_2(X2,X1))) ),
c_0_3340,
[final] ).
cnf(c_0_4638,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,esk136_2(X2,X1))) ),
c_0_3341,
[final] ).
cnf(c_0_4639,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
c_0_3342,
[final] ).
cnf(c_0_4640,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| X1 != X3 ),
c_0_3343,
[final] ).
cnf(c_0_4641,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| X1 != X3 ),
c_0_3344,
[final] ).
cnf(c_0_4642,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| X2 != X3 ),
c_0_3345,
[final] ).
cnf(c_0_4643,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| X2 != X3 ),
c_0_3346,
[final] ).
cnf(c_0_4644,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
c_0_3347,
[final] ).
cnf(c_0_4645,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
c_0_3348,
[final] ).
cnf(c_0_4646,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
c_0_3349,
[final] ).
cnf(c_0_4647,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
c_0_3350,
[final] ).
cnf(c_0_4648,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
c_0_3351,
[final] ).
cnf(c_0_4649,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
c_0_3352,
[final] ).
cnf(c_0_4650,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
c_0_3353,
[final] ).
cnf(c_0_4651,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
c_0_3354,
[final] ).
cnf(c_0_4652,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
c_0_3355,
[final] ).
cnf(c_0_4653,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_pname_bool(X3,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
c_0_3356,
[final] ).
cnf(c_0_4654,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2)) ),
c_0_3357,
[final] ).
cnf(c_0_4655,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| ~ hBOOL(hAPP_pname_bool(X3,X2)) ),
c_0_3358,
[final] ).
cnf(c_0_4656,plain,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
c_0_3359,
[final] ).
cnf(c_0_4657,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
c_0_3360,
[final] ).
cnf(c_0_4658,plain,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
c_0_3361,
[final] ).
cnf(c_0_4659,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
c_0_3362,
[final] ).
cnf(c_0_4660,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3363,
[final] ).
cnf(c_0_4661,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3364,
[final] ).
cnf(c_0_4662,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3365,
[final] ).
cnf(c_0_4663,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3366,
[final] ).
cnf(c_0_4664,plain,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
c_0_3367,
[final] ).
cnf(c_0_4665,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),esk140_2(X2,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3368,
[final] ).
cnf(c_0_4666,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),esk138_2(X2,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3369,
[final] ).
cnf(c_0_4667,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3370,
[final] ).
cnf(c_0_4668,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3371,
[final] ).
cnf(c_0_4669,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3372,
[final] ).
cnf(c_0_4670,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3373,
[final] ).
cnf(c_0_4671,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_3374,
[final] ).
cnf(c_0_4672,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3375,
[final] ).
cnf(c_0_4673,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
c_0_3376,
[final] ).
cnf(c_0_4674,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
c_0_3377,
[final] ).
cnf(c_0_4675,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X1)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
c_0_3378,
[final] ).
cnf(c_0_4676,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),X2)) ),
c_0_3379,
[final] ).
cnf(c_0_4677,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk72_1(X1)),esk73_1(X1))) ),
c_0_3380,
[final] ).
cnf(c_0_4678,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),esk141_2(X1,X2)) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3381,
[final] ).
cnf(c_0_4679,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),esk139_2(X1,X2)) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3382,
[final] ).
cnf(c_0_4680,plain,
( some_com(esk69_2(X2,X1)) = hAPP_p799580910on_com(X1,X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(X1))) ),
c_0_3383,
[final] ).
cnf(c_0_4681,plain,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X3 != X6
| X2 != X5
| X1 != X4 ),
c_0_3384,
[final] ).
cnf(c_0_4682,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk74_1(X1)),esk75_1(X1))) ),
c_0_3385,
[final] ).
cnf(c_0_4683,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| X1 != X3 ),
c_0_3386,
[final] ).
cnf(c_0_4684,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
c_0_3387,
[final] ).
cnf(c_0_4685,plain,
( hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
c_0_3388,
[final] ).
cnf(c_0_4686,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
c_0_3389,
[final] ).
cnf(c_0_4687,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
c_0_3390,
[final] ).
cnf(c_0_4688,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
c_0_3391,
[final] ).
cnf(c_0_4689,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
c_0_3392,
[final] ).
cnf(c_0_4690,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
c_0_3393,
[final] ).
cnf(c_0_4691,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
c_0_3394,
[final] ).
cnf(c_0_4692,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3395,
[final] ).
cnf(c_0_4693,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3396,
[final] ).
cnf(c_0_4694,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
c_0_3397,
[final] ).
cnf(c_0_4695,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3398,
[final] ).
cnf(c_0_4696,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3399,
[final] ).
cnf(c_0_4697,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3400,
[final] ).
cnf(c_0_4698,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3401,
[final] ).
cnf(c_0_4699,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
c_0_3402,
[final] ).
cnf(c_0_4700,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_H513860823e_bool(X1,esk137_2(X2,X1))) ),
c_0_3403,
[final] ).
cnf(c_0_4701,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_pname_bool(X1,esk136_2(X2,X1))) ),
c_0_3404,
[final] ).
cnf(c_0_4702,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3405,
[final] ).
cnf(c_0_4703,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3406,
[final] ).
cnf(c_0_4704,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3407,
[final] ).
cnf(c_0_4705,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3408,
[final] ).
cnf(c_0_4706,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3409,
[final] ).
cnf(c_0_4707,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3410,
[final] ).
cnf(c_0_4708,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3411,
[final] ).
cnf(c_0_4709,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3412,
[final] ).
cnf(c_0_4710,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3413,
[final] ).
cnf(c_0_4711,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
c_0_3414,
[final] ).
cnf(c_0_4712,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
c_0_3415,
[final] ).
cnf(c_0_4713,plain,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
c_0_3416,
[final] ).
cnf(c_0_4714,plain,
( is_fun_pname_bool(esk140_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3417,
[final] ).
cnf(c_0_4715,plain,
( is_fun_pname_bool(esk138_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3418,
[final] ).
cnf(c_0_4716,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
c_0_3419,
[final] ).
cnf(c_0_4717,plain,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
c_0_3420,
[final] ).
cnf(c_0_4718,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,while(X2,X1))) ),
c_0_3421,
[final] ).
cnf(c_0_4719,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
c_0_3422,
[final] ).
cnf(c_0_4720,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
c_0_3423,
[final] ).
cnf(c_0_4721,plain,
hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X1),X2),X3) = hAPP_H521649881_state(hAPP_p964374716_state(X1,X3),hAPP_p1842370726_state(X2,X3)),
c_0_3424,
[final] ).
cnf(c_0_4722,plain,
hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X1),X2),X3) = hAPP_c408625258_state(hAPP_p2032835427_state(X1,X3),hAPP_pname_com(X2,X3)),
c_0_3425,
[final] ).
cnf(c_0_4723,plain,
hAPP_f588507005_state(hAPP_p1712839024_state(X1,X3),hAPP_p1637813682e_bool(X2,X3)) = hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X1),X2),X3),
c_0_3426,
[final] ).
cnf(c_0_4724,plain,
hAPP_H563960305_state(hAPP_p80247908_state(X1,X3),hAPP_p1842370726_state(X2,X3)) = hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X1),X2),X3),
c_0_3427,
[final] ).
cnf(c_0_4725,plain,
hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X1),X2),X3) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X1,X3),hAPP_p799580910on_com(X2,X3)),
c_0_3428,
[final] ).
cnf(c_0_4726,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1508101115l_bool(X1,X3),hAPP_f1760790145l_bool(X2,X3)),
c_0_3429,
[final] ).
cnf(c_0_4727,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_H226398757l_bool(X1,X3),hAPP_H513860823e_bool(X2,X3)),
c_0_3430,
[final] ).
cnf(c_0_4728,plain,
hAPP_o356497025on_com(hAPP_p1086945780on_com(X1,X3),hAPP_p799580910on_com(X2,X3)) = hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X1),X2),X3),
c_0_3431,
[final] ).
cnf(c_0_4729,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)),
c_0_3432,
[final] ).
cnf(c_0_4730,plain,
hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),hAPP_state_bool(X2,X3)) = hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X1),X2),X3),
c_0_3433,
[final] ).
cnf(c_0_4731,plain,
hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X1),X2),X3),
c_0_3434,
[final] ).
cnf(c_0_4732,plain,
( X1 = some_pname(X2)
| ~ is_option_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1))) ),
c_0_3435,
[final] ).
cnf(c_0_4733,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X2),X1)) ),
c_0_3436,
[final] ).
cnf(c_0_4734,plain,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3437,
[final] ).
cnf(c_0_4735,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
c_0_3438,
[final] ).
cnf(c_0_4736,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk45_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
c_0_3439,
[final] ).
cnf(c_0_4737,plain,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk46_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
c_0_3440,
[final] ).
cnf(c_0_4738,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk41_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
c_0_3441,
[final] ).
cnf(c_0_4739,plain,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk42_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
c_0_3442,
[final] ).
cnf(c_0_4740,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3443,
[final] ).
cnf(c_0_4741,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3444,
[final] ).
cnf(c_0_4742,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3445,
[final] ).
cnf(c_0_4743,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
c_0_3446,
[final] ).
cnf(c_0_4744,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
c_0_3447,
[final] ).
cnf(c_0_4745,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3448,
[final] ).
cnf(c_0_4746,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
c_0_3449,
[final] ).
cnf(c_0_4747,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3450,
[final] ).
cnf(c_0_4748,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
c_0_3451,
[final] ).
cnf(c_0_4749,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
c_0_3452,
[final] ).
cnf(c_0_4750,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
c_0_3453,
[final] ).
cnf(c_0_4751,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
c_0_3454,
[final] ).
cnf(c_0_4752,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
c_0_3455,
[final] ).
cnf(c_0_4753,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
c_0_3456,
[final] ).
cnf(c_0_4754,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
c_0_3457,
[final] ).
cnf(c_0_4755,plain,
( X1 = some_com(X2)
| ~ hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X2),set_com(X1))) ),
c_0_3458,
[final] ).
cnf(c_0_4756,plain,
( X1 = some_H1133819688_state(X2)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),set_Ho1831989999_state(X1))) ),
c_0_3459,
[final] ).
cnf(c_0_4757,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) != X1 ),
c_0_3460,
[final] ).
cnf(c_0_4758,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3461,
[final] ).
cnf(c_0_4759,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3462,
[final] ).
cnf(c_0_4760,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3463,
[final] ).
cnf(c_0_4761,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3464,
[final] ).
cnf(c_0_4762,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
c_0_3465,
[final] ).
cnf(c_0_4763,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
c_0_3466,
[final] ).
cnf(c_0_4764,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)) ),
c_0_3467,
[final] ).
cnf(c_0_4765,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)) ),
c_0_3468,
[final] ).
cnf(c_0_4766,plain,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)) = X2
| ~ hBOOL(finite1282449217_pname(X3,X1))
| ~ is_pname(X2) ),
c_0_3469,
[final] ).
cnf(c_0_4767,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != bot_bo1055319631e_bool
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3) ),
c_0_3470,
[final] ).
cnf(c_0_4768,plain,
( some_com(esk27_1(X1)) = hAPP_p799580910on_com(body,X1)
| ~ hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X1))) ),
c_0_3471,
[final] ).
cnf(c_0_4769,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2)
| X1 != bot_bo844097828e_bool ),
c_0_3472,
[final] ).
cnf(c_0_4770,plain,
( ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2) ),
c_0_3473,
[final] ).
cnf(c_0_4771,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
c_0_3474,
[final] ).
cnf(c_0_4772,plain,
( X1 = X2
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
c_0_3475,
[final] ).
cnf(c_0_4773,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) != X1 ),
c_0_3476,
[final] ).
cnf(c_0_4774,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
c_0_3477,
[final] ).
cnf(c_0_4775,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
c_0_3478,
[final] ).
cnf(c_0_4776,plain,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
c_0_3479,
[final] ).
cnf(c_0_4777,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| esk108_2(X2,X1) != bot_bo1649642514l_bool ),
c_0_3480,
[final] ).
cnf(c_0_4778,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| esk102_2(X2,X1) != bot_bo844097828e_bool ),
c_0_3481,
[final] ).
cnf(c_0_4779,plain,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = X2
| ~ hBOOL(finite774711482_state(X3,X1)) ),
c_0_3482,
[final] ).
cnf(c_0_4780,plain,
( hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
c_0_3483,
[final] ).
cnf(c_0_4781,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2) ),
c_0_3484,
[final] ).
cnf(c_0_4782,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| X1 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X3),X2) ),
c_0_3485,
[final] ).
cnf(c_0_4783,plain,
hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,esk128_1(X1)),esk129_1(X1)),esk130_1(X1)) = X1,
c_0_3486,
[final] ).
cnf(c_0_4784,plain,
( hBOOL(X1)
| hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
c_0_3487,
[final] ).
cnf(c_0_4785,plain,
( X1 = X2
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
c_0_3488,
[final] ).
cnf(c_0_4786,plain,
hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X1,X3),X2),
c_0_3489,
[final] ).
cnf(c_0_4787,plain,
hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X1),X2),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X1,X3),X2),
c_0_3490,
[final] ).
cnf(c_0_4788,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X1,X3),X2),
c_0_3491,
[final] ).
cnf(c_0_4789,plain,
hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X1,X3),X2),
c_0_3492,
[final] ).
cnf(c_0_4790,plain,
hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X1,X3),X2),
c_0_3493,
[final] ).
cnf(c_0_4791,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X1,X3),X2),
c_0_3494,
[final] ).
cnf(c_0_4792,plain,
hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
c_0_3495,
[final] ).
cnf(c_0_4793,plain,
hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X1,X3),X2),
c_0_3496,
[final] ).
cnf(c_0_4794,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
c_0_3497,
[final] ).
cnf(c_0_4795,plain,
hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f1745235422e_bool(X1,X3),X2),
c_0_3498,
[final] ).
cnf(c_0_4796,plain,
hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X1,X3),X2),
c_0_3499,
[final] ).
cnf(c_0_4797,plain,
hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X1,X3),X2),
c_0_3500,
[final] ).
cnf(c_0_4798,plain,
hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X1,X3),X2),
c_0_3501,
[final] ).
cnf(c_0_4799,plain,
hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X1),X2),X3) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X1,X3),X2),
c_0_3502,
[final] ).
cnf(c_0_4800,plain,
hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X1),X2),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X1,X3),X2),
c_0_3503,
[final] ).
cnf(c_0_4801,plain,
hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
c_0_3504,
[final] ).
cnf(c_0_4802,plain,
hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_H1632039476e_bool(X1,X3),X2),
c_0_3505,
[final] ).
cnf(c_0_4803,plain,
hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X1,X3),X2),
c_0_3506,
[final] ).
cnf(c_0_4804,plain,
hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f759274231e_bool(X1,X3),X2),
c_0_3507,
[final] ).
cnf(c_0_4805,plain,
hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X1),X2),X3) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X1,X3),X2),
c_0_3508,
[final] ).
cnf(c_0_4806,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
c_0_3509,
[final] ).
cnf(c_0_4807,plain,
hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X1),X2),X3) = hAPP_state_bool(hAPP_s1806633685e_bool(X1,X3),X2),
c_0_3510,
[final] ).
cnf(c_0_4808,plain,
hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
c_0_3511,
[final] ).
cnf(c_0_4809,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),X2),
c_0_3512,
[final] ).
cnf(c_0_4810,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
c_0_3513,
[final] ).
cnf(c_0_4811,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
c_0_3514,
[final] ).
cnf(c_0_4812,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
c_0_3515,
[final] ).
cnf(c_0_4813,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
c_0_3516,
[final] ).
cnf(c_0_4814,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
c_0_3517,
[final] ).
cnf(c_0_4815,plain,
( X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1) ),
c_0_3518,
[final] ).
cnf(c_0_4816,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
c_0_3519,
[final] ).
cnf(c_0_4817,plain,
( hBOOL(hAPP_com_bool(wt,while(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
c_0_3520,
[final] ).
cnf(c_0_4818,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
c_0_3521,
[final] ).
cnf(c_0_4819,plain,
( X1 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
c_0_3522,
[final] ).
cnf(c_0_4820,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
c_0_3523,
[final] ).
cnf(c_0_4821,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X2 != bot_bo844097828e_bool ),
c_0_3524,
[final] ).
cnf(c_0_4822,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2)) ),
c_0_3525,
[final] ).
cnf(c_0_4823,plain,
( X1 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2)) ),
c_0_3526,
[final] ).
cnf(c_0_4824,plain,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2)) ),
c_0_3527,
[final] ).
cnf(c_0_4825,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
c_0_3528,
[final] ).
cnf(c_0_4826,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
c_0_3529,
[final] ).
cnf(c_0_4827,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
c_0_3530,
[final] ).
cnf(c_0_4828,plain,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
c_0_3531,
[final] ).
cnf(c_0_4829,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
c_0_3532,
[final] ).
cnf(c_0_4830,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
c_0_3533,
[final] ).
cnf(c_0_4831,plain,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
c_0_3534,
[final] ).
cnf(c_0_4832,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
c_0_3535,
[final] ).
cnf(c_0_4833,plain,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
c_0_3536,
[final] ).
cnf(c_0_4834,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
c_0_3537,
[final] ).
cnf(c_0_4835,plain,
( X1 = X2
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool) ),
c_0_3538,
[final] ).
cnf(c_0_4836,plain,
hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool),
c_0_3539,
[final] ).
cnf(c_0_4837,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool),
c_0_3540,
[final] ).
cnf(c_0_4838,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool),
c_0_3541,
[final] ).
cnf(c_0_4839,plain,
hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool),
c_0_3542,
[final] ).
cnf(c_0_4840,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)) = X1,
c_0_3543,
[final] ).
cnf(c_0_4841,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = X1,
c_0_3544,
[final] ).
cnf(c_0_4842,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
c_0_3545,
[final] ).
cnf(c_0_4843,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk142_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3546,
[final] ).
cnf(c_0_4844,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk11_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3547,
[final] ).
cnf(c_0_4845,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk9_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3548,
[final] ).
cnf(c_0_4846,plain,
( X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk54_1(X1)),esk53_1(X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3549,
[final] ).
cnf(c_0_4847,plain,
( X1 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,esk50_1(X1)),esk49_1(X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3550,
[final] ).
cnf(c_0_4848,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk136_2(X2,X1)) ),
c_0_3551,
[final] ).
cnf(c_0_4849,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk94_2(X1,X2)) ),
c_0_3552,
[final] ).
cnf(c_0_4850,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk82_2(X1,X2)) ),
c_0_3553,
[final] ).
cnf(c_0_4851,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(esk28_2(X2,X1)) ),
c_0_3554,
[final] ).
cnf(c_0_4852,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1)))
| ~ is_option_pname(X1)
| X1 != some_pname(X2) ),
c_0_3555,
[final] ).
cnf(c_0_4853,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk143_1(X1)),X1)) ),
c_0_3556,
[final] ).
cnf(c_0_4854,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk12_1(X1)),X1)) ),
c_0_3557,
[final] ).
cnf(c_0_4855,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,esk10_1(X1)),X1))
| X1 = bot_bo1055319631e_bool ),
c_0_3558,
[final] ).
cnf(c_0_4856,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk56_1(X1)),esk55_1(X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3559,
[final] ).
cnf(c_0_4857,plain,
( X1 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,esk52_1(X1)),esk51_1(X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3560,
[final] ).
cnf(c_0_4858,plain,
hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X1),evalc(X1)) = hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1),
c_0_3561,
[final] ).
cnf(c_0_4859,plain,
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X1),set_com(X2)))
| X2 != some_com(X1) ),
c_0_3562,
[final] ).
cnf(c_0_4860,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),set_Ho1831989999_state(X2)))
| X2 != some_H1133819688_state(X1) ),
c_0_3563,
[final] ).
cnf(c_0_4861,plain,
hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X1),X1)),
c_0_3564,
[final] ).
cnf(c_0_4862,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
c_0_3565,
[final] ).
cnf(c_0_4863,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
c_0_3566,
[final] ).
cnf(c_0_4864,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
c_0_3567,
[final] ).
cnf(c_0_4865,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
c_0_3568,
[final] ).
cnf(c_0_4866,plain,
hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
c_0_3569,
[final] ).
cnf(c_0_4867,plain,
hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X1),X2),X3) = hAPP_f1949912908_state(X1,hAPP_p1637813682e_bool(X2,X3)),
c_0_3570,
[final] ).
cnf(c_0_4868,plain,
hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X1),X2),X3) = hAPP_b798484845_state(X1,hAPP_pname_bool(X2,X3)),
c_0_3571,
[final] ).
cnf(c_0_4869,plain,
hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f2143211163_state(X2,X3)),
c_0_3572,
[final] ).
cnf(c_0_4870,plain,
hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_p877885514e_bool(X2,X3)),
c_0_3573,
[final] ).
cnf(c_0_4871,plain,
hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_H563960305_state(X2,X3)),
c_0_3574,
[final] ).
cnf(c_0_4872,plain,
hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f1308959284_state(X2,X3)),
c_0_3575,
[final] ).
cnf(c_0_4873,plain,
hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X1),X2),X3) = hAPP_f644196280e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
c_0_3576,
[final] ).
cnf(c_0_4874,plain,
hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_H1632039476e_bool(X2,X3)),
c_0_3577,
[final] ).
cnf(c_0_4875,plain,
hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_p1842370726_state(X2,X3)),
c_0_3578,
[final] ).
cnf(c_0_4876,plain,
hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X1),X2),X3) = hAPP_f1760790145l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
c_0_3579,
[final] ).
cnf(c_0_4877,plain,
hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X1),X2),X3) = hAPP_b1679505845on_com(X1,hAPP_pname_bool(X2,X3)),
c_0_3580,
[final] ).
cnf(c_0_4878,plain,
hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X1),X2),X3) = hAPP_f167292325e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
c_0_3581,
[final] ).
cnf(c_0_4879,plain,
hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1008690464_pname(X2,X3)),
c_0_3582,
[final] ).
cnf(c_0_4880,plain,
hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
c_0_3583,
[final] ).
cnf(c_0_4881,plain,
hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X1),X2),X3) = hAPP_f1012183542e_bool(X1,hAPP_s336103912e_bool(X2,X3)),
c_0_3584,
[final] ).
cnf(c_0_4882,plain,
hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X1),X2),X3) = hAPP_f1863945078e_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
c_0_3585,
[final] ).
cnf(c_0_4883,plain,
hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X1),X2),X3) = hAPP_f1259673775l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
c_0_3586,
[final] ).
cnf(c_0_4884,plain,
hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
c_0_3587,
[final] ).
cnf(c_0_4885,plain,
hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_H1344248906_pname(X2,X3)),
c_0_3588,
[final] ).
cnf(c_0_4886,plain,
hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H513860823e_bool(X2,X3)),
c_0_3589,
[final] ).
cnf(c_0_4887,plain,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
c_0_3590,
[final] ).
cnf(c_0_4888,plain,
hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3)),
c_0_3591,
[final] ).
cnf(c_0_4889,plain,
hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
c_0_3592,
[final] ).
cnf(c_0_4890,plain,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_H513860823e_bool(X2,X3)),
c_0_3593,
[final] ).
cnf(c_0_4891,plain,
hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X1),X2),X3) = hAPP_c1546227244_state(X1,hAPP_pname_com(X2,X3)),
c_0_3594,
[final] ).
cnf(c_0_4892,plain,
hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3)),
c_0_3595,
[final] ).
cnf(c_0_4893,plain,
hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X1),X2),X3) = hAPP_f327114704l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
c_0_3596,
[final] ).
cnf(c_0_4894,plain,
hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X1),X2),X3) = hAPP_f1664156314l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
c_0_3597,
[final] ).
cnf(c_0_4895,plain,
hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_state_bool(X2,X3)),
c_0_3598,
[final] ).
cnf(c_0_4896,plain,
hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
c_0_3599,
[final] ).
cnf(c_0_4897,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
c_0_3600,
[final] ).
cnf(c_0_4898,plain,
hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X1),X2),X3) = hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)),
c_0_3601,
[final] ).
cnf(c_0_4899,plain,
hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_state_bool(X2,X3)),
c_0_3602,
[final] ).
cnf(c_0_4900,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)),
c_0_3603,
[final] ).
cnf(c_0_4901,plain,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk53_1(X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3604,
[final] ).
cnf(c_0_4902,plain,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk49_1(X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3605,
[final] ).
cnf(c_0_4903,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
c_0_3606,
[final] ).
cnf(c_0_4904,plain,
( hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X1
| ~ is_pname(X1) ),
c_0_3607,
[final] ).
cnf(c_0_4905,plain,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,esk55_1(X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
c_0_3608,
[final] ).
cnf(c_0_4906,plain,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,esk51_1(X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
c_0_3609,
[final] ).
cnf(c_0_4907,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| ~ hBOOL(X2) ),
c_0_3610,
[final] ).
cnf(c_0_4908,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X2) ),
c_0_3611,
[final] ).
cnf(c_0_4909,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X1) ),
c_0_3612,
[final] ).
cnf(c_0_4910,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3613,
[final] ).
cnf(c_0_4911,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3614,
[final] ).
cnf(c_0_4912,plain,
hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X1,
c_0_3615,
[final] ).
cnf(c_0_4913,plain,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X1),X2) = X2,
c_0_3616,
[final] ).
cnf(c_0_4914,plain,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X1),X2) = X1,
c_0_3617,
[final] ).
cnf(c_0_4915,plain,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X1),X2) = X2,
c_0_3618,
[final] ).
cnf(c_0_4916,plain,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X1),X2) = X1,
c_0_3619,
[final] ).
cnf(c_0_4917,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| hBOOL(X1) ),
c_0_3620,
[final] ).
cnf(c_0_4918,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2))
| X1 != X2 ),
c_0_3621,
[final] ).
cnf(c_0_4919,plain,
( hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2))
| X1 != X2 ),
c_0_3622,
[final] ).
cnf(c_0_4920,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 != X2 ),
c_0_3623,
[final] ).
cnf(c_0_4921,plain,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2))
| X1 != X2 ),
c_0_3624,
[final] ).
cnf(c_0_4922,plain,
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 != X2 ),
c_0_3625,
[final] ).
cnf(c_0_4923,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
c_0_3626,
[final] ).
cnf(c_0_4924,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
c_0_3627,
[final] ).
cnf(c_0_4925,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
c_0_3628,
[final] ).
cnf(c_0_4926,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
c_0_3629,
[final] ).
cnf(c_0_4927,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
c_0_3630,
[final] ).
cnf(c_0_4928,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
c_0_3631,
[final] ).
cnf(c_0_4929,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
c_0_3632,
[final] ).
cnf(c_0_4930,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
c_0_3633,
[final] ).
cnf(c_0_4931,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
c_0_3634,
[final] ).
cnf(c_0_4932,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
c_0_3635,
[final] ).
cnf(c_0_4933,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
c_0_3636,
[final] ).
cnf(c_0_4934,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
c_0_3637,
[final] ).
cnf(c_0_4935,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
c_0_3638,
[final] ).
cnf(c_0_4936,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
c_0_3639,
[final] ).
cnf(c_0_4937,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
c_0_3640,
[final] ).
cnf(c_0_4938,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
c_0_3641,
[final] ).
cnf(c_0_4939,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
c_0_3642,
[final] ).
cnf(c_0_4940,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
c_0_3643,
[final] ).
cnf(c_0_4941,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
c_0_3644,
[final] ).
cnf(c_0_4942,plain,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),dom_pname_com(X2)) = dom_pname_com(X2)
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
c_0_3645,
[final] ).
cnf(c_0_4943,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
c_0_3646,
[final] ).
cnf(c_0_4944,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
c_0_3647,
[final] ).
cnf(c_0_4945,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
c_0_3648,
[final] ).
cnf(c_0_4946,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
c_0_3649,
[final] ).
cnf(c_0_4947,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
c_0_3650,
[final] ).
cnf(c_0_4948,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
c_0_3651,
[final] ).
cnf(c_0_4949,plain,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
c_0_3652,
[final] ).
cnf(c_0_4950,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
c_0_3653,
[final] ).
cnf(c_0_4951,plain,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
c_0_3654,
[final] ).
cnf(c_0_4952,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
c_0_3655,
[final] ).
cnf(c_0_4953,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
c_0_3656,
[final] ).
cnf(c_0_4954,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
c_0_3657,
[final] ).
cnf(c_0_4955,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
c_0_3658,
[final] ).
cnf(c_0_4956,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
c_0_3659,
[final] ).
cnf(c_0_4957,plain,
( hBOOL(hAPP_state_bool(X1,X2))
| ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X1)) ),
c_0_3660,
[final] ).
cnf(c_0_4958,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X1)),
c_0_3661,
[final] ).
cnf(c_0_4959,plain,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X1)),
c_0_3662,
[final] ).
cnf(c_0_4960,plain,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),
c_0_3663,
[final] ).
cnf(c_0_4961,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) = hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X1)),
c_0_3664,
[final] ).
cnf(c_0_4962,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
c_0_3665,
[final] ).
cnf(c_0_4963,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
c_0_3666,
[final] ).
cnf(c_0_4964,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
c_0_3667,
[final] ).
cnf(c_0_4965,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
c_0_3668,
[final] ).
cnf(c_0_4966,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| X2 = bot_bo1055319631e_bool ),
c_0_3669,
[final] ).
cnf(c_0_4967,plain,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool ),
c_0_3670,
[final] ).
cnf(c_0_4968,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool ),
c_0_3671,
[final] ).
cnf(c_0_4969,plain,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool ),
c_0_3672,
[final] ).
cnf(c_0_4970,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool ),
c_0_3673,
[final] ).
cnf(c_0_4971,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(esk154_2(X1,X2)) ),
c_0_3674,
[final] ).
cnf(c_0_4972,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(esk155_2(X1,X2)) ),
c_0_3675,
[final] ).
cnf(c_0_4973,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| esk157_2(X1,X2) = esk156_2(X1,X2) ),
c_0_3676,
[final] ).
cnf(c_0_4974,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| esk155_2(X1,X2) = esk154_2(X1,X2) ),
c_0_3677,
[final] ).
cnf(c_0_4975,plain,
( X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,esk72_1(X1)),esk73_1(X1)) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3678,
[final] ).
cnf(c_0_4976,plain,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(esk53_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3679,
[final] ).
cnf(c_0_4977,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk54_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
c_0_3680,
[final] ).
cnf(c_0_4978,plain,
( X1 = bot_bo1649642514l_bool
| is_fun1661590463l_bool(esk49_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3681,
[final] ).
cnf(c_0_4979,plain,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(esk50_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
c_0_3682,
[final] ).
cnf(c_0_4980,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
c_0_3683,
[final] ).
cnf(c_0_4981,plain,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
c_0_3684,
[final] ).
cnf(c_0_4982,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
c_0_3685,
[final] ).
cnf(c_0_4983,plain,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
c_0_3686,
[final] ).
cnf(c_0_4984,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != bot_bo1055319631e_bool,
c_0_3687,
[final] ).
cnf(c_0_4985,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) != bot_bo844097828e_bool,
c_0_3688,
[final] ).
cnf(c_0_4986,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != bot_bo1055319631e_bool,
c_0_3689,
[final] ).
cnf(c_0_4987,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) != bot_bo844097828e_bool,
c_0_3690,
[final] ).
cnf(c_0_4988,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
c_0_3691,
[final] ).
cnf(c_0_4989,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,esk74_1(X1)),esk75_1(X1)) = X1 ),
c_0_3692,
[final] ).
cnf(c_0_4990,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
c_0_3693,
[final] ).
cnf(c_0_4991,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
c_0_3694,
[final] ).
cnf(c_0_4992,plain,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
c_0_3695,
[final] ).
cnf(c_0_4993,plain,
( hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,esk8_1(X1))) ),
c_0_3696,
[final] ).
cnf(c_0_4994,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X1,esk7_1(X1))) ),
c_0_3697,
[final] ).
cnf(c_0_4995,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X1,esk6_1(X1))) ),
c_0_3698,
[final] ).
cnf(c_0_4996,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X1,esk5_1(X1))) ),
c_0_3699,
[final] ).
cnf(c_0_4997,plain,
( hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,esk4_1(X1))) ),
c_0_3700,
[final] ).
cnf(c_0_4998,plain,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X1,esk3_1(X1))) ),
c_0_3701,
[final] ).
cnf(c_0_4999,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X1,esk2_1(X1))) ),
c_0_3702,
[final] ).
cnf(c_0_5000,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X1,esk1_1(X1))) ),
c_0_3703,
[final] ).
cnf(c_0_5001,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
c_0_3704,
[final] ).
cnf(c_0_5002,plain,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
c_0_3705,
[final] ).
cnf(c_0_5003,plain,
( X1 = X3
| while(X1,X2) != while(X3,X4) ),
c_0_3706,
[final] ).
cnf(c_0_5004,plain,
( X2 = X4
| while(X1,X2) != while(X3,X4) ),
c_0_3707,
[final] ).
cnf(c_0_5005,plain,
( X1 = X3
| semi(X1,X2) != semi(X3,X4) ),
c_0_3708,
[final] ).
cnf(c_0_5006,plain,
( X2 = X4
| semi(X1,X2) != semi(X3,X4) ),
c_0_3709,
[final] ).
cnf(c_0_5007,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
c_0_3710,
[final] ).
cnf(c_0_5008,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
c_0_3711,
[final] ).
cnf(c_0_5009,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
c_0_3712,
[final] ).
cnf(c_0_5010,plain,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
c_0_3713,
[final] ).
cnf(c_0_5011,plain,
hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X1),bot_bot_fun_com_bool) = set_com(some_com(X1)),
c_0_3714,
[final] ).
cnf(c_0_5012,plain,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X1)),
c_0_3715,
[final] ).
cnf(c_0_5013,plain,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) = set_pname(some_pname(X1)),
c_0_3716,
[final] ).
cnf(c_0_5014,plain,
( is_bool(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun1661590463l_bool(X1) ),
c_0_3717,
[final] ).
cnf(c_0_5015,plain,
( is_bool(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| ~ is_fun_pname_bool(X1) ),
c_0_3718,
[final] ).
cnf(c_0_5016,plain,
while(X1,X2) != semi(X3,X4),
c_0_3719,
[final] ).
cnf(c_0_5017,plain,
semi(X1,X2) != while(X3,X4),
c_0_3720,
[final] ).
cnf(c_0_5018,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3721,
[final] ).
cnf(c_0_5019,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3722,
[final] ).
cnf(c_0_5020,plain,
( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
c_0_3723,
[final] ).
cnf(c_0_5021,plain,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3724,
[final] ).
cnf(c_0_5022,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3725,
[final] ).
cnf(c_0_5023,plain,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3726,
[final] ).
cnf(c_0_5024,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
c_0_3727,
[final] ).
cnf(c_0_5025,plain,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
c_0_3728,
[final] ).
cnf(c_0_5026,plain,
semi(X1,X2) != hAPP_pname_com(body_1,X3),
c_0_3729,
[final] ).
cnf(c_0_5027,plain,
hAPP_pname_com(body_1,X1) != semi(X2,X3),
c_0_3730,
[final] ).
cnf(c_0_5028,plain,
while(X1,X2) != hAPP_pname_com(body_1,X3),
c_0_3731,
[final] ).
cnf(c_0_5029,plain,
hAPP_pname_com(body_1,X1) != while(X2,X3),
c_0_3732,
[final] ).
cnf(c_0_5030,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
c_0_3733,
[final] ).
cnf(c_0_5031,plain,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
c_0_3734,
[final] ).
cnf(c_0_5032,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
c_0_3735,
[final] ).
cnf(c_0_5033,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
c_0_3736,
[final] ).
cnf(c_0_5034,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
c_0_3737,
[final] ).
cnf(c_0_5035,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
c_0_3738,
[final] ).
cnf(c_0_5036,plain,
( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
c_0_3739,
[final] ).
cnf(c_0_5037,plain,
( is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
c_0_3740,
[final] ).
cnf(c_0_5038,plain,
( is_bool(hAPP_f1935102916l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
c_0_3741,
[final] ).
cnf(c_0_5039,plain,
( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3742,
[final] ).
cnf(c_0_5040,plain,
( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3743,
[final] ).
cnf(c_0_5041,plain,
( is_pname(hAPP_f1297739591_pname(X1,X2))
| ~ is_fun_pname_bool(X2) ),
c_0_3744,
[final] ).
cnf(c_0_5042,plain,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
c_0_3745,
[final] ).
cnf(c_0_5043,plain,
( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
| ~ is_pname(X2) ),
c_0_3746,
[final] ).
cnf(c_0_5044,plain,
( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
| ~ is_pname(X2) ),
c_0_3747,
[final] ).
cnf(c_0_5045,plain,
( is_pname(hAPP_pname_pname(X1,X2))
| ~ is_pname(X2) ),
c_0_3748,
[final] ).
cnf(c_0_5046,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3749,
[final] ).
cnf(c_0_5047,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| X1 != bot_bo1649642514l_bool ),
c_0_3750,
[final] ).
cnf(c_0_5048,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
c_0_3751,
[final] ).
cnf(c_0_5049,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
c_0_3752,
[final] ).
cnf(c_0_5050,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
c_0_3753,
[final] ).
cnf(c_0_5051,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
c_0_3754,
[final] ).
cnf(c_0_5052,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
c_0_3755,
[final] ).
cnf(c_0_5053,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
c_0_3756,
[final] ).
cnf(c_0_5054,plain,
( while(X1,X2) = while(X3,X4)
| X2 != X4
| X1 != X3 ),
c_0_3757,
[final] ).
cnf(c_0_5055,plain,
( semi(X1,X2) = semi(X3,X4)
| X2 != X4
| X1 != X3 ),
c_0_3758,
[final] ).
cnf(c_0_5056,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
c_0_3759,
[final] ).
cnf(c_0_5057,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
c_0_3760,
[final] ).
cnf(c_0_5058,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
c_0_3761,
[final] ).
cnf(c_0_5059,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
c_0_3762,
[final] ).
cnf(c_0_5060,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
c_0_3763,
[final] ).
cnf(c_0_5061,plain,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
c_0_3764,
[final] ).
cnf(c_0_5062,plain,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
c_0_3765,
[final] ).
cnf(c_0_5063,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool ),
c_0_3766,
[final] ).
cnf(c_0_5064,plain,
( X1 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool ),
c_0_3767,
[final] ).
cnf(c_0_5065,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
c_0_3768,
[final] ).
cnf(c_0_5066,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
c_0_3769,
[final] ).
cnf(c_0_5067,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
c_0_3770,
[final] ).
cnf(c_0_5068,plain,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
c_0_3771,
[final] ).
cnf(c_0_5069,plain,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
c_0_3772,
[final] ).
cnf(c_0_5070,plain,
( hBOOL(hAPP_bool_bool(fNot,X1))
| hBOOL(X1) ),
c_0_3773,
[final] ).
cnf(c_0_5071,plain,
is_bool(hAPP_f1904669497l_bool(X1,X2)),
c_0_3774,
[final] ).
cnf(c_0_5072,plain,
is_bool(hAPP_f389811538l_bool(X1,X2)),
c_0_3775,
[final] ).
cnf(c_0_5073,plain,
is_fun_pname_bool(hAPP_f280588268e_bool(X1,X2)),
c_0_3776,
[final] ).
cnf(c_0_5074,plain,
is_bool(hAPP_f239102607l_bool(X1,X2)),
c_0_3777,
[final] ).
cnf(c_0_5075,plain,
is_fun1661590463l_bool(hAPP_f748867288l_bool(X1,X2)),
c_0_3778,
[final] ).
cnf(c_0_5076,plain,
is_fun_pname_bool(hAPP_f1745235422e_bool(X1,X2)),
c_0_3779,
[final] ).
cnf(c_0_5077,plain,
is_pname(hAPP_f1008690464_pname(X1,X2)),
c_0_3780,
[final] ).
cnf(c_0_5078,plain,
is_bool(hAPP_f327114704l_bool(X1,X2)),
c_0_3781,
[final] ).
cnf(c_0_5079,plain,
is_fun_pname_bool(hAPP_f42430548e_bool(X1,X2)),
c_0_3782,
[final] ).
cnf(c_0_5080,plain,
is_bool(hAPP_f990396704l_bool(X1,X2)),
c_0_3783,
[final] ).
cnf(c_0_5081,plain,
is_fun1661590463l_bool(hAPP_H737849090l_bool(X1,X2)),
c_0_3784,
[final] ).
cnf(c_0_5082,plain,
is_fun_pname_bool(hAPP_H1632039476e_bool(X1,X2)),
c_0_3785,
[final] ).
cnf(c_0_5083,plain,
is_bool(hAPP_H513860823e_bool(X1,X2)),
c_0_3786,
[final] ).
cnf(c_0_5084,plain,
is_pname(hAPP_H1344248906_pname(X1,X2)),
c_0_3787,
[final] ).
cnf(c_0_5085,plain,
is_bool(hAPP_state_bool(X1,X2)),
c_0_3788,
[final] ).
cnf(c_0_5086,plain,
is_bool(hAPP_com_bool(X1,X2)),
c_0_3789,
[final] ).
cnf(c_0_5087,plain,
is_bool(finite959343283e_bool(X1,X2)),
c_0_3790,
[final] ).
cnf(c_0_5088,plain,
is_bool(finite1268145088e_bool(X1,X2)),
c_0_3791,
[final] ).
cnf(c_0_5089,plain,
is_bool(finite506823037_state(X1,X2)),
c_0_3792,
[final] ).
cnf(c_0_5090,plain,
is_bool(finite89670078_pname(X1,X2)),
c_0_3793,
[final] ).
cnf(c_0_5091,plain,
is_bool(finite132673334e_bool(X1,X2)),
c_0_3794,
[final] ).
cnf(c_0_5092,plain,
is_bool(finite1626890877e_bool(X1,X2)),
c_0_3795,
[final] ).
cnf(c_0_5093,plain,
is_bool(finite774711482_state(X1,X2)),
c_0_3796,
[final] ).
cnf(c_0_5094,plain,
is_bool(finite1282449217_pname(X1,X2)),
c_0_3797,
[final] ).
cnf(c_0_5095,plain,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3798,
[final] ).
cnf(c_0_5096,plain,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
c_0_3799,
[final] ).
cnf(c_0_5097,plain,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| X1 != bot_bo1055319631e_bool ),
c_0_3800,
[final] ).
cnf(c_0_5098,plain,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| X1 != bot_bo1325454745l_bool ),
c_0_3801,
[final] ).
cnf(c_0_5099,plain,
( hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
c_0_3802,
[final] ).
cnf(c_0_5100,plain,
( hAPP_H1344248906_pname(cOMBK_588224941_state(X1),X2) = X1
| ~ is_pname(X1) ),
c_0_3803,
[final] ).
cnf(c_0_5101,plain,
( hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1
| ~ is_bool(X1) ),
c_0_3804,
[final] ).
cnf(c_0_5102,plain,
( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
c_0_3805,
[final] ).
cnf(c_0_5103,plain,
( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
| ~ is_bool(X1) ),
c_0_3806,
[final] ).
cnf(c_0_5104,plain,
hBOOL(hAPP_com_bool(wt,skip)),
c_0_3807,
[final] ).
cnf(c_0_5105,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
c_0_3808,
[final] ).
cnf(c_0_5106,plain,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
c_0_3809,
[final] ).
cnf(c_0_5107,plain,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
c_0_3810,
[final] ).
cnf(c_0_5108,plain,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
c_0_3811,
[final] ).
cnf(c_0_5109,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(esk6_1(X1)) ),
c_0_3812,
[final] ).
cnf(c_0_5110,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| is_pname(esk5_1(X1)) ),
c_0_3813,
[final] ).
cnf(c_0_5111,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(esk2_1(X1)) ),
c_0_3814,
[final] ).
cnf(c_0_5112,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| is_pname(esk1_1(X1)) ),
c_0_3815,
[final] ).
cnf(c_0_5113,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
c_0_3816,
[final] ).
cnf(c_0_5114,plain,
( hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
c_0_3817,
[final] ).
cnf(c_0_5115,plain,
semi(X1,X2) != skip,
c_0_3818,
[final] ).
cnf(c_0_5116,plain,
semi(X1,X2) != skip,
c_0_3819,
[final] ).
cnf(c_0_5117,plain,
while(X1,X2) != skip,
c_0_3820,
[final] ).
cnf(c_0_5118,plain,
while(X1,X2) != skip,
c_0_3821,
[final] ).
cnf(c_0_5119,plain,
hAPP_p1842370726_state(cOMBK_90103121_pname(X1),X2) = X1,
c_0_3822,
[final] ).
cnf(c_0_5120,plain,
hAPP_s1806633685e_bool(cOMBK_631994958_state(X1),X2) = X1,
c_0_3823,
[final] ).
cnf(c_0_5121,plain,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = X1
| ~ is_fun1661590463l_bool(X1) ),
c_0_3824,
[final] ).
cnf(c_0_5122,plain,
( hAPP_f759274231e_bool(collect_pname,X1) = X1
| ~ is_fun_pname_bool(X1) ),
c_0_3825,
[final] ).
cnf(c_0_5123,plain,
hAPP_pname_com(body_1,X1) != skip,
c_0_3826,
[final] ).
cnf(c_0_5124,plain,
hAPP_pname_com(body_1,X1) != skip,
c_0_3827,
[final] ).
cnf(c_0_5125,plain,
hAPP_option_com_com(the_com,some_com(X1)) = X1,
c_0_3828,
[final] ).
cnf(c_0_5126,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk142_1(X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3829,
[final] ).
cnf(c_0_5127,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk72_1(X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3830,
[final] ).
cnf(c_0_5128,plain,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(esk73_1(X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3831,
[final] ).
cnf(c_0_5129,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk11_1(X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3832,
[final] ).
cnf(c_0_5130,plain,
( X1 = bot_bo844097828e_bool
| is_pname(esk9_1(X1))
| ~ is_fun_pname_bool(X1) ),
c_0_3833,
[final] ).
cnf(c_0_5131,plain,
hAPP_f631639356e_bool(image_275883510_state(X1),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
c_0_3834,
[final] ).
cnf(c_0_5132,plain,
hAPP_f1745235422e_bool(image_1925245338_pname(X1),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
c_0_3835,
[final] ).
cnf(c_0_5133,plain,
( is_fun_pname_bool(set_pname(X1))
| ~ is_option_pname(X1) ),
c_0_3836,
[final] ).
cnf(c_0_5134,plain,
( is_option_pname(some_pname(X1))
| ~ is_pname(X1) ),
c_0_3837,
[final] ).
cnf(c_0_5135,plain,
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
| ~ is_bool(X1) ),
c_0_3838,
[final] ).
cnf(c_0_5136,plain,
( is_fun_pname_bool(cOMBK_bool_pname(X1))
| ~ is_bool(X1) ),
c_0_3839,
[final] ).
cnf(c_0_5137,plain,
hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)) = bot_bo1055319631e_bool,
c_0_3840,
[final] ).
cnf(c_0_5138,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)) = bot_bo1325454745l_bool,
c_0_3841,
[final] ).
cnf(c_0_5139,plain,
hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)) = bot_bo1649642514l_bool,
c_0_3842,
[final] ).
cnf(c_0_5140,plain,
hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)) = bot_bo844097828e_bool,
c_0_3843,
[final] ).
cnf(c_0_5141,plain,
( X1 = X2
| some_com(X1) != some_com(X2) ),
c_0_3844,
[final] ).
cnf(c_0_5142,plain,
hAPP_f1970439265l_bool(collec111528142e_bool,X1) = X1,
c_0_3845,
[final] ).
cnf(c_0_5143,plain,
hAPP_f921536533e_bool(collec727977250_state,X1) = X1,
c_0_3846,
[final] ).
cnf(c_0_5144,plain,
( esk97_1(X1) != X1
| ~ hBOOL(hoare_298929751gleton) ),
c_0_3847,
[final] ).
cnf(c_0_5145,plain,
( some_com(X1) = some_com(X2)
| X1 != X2 ),
c_0_3848,
[final] ).
cnf(c_0_5146,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
c_0_3849,
[final] ).
cnf(c_0_5147,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
c_0_3850,
[final] ).
cnf(c_0_5148,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
c_0_3851,
[final] ).
cnf(c_0_5149,plain,
is_pname(undefined_pname(pname)),
c_0_3852,
[final] ).
cnf(c_0_5150,plain,
( esk99_0 != esk98_0
| ~ hBOOL(hoare_298929751gleton) ),
c_0_3853,
[final] ).
cnf(c_0_5151,plain,
( hBOOL(hoare_298929751gleton)
| X1 = X2 ),
c_0_3854,
[final] ).
cnf(c_0_5152,plain,
~ hBOOL(fFalse),
c_0_3855,
[final] ).
cnf(c_0_5153,plain,
is_bool(fTrue),
c_0_3856,
[final] ).
cnf(c_0_5154,plain,
is_bool(fFalse),
c_0_3857,
[final] ).
cnf(c_0_5155,plain,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
c_0_3858,
[final] ).
cnf(c_0_5156,plain,
is_fun_pname_bool(bot_bo844097828e_bool),
c_0_3859,
[final] ).
cnf(c_0_5157,plain,
is_bool(bot_bot_bool),
c_0_3860,
[final] ).
cnf(c_0_5158,plain,
is_fun1661590463l_bool(finite_finite_pname),
c_0_3861,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_3862_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3862_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3862_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3862_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X3,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X5,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3863_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3863_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3863_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3863_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X6,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_pname_com(X4,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))),hAPP_p1637813682e_bool(X7,sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1)))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3864_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3864_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3864_2,axiom,
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3865_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sk1_esk86_4(X1,X3,X4,X2)))),X3),cOMBK_631994958_state(hAPP_s1806633685e_bool(X4,sk1_esk85_4(X1,X3,X4,X2))))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3865]) ).
cnf(c_0_3865_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,cOMBK_631994958_state(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sk1_esk86_4(X1,X3,X4,X2)))),X3),cOMBK_631994958_state(hAPP_s1806633685e_bool(X4,sk1_esk85_4(X1,X3,X4,X2))))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3865]) ).
cnf(c_0_3866_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3866_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1935169308e_bool(cOMBB_1036740637_state(cOMBB_1911358915_state(fAll_state)),hAPP_f249262236e_bool(cOMBB_1476898461_state(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fimplies)),evalc(X2))))),fequal_state))),X2),fequal_state)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3867_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X6,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk93_6(X6,X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3867_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X6,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk93_6(X6,X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3867_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X6,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk93_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3868_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| is_pname(sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3868_1,axiom,
( is_pname(sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3868_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3868_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X6)),X4)),X7)),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk84_7(X3,X5,X2,X6,X4,X7,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X3)),X4)),X5)),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3869_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk92_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3869]) ).
cnf(c_0_3869_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk92_6(X6,X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3869]) ).
cnf(c_0_3869_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk91_6(X6,X5,X1,X2,X3,X4)),sk1_esk92_6(X6,X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3869]) ).
cnf(c_0_3870_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),sk1_esk93_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),sk1_esk92_6(X6,X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3870_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),sk1_esk93_6(X6,X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),sk1_esk92_6(X6,X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3870_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),sk1_esk93_6(X6,X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),sk1_esk92_6(X6,X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3870_3,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,X7),sk1_esk92_6(X6,X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,X7),sk1_esk93_6(X6,X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X6)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3871_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3871]) ).
cnf(c_0_3871_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3871]) ).
cnf(c_0_3872_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3872]) ).
cnf(c_0_3872_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X3)),X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X3)),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3872]) ).
cnf(c_0_3873_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X2,X3)),hAPP_pname_com(body_1,X3)),hAPP_p1637813682e_bool(X4,X3))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X5))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X4)),X5))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X4)),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_3873]) ).
cnf(c_0_3873_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X5))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X2,X3)),hAPP_pname_com(body_1,X3)),hAPP_p1637813682e_bool(X4,X3))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X4)),X5))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X4)),X5))) ),
inference(literals_permutation,[status(thm)],[c_0_3873]) ).
cnf(c_0_3873_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),body_1)),X4)),X5))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,hAPP_f950918952_state(cOMBB_2123334001_pname(hoare_1575745797_state),X2)),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X4)),X5)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X5))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_p1637813682e_bool(X2,X3)),hAPP_pname_com(body_1,X3)),hAPP_p1637813682e_bool(X4,X3))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3873]) ).
cnf(c_0_3875_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X4),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3875]) ).
cnf(c_0_3875_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3875]) ).
cnf(c_0_3876_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3876]) ).
cnf(c_0_3876_1,axiom,
( hBOOL(X3)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,hAPP_f873506917e_bool(cOMBB_1757942702_state(cOMBC_231445413l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),X3)),X4),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3876]) ).
cnf(c_0_3877_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3877_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3877_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3878_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3878_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3878_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3879_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3879_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3879_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X4,sk1_esk89_5(X5,X1,X2,X3,X4)),sk1_esk90_5(X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3880_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3880]) ).
cnf(c_0_3880_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3880]) ).
cnf(c_0_3880_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X5,sk1_esk87_5(X5,X1,X2,X3,X4)),sk1_esk88_5(X5,X1,X2,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X5),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3880]) ).
cnf(c_0_3881_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3881]) ).
cnf(c_0_3881_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3881]) ).
cnf(c_0_3882_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,sk1_esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,sk1_esk148_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3882_1,axiom,
( X1 != hAPP_f921536533e_bool(X2,X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,sk1_esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,sk1_esk148_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3882_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| X1 != hAPP_f921536533e_bool(X2,X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,sk1_esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,sk1_esk148_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3882_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,sk1_esk149_4(X4,X1,X2,X3))),hAPP_f921536533e_bool(X2,sk1_esk148_4(X4,X1,X2,X3))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| X1 != hAPP_f921536533e_bool(X2,X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3883_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,sk1_esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,sk1_esk146_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3883_1,axiom,
( X1 != hAPP_f759274231e_bool(X2,X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,sk1_esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,sk1_esk146_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3883_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,sk1_esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,sk1_esk146_4(X4,X1,X2,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3883_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,sk1_esk147_4(X4,X1,X2,X3))),hAPP_f759274231e_bool(X2,sk1_esk146_4(X4,X1,X2,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3884_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,sk1_esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,sk1_esk152_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3884_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,sk1_esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,sk1_esk152_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3884_2,axiom,
( hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,sk1_esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,sk1_esk152_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3884_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X3,sk1_esk153_4(X3,X4,X1,X2))),hAPP_f921536533e_bool(X3,sk1_esk152_4(X3,X4,X1,X2))))
| hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3885_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,sk1_esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,sk1_esk150_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3885_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,sk1_esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,sk1_esk150_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3885_2,axiom,
( hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,sk1_esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,sk1_esk150_4(X3,X4,X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3885_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X3,sk1_esk151_4(X3,X4,X1,X2))),hAPP_f759274231e_bool(X3,sk1_esk150_4(X3,X4,X1,X2))))
| hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3886_0,axiom,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_1,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_2,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_3,axiom,
( ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_5,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X2,hAPP_pname_pname(X4,sk1_esk116_4(X1,X4,X2,X3))),hAPP_pname_pname(X4,sk1_esk117_4(X1,X4,X2,X3))) != hAPP_pname_pname(X4,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk116_4(X1,X4,X2,X3)),sk1_esk117_4(X1,X4,X2,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3887_0,axiom,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_1,axiom,
( X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_3,axiom,
( ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_5,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,hAPP_f759274231e_bool(X4,sk1_esk112_4(X1,X4,X2,X3))),hAPP_f759274231e_bool(X4,sk1_esk113_4(X1,X4,X2,X3))) != hAPP_f759274231e_bool(X4,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk112_4(X1,X4,X2,X3)),sk1_esk113_4(X1,X4,X2,X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3888_0,axiom,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,sk1_esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,sk1_esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,sk1_esk118_4(X3,X1,X4,X2)),sk1_esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3888]) ).
cnf(c_0_3888_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,sk1_esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,sk1_esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,sk1_esk118_4(X3,X1,X4,X2)),sk1_esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3888]) ).
cnf(c_0_3888_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3))
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,sk1_esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,sk1_esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,sk1_esk118_4(X3,X1,X4,X2)),sk1_esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3888]) ).
cnf(c_0_3888_3,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,sk1_esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,sk1_esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,sk1_esk118_4(X3,X1,X4,X2)),sk1_esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3))
| ~ hBOOL(finite506823037_state(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3888]) ).
cnf(c_0_3888_4,axiom,
( ~ hBOOL(finite506823037_state(X4,X2))
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_H563960305_state(X1,sk1_esk118_4(X3,X1,X4,X2))),hAPP_H563960305_state(X1,sk1_esk119_4(X3,X1,X4,X2))) != hAPP_H563960305_state(X1,hAPP_H563960305_state(hAPP_H521649881_state(X4,sk1_esk118_4(X3,X1,X4,X2)),sk1_esk119_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(image_650584225_state(X1),X3)) = hAPP_H563960305_state(X1,hAPP_f2143211163_state(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3888]) ).
cnf(c_0_3889_0,axiom,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,sk1_esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,sk1_esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,sk1_esk114_4(X3,X1,X4,X2)),sk1_esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,sk1_esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,sk1_esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,sk1_esk114_4(X3,X1,X4,X2)),sk1_esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,sk1_esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,sk1_esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,sk1_esk114_4(X3,X1,X4,X2)),sk1_esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_3,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,sk1_esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,sk1_esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,sk1_esk114_4(X3,X1,X4,X2)),sk1_esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3))
| ~ hBOOL(finite959343283e_bool(X4,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_4,axiom,
( ~ hBOOL(finite959343283e_bool(X4,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f921536533e_bool(X1,sk1_esk114_4(X3,X1,X4,X2))),hAPP_f921536533e_bool(X1,sk1_esk115_4(X3,X1,X4,X2))) != hAPP_f921536533e_bool(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,sk1_esk114_4(X3,X1,X4,X2)),sk1_esk115_4(X3,X1,X4,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(image_505022149e_bool(X1),X3)) = hAPP_f921536533e_bool(X1,hAPP_f772567431e_bool(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3890_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_3,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,sk1_esk124_3(X1,X2,X3)),sk1_esk125_3(X1,X2,X3))),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk124_3(X1,X2,X3)),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk125_3(X1,X2,X3)),bot_bo1649642514l_bool))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3891_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_3,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool)))) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(hAPP_p1170154830_pname(X2,sk1_esk120_3(X1,X2,X3)),sk1_esk121_3(X1,X2,X3))),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk120_3(X1,X2,X3)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk121_3(X1,X2,X3)),bot_bo844097828e_bool))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3892_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,sk1_esk126_3(X2,X3,X1)),sk1_esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_1,axiom,
( X2 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,sk1_esk126_3(X2,X3,X1)),sk1_esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,sk1_esk126_3(X2,X3,X1)),sk1_esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| X2 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,sk1_esk126_3(X2,X3,X1)),sk1_esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| X2 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2))
| ~ hBOOL(finite132673334e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_4,axiom,
( ~ hBOOL(finite132673334e_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X3,sk1_esk126_3(X2,X3,X1)),sk1_esk127_3(X2,X3,X1))),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk126_3(X2,X3,X1)),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk127_3(X2,X3,X1)),bot_bo1325454745l_bool))))
| X2 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,hAPP_f772567431e_bool(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3893_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,sk1_esk122_3(X2,X3,X1)),sk1_esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_1,axiom,
( X2 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,sk1_esk122_3(X2,X3,X1)),sk1_esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,sk1_esk122_3(X2,X3,X1)),sk1_esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| X2 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,sk1_esk122_3(X2,X3,X1)),sk1_esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| X2 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2))
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_4,axiom,
( ~ hBOOL(finite774711482_state(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_H563960305_state(hAPP_H521649881_state(X3,sk1_esk122_3(X2,X3,X1)),sk1_esk123_3(X2,X3,X1))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk122_3(X2,X3,X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk123_3(X2,X3,X1)),bot_bo1055319631e_bool))))
| X2 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_f2143211163_state(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3894_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X2)),hAPP_p1842370726_state(X2,sk1_esk68_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3894]) ).
cnf(c_0_3894_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X2)),hAPP_p1842370726_state(X2,sk1_esk68_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3894]) ).
cnf(c_0_3894_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,hAPP_f998786331e_bool(cOMBB_799949246_pname(fequal1531560888_state),X2)),hAPP_p1842370726_state(X2,sk1_esk68_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3894]) ).
cnf(c_0_3895_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X2)),hAPP_H1645666623e_bool(X2,sk1_esk67_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3895]) ).
cnf(c_0_3895_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X2)),hAPP_H1645666623e_bool(X2,sk1_esk67_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3895]) ).
cnf(c_0_3895_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,hAPP_f1862834069l_bool(cOMBB_1239130257_state(fequal1746921144e_bool),X2)),hAPP_H1645666623e_bool(X2,sk1_esk67_2(X2,X1)))))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3895]) ).
cnf(c_0_3896_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X2)),hAPP_H1632039476e_bool(X2,sk1_esk66_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3896]) ).
cnf(c_0_3896_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X2)),hAPP_H1632039476e_bool(X2,sk1_esk66_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3896]) ).
cnf(c_0_3896_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,hAPP_f376825399l_bool(cOMBB_1722165949_state(fequal533582459e_bool),X2)),hAPP_H1632039476e_bool(X2,sk1_esk66_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3896]) ).
cnf(c_0_3897_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X2)),hAPP_f1008690464_pname(X2,sk1_esk65_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3897]) ).
cnf(c_0_3897_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X2)),hAPP_f1008690464_pname(X2,sk1_esk65_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3897]) ).
cnf(c_0_3897_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(fequal_pname),X2)),hAPP_f1008690464_pname(X2,sk1_esk65_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3897]) ).
cnf(c_0_3898_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X2)),hAPP_f1297739591_pname(X2,sk1_esk64_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3898]) ).
cnf(c_0_3898_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X2)),hAPP_f1297739591_pname(X2,sk1_esk64_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3898]) ).
cnf(c_0_3898_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,hAPP_f1385420507e_bool(cOMBB_598082538e_bool(fequal_pname),X2)),hAPP_f1297739591_pname(X2,sk1_esk64_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3898]) ).
cnf(c_0_3899_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X2)),hAPP_H1344248906_pname(X2,sk1_esk63_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3899_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X2)),hAPP_H1344248906_pname(X2,sk1_esk63_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3899_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,hAPP_f833390165e_bool(cOMBB_1456120487_state(fequal_pname),X2)),hAPP_H1344248906_pname(X2,sk1_esk63_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3900_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X2)),hAPP_pname_pname(X2,sk1_esk62_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3900_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X2)),hAPP_pname_pname(X2,sk1_esk62_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3900_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,hAPP_f1336811455e_bool(cOMBB_542850580_pname(fequal_pname),X2)),hAPP_pname_pname(X2,sk1_esk62_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3901_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X2)),hAPP_f2143211163_state(X2,sk1_esk61_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3901_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X2)),hAPP_f2143211163_state(X2,sk1_esk61_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3901_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,hAPP_f481659057e_bool(cOMBB_1099197107e_bool(fequal1531560888_state),X2)),hAPP_f2143211163_state(X2,sk1_esk61_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3902_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X2)),hAPP_f1308959284_state(X2,sk1_esk60_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3902]) ).
cnf(c_0_3902_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X2)),hAPP_f1308959284_state(X2,sk1_esk60_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3902]) ).
cnf(c_0_3902_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,hAPP_f547518321e_bool(cOMBB_1170234304e_bool(fequal1531560888_state),X2)),hAPP_f1308959284_state(X2,sk1_esk60_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3902]) ).
cnf(c_0_3903_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X2)),hAPP_H563960305_state(X2,sk1_esk59_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3903]) ).
cnf(c_0_3903_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X2)),hAPP_H563960305_state(X2,sk1_esk59_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3903]) ).
cnf(c_0_3903_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,hAPP_f1844318385e_bool(cOMBB_291471741_state(fequal1531560888_state),X2)),hAPP_H563960305_state(X2,sk1_esk59_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3903]) ).
cnf(c_0_3904_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X2)),hAPP_p877885514e_bool(X2,sk1_esk58_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3904]) ).
cnf(c_0_3904_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X2)),hAPP_p877885514e_bool(X2,sk1_esk58_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3904]) ).
cnf(c_0_3904_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,hAPP_f2081555625l_bool(cOMBB_44445098_pname(fequal1746921144e_bool),X2)),hAPP_p877885514e_bool(X2,sk1_esk58_2(X2,X1)))))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3904]) ).
cnf(c_0_3905_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X2)),hAPP_p61793385e_bool(X2,sk1_esk57_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3905]) ).
cnf(c_0_3905_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X2)),hAPP_p61793385e_bool(X2,sk1_esk57_2(X2,X1))))))) ),
inference(literals_permutation,[status(thm)],[c_0_3905]) ).
cnf(c_0_3905_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,hAPP_f567934427l_bool(cOMBB_408569982_pname(fequal533582459e_bool),X2)),hAPP_p61793385e_bool(X2,sk1_esk57_2(X2,X1)))))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3905]) ).
cnf(c_0_3906_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3906]) ).
cnf(c_0_3906_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X3))),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),hAPP_pname_com(body_1,X3)),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3906]) ).
cnf(c_0_3907_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),semi(X3,X4)),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X6),X4),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X6)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3907]) ).
cnf(c_0_3907_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X6),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),semi(X3,X4)),X5)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X6)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3907]) ).
cnf(c_0_3907_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X6)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X6),X4),X5)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),semi(X3,X4)),X5)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3907]) ).
cnf(c_0_3908_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3908]) ).
cnf(c_0_3908_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),X1)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X2)))),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X2))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3908]) ).
cnf(c_0_3909_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,sk1_esk85_4(X1,X3,X4,X2)),sk1_esk86_4(X1,X3,X4,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3909]) ).
cnf(c_0_3909_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(X2,sk1_esk85_4(X1,X3,X4,X2)),sk1_esk86_4(X1,X3,X4,X2)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),X3),X4)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3909]) ).
cnf(c_0_3910_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3910_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3910_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3911_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3911_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3911_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3912_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk149_4(X4,X1,X2,X3)),sk1_esk148_4(X4,X1,X2,X3)))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3912_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk149_4(X4,X1,X2,X3)),sk1_esk148_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| X1 != hAPP_f921536533e_bool(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3912_2,axiom,
( X1 != hAPP_f921536533e_bool(X2,X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk149_4(X4,X1,X2,X3)),sk1_esk148_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3912_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| X1 != hAPP_f921536533e_bool(X2,X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk149_4(X4,X1,X2,X3)),sk1_esk148_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3913_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk147_4(X4,X1,X2,X3)),sk1_esk146_4(X4,X1,X2,X3)))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3913_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk147_4(X4,X1,X2,X3)),sk1_esk146_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3913_2,axiom,
( X1 != hAPP_f759274231e_bool(X2,X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk147_4(X4,X1,X2,X3)),sk1_esk146_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3913_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk147_4(X4,X1,X2,X3)),sk1_esk146_4(X4,X1,X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3914_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk153_4(X3,X4,X1,X2)),sk1_esk152_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3914_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk153_4(X3,X4,X1,X2)),sk1_esk152_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3914_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk153_4(X3,X4,X1,X2)),sk1_esk152_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2)))
| hAPP_f921536533e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3914_3,axiom,
( hAPP_f921536533e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk153_4(X3,X4,X1,X2)),sk1_esk152_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),hAPP_f921536533e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3915_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk151_4(X3,X4,X1,X2)),sk1_esk150_4(X3,X4,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3915_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk151_4(X3,X4,X1,X2)),sk1_esk150_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3915_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk151_4(X3,X4,X1,X2)),sk1_esk150_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3915_3,axiom,
( hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk151_4(X3,X4,X1,X2)),sk1_esk150_4(X3,X4,X1,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3916_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk161_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3916]) ).
cnf(c_0_3916_1,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk161_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3916]) ).
cnf(c_0_3916_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk161_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3916]) ).
cnf(c_0_3917_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk160_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3917]) ).
cnf(c_0_3917_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk160_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3917]) ).
cnf(c_0_3917_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk160_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3917]) ).
cnf(c_0_3918_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk159_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3918]) ).
cnf(c_0_3918_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk159_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3918]) ).
cnf(c_0_3918_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk159_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3918]) ).
cnf(c_0_3919_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk158_4(X4,X3,X1,X2)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3919]) ).
cnf(c_0_3919_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk158_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3919]) ).
cnf(c_0_3919_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk158_4(X4,X3,X1,X2)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3919]) ).
cnf(c_0_3921_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk16_2(X2,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3921_1,axiom,
( ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk16_2(X2,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3921_2,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk16_2(X2,X1)))),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3921_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,sk1_esk16_2(X2,X1)))),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3922_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3922_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3922_2,axiom,
( ~ hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3923_0,axiom,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3923_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4))
| X4 = X3
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3923_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),sk1_esk145_4(X1,X2,X3,X4)),X4))
| X4 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3924_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),sk1_esk144_4(X1,X2,X3,X4)),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3924]) ).
cnf(c_0_3924_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),sk1_esk144_4(X1,X2,X3,X4)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3924]) ).
cnf(c_0_3925_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3925]) ).
cnf(c_0_3925_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3925]) ).
cnf(c_0_3925_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3925]) ).
cnf(c_0_3925_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3925]) ).
cnf(c_0_3925_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3925]) ).
cnf(c_0_3926_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3926]) ).
cnf(c_0_3926_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3926]) ).
cnf(c_0_3926_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3926]) ).
cnf(c_0_3926_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3926]) ).
cnf(c_0_3926_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3926]) ).
cnf(c_0_3927_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3927]) ).
cnf(c_0_3927_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3927]) ).
cnf(c_0_3927_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3927]) ).
cnf(c_0_3927_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3927]) ).
cnf(c_0_3927_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1))))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3927]) ).
cnf(c_0_3928_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3928]) ).
cnf(c_0_3928_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3928]) ).
cnf(c_0_3928_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3928]) ).
cnf(c_0_3928_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3928]) ).
cnf(c_0_3928_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3928]) ).
cnf(c_0_3931_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X4,sk1_esk161_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3931]) ).
cnf(c_0_3931_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(X4,sk1_esk161_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3931]) ).
cnf(c_0_3931_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X4,sk1_esk161_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3931]) ).
cnf(c_0_3932_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X4,sk1_esk160_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3932]) ).
cnf(c_0_3932_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(X4,sk1_esk160_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3932]) ).
cnf(c_0_3932_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X4,sk1_esk160_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3932]) ).
cnf(c_0_3933_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X4,sk1_esk159_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3933]) ).
cnf(c_0_3933_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_H513860823e_bool(X4,sk1_esk159_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3933]) ).
cnf(c_0_3933_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X4,sk1_esk159_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3933]) ).
cnf(c_0_3934_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X4,sk1_esk158_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3934]) ).
cnf(c_0_3934_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_pname_bool(X4,sk1_esk158_4(X4,X3,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3934]) ).
cnf(c_0_3934_2,axiom,
( ~ hBOOL(hAPP_pname_bool(X4,sk1_esk158_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3934]) ).
cnf(c_0_3936_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk131_4(X3,X4,X1,X2)),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3936_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk131_4(X3,X4,X1,X2)),X2))
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3936_2,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk131_4(X3,X4,X1,X2)),X2))
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3939_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk161_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3939]) ).
cnf(c_0_3939_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk161_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3939]) ).
cnf(c_0_3939_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk161_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X3))),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3939]) ).
cnf(c_0_3940_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk160_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3940_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk160_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3940_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk160_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3941_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| hBOOL(hAPP_H513860823e_bool(X3,sk1_esk159_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3941]) ).
cnf(c_0_3941_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X3,sk1_esk159_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3941]) ).
cnf(c_0_3941_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_H513860823e_bool(X3,sk1_esk159_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(collec727977250_state,X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3941]) ).
cnf(c_0_3942_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| hBOOL(hAPP_pname_bool(X3,sk1_esk158_4(X4,X3,X1,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3942]) ).
cnf(c_0_3942_1,axiom,
( hBOOL(hAPP_pname_bool(X3,sk1_esk158_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3942]) ).
cnf(c_0_3942_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_pname_bool(X3,sk1_esk158_4(X4,X3,X1,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3942]) ).
cnf(c_0_3943_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,sk1_esk71_3(X1,X3,X2))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3943]) ).
cnf(c_0_3943_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,sk1_esk71_3(X1,X3,X2))),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3943]) ).
cnf(c_0_3944_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,sk1_esk70_3(X1,X3,X2))),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3944]) ).
cnf(c_0_3944_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,sk1_esk70_3(X1,X3,X2))),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3944]) ).
cnf(c_0_3945_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3945]) ).
cnf(c_0_3945_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3945]) ).
cnf(c_0_3946_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3946]) ).
cnf(c_0_3946_1,axiom,
( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3946]) ).
cnf(c_0_3947_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3947]) ).
cnf(c_0_3947_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X3)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3947]) ).
cnf(c_0_3948_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3948]) ).
cnf(c_0_3948_1,axiom,
( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X3)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_3948]) ).
cnf(c_0_3949_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| X1 != X2
| hAPP_p1842370726_state(X3,sk1_esk131_4(X3,X4,X1,X2)) != hAPP_p1842370726_state(X4,sk1_esk131_4(X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3949]) ).
cnf(c_0_3949_1,axiom,
( X1 != X2
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| hAPP_p1842370726_state(X3,sk1_esk131_4(X3,X4,X1,X2)) != hAPP_p1842370726_state(X4,sk1_esk131_4(X3,X4,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3949]) ).
cnf(c_0_3949_2,axiom,
( hAPP_p1842370726_state(X3,sk1_esk131_4(X3,X4,X1,X2)) != hAPP_p1842370726_state(X4,sk1_esk131_4(X3,X4,X1,X2))
| X1 != X2
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3949]) ).
cnf(c_0_3950_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3950]) ).
cnf(c_0_3950_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3950]) ).
cnf(c_0_3950_2,axiom,
( ~ hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3950]) ).
cnf(c_0_3951_0,axiom,
( X4 = X3
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3951_1,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4)))
| X4 = X3
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3951_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),sk1_esk145_4(X1,X2,X3,X4)))
| X4 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3952_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),sk1_esk144_4(X1,X2,X3,X4)))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3952_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),sk1_esk144_4(X1,X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3959_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3959]) ).
cnf(c_0_3959_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3959]) ).
cnf(c_0_3960_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3960]) ).
cnf(c_0_3960_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3960]) ).
cnf(c_0_3961_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3961]) ).
cnf(c_0_3961_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3961]) ).
cnf(c_0_3962_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3962]) ).
cnf(c_0_3962_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3962]) ).
cnf(c_0_3963_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3963]) ).
cnf(c_0_3963_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3963]) ).
cnf(c_0_3964_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3964]) ).
cnf(c_0_3964_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3964]) ).
cnf(c_0_3965_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3965]) ).
cnf(c_0_3965_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3965]) ).
cnf(c_0_3966_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3966]) ).
cnf(c_0_3966_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3966]) ).
cnf(c_0_3967_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3967_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3967_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3967_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3967_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3967_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_3967]) ).
cnf(c_0_3968_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3968_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3968_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3968_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3968_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3968_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_3968]) ).
cnf(c_0_3969_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3969]) ).
cnf(c_0_3969_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3969]) ).
cnf(c_0_3969_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3969]) ).
cnf(c_0_3969_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3969]) ).
cnf(c_0_3969_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1))))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_3969]) ).
cnf(c_0_3970_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3970]) ).
cnf(c_0_3970_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3970]) ).
cnf(c_0_3970_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3970]) ).
cnf(c_0_3970_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_3970]) ).
cnf(c_0_3970_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_3970]) ).
cnf(c_0_3972_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3972_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3972_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3972_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3973_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| is_fun_pname_bool(sk1_esk160_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3973_1,axiom,
( is_fun_pname_bool(sk1_esk160_4(X4,X3,X1,X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3973_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| is_fun_pname_bool(sk1_esk160_4(X4,X3,X1,X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X3))),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3974_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| is_pname(sk1_esk158_4(X4,X3,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3974_1,axiom,
( is_pname(sk1_esk158_4(X4,X3,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3974_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(sk1_esk158_4(X4,X3,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(collect_pname,X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3975_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3975_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3975_2,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3975_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3976_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3976_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3976_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3976_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3976_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),sk1_esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3977_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),sk1_esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3978_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),sk1_esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3979_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),sk1_esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3980_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3980]) ).
cnf(c_0_3980_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3980]) ).
cnf(c_0_3981_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3981]) ).
cnf(c_0_3981_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3981]) ).
cnf(c_0_3982_0,axiom,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3982]) ).
cnf(c_0_3982_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3982]) ).
cnf(c_0_3983_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3983_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3984_0,axiom,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3984_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3985_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_3,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk77_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3986_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_3,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk78_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3987_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_3,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk78_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk77_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3988_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk79_3(X1,X3,X4)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3989_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk80_3(X1,X3,X4)),X4))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3990_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3990]) ).
cnf(c_0_3990_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_pname_com(body_1,X1)),X2),X3))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3990]) ).
cnf(c_0_3991_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3991_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3991_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3992_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3992_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3992_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3993_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3993_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3993_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3994_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3994_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3994_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3995_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3996_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3997_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3997]) ).
cnf(c_0_3997_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3997]) ).
cnf(c_0_3997_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3997]) ).
cnf(c_0_3997_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3997]) ).
cnf(c_0_3997_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk110_2(X2,X1)),sk1_esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_3997]) ).
cnf(c_0_3998_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3998]) ).
cnf(c_0_3998_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3998]) ).
cnf(c_0_3998_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3998]) ).
cnf(c_0_3998_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_3998]) ).
cnf(c_0_3998_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk104_2(X2,X1)),sk1_esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_3998]) ).
cnf(c_0_3999_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3999]) ).
cnf(c_0_3999_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3999]) ).
cnf(c_0_3999_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3999]) ).
cnf(c_0_3999_3,axiom,
( ~ hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X3),X5))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X5),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_3999]) ).
cnf(c_0_4000_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4000]) ).
cnf(c_0_4000_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4000]) ).
cnf(c_0_4001_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4001]) ).
cnf(c_0_4001_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4001]) ).
cnf(c_0_4002_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4002]) ).
cnf(c_0_4002_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4002]) ).
cnf(c_0_4003_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4003]) ).
cnf(c_0_4003_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4003]) ).
cnf(c_0_4004_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4004]) ).
cnf(c_0_4004_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4004]) ).
cnf(c_0_4005_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4005]) ).
cnf(c_0_4005_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4005]) ).
cnf(c_0_4006_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4006]) ).
cnf(c_0_4006_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4006]) ).
cnf(c_0_4007_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4007]) ).
cnf(c_0_4007_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4007]) ).
cnf(c_0_4008_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,sk1_esk95_2(X1,X2))),hAPP_H513860823e_bool(X2,sk1_esk95_2(X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4008]) ).
cnf(c_0_4008_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,sk1_esk95_2(X1,X2))),hAPP_H513860823e_bool(X2,sk1_esk95_2(X1,X2))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4008]) ).
cnf(c_0_4009_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,sk1_esk94_2(X1,X2))),hAPP_pname_bool(X2,sk1_esk94_2(X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4009]) ).
cnf(c_0_4009_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,sk1_esk94_2(X1,X2))),hAPP_pname_bool(X2,sk1_esk94_2(X1,X2))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4009]) ).
cnf(c_0_4010_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,sk1_esk83_2(X1,X2))),hAPP_H513860823e_bool(X2,sk1_esk83_2(X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4010]) ).
cnf(c_0_4010_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,sk1_esk83_2(X1,X2))),hAPP_H513860823e_bool(X2,sk1_esk83_2(X1,X2))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4010]) ).
cnf(c_0_4011_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,sk1_esk82_2(X1,X2))),hAPP_pname_bool(X2,sk1_esk82_2(X1,X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_4011]) ).
cnf(c_0_4011_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,sk1_esk82_2(X1,X2))),hAPP_pname_bool(X2,sk1_esk82_2(X1,X2))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4011]) ).
cnf(c_0_4028_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4028_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4028_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4028_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk80_3(X1,X3,X4)))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk79_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4029_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4029_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4029_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4029_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4030_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4030_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4030_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4030_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4031_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4031_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4031_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4031_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1))))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4032_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4032_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4032_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4032_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4033_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4034_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_3,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4035_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),sk1_esk166_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),sk1_esk167_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk166_0),sk1_esk167_0)) ),
inference(literals_permutation,[status(thm)],[c_0_4035]) ).
cnf(c_0_4035_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),sk1_esk166_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),sk1_esk167_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk165_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk166_0),sk1_esk167_0))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4035]) ).
cnf(c_0_4036_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),sk1_esk163_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),sk1_esk164_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk163_0),sk1_esk164_0)) ),
inference(literals_permutation,[status(thm)],[c_0_4036]) ).
cnf(c_0_4036_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),sk1_esk163_0)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),sk1_esk164_0)) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,sk1_esk162_0),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,sk1_esk163_0),sk1_esk164_0))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4036]) ).
cnf(c_0_4037_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4037]) ).
cnf(c_0_4037_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4037]) ).
cnf(c_0_4037_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4037]) ).
cnf(c_0_4037_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4))
| ~ hBOOL(finite774711482_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4037]) ).
cnf(c_0_4037_4,axiom,
( ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) = hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4037]) ).
cnf(c_0_4038_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4038]) ).
cnf(c_0_4038_1,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4038]) ).
cnf(c_0_4038_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4038]) ).
cnf(c_0_4038_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4))
| ~ hBOOL(finite1282449217_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4038]) ).
cnf(c_0_4038_4,axiom,
( ~ hBOOL(finite1282449217_pname(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))),hAPP_f1297739591_pname(X2,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) = hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4038]) ).
cnf(c_0_4039_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4039]) ).
cnf(c_0_4039_1,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4039]) ).
cnf(c_0_4039_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4039]) ).
cnf(c_0_4039_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4))
| ~ hBOOL(finite132673334e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4039]) ).
cnf(c_0_4039_4,axiom,
( ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X3),X4))),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X3),X4))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4039]) ).
cnf(c_0_4040_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_1,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4))
| ~ hBOOL(finite1626890877e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_4,axiom,
( ~ hBOOL(finite1626890877e_bool(X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X3),X4))),hAPP_f674760225e_bool(X2,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X3),X4))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4041_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_1,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_2,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_3,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4042_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_1,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_2,axiom,
( ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_3,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4043_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(sk1_esk146_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4043_1,axiom,
( is_fun_pname_bool(sk1_esk146_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4043_2,axiom,
( X1 != hAPP_f759274231e_bool(X2,X3)
| is_fun_pname_bool(sk1_esk146_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4043_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| is_fun_pname_bool(sk1_esk146_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4044_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| is_fun_pname_bool(sk1_esk147_4(X4,X1,X2,X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4044_1,axiom,
( is_fun_pname_bool(sk1_esk147_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| X1 != hAPP_f759274231e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4044_2,axiom,
( X1 != hAPP_f759274231e_bool(X2,X3)
| is_fun_pname_bool(sk1_esk147_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4044_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f759274231e_bool(X2,X3)
| is_fun_pname_bool(sk1_esk147_4(X4,X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(X2,X4)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4045_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4045]) ).
cnf(c_0_4045_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X1))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4045]) ).
cnf(c_0_4046_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4046]) ).
cnf(c_0_4046_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4046]) ).
cnf(c_0_4047_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4047]) ).
cnf(c_0_4047_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4047]) ).
cnf(c_0_4048_0,axiom,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4048]) ).
cnf(c_0_4048_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X2,X1))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4048]) ).
cnf(c_0_4049_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3)
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4049]) ).
cnf(c_0_4049_1,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3)
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4049]) ).
cnf(c_0_4049_2,axiom,
( ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3)
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4049]) ).
cnf(c_0_4049_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3)
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4049]) ).
cnf(c_0_4049_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4049]) ).
cnf(c_0_4050_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3)
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4050]) ).
cnf(c_0_4050_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3)
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4050]) ).
cnf(c_0_4050_2,axiom,
( ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4050]) ).
cnf(c_0_4050_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4050]) ).
cnf(c_0_4050_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_4050]) ).
cnf(c_0_4051_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4051]) ).
cnf(c_0_4051_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4051]) ).
cnf(c_0_4052_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4052]) ).
cnf(c_0_4052_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4052]) ).
cnf(c_0_4053_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X3,X4)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4053]) ).
cnf(c_0_4053_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X3,X4)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4053]) ).
cnf(c_0_4053_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X3,X4)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4053]) ).
cnf(c_0_4054_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X4,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X4),X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4054]) ).
cnf(c_0_4054_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X4,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X4),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4054]) ).
cnf(c_0_4054_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk81_3(X1,X4,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X4),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4054]) ).
cnf(c_0_4055_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4055]) ).
cnf(c_0_4055_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4055]) ).
cnf(c_0_4055_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4055]) ).
cnf(c_0_4056_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4056]) ).
cnf(c_0_4056_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4056]) ).
cnf(c_0_4056_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk76_3(X1,X2,X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4056]) ).
cnf(c_0_4057_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk39_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4057]) ).
cnf(c_0_4057_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk39_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4057]) ).
cnf(c_0_4057_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk39_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4057]) ).
cnf(c_0_4057_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk39_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4057]) ).
cnf(c_0_4058_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk37_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4058]) ).
cnf(c_0_4058_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk37_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4058]) ).
cnf(c_0_4058_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk37_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4058]) ).
cnf(c_0_4058_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk37_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4058]) ).
cnf(c_0_4059_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk36_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4059]) ).
cnf(c_0_4059_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk36_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4059]) ).
cnf(c_0_4059_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk36_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4059]) ).
cnf(c_0_4059_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk36_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4059]) ).
cnf(c_0_4060_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk34_3(X2,X3,X1)),X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4060]) ).
cnf(c_0_4060_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk34_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4060]) ).
cnf(c_0_4060_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk34_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4060]) ).
cnf(c_0_4060_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk34_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4060]) ).
cnf(c_0_4061_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk33_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4061]) ).
cnf(c_0_4061_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk33_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4061]) ).
cnf(c_0_4061_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk33_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4061]) ).
cnf(c_0_4061_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk33_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4061]) ).
cnf(c_0_4062_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk32_3(X2,X3,X1)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4062]) ).
cnf(c_0_4062_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk32_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4062]) ).
cnf(c_0_4062_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk32_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4062]) ).
cnf(c_0_4062_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk32_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4062]) ).
cnf(c_0_4063_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk40_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4063]) ).
cnf(c_0_4063_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk40_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4063]) ).
cnf(c_0_4063_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk40_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4063]) ).
cnf(c_0_4064_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk38_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4064]) ).
cnf(c_0_4064_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk38_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4064]) ).
cnf(c_0_4064_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk38_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4064]) ).
cnf(c_0_4065_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk35_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4065]) ).
cnf(c_0_4065_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk35_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4065]) ).
cnf(c_0_4065_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk35_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4065]) ).
cnf(c_0_4066_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk31_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4066]) ).
cnf(c_0_4066_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk31_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4066]) ).
cnf(c_0_4066_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,sk1_esk31_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4066]) ).
cnf(c_0_4067_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk30_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4067]) ).
cnf(c_0_4067_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk30_3(X2,X3,X1)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4067]) ).
cnf(c_0_4067_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,sk1_esk30_3(X2,X3,X1)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4067]) ).
cnf(c_0_4068_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4068]) ).
cnf(c_0_4068_1,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4068]) ).
cnf(c_0_4068_2,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4068]) ).
cnf(c_0_4068_3,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4068]) ).
cnf(c_0_4068_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X2,X1),hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)))) = hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4068]) ).
cnf(c_0_4069_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4069]) ).
cnf(c_0_4069_1,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4))
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4069]) ).
cnf(c_0_4069_2,axiom,
( ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4069]) ).
cnf(c_0_4069_3,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4069]) ).
cnf(c_0_4069_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X2,X1),hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))) = hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4069]) ).
cnf(c_0_4070_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(sk1_esk150_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4070]) ).
cnf(c_0_4070_1,axiom,
( is_fun_pname_bool(sk1_esk150_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4070]) ).
cnf(c_0_4070_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_fun_pname_bool(sk1_esk150_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4070]) ).
cnf(c_0_4070_3,axiom,
( hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_fun_pname_bool(sk1_esk150_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4070]) ).
cnf(c_0_4071_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| is_fun_pname_bool(sk1_esk151_4(X3,X4,X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4071]) ).
cnf(c_0_4071_1,axiom,
( is_fun_pname_bool(sk1_esk151_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4071]) ).
cnf(c_0_4071_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_fun_pname_bool(sk1_esk151_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2)))
| hAPP_f759274231e_bool(X3,X1) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4071]) ).
cnf(c_0_4071_3,axiom,
( hAPP_f759274231e_bool(X3,X1) != X4
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_fun_pname_bool(sk1_esk151_4(X3,X4,X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),hAPP_f759274231e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4071]) ).
cnf(c_0_4072_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4072]) ).
cnf(c_0_4072_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X2,X1))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2)) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4072]) ).
cnf(c_0_4073_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4073]) ).
cnf(c_0_4073_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2)) = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4073]) ).
cnf(c_0_4074_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4074]) ).
cnf(c_0_4074_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2)) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4074]) ).
cnf(c_0_4075_0,axiom,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4075]) ).
cnf(c_0_4075_1,axiom,
( hBOOL(hAPP_pname_bool(X2,X1))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2)) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4075]) ).
cnf(c_0_4076_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4076]) ).
cnf(c_0_4076_1,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4076]) ).
cnf(c_0_4076_2,axiom,
( ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4076]) ).
cnf(c_0_4076_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X4),hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)))) = hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4076]) ).
cnf(c_0_4077_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4077]) ).
cnf(c_0_4077_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4077]) ).
cnf(c_0_4077_2,axiom,
( ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4077]) ).
cnf(c_0_4077_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X4),hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)))) = hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4077]) ).
cnf(c_0_4078_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4078_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4078_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4078_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4078_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4078_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4078]) ).
cnf(c_0_4079_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4079_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4079_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4079_3,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4079_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4079_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4079]) ).
cnf(c_0_4080_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4080_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4080_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4080_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4080_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4080_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4080]) ).
cnf(c_0_4081_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4081_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4081_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4081_3,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4081_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4081_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4081]) ).
cnf(c_0_4082_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk17_3(X1,X2,X3)),X3))
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4082]) ).
cnf(c_0_4082_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk17_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4082]) ).
cnf(c_0_4082_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_pname(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk17_3(X1,X2,X3)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4082]) ).
cnf(c_0_4083_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk14_3(X1,X2,X3)),X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4083]) ).
cnf(c_0_4083_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk14_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4083]) ).
cnf(c_0_4083_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,sk1_esk14_3(X1,X2,X3)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4083]) ).
cnf(c_0_4084_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4084]) ).
cnf(c_0_4084_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4084]) ).
cnf(c_0_4084_2,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4084]) ).
cnf(c_0_4084_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4084]) ).
cnf(c_0_4084_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4084]) ).
cnf(c_0_4085_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4085]) ).
cnf(c_0_4085_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4085]) ).
cnf(c_0_4085_2,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4085]) ).
cnf(c_0_4085_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4085]) ).
cnf(c_0_4085_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4085]) ).
cnf(c_0_4086_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4086]) ).
cnf(c_0_4086_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4086]) ).
cnf(c_0_4086_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4086]) ).
cnf(c_0_4087_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4087]) ).
cnf(c_0_4087_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4087]) ).
cnf(c_0_4087_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4087]) ).
cnf(c_0_4088_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4088]) ).
cnf(c_0_4088_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4088]) ).
cnf(c_0_4088_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4088]) ).
cnf(c_0_4089_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4089]) ).
cnf(c_0_4089_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4089]) ).
cnf(c_0_4089_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4089]) ).
cnf(c_0_4090_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4090]) ).
cnf(c_0_4090_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4090]) ).
cnf(c_0_4090_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4090]) ).
cnf(c_0_4091_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4091]) ).
cnf(c_0_4091_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4091]) ).
cnf(c_0_4091_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4091]) ).
cnf(c_0_4092_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4092]) ).
cnf(c_0_4092_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4092]) ).
cnf(c_0_4092_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X4))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4092]) ).
cnf(c_0_4093_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4093]) ).
cnf(c_0_4093_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4093]) ).
cnf(c_0_4093_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X4))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4093]) ).
cnf(c_0_4094_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4094_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk111_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4094_2,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4094_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4094_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk111_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4095_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4095]) ).
cnf(c_0_4095_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk105_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4095]) ).
cnf(c_0_4095_2,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4095]) ).
cnf(c_0_4095_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4095]) ).
cnf(c_0_4095_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk105_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4095]) ).
cnf(c_0_4096_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk18_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4096]) ).
cnf(c_0_4096_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk18_3(X1,X2,X3)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4096]) ).
cnf(c_0_4097_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk15_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4097]) ).
cnf(c_0_4097_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,sk1_esk15_3(X1,X2,X3)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4097]) ).
cnf(c_0_4098_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk13_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4098_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk13_3(X1,X2,X3)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4099_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4099_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4099_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4099_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4099_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk25_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4100_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4100]) ).
cnf(c_0_4100_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4100]) ).
cnf(c_0_4100_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4100]) ).
cnf(c_0_4100_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4100]) ).
cnf(c_0_4100_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk23_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4100]) ).
cnf(c_0_4101_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4101]) ).
cnf(c_0_4101_1,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4101]) ).
cnf(c_0_4101_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4101]) ).
cnf(c_0_4101_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4101]) ).
cnf(c_0_4101_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk21_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f239102607l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4101]) ).
cnf(c_0_4102_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4102]) ).
cnf(c_0_4102_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4102]) ).
cnf(c_0_4102_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4102]) ).
cnf(c_0_4102_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4102]) ).
cnf(c_0_4102_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk19_3(X3,X2,X1)),X2))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4102]) ).
cnf(c_0_4103_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk71_3(X1,X3,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4103]) ).
cnf(c_0_4103_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk71_3(X1,X3,X2)),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4103]) ).
cnf(c_0_4104_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk70_3(X1,X3,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4104]) ).
cnf(c_0_4104_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk70_3(X1,X3,X2)),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4104]) ).
cnf(c_0_4105_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4105_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4105_2,axiom,
( is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4105_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4105_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4105_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4105]) ).
cnf(c_0_4106_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4106_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4106_2,axiom,
( is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4106_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4106_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4106_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4106]) ).
cnf(c_0_4107_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4107_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4107_2,axiom,
( is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4107_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4107_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4107_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4107]) ).
cnf(c_0_4108_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4108_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4108_2,axiom,
( is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4108_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4108_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4108_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4108]) ).
cnf(c_0_4109_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4109_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4109_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4109_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4109_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4109_5,axiom,
( sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(X2,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk106_2(X2,X1)),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4109]) ).
cnf(c_0_4110_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_5,axiom,
( sk1_esk102_2(X2,X1) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(X2,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk100_2(X2,X1)),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4111_0,axiom,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk116_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4111_1,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| is_pname(sk1_esk116_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4111_2,axiom,
( is_pname(sk1_esk116_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4111_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk116_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4111_4,axiom,
( ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk116_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4111_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk116_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4111]) ).
cnf(c_0_4112_0,axiom,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk117_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4112_1,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| is_pname(sk1_esk117_4(X1,X4,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4112_2,axiom,
( is_pname(sk1_esk117_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4112_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk117_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4112_4,axiom,
( ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk117_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4112_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite89670078_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk117_4(X1,X4,X2,X3))
| X1 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(image_pname_pname(X4),X1)) = hAPP_pname_pname(X4,hAPP_f1297739591_pname(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4112]) ).
cnf(c_0_4113_0,axiom,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4113_1,axiom,
( X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4113_2,axiom,
( is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4113_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4113_4,axiom,
( ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4113_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk112_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4113]) ).
cnf(c_0_4114_0,axiom,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4114_1,axiom,
( X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4114_2,axiom,
( is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4114_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4114_4,axiom,
( ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4114_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1268145088e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk113_4(X1,X4,X2,X3))
| X1 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(image_2063528359e_bool(X4),X1)) = hAPP_f759274231e_bool(X4,hAPP_f674760225e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4114]) ).
cnf(c_0_4115_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| sk1_esk111_2(X2,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4115]) ).
cnf(c_0_4115_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| sk1_esk111_2(X2,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4115]) ).
cnf(c_0_4115_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| sk1_esk111_2(X2,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4115]) ).
cnf(c_0_4115_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool
| sk1_esk111_2(X2,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4115]) ).
cnf(c_0_4115_4,axiom,
( sk1_esk111_2(X2,X1) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk109_2(X2,X1)),bot_bo1325454745l_bool)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4115]) ).
cnf(c_0_4116_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| sk1_esk105_2(X2,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4116]) ).
cnf(c_0_4116_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| sk1_esk105_2(X2,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4116]) ).
cnf(c_0_4116_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| sk1_esk105_2(X2,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4116]) ).
cnf(c_0_4116_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool
| sk1_esk105_2(X2,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4116]) ).
cnf(c_0_4116_4,axiom,
( sk1_esk105_2(X2,X1) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk103_2(X2,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4116]) ).
cnf(c_0_4117_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X5),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4117]) ).
cnf(c_0_4117_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X5),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_4117]) ).
cnf(c_0_4117_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X1),X3),X5))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X2),X5),X4))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(semi(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4117]) ).
cnf(c_0_4118_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4118]) ).
cnf(c_0_4118_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4118]) ).
cnf(c_0_4119_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4119]) ).
cnf(c_0_4119_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4119]) ).
cnf(c_0_4120_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4120]) ).
cnf(c_0_4120_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4120]) ).
cnf(c_0_4121_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4121]) ).
cnf(c_0_4121_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4121]) ).
cnf(c_0_4122_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4122]) ).
cnf(c_0_4122_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4122]) ).
cnf(c_0_4123_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4123]) ).
cnf(c_0_4123_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4123]) ).
cnf(c_0_4124_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4124]) ).
cnf(c_0_4124_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4124]) ).
cnf(c_0_4125_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4125]) ).
cnf(c_0_4125_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4125]) ).
cnf(c_0_4126_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4126]) ).
cnf(c_0_4126_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4126]) ).
cnf(c_0_4127_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4127]) ).
cnf(c_0_4127_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4127]) ).
cnf(c_0_4128_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4128]) ).
cnf(c_0_4128_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4128]) ).
cnf(c_0_4129_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4129]) ).
cnf(c_0_4129_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4129]) ).
cnf(c_0_4130_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4130]) ).
cnf(c_0_4130_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4130]) ).
cnf(c_0_4131_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4131]) ).
cnf(c_0_4131_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4131]) ).
cnf(c_0_4132_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4132]) ).
cnf(c_0_4132_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4132]) ).
cnf(c_0_4132_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4132]) ).
cnf(c_0_4133_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4133]) ).
cnf(c_0_4133_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4133]) ).
cnf(c_0_4133_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4133]) ).
cnf(c_0_4134_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4134]) ).
cnf(c_0_4134_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4134]) ).
cnf(c_0_4134_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4134]) ).
cnf(c_0_4135_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4135]) ).
cnf(c_0_4135_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4135]) ).
cnf(c_0_4135_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4135]) ).
cnf(c_0_4136_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4136]) ).
cnf(c_0_4136_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4136]) ).
cnf(c_0_4136_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4136]) ).
cnf(c_0_4137_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4137]) ).
cnf(c_0_4137_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4137]) ).
cnf(c_0_4137_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4137]) ).
cnf(c_0_4138_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4138]) ).
cnf(c_0_4138_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4138]) ).
cnf(c_0_4138_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4138]) ).
cnf(c_0_4139_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4139]) ).
cnf(c_0_4139_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4139]) ).
cnf(c_0_4139_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4139]) ).
cnf(c_0_4140_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4140]) ).
cnf(c_0_4140_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4140]) ).
cnf(c_0_4140_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4140]) ).
cnf(c_0_4141_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4141]) ).
cnf(c_0_4141_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4141]) ).
cnf(c_0_4141_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4141]) ).
cnf(c_0_4142_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_2(X2,X1)),dom_pname_com(body)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4142]) ).
cnf(c_0_4142_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_2(X2,X1)),dom_pname_com(body)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4142]) ).
cnf(c_0_4142_2,axiom,
( ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_2(X2,X1)),dom_pname_com(body)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4142]) ).
cnf(c_0_4142_3,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hoare_298929751gleton)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk16_2(X2,X1)),dom_pname_com(body)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4142]) ).
cnf(c_0_4143_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4143]) ).
cnf(c_0_4143_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1)),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4143]) ).
cnf(c_0_4144_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4144]) ).
cnf(c_0_4144_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1)),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4144]) ).
cnf(c_0_4145_0,axiom,
( hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4145]) ).
cnf(c_0_4145_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4145]) ).
cnf(c_0_4145_2,axiom,
( ~ hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4145]) ).
cnf(c_0_4146_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4146]) ).
cnf(c_0_4146_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4146]) ).
cnf(c_0_4147_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4147]) ).
cnf(c_0_4147_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4147]) ).
cnf(c_0_4148_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4148]) ).
cnf(c_0_4148_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4148]) ).
cnf(c_0_4149_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4149]) ).
cnf(c_0_4149_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4149]) ).
cnf(c_0_4151_0,axiom,
( hBOOL(hAPP_com_bool(X1,X2))
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,sk1_esk96_3(X2,X1,X3)),set_com(X3)))
| X3 != some_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4151]) ).
cnf(c_0_4151_1,axiom,
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,sk1_esk96_3(X2,X1,X3)),set_com(X3)))
| hBOOL(hAPP_com_bool(X1,X2))
| X3 != some_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4151]) ).
cnf(c_0_4151_2,axiom,
( X3 != some_com(X2)
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,sk1_esk96_3(X2,X1,X3)),set_com(X3)))
| hBOOL(hAPP_com_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4151]) ).
cnf(c_0_4152_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| is_pname(sk1_esk131_4(X3,X4,X1,X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4152]) ).
cnf(c_0_4152_1,axiom,
( is_pname(sk1_esk131_4(X3,X4,X1,X2))
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4152]) ).
cnf(c_0_4152_2,axiom,
( X1 != X2
| is_pname(sk1_esk131_4(X3,X4,X1,X2))
| hAPP_f631639356e_bool(image_275883510_state(X3),X1) = hAPP_f631639356e_bool(image_275883510_state(X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4152]) ).
cnf(c_0_4153_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4153]) ).
cnf(c_0_4153_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4153]) ).
cnf(c_0_4154_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4154]) ).
cnf(c_0_4154_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X3)),hAPP_H513860823e_bool(X2,X3)))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4154]) ).
cnf(c_0_4155_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4155]) ).
cnf(c_0_4155_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4155]) ).
cnf(c_0_4155_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4155]) ).
cnf(c_0_4156_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4156]) ).
cnf(c_0_4156_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4156]) ).
cnf(c_0_4156_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4156]) ).
cnf(c_0_4157_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4157]) ).
cnf(c_0_4157_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4157]) ).
cnf(c_0_4157_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,sk1_esk76_3(X1,X2,X3)))
| hBOOL(hAPP_H513860823e_bool(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4157]) ).
cnf(c_0_4158_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk39_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4158]) ).
cnf(c_0_4158_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk39_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4158]) ).
cnf(c_0_4158_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk39_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4158]) ).
cnf(c_0_4158_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk39_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4158]) ).
cnf(c_0_4159_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk37_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4159]) ).
cnf(c_0_4159_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk37_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4159]) ).
cnf(c_0_4159_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk37_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4159]) ).
cnf(c_0_4159_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk37_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4159]) ).
cnf(c_0_4160_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk36_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4160]) ).
cnf(c_0_4160_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk36_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4160]) ).
cnf(c_0_4160_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk36_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4160]) ).
cnf(c_0_4160_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk36_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4160]) ).
cnf(c_0_4161_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk34_3(X2,X3,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4161]) ).
cnf(c_0_4161_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk34_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4161]) ).
cnf(c_0_4161_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk34_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4161]) ).
cnf(c_0_4161_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk34_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4161]) ).
cnf(c_0_4162_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk33_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4162]) ).
cnf(c_0_4162_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk33_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4162]) ).
cnf(c_0_4162_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk33_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4162]) ).
cnf(c_0_4162_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk33_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4162]) ).
cnf(c_0_4163_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk32_3(X2,X3,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4163]) ).
cnf(c_0_4163_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk32_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4163]) ).
cnf(c_0_4163_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk32_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4163]) ).
cnf(c_0_4163_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk32_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4163]) ).
cnf(c_0_4164_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),X1) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4164]) ).
cnf(c_0_4164_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),X1) != hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4164]) ).
cnf(c_0_4165_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),X1) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4165]) ).
cnf(c_0_4165_1,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),X1) != hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4165]) ).
cnf(c_0_4166_0,axiom,
( X4 = X3
| hBOOL(hAPP_state_bool(X1,X3))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4166]) ).
cnf(c_0_4166_1,axiom,
( hBOOL(hAPP_state_bool(X1,X3))
| X4 = X3
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_4166]) ).
cnf(c_0_4166_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X4))
| hBOOL(hAPP_state_bool(X1,X3))
| X4 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_4166]) ).
cnf(c_0_4167_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk40_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4167]) ).
cnf(c_0_4167_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk40_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4167]) ).
cnf(c_0_4167_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk40_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4167]) ).
cnf(c_0_4168_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk38_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4168]) ).
cnf(c_0_4168_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk38_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4168]) ).
cnf(c_0_4168_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk38_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4168]) ).
cnf(c_0_4169_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk35_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4169]) ).
cnf(c_0_4169_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk35_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4169]) ).
cnf(c_0_4169_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk35_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4169]) ).
cnf(c_0_4170_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk31_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4170]) ).
cnf(c_0_4170_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk31_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4170]) ).
cnf(c_0_4170_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk31_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4170]) ).
cnf(c_0_4171_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4171]) ).
cnf(c_0_4171_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X2,X3,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4171]) ).
cnf(c_0_4171_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk30_3(X2,X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4171]) ).
cnf(c_0_4172_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4172]) ).
cnf(c_0_4172_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4172]) ).
cnf(c_0_4173_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4173]) ).
cnf(c_0_4173_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4173]) ).
cnf(c_0_4174_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4174]) ).
cnf(c_0_4174_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| hBOOL(hAPP_H513860823e_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4174]) ).
cnf(c_0_4175_0,axiom,
( hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4175]) ).
cnf(c_0_4175_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4175]) ).
cnf(c_0_4176_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4176]) ).
cnf(c_0_4176_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4176]) ).
cnf(c_0_4177_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4177]) ).
cnf(c_0_4177_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3),X2))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4177]) ).
cnf(c_0_4178_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4178]) ).
cnf(c_0_4178_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4178]) ).
cnf(c_0_4178_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4178]) ).
cnf(c_0_4179_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4179]) ).
cnf(c_0_4179_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4179]) ).
cnf(c_0_4179_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4179]) ).
cnf(c_0_4180_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4180]) ).
cnf(c_0_4180_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4180]) ).
cnf(c_0_4180_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4180]) ).
cnf(c_0_4181_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4181]) ).
cnf(c_0_4181_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4181]) ).
cnf(c_0_4181_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X3),X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4181]) ).
cnf(c_0_4182_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4182]) ).
cnf(c_0_4182_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4182]) ).
cnf(c_0_4182_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4182]) ).
cnf(c_0_4183_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4183]) ).
cnf(c_0_4183_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4183]) ).
cnf(c_0_4183_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4183]) ).
cnf(c_0_4184_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4184]) ).
cnf(c_0_4184_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4184]) ).
cnf(c_0_4185_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4185]) ).
cnf(c_0_4185_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4185]) ).
cnf(c_0_4186_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4186]) ).
cnf(c_0_4186_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4186]) ).
cnf(c_0_4187_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4187]) ).
cnf(c_0_4187_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4187]) ).
cnf(c_0_4188_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4188]) ).
cnf(c_0_4188_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4188]) ).
cnf(c_0_4188_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4188]) ).
cnf(c_0_4188_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk47_2(X2,X1)),sk1_esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4188]) ).
cnf(c_0_4189_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4189]) ).
cnf(c_0_4189_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4189]) ).
cnf(c_0_4189_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4189]) ).
cnf(c_0_4189_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk45_2(X2,X1)),sk1_esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4189]) ).
cnf(c_0_4190_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4190]) ).
cnf(c_0_4190_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4190]) ).
cnf(c_0_4190_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4190]) ).
cnf(c_0_4190_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk43_2(X2,X1)),sk1_esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4190]) ).
cnf(c_0_4191_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4191]) ).
cnf(c_0_4191_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4191]) ).
cnf(c_0_4191_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4191]) ).
cnf(c_0_4191_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk41_2(X2,X1)),sk1_esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4191]) ).
cnf(c_0_4192_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4192]) ).
cnf(c_0_4192_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4192]) ).
cnf(c_0_4192_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4192]) ).
cnf(c_0_4192_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4192]) ).
cnf(c_0_4192_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X3,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4192]) ).
cnf(c_0_4193_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4193]) ).
cnf(c_0_4193_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4193]) ).
cnf(c_0_4193_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4193]) ).
cnf(c_0_4193_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4193]) ).
cnf(c_0_4193_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4193]) ).
cnf(c_0_4194_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(X3,sk1_esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4194]) ).
cnf(c_0_4194_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4194]) ).
cnf(c_0_4194_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4194]) ).
cnf(c_0_4194_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4194]) ).
cnf(c_0_4194_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X3,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4194]) ).
cnf(c_0_4195_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4195]) ).
cnf(c_0_4195_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4195]) ).
cnf(c_0_4195_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4195]) ).
cnf(c_0_4195_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4195]) ).
cnf(c_0_4195_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4195]) ).
cnf(c_0_4196_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4196]) ).
cnf(c_0_4196_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3))))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4196]) ).
cnf(c_0_4196_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X1),hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),hAPP_f1970439265l_bool(collec111528142e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4196]) ).
cnf(c_0_4197_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4197]) ).
cnf(c_0_4197_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4197]) ).
cnf(c_0_4197_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),hAPP_f559147733l_bool(collec1974731493e_bool,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4197]) ).
cnf(c_0_4198_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4198]) ).
cnf(c_0_4198_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3))))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4198]) ).
cnf(c_0_4198_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),hAPP_f921536533e_bool(collec727977250_state,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4198]) ).
cnf(c_0_4199_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| ~ hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4199]) ).
cnf(c_0_4199_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4199]) ).
cnf(c_0_4199_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),hAPP_f759274231e_bool(collect_pname,X3)))) ),
inference(literals_permutation,[status(thm)],[c_0_4199]) ).
cnf(c_0_4200_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4200]) ).
cnf(c_0_4200_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X1))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4200]) ).
cnf(c_0_4201_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4201]) ).
cnf(c_0_4201_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4201]) ).
cnf(c_0_4202_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4202]) ).
cnf(c_0_4202_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4202]) ).
cnf(c_0_4203_0,axiom,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4203]) ).
cnf(c_0_4203_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X2,X1))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4203]) ).
cnf(c_0_4204_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X3,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk26_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4204]) ).
cnf(c_0_4204_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4204]) ).
cnf(c_0_4204_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4204]) ).
cnf(c_0_4204_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4204]) ).
cnf(c_0_4204_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X3,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk26_3(X3,X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4204]) ).
cnf(c_0_4205_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk24_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4205]) ).
cnf(c_0_4205_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4205]) ).
cnf(c_0_4205_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4205]) ).
cnf(c_0_4205_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4205]) ).
cnf(c_0_4205_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk24_3(X3,X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4205]) ).
cnf(c_0_4206_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X3,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk22_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4206]) ).
cnf(c_0_4206_1,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4206]) ).
cnf(c_0_4206_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4206]) ).
cnf(c_0_4206_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4206]) ).
cnf(c_0_4206_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X3,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk22_3(X3,X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4206]) ).
cnf(c_0_4207_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk20_3(X3,X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4207]) ).
cnf(c_0_4207_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4207]) ).
cnf(c_0_4207_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4207]) ).
cnf(c_0_4207_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4207]) ).
cnf(c_0_4207_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk20_3(X3,X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4207]) ).
cnf(c_0_4208_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4208_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4208_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4208_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4208_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4208_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk107_2(X2,X1)),sk1_esk108_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4208]) ).
cnf(c_0_4209_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4209_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4209_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4209_3,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4209_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4209_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk101_2(X2,X1)),sk1_esk102_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4209]) ).
cnf(c_0_4210_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4210]) ).
cnf(c_0_4210_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4210]) ).
cnf(c_0_4211_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4211]) ).
cnf(c_0_4211_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4211]) ).
cnf(c_0_4212_0,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4212]) ).
cnf(c_0_4212_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4212]) ).
cnf(c_0_4213_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4213]) ).
cnf(c_0_4213_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4213]) ).
cnf(c_0_4213_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4213]) ).
cnf(c_0_4214_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4214]) ).
cnf(c_0_4214_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4214]) ).
cnf(c_0_4214_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4214]) ).
cnf(c_0_4215_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4215]) ).
cnf(c_0_4215_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4215]) ).
cnf(c_0_4215_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4215]) ).
cnf(c_0_4216_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4216]) ).
cnf(c_0_4216_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4216]) ).
cnf(c_0_4216_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4216]) ).
cnf(c_0_4217_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4217]) ).
cnf(c_0_4217_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4217]) ).
cnf(c_0_4217_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4217]) ).
cnf(c_0_4218_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4218]) ).
cnf(c_0_4218_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4218]) ).
cnf(c_0_4218_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4218]) ).
cnf(c_0_4219_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4219]) ).
cnf(c_0_4219_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4219]) ).
cnf(c_0_4219_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4219]) ).
cnf(c_0_4220_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4220]) ).
cnf(c_0_4220_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4220]) ).
cnf(c_0_4220_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4220]) ).
cnf(c_0_4221_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4221]) ).
cnf(c_0_4221_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4221]) ).
cnf(c_0_4221_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4221]) ).
cnf(c_0_4222_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4222]) ).
cnf(c_0_4222_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4222]) ).
cnf(c_0_4222_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4222]) ).
cnf(c_0_4223_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4223]) ).
cnf(c_0_4223_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4223]) ).
cnf(c_0_4223_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4223]) ).
cnf(c_0_4224_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4224]) ).
cnf(c_0_4224_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4224]) ).
cnf(c_0_4224_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4224]) ).
cnf(c_0_4225_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| is_pname(sk1_esk16_2(X2,X1))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4225]) ).
cnf(c_0_4225_1,axiom,
( is_pname(sk1_esk16_2(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4225]) ).
cnf(c_0_4225_2,axiom,
( ~ hBOOL(hoare_298929751gleton)
| is_pname(sk1_esk16_2(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4225]) ).
cnf(c_0_4225_3,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hoare_298929751gleton)
| is_pname(sk1_esk16_2(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4225]) ).
cnf(c_0_4226_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4226]) ).
cnf(c_0_4226_1,axiom,
( X2 = X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4226]) ).
cnf(c_0_4226_2,axiom,
( ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4226]) ).
cnf(c_0_4226_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4226]) ).
cnf(c_0_4226_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4226]) ).
cnf(c_0_4227_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| ~ is_pname(X3)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4227]) ).
cnf(c_0_4227_1,axiom,
( X1 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| ~ is_pname(X3)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4227]) ).
cnf(c_0_4227_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| X1 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_pname(X3)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4227]) ).
cnf(c_0_4227_3,axiom,
( ~ is_pname(X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| X1 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4227]) ).
cnf(c_0_4227_4,axiom,
( ~ is_pname(X1)
| ~ is_pname(X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)))
| X1 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4227]) ).
cnf(c_0_4232_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4232]) ).
cnf(c_0_4232_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X2,X1))
| hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_H1645666623e_bool(fequal1531560888_state,X1))),X2)) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4232]) ).
cnf(c_0_4233_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4233]) ).
cnf(c_0_4233_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f854625363l_bool(fequal1746921144e_bool,X1))),X2)) = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4233]) ).
cnf(c_0_4234_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4234]) ).
cnf(c_0_4234_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f434788991l_bool(fequal533582459e_bool,X1))),X2)) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4234]) ).
cnf(c_0_4235_0,axiom,
( hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4235]) ).
cnf(c_0_4235_1,axiom,
( hBOOL(hAPP_pname_bool(X2,X1))
| hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_p61793385e_bool(fequal_pname,X1))),X2)) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4235]) ).
cnf(c_0_4236_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4236]) ).
cnf(c_0_4236_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4236]) ).
cnf(c_0_4237_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4237]) ).
cnf(c_0_4237_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4237]) ).
cnf(c_0_4238_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4238]) ).
cnf(c_0_4238_1,axiom,
( X1 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4238]) ).
cnf(c_0_4238_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2)))
| X1 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4238]) ).
cnf(c_0_4239_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X1 = X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4239]) ).
cnf(c_0_4239_1,axiom,
( X1 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4239]) ).
cnf(c_0_4239_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2)))
| X1 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4239]) ).
cnf(c_0_4240_0,axiom,
( hBOOL(hAPP_com_bool(X1,X2))
| X3 != some_com(X2)
| ~ hBOOL(hAPP_com_bool(X1,sk1_esk96_3(X2,X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4240]) ).
cnf(c_0_4240_1,axiom,
( X3 != some_com(X2)
| hBOOL(hAPP_com_bool(X1,X2))
| ~ hBOOL(hAPP_com_bool(X1,sk1_esk96_3(X2,X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4240]) ).
cnf(c_0_4240_2,axiom,
( ~ hBOOL(hAPP_com_bool(X1,sk1_esk96_3(X2,X1,X3)))
| X3 != some_com(X2)
| hBOOL(hAPP_com_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4240]) ).
cnf(c_0_4241_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4241]) ).
cnf(c_0_4241_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4241]) ).
cnf(c_0_4242_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4242]) ).
cnf(c_0_4242_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4242]) ).
cnf(c_0_4243_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4243]) ).
cnf(c_0_4243_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4243]) ).
cnf(c_0_4244_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4244]) ).
cnf(c_0_4244_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4244]) ).
cnf(c_0_4245_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4245]) ).
cnf(c_0_4245_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4245]) ).
cnf(c_0_4246_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4246]) ).
cnf(c_0_4246_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4246]) ).
cnf(c_0_4247_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4247]) ).
cnf(c_0_4247_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4247]) ).
cnf(c_0_4248_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4248]) ).
cnf(c_0_4248_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4248]) ).
cnf(c_0_4249_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4249]) ).
cnf(c_0_4249_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4249]) ).
cnf(c_0_4250_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4250]) ).
cnf(c_0_4250_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4250]) ).
cnf(c_0_4251_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4251]) ).
cnf(c_0_4251_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X2)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4251]) ).
cnf(c_0_4252_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4252]) ).
cnf(c_0_4252_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X3),X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4252]) ).
cnf(c_0_4253_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4253]) ).
cnf(c_0_4253_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4253]) ).
cnf(c_0_4254_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4254]) ).
cnf(c_0_4254_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4254]) ).
cnf(c_0_4255_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4255]) ).
cnf(c_0_4255_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4255]) ).
cnf(c_0_4256_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4256]) ).
cnf(c_0_4256_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4256]) ).
cnf(c_0_4257_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4257]) ).
cnf(c_0_4257_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4257]) ).
cnf(c_0_4258_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4258]) ).
cnf(c_0_4258_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4258]) ).
cnf(c_0_4259_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4259]) ).
cnf(c_0_4259_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4259]) ).
cnf(c_0_4260_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4260]) ).
cnf(c_0_4260_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4260]) ).
cnf(c_0_4261_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4261]) ).
cnf(c_0_4261_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4261]) ).
cnf(c_0_4262_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4262]) ).
cnf(c_0_4262_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4262]) ).
cnf(c_0_4263_0,axiom,
( hAPP_f759274231e_bool(image_pname_pname(X2),sk1_esk39_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4263]) ).
cnf(c_0_4263_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(image_pname_pname(X2),sk1_esk39_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4263]) ).
cnf(c_0_4263_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(image_pname_pname(X2),sk1_esk39_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4263]) ).
cnf(c_0_4263_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(image_pname_pname(X2),sk1_esk39_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4263]) ).
cnf(c_0_4264_0,axiom,
( hAPP_f434788991l_bool(image_47868345e_bool(X2),sk1_esk37_3(X2,X3,X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4264]) ).
cnf(c_0_4264_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hAPP_f434788991l_bool(image_47868345e_bool(X2),sk1_esk37_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4264]) ).
cnf(c_0_4264_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hAPP_f434788991l_bool(image_47868345e_bool(X2),sk1_esk37_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4264]) ).
cnf(c_0_4264_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hAPP_f434788991l_bool(image_47868345e_bool(X2),sk1_esk37_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4264]) ).
cnf(c_0_4265_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk36_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4265]) ).
cnf(c_0_4265_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk36_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4265]) ).
cnf(c_0_4265_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk36_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4265]) ).
cnf(c_0_4265_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk36_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4265]) ).
cnf(c_0_4266_0,axiom,
( hAPP_f748867288l_bool(image_1259634916e_bool(X2),sk1_esk34_3(X2,X3,X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4266]) ).
cnf(c_0_4266_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hAPP_f748867288l_bool(image_1259634916e_bool(X2),sk1_esk34_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4266]) ).
cnf(c_0_4266_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hAPP_f748867288l_bool(image_1259634916e_bool(X2),sk1_esk34_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4266]) ).
cnf(c_0_4266_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hAPP_f748867288l_bool(image_1259634916e_bool(X2),sk1_esk34_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4266]) ).
cnf(c_0_4267_0,axiom,
( hAPP_f280588268e_bool(image_636285904_pname(X2),sk1_esk33_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4267]) ).
cnf(c_0_4267_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f280588268e_bool(image_636285904_pname(X2),sk1_esk33_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4267]) ).
cnf(c_0_4267_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f280588268e_bool(image_636285904_pname(X2),sk1_esk33_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4267]) ).
cnf(c_0_4267_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f280588268e_bool(image_636285904_pname(X2),sk1_esk33_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4267]) ).
cnf(c_0_4268_0,axiom,
( hAPP_f674760225e_bool(image_1283814551_pname(X2),sk1_esk32_3(X2,X3,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4268]) ).
cnf(c_0_4268_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(image_1283814551_pname(X2),sk1_esk32_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4268]) ).
cnf(c_0_4268_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(image_1283814551_pname(X2),sk1_esk32_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4268]) ).
cnf(c_0_4268_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(image_1283814551_pname(X2),sk1_esk32_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4268]) ).
cnf(c_0_4269_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4269]) ).
cnf(c_0_4269_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4269]) ).
cnf(c_0_4269_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4269]) ).
cnf(c_0_4270_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4270]) ).
cnf(c_0_4270_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4270]) ).
cnf(c_0_4270_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4270]) ).
cnf(c_0_4271_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4271]) ).
cnf(c_0_4271_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4271]) ).
cnf(c_0_4271_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4271]) ).
cnf(c_0_4272_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4272]) ).
cnf(c_0_4272_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4272]) ).
cnf(c_0_4272_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4272]) ).
cnf(c_0_4273_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_1,axiom,
( X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_2,axiom,
( X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_3,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_6,axiom,
( ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_7,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4273_8,axiom,
( ~ is_fun_pname_bool(X3)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) != bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4273]) ).
cnf(c_0_4274_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_1,axiom,
( X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X2 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_2,axiom,
( X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_3,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_6,axiom,
( ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_7,axiom,
( ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4274_8,axiom,
( ~ is_fun1661590463l_bool(X3)
| ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X2),X3) != bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4274]) ).
cnf(c_0_4275_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X3,X4)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4275]) ).
cnf(c_0_4275_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X3,X4)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4275]) ).
cnf(c_0_4275_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_4275]) ).
cnf(c_0_4276_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X4,X3)))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4276]) ).
cnf(c_0_4276_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X4,X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4276]) ).
cnf(c_0_4276_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk81_3(X1,X4,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4276]) ).
cnf(c_0_4277_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),sk1_esk40_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4277]) ).
cnf(c_0_4277_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f631639356e_bool(image_275883510_state(X2),sk1_esk40_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4277]) ).
cnf(c_0_4277_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f631639356e_bool(image_275883510_state(X2),sk1_esk40_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4277]) ).
cnf(c_0_4278_0,axiom,
( hAPP_f1874607724l_bool(image_505480954e_bool(X2),sk1_esk38_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4278]) ).
cnf(c_0_4278_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hAPP_f1874607724l_bool(image_505480954e_bool(X2),sk1_esk38_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4278]) ).
cnf(c_0_4278_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hAPP_f1874607724l_bool(image_505480954e_bool(X2),sk1_esk38_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4278]) ).
cnf(c_0_4279_0,axiom,
( hAPP_f854625363l_bool(image_277167759e_bool(X2),sk1_esk35_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4279]) ).
cnf(c_0_4279_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hAPP_f854625363l_bool(image_277167759e_bool(X2),sk1_esk35_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4279]) ).
cnf(c_0_4279_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hAPP_f854625363l_bool(image_277167759e_bool(X2),sk1_esk35_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4279]) ).
cnf(c_0_4280_0,axiom,
( hAPP_f772567431e_bool(image_774712299_state(X2),sk1_esk31_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4280]) ).
cnf(c_0_4280_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f772567431e_bool(image_774712299_state(X2),sk1_esk31_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4280]) ).
cnf(c_0_4280_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f772567431e_bool(image_774712299_state(X2),sk1_esk31_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4280]) ).
cnf(c_0_4281_0,axiom,
( hAPP_f780887186e_bool(image_936554724_state(X2),sk1_esk30_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4281]) ).
cnf(c_0_4281_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f780887186e_bool(image_936554724_state(X2),sk1_esk30_3(X2,X3,X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4281]) ).
cnf(c_0_4281_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f780887186e_bool(image_936554724_state(X2),sk1_esk30_3(X2,X3,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4281]) ).
cnf(c_0_4282_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_4282]) ).
cnf(c_0_4282_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_4282]) ).
cnf(c_0_4282_2,axiom,
( ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_4282]) ).
cnf(c_0_4282_3,axiom,
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4282]) ).
cnf(c_0_4283_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4283]) ).
cnf(c_0_4283_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4283]) ).
cnf(c_0_4284_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4284]) ).
cnf(c_0_4284_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4284]) ).
cnf(c_0_4285_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4285]) ).
cnf(c_0_4285_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4285]) ).
cnf(c_0_4286_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4286]) ).
cnf(c_0_4286_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4286]) ).
cnf(c_0_4287_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4287]) ).
cnf(c_0_4287_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4287]) ).
cnf(c_0_4288_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4288]) ).
cnf(c_0_4288_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4288]) ).
cnf(c_0_4289_0,axiom,
( is_fun_pname_bool(sk1_esk39_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4289]) ).
cnf(c_0_4289_1,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk39_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4289]) ).
cnf(c_0_4289_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk39_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4289]) ).
cnf(c_0_4289_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk39_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4289]) ).
cnf(c_0_4290_0,axiom,
( is_fun_pname_bool(sk1_esk37_3(X2,X3,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4290]) ).
cnf(c_0_4290_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk37_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4290]) ).
cnf(c_0_4290_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk37_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4290]) ).
cnf(c_0_4290_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk37_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4290]) ).
cnf(c_0_4291_0,axiom,
( is_fun1661590463l_bool(sk1_esk32_3(X2,X3,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4291]) ).
cnf(c_0_4291_1,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun1661590463l_bool(sk1_esk32_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4291]) ).
cnf(c_0_4291_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun1661590463l_bool(sk1_esk32_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4291]) ).
cnf(c_0_4291_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun1661590463l_bool(sk1_esk32_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4291]) ).
cnf(c_0_4292_0,axiom,
( hAPP_f674760225e_bool(X3,X4) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4292_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,X4) = X1
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4292_2,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,X4) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4292_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,X4) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4292_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,X4) = X1
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4292_5,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4292]) ).
cnf(c_0_4293_0,axiom,
( hAPP_f1297739591_pname(X3,X4) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4293_1,axiom,
( ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,X4) = X1
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4293_2,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,X4) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4293_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,X4) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4293_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,X4) = X1
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4293_5,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,X4) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4293]) ).
cnf(c_0_4294_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_2,axiom,
( X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_3,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_5,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4294_6,axiom,
( ~ hBOOL(finite774711482_state(X4,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4294]) ).
cnf(c_0_4295_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X2 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_2,axiom,
( X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_3,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_5,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4295_6,axiom,
( ~ hBOOL(finite132673334e_bool(X4,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X2),X3) != bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4295]) ).
cnf(c_0_4296_0,axiom,
( is_fun_pname_bool(sk1_esk40_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4296]) ).
cnf(c_0_4296_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| is_fun_pname_bool(sk1_esk40_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4296]) ).
cnf(c_0_4296_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| is_fun_pname_bool(sk1_esk40_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4296]) ).
cnf(c_0_4297_0,axiom,
( is_fun_pname_bool(sk1_esk38_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4297]) ).
cnf(c_0_4297_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| is_fun_pname_bool(sk1_esk38_3(X2,X3,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4297]) ).
cnf(c_0_4297_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| is_fun_pname_bool(sk1_esk38_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4297]) ).
cnf(c_0_4298_0,axiom,
( is_fun1661590463l_bool(sk1_esk30_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4298]) ).
cnf(c_0_4298_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| is_fun1661590463l_bool(sk1_esk30_3(X2,X3,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4298]) ).
cnf(c_0_4298_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| is_fun1661590463l_bool(sk1_esk30_3(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4298]) ).
cnf(c_0_4299_0,axiom,
( hAPP_f772567431e_bool(X2,X3) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4299]) ).
cnf(c_0_4299_1,axiom,
( ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,X3) = X4
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4299]) ).
cnf(c_0_4299_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,X3) = X4
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4299]) ).
cnf(c_0_4299_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,X3) = X4
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4299]) ).
cnf(c_0_4299_4,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X4),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4299]) ).
cnf(c_0_4300_0,axiom,
( hAPP_f2143211163_state(X2,X3) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4300]) ).
cnf(c_0_4300_1,axiom,
( ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,X3) = X4
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4300]) ).
cnf(c_0_4300_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,X3) = X4
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4300]) ).
cnf(c_0_4300_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,X3) = X4
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4300]) ).
cnf(c_0_4300_4,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4300]) ).
cnf(c_0_4301_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4301_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4301_2,axiom,
( is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4301_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4301_4,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4301_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk124_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4301]) ).
cnf(c_0_4302_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4302_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4302_2,axiom,
( is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4302_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4302_4,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4302_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk125_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_f674760225e_bool(X3,X1)),X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4302]) ).
cnf(c_0_4303_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(sk1_esk120_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4303_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk120_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4303_2,axiom,
( is_pname(sk1_esk120_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4303_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk120_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4303_4,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk120_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4303_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk120_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4303]) ).
cnf(c_0_4304_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| is_pname(sk1_esk121_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4304_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk121_3(X1,X2,X3))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4304_2,axiom,
( is_pname(sk1_esk121_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4304_3,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk121_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4304_4,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk121_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4304_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk121_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4304]) ).
cnf(c_0_4309_0,axiom,
( X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4309]) ).
cnf(c_0_4309_1,axiom,
( X1 = bot_bo844097828e_bool
| X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4309]) ).
cnf(c_0_4309_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| X1 = bot_bo844097828e_bool
| X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4309]) ).
cnf(c_0_4309_3,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| X1 = bot_bo844097828e_bool
| X1 = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4309]) ).
cnf(c_0_4310_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4310]) ).
cnf(c_0_4310_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,ord_le313189616e_bool),X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4310]) ).
cnf(c_0_4311_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X1))))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4311]) ).
cnf(c_0_4311_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,ord_le1720872323e_bool),X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4311]) ).
cnf(c_0_4312_0,axiom,
( hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X1))))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4312]) ).
cnf(c_0_4312_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f1904669497l_bool(finite1586217244l_bool,hAPP_f1987093l_bool(collec1277803610l_bool,hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,ord_le1076702565l_bool),X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4312]) ).
cnf(c_0_4313_0,axiom,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4313]) ).
cnf(c_0_4313_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,hAPP_f783502055l_bool(collec1613912337l_bool,hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,ord_le675606854l_bool),X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_4313]) ).
cnf(c_0_4314_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4314]) ).
cnf(c_0_4314_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4314]) ).
cnf(c_0_4315_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4315]) ).
cnf(c_0_4315_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4315]) ).
cnf(c_0_4316_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk14_3(X1,X2,X3)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4316]) ).
cnf(c_0_4316_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk14_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4316]) ).
cnf(c_0_4316_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_fun_pname_bool(X1)
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),sk1_esk14_3(X1,X2,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4316]) ).
cnf(c_0_4317_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4317]) ).
cnf(c_0_4317_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4317]) ).
cnf(c_0_4317_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4317]) ).
cnf(c_0_4318_0,axiom,
( X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4318]) ).
cnf(c_0_4318_1,axiom,
( X1 = bot_bo1055319631e_bool
| X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4318]) ).
cnf(c_0_4318_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 = bot_bo1055319631e_bool
| X1 = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4318]) ).
cnf(c_0_4319_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk68_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4319]) ).
cnf(c_0_4319_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk68_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4319]) ).
cnf(c_0_4319_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk68_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4319]) ).
cnf(c_0_4320_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk67_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4320]) ).
cnf(c_0_4320_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk67_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4320]) ).
cnf(c_0_4320_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk67_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4320]) ).
cnf(c_0_4321_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk66_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4321]) ).
cnf(c_0_4321_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk66_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4321]) ).
cnf(c_0_4321_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk66_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4321]) ).
cnf(c_0_4322_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk65_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4322]) ).
cnf(c_0_4322_1,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk65_2(X2,X1)),X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4322]) ).
cnf(c_0_4322_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk65_2(X2,X1)),X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4322]) ).
cnf(c_0_4323_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk64_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4323]) ).
cnf(c_0_4323_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk64_2(X2,X1)),X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4323]) ).
cnf(c_0_4323_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk64_2(X2,X1)),X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4323]) ).
cnf(c_0_4324_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk63_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4324]) ).
cnf(c_0_4324_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk63_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4324]) ).
cnf(c_0_4324_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk63_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4324]) ).
cnf(c_0_4325_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk62_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4325]) ).
cnf(c_0_4325_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk62_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4325]) ).
cnf(c_0_4325_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk62_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4325]) ).
cnf(c_0_4326_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk61_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4326]) ).
cnf(c_0_4326_1,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk61_2(X2,X1)),X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4326]) ).
cnf(c_0_4326_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X2),X1)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,sk1_esk61_2(X2,X1)),X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4326]) ).
cnf(c_0_4327_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk60_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4327]) ).
cnf(c_0_4327_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk60_2(X2,X1)),X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4327]) ).
cnf(c_0_4327_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,sk1_esk60_2(X2,X1)),X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4327]) ).
cnf(c_0_4328_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk59_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4328]) ).
cnf(c_0_4328_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk59_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4328]) ).
cnf(c_0_4328_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(image_650584225_state(X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk59_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4328]) ).
cnf(c_0_4329_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk58_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4329]) ).
cnf(c_0_4329_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk58_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4329]) ).
cnf(c_0_4329_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk58_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4329]) ).
cnf(c_0_4330_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk57_2(X2,X1)),X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4330]) ).
cnf(c_0_4330_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk57_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4330]) ).
cnf(c_0_4330_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk57_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4330]) ).
cnf(c_0_4331_0,axiom,
( hAPP_H1344248906_pname(X2,sk1_esk17_3(X1,X2,X3)) = X1
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4331]) ).
cnf(c_0_4331_1,axiom,
( ~ is_pname(X1)
| hAPP_H1344248906_pname(X2,sk1_esk17_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4331]) ).
cnf(c_0_4331_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_pname(X1)
| hAPP_H1344248906_pname(X2,sk1_esk17_3(X1,X2,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4331]) ).
cnf(c_0_4332_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),sk1_esk15_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4332]) ).
cnf(c_0_4332_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hAPP_f631639356e_bool(image_275883510_state(X2),sk1_esk15_3(X1,X2,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4332]) ).
cnf(c_0_4333_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4333]) ).
cnf(c_0_4333_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4333]) ).
cnf(c_0_4334_0,axiom,
( X4 = X2
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_1,axiom,
( X4 = X1
| X4 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_2,axiom,
( ~ is_pname(X1)
| X4 = X1
| X4 = X2
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X4 = X2
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_4,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X4 = X2
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_5,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X4 = X2
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4334_6,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X4 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4334]) ).
cnf(c_0_4335_0,axiom,
( X4 = X2
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_1,axiom,
( X3 = X2
| X4 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_2,axiom,
( ~ is_pname(X1)
| X3 = X2
| X4 = X2
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X4 = X2
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_4,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X4 = X2
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_5,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X4 = X2
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4335_6,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X4 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4335]) ).
cnf(c_0_4336_0,axiom,
( X3 = X1
| X4 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_1,axiom,
( X4 = X1
| X3 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_2,axiom,
( ~ is_pname(X1)
| X4 = X1
| X3 = X1
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X3 = X1
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_4,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X3 = X1
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_5,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X3 = X1
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4336_6,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X4 = X1
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4336]) ).
cnf(c_0_4337_0,axiom,
( X3 = X1
| X3 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_1,axiom,
( X3 = X2
| X3 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_2,axiom,
( ~ is_pname(X1)
| X3 = X2
| X3 = X1
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X3 = X1
| ~ is_pname(X3)
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_4,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X3 = X1
| ~ is_pname(X4)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_5,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X3 = X1
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4337_6,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X3 = X2
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4337]) ).
cnf(c_0_4350_0,axiom,
( hAPP_p1842370726_state(X2,sk1_esk18_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4350]) ).
cnf(c_0_4350_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hAPP_p1842370726_state(X2,sk1_esk18_3(X1,X2,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4350]) ).
cnf(c_0_4351_0,axiom,
( hAPP_p1842370726_state(X2,sk1_esk13_3(X1,X2,X3)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4351]) ).
cnf(c_0_4351_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hAPP_p1842370726_state(X2,sk1_esk13_3(X1,X2,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4351]) ).
cnf(c_0_4358_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk29_2(X2,X1)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4358]) ).
cnf(c_0_4358_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk29_2(X2,X1)),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4358]) ).
cnf(c_0_4359_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk28_2(X2,X1)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4359]) ).
cnf(c_0_4359_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk28_2(X2,X1)),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4359]) ).
cnf(c_0_4360_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4360]) ).
cnf(c_0_4360_1,axiom,
( ~ is_pname(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4360]) ).
cnf(c_0_4360_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ is_pname(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4360]) ).
cnf(c_0_4361_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X3 = bot_bo844097828e_bool
| X2 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_1,axiom,
( X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| X2 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_2,axiom,
( X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_5,axiom,
( ~ hBOOL(finite89670078_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_6,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4361_7,axiom,
( ~ is_fun_pname_bool(X3)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X2 = bot_bo844097828e_bool
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X4,hAPP_f1297739591_pname(X1,X2)),hAPP_f1297739591_pname(X1,X3)) = hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4361]) ).
cnf(c_0_4362_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| X2 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_1,axiom,
( X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| X2 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_2,axiom,
( X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_5,axiom,
( ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ is_fun1661590463l_bool(X2)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_6,axiom,
( ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4362_7,axiom,
( ~ is_fun1661590463l_bool(X3)
| ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X2 = bot_bo1649642514l_bool
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,hAPP_f674760225e_bool(X1,X2)),hAPP_f674760225e_bool(X1,X3)) = hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4362]) ).
cnf(c_0_4363_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4363]) ).
cnf(c_0_4363_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4363]) ).
cnf(c_0_4363_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4363]) ).
cnf(c_0_4363_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4363]) ).
cnf(c_0_4364_0,axiom,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4364]) ).
cnf(c_0_4364_1,axiom,
( ~ is_pname(X1)
| X2 = X1
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4364]) ).
cnf(c_0_4364_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4364]) ).
cnf(c_0_4364_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4364]) ).
cnf(c_0_4365_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4365]) ).
cnf(c_0_4365_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| X1 = X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4365]) ).
cnf(c_0_4365_2,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| X1 = X2
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4365]) ).
cnf(c_0_4365_3,axiom,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4365]) ).
cnf(c_0_4366_0,axiom,
( hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4366]) ).
cnf(c_0_4366_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4366]) ).
cnf(c_0_4366_2,axiom,
( ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4366]) ).
cnf(c_0_4366_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1
| hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4366]) ).
cnf(c_0_4366_4,axiom,
( hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X4),hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool)) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1626890877e_bool(X2,X3))
| ~ is_fun_pname_bool(X1)
| hAPP_f674760225e_bool(X3,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X4)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4366]) ).
cnf(c_0_4367_0,axiom,
( hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| ~ is_pname(X1)
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4367]) ).
cnf(c_0_4367_1,axiom,
( ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4367]) ).
cnf(c_0_4367_2,axiom,
( ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4367]) ).
cnf(c_0_4367_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4367]) ).
cnf(c_0_4367_4,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite1282449217_pname(X2,X3))
| ~ is_pname(X1)
| hAPP_f1297739591_pname(X3,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X4)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4367]) ).
cnf(c_0_4368_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4368]) ).
cnf(c_0_4368_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4368]) ).
cnf(c_0_4369_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4369]) ).
cnf(c_0_4369_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4369]) ).
cnf(c_0_4370_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4370]) ).
cnf(c_0_4370_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4370]) ).
cnf(c_0_4371_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4371]) ).
cnf(c_0_4371_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_H513860823e_bool(X1,X2)),hAPP_H513860823e_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4371]) ).
cnf(c_0_4372_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4372]) ).
cnf(c_0_4372_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4372]) ).
cnf(c_0_4373_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4373_1,axiom,
( X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4373_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4373_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4373_4,axiom,
( ~ hBOOL(finite89670078_pname(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4)
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4373_5,axiom,
( ~ is_fun_pname_bool(X3)
| ~ hBOOL(finite89670078_pname(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X4))
| X3 = bot_bo844097828e_bool
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,hAPP_f1297739591_pname(X2,X3)),hAPP_f1297739591_pname(X2,X4)) = hAPP_f1297739591_pname(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4373]) ).
cnf(c_0_4374_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4374_1,axiom,
( X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4374_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4374_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4374_4,axiom,
( ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4)
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4374_5,axiom,
( ~ is_fun1661590463l_bool(X3)
| ~ hBOOL(finite1268145088e_bool(X1,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X4))
| X3 = bot_bo1649642514l_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,hAPP_f674760225e_bool(X2,X3)),hAPP_f674760225e_bool(X2,X4)) = hAPP_f674760225e_bool(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4374]) ).
cnf(c_0_4375_0,axiom,
( is_pname(sk1_esk18_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4375]) ).
cnf(c_0_4375_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| is_pname(sk1_esk18_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4375]) ).
cnf(c_0_4376_0,axiom,
( is_fun_pname_bool(sk1_esk15_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4376]) ).
cnf(c_0_4376_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| is_fun_pname_bool(sk1_esk15_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4376]) ).
cnf(c_0_4377_0,axiom,
( is_pname(sk1_esk13_3(X1,X2,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4377]) ).
cnf(c_0_4377_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| is_pname(sk1_esk13_3(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4377]) ).
cnf(c_0_4378_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_pname(sk1_esk23_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4378]) ).
cnf(c_0_4378_1,axiom,
( is_pname(sk1_esk23_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4378]) ).
cnf(c_0_4378_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk23_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4378]) ).
cnf(c_0_4378_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk23_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4378]) ).
cnf(c_0_4378_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk23_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4378]) ).
cnf(c_0_4379_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X3,X1))
| is_fun_pname_bool(sk1_esk24_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4379]) ).
cnf(c_0_4379_1,axiom,
( is_fun_pname_bool(sk1_esk24_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4379]) ).
cnf(c_0_4379_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_fun_pname_bool(sk1_esk24_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4379]) ).
cnf(c_0_4379_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_fun_pname_bool(sk1_esk24_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4379]) ).
cnf(c_0_4379_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X3,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_fun_pname_bool(sk1_esk24_3(X3,X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4379]) ).
cnf(c_0_4380_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun_pname_bool(sk1_esk19_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4380]) ).
cnf(c_0_4380_1,axiom,
( is_fun_pname_bool(sk1_esk19_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4380]) ).
cnf(c_0_4380_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk19_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4380]) ).
cnf(c_0_4380_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk19_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4380]) ).
cnf(c_0_4380_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk19_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4380]) ).
cnf(c_0_4381_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X3,X1))
| is_fun1661590463l_bool(sk1_esk20_3(X3,X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4381]) ).
cnf(c_0_4381_1,axiom,
( is_fun1661590463l_bool(sk1_esk20_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4381]) ).
cnf(c_0_4381_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun1661590463l_bool(sk1_esk20_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4381]) ).
cnf(c_0_4381_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun1661590463l_bool(sk1_esk20_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4381]) ).
cnf(c_0_4381_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X3,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun1661590463l_bool(sk1_esk20_3(X3,X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4381]) ).
cnf(c_0_4382_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X3))
| hBOOL(hAPP_state_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4382]) ).
cnf(c_0_4382_1,axiom,
( hBOOL(hAPP_state_bool(X1,X3))
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(while(X1,X2)),X3),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4382]) ).
cnf(c_0_4383_0,axiom,
( hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4
| ~ hBOOL(finite132673334e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4383]) ).
cnf(c_0_4383_1,axiom,
( ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4383]) ).
cnf(c_0_4383_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4
| hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4383]) ).
cnf(c_0_4383_3,axiom,
( hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X3),hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),bot_bo1325454745l_bool)) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X1,X2))
| hAPP_f772567431e_bool(X2,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X4),X3)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4383]) ).
cnf(c_0_4384_0,axiom,
( hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4
| ~ hBOOL(finite774711482_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4384]) ).
cnf(c_0_4384_1,axiom,
( ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4384]) ).
cnf(c_0_4384_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4384]) ).
cnf(c_0_4384_3,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X1,X2))
| hAPP_f2143211163_state(X2,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),X3)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4384]) ).
cnf(c_0_4385_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4385]) ).
cnf(c_0_4385_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4385]) ).
cnf(c_0_4385_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4385]) ).
cnf(c_0_4385_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4)
| ~ hBOOL(finite506823037_state(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4385]) ).
cnf(c_0_4385_4,axiom,
( ~ hBOOL(finite506823037_state(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X4))
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X1,hAPP_f2143211163_state(X2,X3)),hAPP_f2143211163_state(X2,X4)) = hAPP_f2143211163_state(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4385]) ).
cnf(c_0_4386_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4386]) ).
cnf(c_0_4386_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4386]) ).
cnf(c_0_4386_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4386]) ).
cnf(c_0_4386_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4)
| ~ hBOOL(finite959343283e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4386]) ).
cnf(c_0_4386_4,axiom,
( ~ hBOOL(finite959343283e_bool(X1,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X3),X4))
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,hAPP_f772567431e_bool(X2,X3)),hAPP_f772567431e_bool(X2,X4)) = hAPP_f772567431e_bool(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4386]) ).
cnf(c_0_4387_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk135_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4387]) ).
cnf(c_0_4387_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk135_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4387]) ).
cnf(c_0_4388_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk134_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4388]) ).
cnf(c_0_4388_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk134_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4388]) ).
cnf(c_0_4389_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| ~ hBOOL(hAPP_pname_bool(X2,sk1_esk133_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4389]) ).
cnf(c_0_4389_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X2,sk1_esk133_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4389]) ).
cnf(c_0_4390_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| ~ hBOOL(hAPP_H513860823e_bool(X2,sk1_esk132_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4390]) ).
cnf(c_0_4390_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,sk1_esk132_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4390]) ).
cnf(c_0_4391_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X3 = bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4391_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| X2 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4391_2,axiom,
( X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4391_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4391_4,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4391_5,axiom,
( ~ hBOOL(finite506823037_state(X4,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X2 = bot_bo1055319631e_bool
| X3 = bot_bo1055319631e_bool
| hAPP_H563960305_state(hAPP_H521649881_state(X4,hAPP_f2143211163_state(X1,X2)),hAPP_f2143211163_state(X1,X3)) = hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4391]) ).
cnf(c_0_4392_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4392_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| X2 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4392_2,axiom,
( X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4392_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4392_4,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4392_5,axiom,
( ~ hBOOL(finite959343283e_bool(X4,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X2 = bot_bo1325454745l_bool
| X3 = bot_bo1325454745l_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,hAPP_f772567431e_bool(X1,X2)),hAPP_f772567431e_bool(X1,X3)) = hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4392]) ).
cnf(c_0_4393_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3))
| is_pname(sk1_esk71_3(X1,X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4393]) ).
cnf(c_0_4393_1,axiom,
( is_pname(sk1_esk71_3(X1,X3,X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4393]) ).
cnf(c_0_4394_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4394]) ).
cnf(c_0_4394_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4394]) ).
cnf(c_0_4395_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4395]) ).
cnf(c_0_4395_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4395]) ).
cnf(c_0_4396_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4396]) ).
cnf(c_0_4396_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4396]) ).
cnf(c_0_4397_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4397]) ).
cnf(c_0_4397_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4397]) ).
cnf(c_0_4398_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4398]) ).
cnf(c_0_4398_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4398]) ).
cnf(c_0_4399_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4399]) ).
cnf(c_0_4399_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4399]) ).
cnf(c_0_4400_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4400]) ).
cnf(c_0_4400_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4400]) ).
cnf(c_0_4401_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4401]) ).
cnf(c_0_4401_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4401]) ).
cnf(c_0_4402_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4402]) ).
cnf(c_0_4402_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4402]) ).
cnf(c_0_4403_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4403]) ).
cnf(c_0_4403_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4403]) ).
cnf(c_0_4404_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4404]) ).
cnf(c_0_4404_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4404]) ).
cnf(c_0_4405_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4405]) ).
cnf(c_0_4405_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4405]) ).
cnf(c_0_4406_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4406]) ).
cnf(c_0_4406_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4406]) ).
cnf(c_0_4407_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4407]) ).
cnf(c_0_4407_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4407]) ).
cnf(c_0_4408_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4408]) ).
cnf(c_0_4408_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4408]) ).
cnf(c_0_4409_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4409]) ).
cnf(c_0_4409_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4409]) ).
cnf(c_0_4410_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4410]) ).
cnf(c_0_4410_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4410]) ).
cnf(c_0_4411_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4411]) ).
cnf(c_0_4411_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4411]) ).
cnf(c_0_4412_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4412]) ).
cnf(c_0_4412_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4412]) ).
cnf(c_0_4413_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4413]) ).
cnf(c_0_4413_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4413]) ).
cnf(c_0_4414_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4414]) ).
cnf(c_0_4414_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4414]) ).
cnf(c_0_4415_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4415]) ).
cnf(c_0_4415_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4415]) ).
cnf(c_0_4416_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4416]) ).
cnf(c_0_4416_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4416]) ).
cnf(c_0_4417_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X1))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4417]) ).
cnf(c_0_4417_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X1))
| X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4417]) ).
cnf(c_0_4417_2,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X2))
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(X3),X4),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4417]) ).
cnf(c_0_4418_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4418]) ).
cnf(c_0_4418_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4418]) ).
cnf(c_0_4419_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4419]) ).
cnf(c_0_4419_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4419]) ).
cnf(c_0_4420_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4420]) ).
cnf(c_0_4420_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4420]) ).
cnf(c_0_4421_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4421]) ).
cnf(c_0_4421_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4421]) ).
cnf(c_0_4422_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4422]) ).
cnf(c_0_4422_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4422]) ).
cnf(c_0_4423_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4423]) ).
cnf(c_0_4423_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4423]) ).
cnf(c_0_4424_0,axiom,
( X1 = X3
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4424]) ).
cnf(c_0_4424_1,axiom,
( X1 = X4
| X1 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4424]) ).
cnf(c_0_4424_2,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X1 = X4
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_4424]) ).
cnf(c_0_4425_0,axiom,
( X1 = X3
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4425]) ).
cnf(c_0_4425_1,axiom,
( X2 = X3
| X1 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4425]) ).
cnf(c_0_4425_2,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 = X3
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_4425]) ).
cnf(c_0_4426_0,axiom,
( X2 = X4
| X1 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4426]) ).
cnf(c_0_4426_1,axiom,
( X1 = X4
| X2 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4426]) ).
cnf(c_0_4426_2,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X1 = X4
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4426]) ).
cnf(c_0_4427_0,axiom,
( X2 = X4
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4427]) ).
cnf(c_0_4427_1,axiom,
( X2 = X3
| X2 = X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4427]) ).
cnf(c_0_4427_2,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 = X3
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4427]) ).
cnf(c_0_4428_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4428]) ).
cnf(c_0_4428_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4428]) ).
cnf(c_0_4429_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4429]) ).
cnf(c_0_4429_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X3,X2))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4429]) ).
cnf(c_0_4429_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1),X2))
| hBOOL(hAPP_H513860823e_bool(X3,X2))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4429]) ).
cnf(c_0_4430_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4430]) ).
cnf(c_0_4430_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4430]) ).
cnf(c_0_4430_2,axiom,
( ~ is_fun_pname_bool(X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4430]) ).
cnf(c_0_4431_0,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk140_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4431]) ).
cnf(c_0_4431_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk140_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4431]) ).
cnf(c_0_4431_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk140_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4431]) ).
cnf(c_0_4432_0,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk138_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4432]) ).
cnf(c_0_4432_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk138_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4432]) ).
cnf(c_0_4432_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),sk1_esk138_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4432]) ).
cnf(c_0_4433_0,axiom,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4433_1,axiom,
( X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4433_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4433_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4433_4,axiom,
( ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4433_5,axiom,
( ~ is_fun1661590463l_bool(X3)
| ~ hBOOL(finite1626890877e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4433]) ).
cnf(c_0_4434_0,axiom,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4434_1,axiom,
( X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4434_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4434_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4434_4,axiom,
( ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4434_5,axiom,
( ~ is_fun_pname_bool(X3)
| ~ hBOOL(finite1282449217_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4434]) ).
cnf(c_0_4435_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4435]) ).
cnf(c_0_4435_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4435]) ).
cnf(c_0_4436_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),sk1_esk141_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4436]) ).
cnf(c_0_4436_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),sk1_esk141_2(X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4436]) ).
cnf(c_0_4437_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),sk1_esk139_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4437]) ).
cnf(c_0_4437_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),sk1_esk139_2(X1,X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4437]) ).
cnf(c_0_4438_0,axiom,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4438]) ).
cnf(c_0_4438_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4438]) ).
cnf(c_0_4438_2,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4438]) ).
cnf(c_0_4438_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| ~ hBOOL(finite132673334e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4438]) ).
cnf(c_0_4438_4,axiom,
( ~ hBOOL(finite132673334e_bool(X4,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4438]) ).
cnf(c_0_4439_0,axiom,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4439]) ).
cnf(c_0_4439_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4439]) ).
cnf(c_0_4439_2,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4439]) ).
cnf(c_0_4439_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| ~ hBOOL(finite774711482_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4439]) ).
cnf(c_0_4439_4,axiom,
( ~ hBOOL(finite774711482_state(X4,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4439]) ).
cnf(c_0_4440_0,axiom,
( hBOOL(hAPP_pname_bool(X3,X1))
| X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4440]) ).
cnf(c_0_4440_1,axiom,
( X2 = X1
| hBOOL(hAPP_pname_bool(X3,X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4440]) ).
cnf(c_0_4440_2,axiom,
( ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_pname_bool(X3,X1))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4440]) ).
cnf(c_0_4440_3,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_pname_bool(X3,X1))
| ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4440]) ).
cnf(c_0_4440_4,axiom,
( ~ hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4440]) ).
cnf(c_0_4449_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4449_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != X2
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4449_2,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4449_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != X2
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4449_4,axiom,
( ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != X2
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4449_5,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),X3) != bot_bo844097828e_bool
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X4))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4449]) ).
cnf(c_0_4450_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4450]) ).
cnf(c_0_4450_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4450]) ).
cnf(c_0_4450_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4450]) ).
cnf(c_0_4451_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4451]) ).
cnf(c_0_4451_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4451]) ).
cnf(c_0_4451_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4451]) ).
cnf(c_0_4452_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4452]) ).
cnf(c_0_4452_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4452]) ).
cnf(c_0_4452_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4452]) ).
cnf(c_0_4453_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4453]) ).
cnf(c_0_4453_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4453]) ).
cnf(c_0_4453_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4453]) ).
cnf(c_0_4454_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4454]) ).
cnf(c_0_4454_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4454]) ).
cnf(c_0_4454_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4454]) ).
cnf(c_0_4455_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4455]) ).
cnf(c_0_4455_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4455]) ).
cnf(c_0_4455_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4455]) ).
cnf(c_0_4456_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4456]) ).
cnf(c_0_4456_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4456]) ).
cnf(c_0_4456_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4456]) ).
cnf(c_0_4457_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4457]) ).
cnf(c_0_4457_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4457]) ).
cnf(c_0_4457_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4457]) ).
cnf(c_0_4458_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4458]) ).
cnf(c_0_4458_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4458]) ).
cnf(c_0_4458_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4458]) ).
cnf(c_0_4459_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4459]) ).
cnf(c_0_4459_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4459]) ).
cnf(c_0_4459_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4459]) ).
cnf(c_0_4460_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4460]) ).
cnf(c_0_4460_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4460]) ).
cnf(c_0_4460_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4460]) ).
cnf(c_0_4461_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4461]) ).
cnf(c_0_4461_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4461]) ).
cnf(c_0_4461_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4461]) ).
cnf(c_0_4462_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4462]) ).
cnf(c_0_4462_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4462]) ).
cnf(c_0_4462_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4462]) ).
cnf(c_0_4463_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4463]) ).
cnf(c_0_4463_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4463]) ).
cnf(c_0_4463_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4463]) ).
cnf(c_0_4464_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ is_fun_pname_bool(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4464]) ).
cnf(c_0_4464_1,axiom,
( X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| ~ is_fun_pname_bool(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4464]) ).
cnf(c_0_4464_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ is_fun_pname_bool(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4464]) ).
cnf(c_0_4464_3,axiom,
( ~ is_fun_pname_bool(X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X3))
| X1 != hAPP_f631639356e_bool(image_275883510_state(X2),X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4464]) ).
cnf(c_0_4465_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ is_fun_pname_bool(X1)
| X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4465]) ).
cnf(c_0_4465_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4465]) ).
cnf(c_0_4465_2,axiom,
( X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4465]) ).
cnf(c_0_4465_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X4),X3))
| X1 != hAPP_f1745235422e_bool(image_1925245338_pname(X2),X4)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4465]) ).
cnf(c_0_4466_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4466]) ).
cnf(c_0_4466_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4466]) ).
cnf(c_0_4466_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4466]) ).
cnf(c_0_4467_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4467]) ).
cnf(c_0_4467_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4467]) ).
cnf(c_0_4467_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f280588268e_bool(image_636285904_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4467]) ).
cnf(c_0_4468_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4468]) ).
cnf(c_0_4468_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4468]) ).
cnf(c_0_4468_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f674760225e_bool(image_1283814551_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4468]) ).
cnf(c_0_4469_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4469]) ).
cnf(c_0_4469_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4469]) ).
cnf(c_0_4469_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f772567431e_bool(image_774712299_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4469]) ).
cnf(c_0_4470_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4470]) ).
cnf(c_0_4470_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4470]) ).
cnf(c_0_4470_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f780887186e_bool(image_936554724_state(X2),X3)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4470]) ).
cnf(c_0_4471_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4471]) ).
cnf(c_0_4471_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4471]) ).
cnf(c_0_4471_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(image_pname_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4471]) ).
cnf(c_0_4472_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4472]) ).
cnf(c_0_4472_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4472]) ).
cnf(c_0_4472_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f1874607724l_bool(image_505480954e_bool(X2),X3)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4472]) ).
cnf(c_0_4473_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4473]) ).
cnf(c_0_4473_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4473]) ).
cnf(c_0_4473_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f434788991l_bool(image_47868345e_bool(X2),X3)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4473]) ).
cnf(c_0_4474_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4474]) ).
cnf(c_0_4474_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4474]) ).
cnf(c_0_4474_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4474]) ).
cnf(c_0_4475_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4475]) ).
cnf(c_0_4475_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4475]) ).
cnf(c_0_4475_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),hAPP_f854625363l_bool(image_277167759e_bool(X2),X3)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4475]) ).
cnf(c_0_4476_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4476]) ).
cnf(c_0_4476_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4476]) ).
cnf(c_0_4476_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),hAPP_f748867288l_bool(image_1259634916e_bool(X2),X3)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4476]) ).
cnf(c_0_4477_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4477]) ).
cnf(c_0_4477_1,axiom,
( X3 = X2
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4477]) ).
cnf(c_0_4477_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X1),X2))
| X3 = X2
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4477]) ).
cnf(c_0_4478_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| ~ is_pname(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4478]) ).
cnf(c_0_4478_1,axiom,
( X1 != hAPP_p1842370726_state(X2,X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| ~ is_pname(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4478]) ).
cnf(c_0_4478_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ is_pname(X4) ),
inference(literals_permutation,[status(thm)],[c_0_4478]) ).
cnf(c_0_4478_3,axiom,
( ~ is_pname(X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4478]) ).
cnf(c_0_4479_0,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4479]) ).
cnf(c_0_4479_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4479]) ).
cnf(c_0_4479_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != X2
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4479]) ).
cnf(c_0_4479_3,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X4),X3) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4479]) ).
cnf(c_0_4480_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4480]) ).
cnf(c_0_4480_1,axiom,
( X1 != hAPP_p1842370726_state(X2,X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4480]) ).
cnf(c_0_4480_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4480]) ).
cnf(c_0_4481_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| X1 != hAPP_H1344248906_pname(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4481]) ).
cnf(c_0_4481_1,axiom,
( X1 != hAPP_H1344248906_pname(X2,X4)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4481]) ).
cnf(c_0_4481_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| X1 != hAPP_H1344248906_pname(X2,X4)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4481]) ).
cnf(c_0_4482_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| X1 != hAPP_p1842370726_state(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4482]) ).
cnf(c_0_4482_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3)))
| X1 != hAPP_p1842370726_state(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4482]) ).
cnf(c_0_4482_2,axiom,
( X1 != hAPP_p1842370726_state(X2,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X4),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f631639356e_bool(image_275883510_state(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4482]) ).
cnf(c_0_4483_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| X1 != hAPP_H1344248906_pname(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4483]) ).
cnf(c_0_4483_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3)))
| X1 != hAPP_H1344248906_pname(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4483]) ).
cnf(c_0_4483_2,axiom,
( X1 != hAPP_H1344248906_pname(X2,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X4),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f1745235422e_bool(image_1925245338_pname(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4483]) ).
cnf(c_0_4484_0,axiom,
( hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)))
| hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk135_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4484]) ).
cnf(c_0_4484_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk135_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4484]) ).
cnf(c_0_4485_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk134_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4485]) ).
cnf(c_0_4485_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk134_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4485]) ).
cnf(c_0_4486_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| hBOOL(hAPP_pname_bool(X1,sk1_esk133_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4486]) ).
cnf(c_0_4486_1,axiom,
( hBOOL(hAPP_pname_bool(X1,sk1_esk133_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4486]) ).
cnf(c_0_4487_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk132_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4487]) ).
cnf(c_0_4487_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk132_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4487]) ).
cnf(c_0_4488_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4488]) ).
cnf(c_0_4488_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4488]) ).
cnf(c_0_4489_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4489]) ).
cnf(c_0_4489_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4489]) ).
cnf(c_0_4490_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4490]) ).
cnf(c_0_4490_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4490]) ).
cnf(c_0_4491_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4491]) ).
cnf(c_0_4491_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4491]) ).
cnf(c_0_4492_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4492]) ).
cnf(c_0_4492_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4492]) ).
cnf(c_0_4493_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4493]) ).
cnf(c_0_4493_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4493]) ).
cnf(c_0_4494_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4494]) ).
cnf(c_0_4494_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4494]) ).
cnf(c_0_4495_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4495]) ).
cnf(c_0_4495_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4495]) ).
cnf(c_0_4496_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4496]) ).
cnf(c_0_4496_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1)))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4496]) ).
cnf(c_0_4497_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4497]) ).
cnf(c_0_4497_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4497]) ).
cnf(c_0_4498_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4498]) ).
cnf(c_0_4498_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X1)))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4498]) ).
cnf(c_0_4499_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4499]) ).
cnf(c_0_4499_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X1)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4499]) ).
cnf(c_0_4500_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4500]) ).
cnf(c_0_4500_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4500]) ).
cnf(c_0_4501_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4501]) ).
cnf(c_0_4501_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4501]) ).
cnf(c_0_4502_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4502]) ).
cnf(c_0_4502_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4502]) ).
cnf(c_0_4503_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4503]) ).
cnf(c_0_4503_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4503]) ).
cnf(c_0_4504_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4)
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4504]) ).
cnf(c_0_4504_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4)
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(finite959343283e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4504]) ).
cnf(c_0_4504_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4)
| ~ hBOOL(finite959343283e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4504]) ).
cnf(c_0_4504_3,axiom,
( ~ hBOOL(finite959343283e_bool(X1,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X4))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f105100493l_bool(member402455436e_bool,X2),X4))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X1,X2),hAPP_f772567431e_bool(X3,X4)) = hAPP_f772567431e_bool(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4504]) ).
cnf(c_0_4505_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4505]) ).
cnf(c_0_4505_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(finite1268145088e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4505]) ).
cnf(c_0_4505_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4)
| ~ hBOOL(finite1268145088e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4505]) ).
cnf(c_0_4505_3,axiom,
( ~ hBOOL(finite1268145088e_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X4))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X4))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X1,X2),hAPP_f674760225e_bool(X3,X4)) = hAPP_f674760225e_bool(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4505]) ).
cnf(c_0_4506_0,axiom,
( hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4506]) ).
cnf(c_0_4506_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4)
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(finite506823037_state(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4506]) ).
cnf(c_0_4506_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4)
| ~ hBOOL(finite506823037_state(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4506]) ).
cnf(c_0_4506_3,axiom,
( ~ hBOOL(finite506823037_state(X1,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X4))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X4))
| hAPP_H563960305_state(hAPP_H521649881_state(X1,X2),hAPP_f2143211163_state(X3,X4)) = hAPP_f2143211163_state(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4506]) ).
cnf(c_0_4507_0,axiom,
( hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4507]) ).
cnf(c_0_4507_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(finite89670078_pname(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4507]) ).
cnf(c_0_4507_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4)
| ~ hBOOL(finite89670078_pname(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4507]) ).
cnf(c_0_4507_3,axiom,
( ~ hBOOL(finite89670078_pname(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X4))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X4))
| hAPP_pname_pname(hAPP_p1170154830_pname(X1,X2),hAPP_f1297739591_pname(X3,X4)) = hAPP_f1297739591_pname(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_4507]) ).
cnf(c_0_4514_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4514_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4514_2,axiom,
( X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4514_3,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4514_4,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4514_5,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4514]) ).
cnf(c_0_4519_0,axiom,
( X1 = X4
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_4519]) ).
cnf(c_0_4519_1,axiom,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_4519]) ).
cnf(c_0_4520_0,axiom,
( X2 = X5
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_4520]) ).
cnf(c_0_4520_1,axiom,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X2 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_4520]) ).
cnf(c_0_4521_0,axiom,
( X3 = X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_4521]) ).
cnf(c_0_4521_1,axiom,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) != hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X3 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_4521]) ).
cnf(c_0_4522_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4522]) ).
cnf(c_0_4522_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 = X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4522]) ).
cnf(c_0_4522_2,axiom,
( X2 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4522]) ).
cnf(c_0_4522_3,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| X2 = X3
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4522]) ).
cnf(c_0_4523_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4523]) ).
cnf(c_0_4523_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4523]) ).
cnf(c_0_4524_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4524]) ).
cnf(c_0_4524_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4524]) ).
cnf(c_0_4525_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4525]) ).
cnf(c_0_4525_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4525]) ).
cnf(c_0_4525_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4525]) ).
cnf(c_0_4526_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4526]) ).
cnf(c_0_4526_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4526]) ).
cnf(c_0_4526_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4526]) ).
cnf(c_0_4527_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4527]) ).
cnf(c_0_4527_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4527]) ).
cnf(c_0_4527_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4527]) ).
cnf(c_0_4528_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4528]) ).
cnf(c_0_4528_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4528]) ).
cnf(c_0_4528_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4528]) ).
cnf(c_0_4529_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4529]) ).
cnf(c_0_4529_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4529]) ).
cnf(c_0_4529_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4529]) ).
cnf(c_0_4530_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4530]) ).
cnf(c_0_4530_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4530]) ).
cnf(c_0_4530_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4530]) ).
cnf(c_0_4531_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4531]) ).
cnf(c_0_4531_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4531]) ).
cnf(c_0_4531_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4531]) ).
cnf(c_0_4532_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4532]) ).
cnf(c_0_4532_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4532]) ).
cnf(c_0_4532_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4532]) ).
cnf(c_0_4533_0,axiom,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4533]) ).
cnf(c_0_4533_1,axiom,
( ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4533]) ).
cnf(c_0_4533_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4533]) ).
cnf(c_0_4533_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4533]) ).
cnf(c_0_4533_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4533]) ).
cnf(c_0_4534_0,axiom,
( X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4534]) ).
cnf(c_0_4534_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = X2
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4534]) ).
cnf(c_0_4534_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4534]) ).
cnf(c_0_4534_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4534]) ).
cnf(c_0_4534_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4534]) ).
cnf(c_0_4535_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4535]) ).
cnf(c_0_4535_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4535]) ).
cnf(c_0_4535_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4535]) ).
cnf(c_0_4535_3,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4535]) ).
cnf(c_0_4535_4,axiom,
( ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4535]) ).
cnf(c_0_4536_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4536]) ).
cnf(c_0_4536_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4536]) ).
cnf(c_0_4536_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4536]) ).
cnf(c_0_4536_3,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4536]) ).
cnf(c_0_4536_4,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4536]) ).
cnf(c_0_4537_0,axiom,
( X2 = X1
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4537]) ).
cnf(c_0_4537_1,axiom,
( ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4537]) ).
cnf(c_0_4537_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4537]) ).
cnf(c_0_4537_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4537]) ).
cnf(c_0_4537_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4537]) ).
cnf(c_0_4538_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4538]) ).
cnf(c_0_4538_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4538]) ).
cnf(c_0_4538_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4538]) ).
cnf(c_0_4538_3,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4538]) ).
cnf(c_0_4538_4,axiom,
( ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4538]) ).
cnf(c_0_4539_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk29_2(X2,X1)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4539]) ).
cnf(c_0_4539_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk29_2(X2,X1)),X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4539]) ).
cnf(c_0_4540_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk28_2(X2,X1)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4540]) ).
cnf(c_0_4540_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk28_2(X2,X1)),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4540]) ).
cnf(c_0_4541_0,axiom,
( hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| X3 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4541]) ).
cnf(c_0_4541_1,axiom,
( X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4541]) ).
cnf(c_0_4541_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4541]) ).
cnf(c_0_4541_3,axiom,
( ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3))
| ~ is_fun1661590463l_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4541]) ).
cnf(c_0_4541_4,axiom,
( ~ is_fun1661590463l_bool(X3)
| ~ hBOOL(finite1268145088e_bool(X4,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| X3 = bot_bo1649642514l_bool
| hAPP_f674760225e_bool(X1,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(X4,X2),hAPP_f674760225e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4541]) ).
cnf(c_0_4542_0,axiom,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| X3 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4542]) ).
cnf(c_0_4542_1,axiom,
( X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4542]) ).
cnf(c_0_4542_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4542]) ).
cnf(c_0_4542_3,axiom,
( ~ hBOOL(finite89670078_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3))
| ~ is_fun_pname_bool(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4542]) ).
cnf(c_0_4542_4,axiom,
( ~ is_fun_pname_bool(X3)
| ~ hBOOL(finite89670078_pname(X4,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| X3 = bot_bo844097828e_bool
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_pname_pname(hAPP_p1170154830_pname(X4,X2),hAPP_f1297739591_pname(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4542]) ).
cnf(c_0_4543_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_1,axiom,
( ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_3,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_4,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| X3 != X1
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_5,axiom,
( X3 != X1
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| X4 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4543_6,axiom,
( X4 != X2
| X3 != X1
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4543]) ).
cnf(c_0_4544_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_1,axiom,
( ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X2)
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X3)
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_3,axiom,
( ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| ~ is_pname(X4)
| X3 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_4,axiom,
( ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| X3 != X2
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_5,axiom,
( X3 != X2
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))
| X4 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4544_6,axiom,
( X4 != X1
| X3 != X2
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X4),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),bot_bo844097828e_bool)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4544]) ).
cnf(c_0_4545_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4545_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4545_2,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4545_3,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| ~ is_fun_pname_bool(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4545_4,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4545_5,axiom,
( X1 != X2
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X1) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4545]) ).
cnf(c_0_4546_0,axiom,
( hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| X3 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4546]) ).
cnf(c_0_4546_1,axiom,
( X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4546]) ).
cnf(c_0_4546_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3))
| ~ hBOOL(finite959343283e_bool(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4546]) ).
cnf(c_0_4546_3,axiom,
( ~ hBOOL(finite959343283e_bool(X4,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X3))
| X3 = bot_bo1325454745l_bool
| hAPP_f772567431e_bool(X1,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(X4,X2),hAPP_f772567431e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4546]) ).
cnf(c_0_4547_0,axiom,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| X3 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4547]) ).
cnf(c_0_4547_1,axiom,
( X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4547]) ).
cnf(c_0_4547_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3))
| ~ hBOOL(finite506823037_state(X4,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4547]) ).
cnf(c_0_4547_3,axiom,
( ~ hBOOL(finite506823037_state(X4,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X3))
| X3 = bot_bo1055319631e_bool
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_H563960305_state(hAPP_H521649881_state(X4,X2),hAPP_f2143211163_state(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4547]) ).
cnf(c_0_4548_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)))
| is_fun_pname_bool(sk1_esk134_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4548]) ).
cnf(c_0_4548_1,axiom,
( is_fun_pname_bool(sk1_esk134_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4548]) ).
cnf(c_0_4549_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)))
| is_pname(sk1_esk133_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4549]) ).
cnf(c_0_4549_1,axiom,
( is_pname(sk1_esk133_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4549]) ).
cnf(c_0_4551_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4551]) ).
cnf(c_0_4551_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4551]) ).
cnf(c_0_4551_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4551]) ).
cnf(c_0_4552_0,axiom,
( X2 = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4552]) ).
cnf(c_0_4552_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4552]) ).
cnf(c_0_4552_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4552]) ).
cnf(c_0_4553_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4553]) ).
cnf(c_0_4553_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4553]) ).
cnf(c_0_4553_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4553]) ).
cnf(c_0_4554_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4554]) ).
cnf(c_0_4554_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4554]) ).
cnf(c_0_4554_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4554]) ).
cnf(c_0_4555_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4555]) ).
cnf(c_0_4555_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4555]) ).
cnf(c_0_4555_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4555]) ).
cnf(c_0_4556_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4556]) ).
cnf(c_0_4556_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4556]) ).
cnf(c_0_4556_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4556]) ).
cnf(c_0_4557_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4557]) ).
cnf(c_0_4557_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4557]) ).
cnf(c_0_4557_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4557]) ).
cnf(c_0_4557_3,axiom,
( X2 != X1
| ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4557]) ).
cnf(c_0_4558_0,axiom,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4558]) ).
cnf(c_0_4558_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4558]) ).
cnf(c_0_4558_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ hBOOL(hAPP_pname_bool(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4558]) ).
cnf(c_0_4558_3,axiom,
( ~ hBOOL(hAPP_pname_bool(X3,X1))
| ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4558]) ).
cnf(c_0_4559_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4559]) ).
cnf(c_0_4559_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4559]) ).
cnf(c_0_4559_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4559]) ).
cnf(c_0_4559_3,axiom,
( X2 != X1
| ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4559]) ).
cnf(c_0_4560_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4560]) ).
cnf(c_0_4560_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4560]) ).
cnf(c_0_4560_2,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4560]) ).
cnf(c_0_4560_3,axiom,
( X2 != X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4560]) ).
cnf(c_0_4561_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4561]) ).
cnf(c_0_4561_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4561]) ).
cnf(c_0_4561_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4561]) ).
cnf(c_0_4562_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4562]) ).
cnf(c_0_4562_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4562]) ).
cnf(c_0_4562_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4562]) ).
cnf(c_0_4563_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4563]) ).
cnf(c_0_4563_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4563]) ).
cnf(c_0_4564_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4564]) ).
cnf(c_0_4564_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4564]) ).
cnf(c_0_4565_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4565]) ).
cnf(c_0_4565_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_4565]) ).
cnf(c_0_4566_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4566]) ).
cnf(c_0_4566_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4566]) ).
cnf(c_0_4567_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4567]) ).
cnf(c_0_4567_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4567]) ).
cnf(c_0_4568_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4568]) ).
cnf(c_0_4568_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4568]) ).
cnf(c_0_4569_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4569]) ).
cnf(c_0_4569_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4569]) ).
cnf(c_0_4570_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4570]) ).
cnf(c_0_4570_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X3))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4570]) ).
cnf(c_0_4571_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4571]) ).
cnf(c_0_4571_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X3))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4571]) ).
cnf(c_0_4572_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4572]) ).
cnf(c_0_4572_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X3))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4572]) ).
cnf(c_0_4573_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4573]) ).
cnf(c_0_4573_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X3))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4573]) ).
cnf(c_0_4574_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4574]) ).
cnf(c_0_4574_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X3))
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4574]) ).
cnf(c_0_4575_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk68_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4575_1,axiom,
( is_pname(sk1_esk68_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4575_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X2),X1)))
| is_pname(sk1_esk68_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4575]) ).
cnf(c_0_4576_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk64_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4576_1,axiom,
( is_fun_pname_bool(sk1_esk64_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4576_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X2),X1)))
| is_fun_pname_bool(sk1_esk64_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4576]) ).
cnf(c_0_4577_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk62_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4577]) ).
cnf(c_0_4577_1,axiom,
( is_pname(sk1_esk62_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4577]) ).
cnf(c_0_4577_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(image_pname_pname(X2),X1)))
| is_pname(sk1_esk62_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4577]) ).
cnf(c_0_4578_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk60_2(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4578]) ).
cnf(c_0_4578_1,axiom,
( is_fun_pname_bool(sk1_esk60_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4578]) ).
cnf(c_0_4578_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X2),X1)))
| is_fun_pname_bool(sk1_esk60_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4578]) ).
cnf(c_0_4579_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk58_2(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4579_1,axiom,
( is_pname(sk1_esk58_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4579_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X2),X1)))
| is_pname(sk1_esk58_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4579]) ).
cnf(c_0_4580_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk57_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4580]) ).
cnf(c_0_4580_1,axiom,
( is_pname(sk1_esk57_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4580]) ).
cnf(c_0_4580_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X2),X1)))
| is_pname(sk1_esk57_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4580]) ).
cnf(c_0_4599_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X4
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4599_1,axiom,
( X2 != X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4599_2,axiom,
( X1 != X3
| X2 != X4
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4599]) ).
cnf(c_0_4600_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X2 != X3
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4600_1,axiom,
( X2 != X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool))
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4600_2,axiom,
( X1 != X4
| X2 != X3
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X4),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4600]) ).
cnf(c_0_4601_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk156_2(X1,X2)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4601]) ).
cnf(c_0_4601_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk156_2(X1,X2)),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4601]) ).
cnf(c_0_4602_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk157_2(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4602]) ).
cnf(c_0_4602_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk157_2(X1,X2)),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4602]) ).
cnf(c_0_4603_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk154_2(X1,X2)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4603]) ).
cnf(c_0_4603_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk154_2(X1,X2)),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4603]) ).
cnf(c_0_4604_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk155_2(X1,X2)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4604]) ).
cnf(c_0_4604_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk155_2(X1,X2)),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4604]) ).
cnf(c_0_4613_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4613]) ).
cnf(c_0_4613_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_4613]) ).
cnf(c_0_4614_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4614_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4614_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4614_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4614_4,axiom,
( X1 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4614]) ).
cnf(c_0_4615_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4615]) ).
cnf(c_0_4615_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4615]) ).
cnf(c_0_4616_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4616]) ).
cnf(c_0_4616_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4616]) ).
cnf(c_0_4617_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4617]) ).
cnf(c_0_4617_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(minus_164259166l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4617]) ).
cnf(c_0_4618_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4618]) ).
cnf(c_0_4618_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(minus_1290075917l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4618]) ).
cnf(c_0_4619_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4619]) ).
cnf(c_0_4619_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4619]) ).
cnf(c_0_4620_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4620]) ).
cnf(c_0_4620_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4620]) ).
cnf(c_0_4621_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4621]) ).
cnf(c_0_4621_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4621]) ).
cnf(c_0_4622_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4622]) ).
cnf(c_0_4622_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4622]) ).
cnf(c_0_4623_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4623]) ).
cnf(c_0_4623_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4623]) ).
cnf(c_0_4624_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4624]) ).
cnf(c_0_4624_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4624]) ).
cnf(c_0_4625_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4625]) ).
cnf(c_0_4625_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4625]) ).
cnf(c_0_4626_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4626]) ).
cnf(c_0_4626_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4626]) ).
cnf(c_0_4627_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4627]) ).
cnf(c_0_4627_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4627]) ).
cnf(c_0_4628_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4628]) ).
cnf(c_0_4628_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4628]) ).
cnf(c_0_4629_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4629]) ).
cnf(c_0_4629_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4629]) ).
cnf(c_0_4630_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4630]) ).
cnf(c_0_4630_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4630]) ).
cnf(c_0_4631_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4631]) ).
cnf(c_0_4631_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4631]) ).
cnf(c_0_4632_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4632]) ).
cnf(c_0_4632_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4632]) ).
cnf(c_0_4633_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4633]) ).
cnf(c_0_4633_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4633]) ).
cnf(c_0_4634_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4634]) ).
cnf(c_0_4634_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4634]) ).
cnf(c_0_4637_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,sk1_esk137_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4637]) ).
cnf(c_0_4637_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,sk1_esk137_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4637]) ).
cnf(c_0_4638_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,sk1_esk136_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4638]) ).
cnf(c_0_4638_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X2,sk1_esk136_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4638]) ).
cnf(c_0_4639_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4639]) ).
cnf(c_0_4639_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4639]) ).
cnf(c_0_4639_2,axiom,
( X2 != X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4639]) ).
cnf(c_0_4640_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4640]) ).
cnf(c_0_4640_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4640]) ).
cnf(c_0_4640_2,axiom,
( X1 != X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4640]) ).
cnf(c_0_4641_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4641_2,axiom,
( X1 != X3
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4641]) ).
cnf(c_0_4642_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4642_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4642_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4642]) ).
cnf(c_0_4643_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4643_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4643_2,axiom,
( X2 != X3
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4643]) ).
cnf(c_0_4644_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4644]) ).
cnf(c_0_4644_1,axiom,
( X3 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4644]) ).
cnf(c_0_4644_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X3))
| X3 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4644]) ).
cnf(c_0_4645_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4645]) ).
cnf(c_0_4645_1,axiom,
( X3 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4645]) ).
cnf(c_0_4645_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| X3 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4645]) ).
cnf(c_0_4646_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4646_1,axiom,
( X3 != X1
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4646_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X2))
| X3 != X1
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4646]) ).
cnf(c_0_4647_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4647]) ).
cnf(c_0_4647_1,axiom,
( X3 != X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4647]) ).
cnf(c_0_4647_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| X3 != X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4647]) ).
cnf(c_0_4648_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4648_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4648_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4648_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(X2,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4648]) ).
cnf(c_0_4649_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4649_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4649_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4649_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4649]) ).
cnf(c_0_4650_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4650_1,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4650_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4650_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(X2,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4650]) ).
cnf(c_0_4651_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4651_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4651_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4651_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4651]) ).
cnf(c_0_4652_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4652]) ).
cnf(c_0_4652_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4652]) ).
cnf(c_0_4652_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4652]) ).
cnf(c_0_4653_0,axiom,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_pname_bool(X3,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4653]) ).
cnf(c_0_4653_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X3,X2))
| hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4653]) ).
cnf(c_0_4653_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| ~ hBOOL(hAPP_pname_bool(X3,X2))
| hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4653]) ).
cnf(c_0_4654_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4654]) ).
cnf(c_0_4654_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_H513860823e_bool(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4654]) ).
cnf(c_0_4654_2,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X3,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4654]) ).
cnf(c_0_4655_0,axiom,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| ~ hBOOL(hAPP_pname_bool(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4655]) ).
cnf(c_0_4655_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_pname_bool(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4655]) ).
cnf(c_0_4655_2,axiom,
( ~ hBOOL(hAPP_pname_bool(X3,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))
| hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4655]) ).
cnf(c_0_4656_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk48_2(X2,X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4656_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4656_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4656_3,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X2,bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk48_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4656]) ).
cnf(c_0_4657_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk46_2(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4657_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4657_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4657_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk46_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4657]) ).
cnf(c_0_4658_0,axiom,
( hBOOL(hAPP_f239102607l_bool(X2,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk44_2(X2,X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4658_1,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4658_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1))
| ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4658_3,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(X2,bot_bo1325454745l_bool))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk44_2(X2,X1)))
| hBOOL(hAPP_f239102607l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4658]) ).
cnf(c_0_4659_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk42_2(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4659_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4659_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4659_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk42_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4659]) ).
cnf(c_0_4660_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_3,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_4,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4660_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4660]) ).
cnf(c_0_4661_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_3,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_4,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4661_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4661]) ).
cnf(c_0_4662_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_3,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_4,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4662_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk108_2(X2,X1)))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4662]) ).
cnf(c_0_4663_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_3,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_4,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4663_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk102_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4663]) ).
cnf(c_0_4664_0,axiom,
( hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4664_1,axiom,
( ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4664_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4664_3,axiom,
( X2 != X1
| ~ is_pname(X2)
| ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4664]) ).
cnf(c_0_4665_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk140_2(X2,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4665]) ).
cnf(c_0_4665_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk140_2(X2,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4665]) ).
cnf(c_0_4665_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk140_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4665]) ).
cnf(c_0_4666_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk138_2(X2,X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4666_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk138_2(X2,X1)) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4666_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),sk1_esk138_2(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4666]) ).
cnf(c_0_4667_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4667]) ).
cnf(c_0_4667_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4667]) ).
cnf(c_0_4667_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4667]) ).
cnf(c_0_4668_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4668]) ).
cnf(c_0_4668_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4668]) ).
cnf(c_0_4668_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4668]) ).
cnf(c_0_4669_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4669]) ).
cnf(c_0_4669_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4669]) ).
cnf(c_0_4669_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4669]) ).
cnf(c_0_4670_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4670]) ).
cnf(c_0_4670_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4670]) ).
cnf(c_0_4670_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4670]) ).
cnf(c_0_4671_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4671_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4671_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4671]) ).
cnf(c_0_4672_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4672_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4672_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4672]) ).
cnf(c_0_4673_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4673]) ).
cnf(c_0_4673_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4673]) ).
cnf(c_0_4673_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(hAPP_f1269496639l_bool(ord_le1076702565l_bool,X1),X2))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4673]) ).
cnf(c_0_4674_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4674_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4674_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4674]) ).
cnf(c_0_4675_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X1)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4675]) ).
cnf(c_0_4675_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X1)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4675]) ).
cnf(c_0_4676_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4676]) ).
cnf(c_0_4676_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X3),X2))
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4676]) ).
cnf(c_0_4677_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4677]) ).
cnf(c_0_4677_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4677]) ).
cnf(c_0_4677_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1)))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4677]) ).
cnf(c_0_4678_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),sk1_esk141_2(X1,X2)) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4678]) ).
cnf(c_0_4678_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),sk1_esk141_2(X1,X2)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4678]) ).
cnf(c_0_4679_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),sk1_esk139_2(X1,X2)) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4679]) ).
cnf(c_0_4679_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),sk1_esk139_2(X1,X2)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4679]) ).
cnf(c_0_4680_0,axiom,
( some_com(sk1_esk69_2(X2,X1)) = hAPP_p799580910on_com(X1,X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4680]) ).
cnf(c_0_4680_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(X1)))
| some_com(sk1_esk69_2(X2,X1)) = hAPP_p799580910on_com(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4680]) ).
cnf(c_0_4681_0,axiom,
( hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X3 != X6
| X2 != X5
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4681_1,axiom,
( X3 != X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X2 != X5
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4681_2,axiom,
( X2 != X5
| X3 != X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6)
| X1 != X4 ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4681_3,axiom,
( X1 != X4
| X2 != X5
| X3 != X6
| hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X1),X2),X3) = hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X4),X5),X6) ),
inference(literals_permutation,[status(thm)],[c_0_4681]) ).
cnf(c_0_4682_0,axiom,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk74_1(X1)),sk1_esk75_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4682]) ).
cnf(c_0_4682_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk74_1(X1)),sk1_esk75_1(X1)))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4682]) ).
cnf(c_0_4683_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3))
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_4683]) ).
cnf(c_0_4683_1,axiom,
( X1 != X3
| hBOOL(hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4683]) ).
cnf(c_0_4684_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4684_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4684_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X3))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4684]) ).
cnf(c_0_4685_0,axiom,
( hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4685]) ).
cnf(c_0_4685_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X2))
| hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4685]) ).
cnf(c_0_4685_2,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,X2))
| hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4685]) ).
cnf(c_0_4686_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4686]) ).
cnf(c_0_4686_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4686]) ).
cnf(c_0_4686_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4686]) ).
cnf(c_0_4687_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4687]) ).
cnf(c_0_4687_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4687]) ).
cnf(c_0_4687_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4687]) ).
cnf(c_0_4688_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4688]) ).
cnf(c_0_4688_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4688]) ).
cnf(c_0_4688_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4688]) ).
cnf(c_0_4689_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4689]) ).
cnf(c_0_4689_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4689]) ).
cnf(c_0_4689_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4689]) ).
cnf(c_0_4690_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4690]) ).
cnf(c_0_4690_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4690]) ).
cnf(c_0_4690_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4690]) ).
cnf(c_0_4691_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4691]) ).
cnf(c_0_4691_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4691]) ).
cnf(c_0_4691_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4691]) ).
cnf(c_0_4692_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4692]) ).
cnf(c_0_4692_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4692]) ).
cnf(c_0_4692_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4692]) ).
cnf(c_0_4693_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4693_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4693_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4693]) ).
cnf(c_0_4694_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4694_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4694_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4694]) ).
cnf(c_0_4695_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4695_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4695_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4695]) ).
cnf(c_0_4696_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4696_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4696_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4696]) ).
cnf(c_0_4697_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4697]) ).
cnf(c_0_4697_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = X2
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4697]) ).
cnf(c_0_4697_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4697]) ).
cnf(c_0_4698_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4698]) ).
cnf(c_0_4698_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4698]) ).
cnf(c_0_4699_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != bot_bo844097828e_bool
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_3,axiom,
( X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_fun_pname_bool(X3)
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_4,axiom,
( ~ is_fun_pname_bool(X3)
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4699_5,axiom,
( ~ is_pname(X2)
| ~ is_fun_pname_bool(X3)
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4699]) ).
cnf(c_0_4700_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk137_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4700]) ).
cnf(c_0_4700_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk137_2(X2,X1)))
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4700]) ).
cnf(c_0_4701_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_pname_bool(X1,sk1_esk136_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4701]) ).
cnf(c_0_4701_1,axiom,
( hBOOL(hAPP_pname_bool(X1,sk1_esk136_2(X2,X1)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4701]) ).
cnf(c_0_4702_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4702]) ).
cnf(c_0_4702_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4702]) ).
cnf(c_0_4703_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4703]) ).
cnf(c_0_4703_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4703]) ).
cnf(c_0_4704_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4704]) ).
cnf(c_0_4704_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4704]) ).
cnf(c_0_4705_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4705]) ).
cnf(c_0_4705_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4705]) ).
cnf(c_0_4706_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4706]) ).
cnf(c_0_4706_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4706]) ).
cnf(c_0_4707_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4707]) ).
cnf(c_0_4707_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4707]) ).
cnf(c_0_4708_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4708]) ).
cnf(c_0_4708_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4708]) ).
cnf(c_0_4709_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4709]) ).
cnf(c_0_4709_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4709]) ).
cnf(c_0_4710_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4710]) ).
cnf(c_0_4710_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4710]) ).
cnf(c_0_4711_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4711_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4711]) ).
cnf(c_0_4712_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4712]) ).
cnf(c_0_4712_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4712]) ).
cnf(c_0_4713_0,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4713]) ).
cnf(c_0_4713_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4713]) ).
cnf(c_0_4714_0,axiom,
( is_fun_pname_bool(sk1_esk140_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4714]) ).
cnf(c_0_4714_1,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk140_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4714]) ).
cnf(c_0_4714_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk140_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4714]) ).
cnf(c_0_4715_0,axiom,
( is_fun_pname_bool(sk1_esk138_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4715_1,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk138_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4715_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk138_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4715]) ).
cnf(c_0_4716_0,axiom,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4716]) ).
cnf(c_0_4716_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4716]) ).
cnf(c_0_4717_0,axiom,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4717]) ).
cnf(c_0_4717_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,semi(X1,X2)))
| hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4717]) ).
cnf(c_0_4718_0,axiom,
( hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(hAPP_com_bool(wt,while(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4718]) ).
cnf(c_0_4718_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,while(X2,X1)))
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4718]) ).
cnf(c_0_4719_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_3,axiom,
( X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_pname(X3)
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_4,axiom,
( ~ is_pname(X3)
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4719_5,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_pname(X3)
| X1 != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X3),X2)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4719]) ).
cnf(c_0_4720_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_3,axiom,
( X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun_pname_bool(X3)
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_4,axiom,
( ~ is_fun_pname_bool(X3)
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4720_5,axiom,
( ~ is_fun1661590463l_bool(X2)
| ~ is_fun_pname_bool(X3)
| X1 != hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X3),X2)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4720]) ).
cnf(c_0_4732_0,axiom,
( X1 = some_pname(X2)
| ~ is_option_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4732]) ).
cnf(c_0_4732_1,axiom,
( ~ is_option_pname(X1)
| X1 = some_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4732]) ).
cnf(c_0_4732_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1)))
| ~ is_option_pname(X1)
| X1 = some_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4732]) ).
cnf(c_0_4733_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4733]) ).
cnf(c_0_4733_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X2),X1))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4733]) ).
cnf(c_0_4734_0,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4734]) ).
cnf(c_0_4734_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4734]) ).
cnf(c_0_4735_0,axiom,
( hBOOL(hAPP_pname_bool(X1,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4735]) ).
cnf(c_0_4735_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4735]) ).
cnf(c_0_4736_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk45_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4736_1,axiom,
( is_pname(sk1_esk45_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4736_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk45_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4736_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_pname(sk1_esk45_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4736]) ).
cnf(c_0_4737_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk46_2(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4737_1,axiom,
( is_fun_pname_bool(sk1_esk46_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4737_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_fun_pname_bool(sk1_esk46_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4737_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X2,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| is_fun_pname_bool(sk1_esk46_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4737]) ).
cnf(c_0_4738_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk41_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4738_1,axiom,
( is_fun_pname_bool(sk1_esk41_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4738_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk41_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4738_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun_pname_bool(sk1_esk41_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4738]) ).
cnf(c_0_4739_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(sk1_esk42_2(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4739_1,axiom,
( is_fun1661590463l_bool(sk1_esk42_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4739_2,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun1661590463l_bool(sk1_esk42_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4739_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(X2,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| is_fun1661590463l_bool(sk1_esk42_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4739]) ).
cnf(c_0_4740_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4740]) ).
cnf(c_0_4740_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f631639356e_bool(image_275883510_state(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4740]) ).
cnf(c_0_4741_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4741]) ).
cnf(c_0_4741_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f280588268e_bool(image_636285904_pname(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4741]) ).
cnf(c_0_4742_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4742]) ).
cnf(c_0_4742_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f674760225e_bool(image_1283814551_pname(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4742]) ).
cnf(c_0_4743_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X1),X2)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4743]) ).
cnf(c_0_4743_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f772567431e_bool(image_774712299_state(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4743]) ).
cnf(c_0_4744_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X1),X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4744]) ).
cnf(c_0_4744_1,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,hAPP_f780887186e_bool(image_936554724_state(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4744]) ).
cnf(c_0_4745_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4745]) ).
cnf(c_0_4745_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f1874607724l_bool(image_505480954e_bool(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4745]) ).
cnf(c_0_4746_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4746]) ).
cnf(c_0_4746_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f434788991l_bool(image_47868345e_bool(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4746]) ).
cnf(c_0_4747_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4747]) ).
cnf(c_0_4747_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,hAPP_f854625363l_bool(image_277167759e_bool(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4747]) ).
cnf(c_0_4748_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X1),X2)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4748]) ).
cnf(c_0_4748_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f748867288l_bool(image_1259634916e_bool(X1),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4748]) ).
cnf(c_0_4755_0,axiom,
( X1 = some_com(X2)
| ~ hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X2),set_com(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4755]) ).
cnf(c_0_4755_1,axiom,
( ~ hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X2),set_com(X1)))
| X1 = some_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4755]) ).
cnf(c_0_4756_0,axiom,
( X1 = some_H1133819688_state(X2)
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),set_Ho1831989999_state(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4756]) ).
cnf(c_0_4756_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),set_Ho1831989999_state(X1)))
| X1 = some_H1133819688_state(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4756]) ).
cnf(c_0_4757_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4757]) ).
cnf(c_0_4757_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4757]) ).
cnf(c_0_4757_2,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) != X1
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4757]) ).
cnf(c_0_4758_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_3,axiom,
( is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_4,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4758_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk107_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4758]) ).
cnf(c_0_4759_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_3,axiom,
( is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_4,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4759_5,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk108_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4759]) ).
cnf(c_0_4760_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| is_pname(sk1_esk101_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_3,axiom,
( is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_4,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4760_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk101_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4760]) ).
cnf(c_0_4761_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_3,axiom,
( is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_4,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4761_5,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk102_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4761]) ).
cnf(c_0_4762_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4762]) ).
cnf(c_0_4762_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4762]) ).
cnf(c_0_4762_2,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4762]) ).
cnf(c_0_4763_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4763]) ).
cnf(c_0_4763_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4763]) ).
cnf(c_0_4763_2,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != X1
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4763]) ).
cnf(c_0_4764_0,axiom,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4764]) ).
cnf(c_0_4764_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool))
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4764]) ).
cnf(c_0_4765_0,axiom,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4765]) ).
cnf(c_0_4765_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4765]) ).
cnf(c_0_4766_0,axiom,
( hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)) = X2
| ~ hBOOL(finite1282449217_pname(X3,X1))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4766]) ).
cnf(c_0_4766_1,axiom,
( ~ hBOOL(finite1282449217_pname(X3,X1))
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)) = X2
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4766]) ).
cnf(c_0_4766_2,axiom,
( ~ is_pname(X2)
| ~ hBOOL(finite1282449217_pname(X3,X1))
| hAPP_f1297739591_pname(X1,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4766]) ).
cnf(c_0_4767_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != bot_bo1055319631e_bool
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4767]) ).
cnf(c_0_4767_1,axiom,
( X1 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3))
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_4767]) ).
cnf(c_0_4767_2,axiom,
( X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)
| X1 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_4767]) ).
cnf(c_0_4768_0,axiom,
( some_com(sk1_esk27_1(X1)) = hAPP_p799580910on_com(body,X1)
| ~ hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4768]) ).
cnf(c_0_4768_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,hAPP_pname_com(body_1,X1)))
| some_com(sk1_esk27_1(X1)) = hAPP_p799580910on_com(body,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4768]) ).
cnf(c_0_4769_0,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4769_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_pname(X2)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4769_2,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4769_3,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4769]) ).
cnf(c_0_4770_0,axiom,
( ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4770_1,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4770_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4770_3,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4770]) ).
cnf(c_0_4771_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4771_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 = X2
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4771_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 = X2
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4771_3,axiom,
( ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4771]) ).
cnf(c_0_4772_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4772_1,axiom,
( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 = X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4772_2,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 = X2
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4772_3,axiom,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4772]) ).
cnf(c_0_4773_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4773]) ).
cnf(c_0_4773_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) != X1
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4773]) ).
cnf(c_0_4774_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4774]) ).
cnf(c_0_4774_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4774]) ).
cnf(c_0_4775_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4775]) ).
cnf(c_0_4775_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4775]) ).
cnf(c_0_4777_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_1,axiom,
( is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_2,axiom,
( hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_3,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_4,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool
| sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4777_5,axiom,
( sk1_esk108_2(X2,X1) != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(X2,X1))
| is_fun_pname_bool(sk1_esk106_2(X2,X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4777]) ).
cnf(c_0_4778_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk100_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_1,axiom,
( is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_2,axiom,
( hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_3,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_4,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool
| sk1_esk102_2(X2,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4778_5,axiom,
( sk1_esk102_2(X2,X1) != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(X2,X1))
| is_pname(sk1_esk100_2(X2,X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4778]) ).
cnf(c_0_4779_0,axiom,
( hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = X2
| ~ hBOOL(finite774711482_state(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4779]) ).
cnf(c_0_4779_1,axiom,
( ~ hBOOL(finite774711482_state(X3,X1))
| hAPP_f2143211163_state(X1,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4779]) ).
cnf(c_0_4780_0,axiom,
( hBOOL(X1)
| ~ hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4780_1,axiom,
( ~ hBOOL(X2)
| hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4780_2,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1))
| ~ hBOOL(X2)
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4780]) ).
cnf(c_0_4781_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4781_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4781_2,axiom,
( X1 != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X3),X2)
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X2))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4781]) ).
cnf(c_0_4782_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| X1 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4782_1,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| X1 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4782_2,axiom,
( X1 != hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X3),X2)
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X2))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4782]) ).
cnf(c_0_4784_0,axiom,
( hBOOL(X1)
| hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4784]) ).
cnf(c_0_4784_1,axiom,
( hBOOL(X2)
| hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4784]) ).
cnf(c_0_4784_2,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1))
| hBOOL(X2)
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4784]) ).
cnf(c_0_4785_0,axiom,
( X1 = X2
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4785_1,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4785_2,axiom,
( ~ is_pname(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = X2
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4785_3,axiom,
( ~ is_pname(X1)
| ~ is_pname(X2)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) != hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),bot_bo844097828e_bool)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4785]) ).
cnf(c_0_4810_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4810]) ).
cnf(c_0_4810_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4810]) ).
cnf(c_0_4811_0,axiom,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4811]) ).
cnf(c_0_4811_1,axiom,
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4811]) ).
cnf(c_0_4812_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| ~ hBOOL(hAPP_H513860823e_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4812]) ).
cnf(c_0_4812_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X2,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4812]) ).
cnf(c_0_4813_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4813]) ).
cnf(c_0_4813_1,axiom,
( ~ hBOOL(hAPP_pname_bool(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4813]) ).
cnf(c_0_4814_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4814]) ).
cnf(c_0_4814_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4814]) ).
cnf(c_0_4814_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4814]) ).
cnf(c_0_4815_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4815]) ).
cnf(c_0_4815_1,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4815]) ).
cnf(c_0_4815_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4815]) ).
cnf(c_0_4816_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4816]) ).
cnf(c_0_4816_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4816]) ).
cnf(c_0_4816_2,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4816]) ).
cnf(c_0_4817_0,axiom,
( hBOOL(hAPP_com_bool(wt,while(X1,X2)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4817]) ).
cnf(c_0_4817_1,axiom,
( ~ hBOOL(hAPP_com_bool(wt,X2))
| hBOOL(hAPP_com_bool(wt,while(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4817]) ).
cnf(c_0_4818_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4818]) ).
cnf(c_0_4818_1,axiom,
( X2 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4818]) ).
cnf(c_0_4819_0,axiom,
( X1 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4819]) ).
cnf(c_0_4819_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),X1))
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4819]) ).
cnf(c_0_4820_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2))
| X2 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4820]) ).
cnf(c_0_4820_1,axiom,
( X2 != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4820]) ).
cnf(c_0_4821_0,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4821]) ).
cnf(c_0_4821_1,axiom,
( X2 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4821]) ).
cnf(c_0_4822_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4822]) ).
cnf(c_0_4822_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4822]) ).
cnf(c_0_4823_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4823]) ).
cnf(c_0_4823_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4823]) ).
cnf(c_0_4824_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4824]) ).
cnf(c_0_4824_1,axiom,
( ~ hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4824]) ).
cnf(c_0_4825_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2)))
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4825]) ).
cnf(c_0_4825_1,axiom,
( hAPP_p799580910on_com(X2,X1) != some_com(X3)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),dom_pname_com(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4825]) ).
cnf(c_0_4826_0,axiom,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4826]) ).
cnf(c_0_4826_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4826]) ).
cnf(c_0_4827_0,axiom,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4827]) ).
cnf(c_0_4827_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4827]) ).
cnf(c_0_4828_0,axiom,
( X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4828]) ).
cnf(c_0_4828_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4828]) ).
cnf(c_0_4829_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4829]) ).
cnf(c_0_4829_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4829]) ).
cnf(c_0_4830_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4830]) ).
cnf(c_0_4830_1,axiom,
( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4830]) ).
cnf(c_0_4835_0,axiom,
( X1 = X2
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4835]) ).
cnf(c_0_4835_1,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) != hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4835]) ).
cnf(c_0_4842_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4842]) ).
cnf(c_0_4842_1,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_1065416081_state(X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4842]) ).
cnf(c_0_4843_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk142_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4843]) ).
cnf(c_0_4843_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk142_1(X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4843]) ).
cnf(c_0_4843_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk142_1(X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4843]) ).
cnf(c_0_4844_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk11_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4844]) ).
cnf(c_0_4844_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk11_1(X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4844]) ).
cnf(c_0_4844_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk11_1(X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4844]) ).
cnf(c_0_4845_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk9_1(X1)),X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4845]) ).
cnf(c_0_4845_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk9_1(X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4845]) ).
cnf(c_0_4845_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,sk1_esk9_1(X1)),X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4845]) ).
cnf(c_0_4846_0,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk54_1(X1)),sk1_esk53_1(X1)) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4846_1,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk54_1(X1)),sk1_esk53_1(X1)) = X1
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4846_2,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk54_1(X1)),sk1_esk53_1(X1)) = X1
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4846_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk54_1(X1)),sk1_esk53_1(X1)) = X1
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4846]) ).
cnf(c_0_4847_0,axiom,
( X1 = bot_bo1649642514l_bool
| hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk50_1(X1)),sk1_esk49_1(X1)) = X1
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4847_1,axiom,
( hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk50_1(X1)),sk1_esk49_1(X1)) = X1
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4847_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk50_1(X1)),sk1_esk49_1(X1)) = X1
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4847_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,sk1_esk50_1(X1)),sk1_esk49_1(X1)) = X1
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4847]) ).
cnf(c_0_4848_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(sk1_esk136_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4848]) ).
cnf(c_0_4848_1,axiom,
( is_pname(sk1_esk136_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4848]) ).
cnf(c_0_4849_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(sk1_esk94_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4849]) ).
cnf(c_0_4849_1,axiom,
( is_pname(sk1_esk94_2(X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4849]) ).
cnf(c_0_4850_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(sk1_esk82_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4850]) ).
cnf(c_0_4850_1,axiom,
( is_pname(sk1_esk82_2(X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4850]) ).
cnf(c_0_4851_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| is_pname(sk1_esk28_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4851]) ).
cnf(c_0_4851_1,axiom,
( is_pname(sk1_esk28_2(X2,X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4851]) ).
cnf(c_0_4852_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1)))
| ~ is_option_pname(X1)
| X1 != some_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4852]) ).
cnf(c_0_4852_1,axiom,
( ~ is_option_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1)))
| X1 != some_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4852]) ).
cnf(c_0_4852_2,axiom,
( X1 != some_pname(X2)
| ~ is_option_pname(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),set_pname(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4852]) ).
cnf(c_0_4853_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk143_1(X1)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4853]) ).
cnf(c_0_4853_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk143_1(X1)),X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4853]) ).
cnf(c_0_4854_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk12_1(X1)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4854]) ).
cnf(c_0_4854_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk12_1(X1)),X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4854]) ).
cnf(c_0_4855_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk10_1(X1)),X1))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4855]) ).
cnf(c_0_4855_1,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,sk1_esk10_1(X1)),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4855]) ).
cnf(c_0_4856_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk56_1(X1)),sk1_esk55_1(X1)) = X1
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4856]) ).
cnf(c_0_4856_1,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk56_1(X1)),sk1_esk55_1(X1)) = X1
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4856]) ).
cnf(c_0_4856_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk56_1(X1)),sk1_esk55_1(X1)) = X1
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4856]) ).
cnf(c_0_4857_0,axiom,
( X1 = bot_bo1325454745l_bool
| hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk52_1(X1)),sk1_esk51_1(X1)) = X1
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4857]) ).
cnf(c_0_4857_1,axiom,
( hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk52_1(X1)),sk1_esk51_1(X1)) = X1
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4857]) ).
cnf(c_0_4857_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,sk1_esk52_1(X1)),sk1_esk51_1(X1)) = X1
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4857]) ).
cnf(c_0_4859_0,axiom,
( hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X1),set_com(X2)))
| X2 != some_com(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4859]) ).
cnf(c_0_4859_1,axiom,
( X2 != some_com(X1)
| hBOOL(hAPP_f990396704l_bool(hAPP_c667411853l_bool(member_com,X1),set_com(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4859]) ).
cnf(c_0_4860_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),set_Ho1831989999_state(X2)))
| X2 != some_H1133819688_state(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4860]) ).
cnf(c_0_4860_1,axiom,
( X2 != some_H1133819688_state(X1)
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),set_Ho1831989999_state(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_4860]) ).
cnf(c_0_4862_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4862_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4862_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4862_3,axiom,
( X2 != X1
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4862]) ).
cnf(c_0_4863_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4863_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4863_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4863_3,axiom,
( X2 != X1
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4863]) ).
cnf(c_0_4864_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4864_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4864_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4864_3,axiom,
( X2 != X1
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4864]) ).
cnf(c_0_4865_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4865_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ is_fun_pname_bool(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4865_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4865_3,axiom,
( X2 != X1
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4865]) ).
cnf(c_0_4901_0,axiom,
( X1 = bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk53_1(X1)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4901_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk53_1(X1)))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4901_2,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk53_1(X1)))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4901_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,sk1_esk53_1(X1)))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4901]) ).
cnf(c_0_4902_0,axiom,
( X1 = bot_bo1649642514l_bool
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk49_1(X1)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4902_1,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk49_1(X1)))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4902_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk49_1(X1)))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4902_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,sk1_esk49_1(X1)))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4902]) ).
cnf(c_0_4903_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4903]) ).
cnf(c_0_4903_1,axiom,
( ~ hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4903]) ).
cnf(c_0_4903_2,axiom,
( ~ hBOOL(X1)
| ~ hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4903]) ).
cnf(c_0_4904_0,axiom,
( hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X1
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4904]) ).
cnf(c_0_4904_1,axiom,
( ~ is_pname(X1)
| hAPP_f1297739591_pname(the_elem_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4904]) ).
cnf(c_0_4905_0,axiom,
( X1 = bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk55_1(X1)))
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4905]) ).
cnf(c_0_4905_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk55_1(X1)))
| X1 = bot_bo1055319631e_bool
| ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4905]) ).
cnf(c_0_4905_2,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,sk1_esk55_1(X1)))
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4905]) ).
cnf(c_0_4906_0,axiom,
( X1 = bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk51_1(X1)))
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4906]) ).
cnf(c_0_4906_1,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk51_1(X1)))
| X1 = bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4906]) ).
cnf(c_0_4906_2,axiom,
( ~ hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,sk1_esk51_1(X1)))
| X1 = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4906]) ).
cnf(c_0_4907_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| ~ hBOOL(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4907]) ).
cnf(c_0_4907_1,axiom,
( ~ hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4907]) ).
cnf(c_0_4908_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4908]) ).
cnf(c_0_4908_1,axiom,
( ~ hBOOL(X2)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4908]) ).
cnf(c_0_4909_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4909]) ).
cnf(c_0_4909_1,axiom,
( ~ hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4909]) ).
cnf(c_0_4910_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4910]) ).
cnf(c_0_4910_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4910]) ).
cnf(c_0_4910_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4910]) ).
cnf(c_0_4911_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4911]) ).
cnf(c_0_4911_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4911]) ).
cnf(c_0_4911_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4911]) ).
cnf(c_0_4917_0,axiom,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4917]) ).
cnf(c_0_4917_1,axiom,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4917]) ).
cnf(c_0_4918_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4918]) ).
cnf(c_0_4918_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(fequal1746921144e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4918]) ).
cnf(c_0_4919_0,axiom,
( hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4919]) ).
cnf(c_0_4919_1,axiom,
( X1 != X2
| hBOOL(hAPP_H513860823e_bool(hAPP_H1645666623e_bool(fequal1531560888_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4919]) ).
cnf(c_0_4920_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4920]) ).
cnf(c_0_4920_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4920]) ).
cnf(c_0_4921_0,axiom,
( hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4921]) ).
cnf(c_0_4921_1,axiom,
( X1 != X2
| hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(fequal_state,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4921]) ).
cnf(c_0_4922_0,axiom,
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4922]) ).
cnf(c_0_4922_1,axiom,
( X1 != X2
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4922]) ).
cnf(c_0_4923_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4923]) ).
cnf(c_0_4923_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4923]) ).
cnf(c_0_4924_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4924]) ).
cnf(c_0_4924_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4924]) ).
cnf(c_0_4925_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4925]) ).
cnf(c_0_4925_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4925]) ).
cnf(c_0_4926_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4926]) ).
cnf(c_0_4926_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4926]) ).
cnf(c_0_4927_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4927]) ).
cnf(c_0_4927_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4927]) ).
cnf(c_0_4928_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4928]) ).
cnf(c_0_4928_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4928]) ).
cnf(c_0_4929_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4929]) ).
cnf(c_0_4929_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4929]) ).
cnf(c_0_4930_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4930]) ).
cnf(c_0_4930_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4930]) ).
cnf(c_0_4931_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4931]) ).
cnf(c_0_4931_1,axiom,
( X2 != X1
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4931]) ).
cnf(c_0_4932_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_4932]) ).
cnf(c_0_4932_1,axiom,
( X2 != X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4932]) ).
cnf(c_0_4933_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4933]) ).
cnf(c_0_4933_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4933]) ).
cnf(c_0_4934_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4934]) ).
cnf(c_0_4934_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4934]) ).
cnf(c_0_4935_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4935]) ).
cnf(c_0_4935_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4935]) ).
cnf(c_0_4936_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_4936]) ).
cnf(c_0_4936_1,axiom,
( X1 != X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4936]) ).
cnf(c_0_4937_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4937]) ).
cnf(c_0_4937_1,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4937]) ).
cnf(c_0_4937_2,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4937]) ).
cnf(c_0_4942_0,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),dom_pname_com(X2)) = dom_pname_com(X2)
| hAPP_p799580910on_com(X2,X1) != some_com(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4942]) ).
cnf(c_0_4942_1,axiom,
( hAPP_p799580910on_com(X2,X1) != some_com(X3)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),dom_pname_com(X2)) = dom_pname_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4942]) ).
cnf(c_0_4943_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4943]) ).
cnf(c_0_4943_1,axiom,
( X1 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4943]) ).
cnf(c_0_4944_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool))
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4944]) ).
cnf(c_0_4944_1,axiom,
( X1 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),bot_bo1055319631e_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_4944]) ).
cnf(c_0_4945_0,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4945]) ).
cnf(c_0_4945_1,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4945]) ).
cnf(c_0_4945_2,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4945]) ).
cnf(c_0_4946_0,axiom,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4946]) ).
cnf(c_0_4946_1,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2))
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4946]) ).
cnf(c_0_4946_2,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4946]) ).
cnf(c_0_4947_0,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4947]) ).
cnf(c_0_4947_1,axiom,
( ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4947]) ).
cnf(c_0_4947_2,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4947]) ).
cnf(c_0_4948_0,axiom,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4948]) ).
cnf(c_0_4948_1,axiom,
( ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2))
| hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4948]) ).
cnf(c_0_4948_2,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) != bot_bo844097828e_bool
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4948]) ).
cnf(c_0_4949_0,axiom,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4949_1,axiom,
( ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4949_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4949_3,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4949]) ).
cnf(c_0_4950_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4950_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4950_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4950_3,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4950]) ).
cnf(c_0_4951_0,axiom,
( X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4951_1,axiom,
( ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4951_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4951_3,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X2 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4951]) ).
cnf(c_0_4952_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4952_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4952_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4952_3,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4952]) ).
cnf(c_0_4957_0,axiom,
( hBOOL(hAPP_state_bool(X1,X2))
| ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4957]) ).
cnf(c_0_4957_1,axiom,
( ~ hBOOL(hAPP_f327114704l_bool(fAll_state,X1))
| hBOOL(hAPP_state_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4957]) ).
cnf(c_0_4966_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)
| X2 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4966]) ).
cnf(c_0_4966_1,axiom,
( X2 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) ),
inference(literals_permutation,[status(thm)],[c_0_4966]) ).
cnf(c_0_4967_0,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4967]) ).
cnf(c_0_4967_1,axiom,
( hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4967]) ).
cnf(c_0_4968_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4968]) ).
cnf(c_0_4968_1,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4968]) ).
cnf(c_0_4969_0,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(X1,X2))
| hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4969]) ).
cnf(c_0_4969_1,axiom,
( hAPP_f921536533e_bool(collec727977250_state,X1) != bot_bo1055319631e_bool
| ~ hBOOL(hAPP_H513860823e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4969]) ).
cnf(c_0_4970_0,axiom,
( ~ hBOOL(hAPP_f1760790145l_bool(X1,X2))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4970]) ).
cnf(c_0_4970_1,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) != bot_bo1325454745l_bool
| ~ hBOOL(hAPP_f1760790145l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4970]) ).
cnf(c_0_4971_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(sk1_esk154_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4971]) ).
cnf(c_0_4971_1,axiom,
( is_pname(sk1_esk154_2(X1,X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4971]) ).
cnf(c_0_4972_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| is_pname(sk1_esk155_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_4972]) ).
cnf(c_0_4972_1,axiom,
( is_pname(sk1_esk155_2(X1,X2))
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4972]) ).
cnf(c_0_4973_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool
| sk1_esk157_2(X1,X2) = sk1_esk156_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4973]) ).
cnf(c_0_4973_1,axiom,
( sk1_esk157_2(X1,X2) = sk1_esk156_2(X1,X2)
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4973]) ).
cnf(c_0_4974_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool
| sk1_esk155_2(X1,X2) = sk1_esk154_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4974]) ).
cnf(c_0_4974_1,axiom,
( sk1_esk155_2(X1,X2) = sk1_esk154_2(X1,X2)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4974]) ).
cnf(c_0_4975_0,axiom,
( X1 = bot_bo844097828e_bool
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1)) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4975]) ).
cnf(c_0_4975_1,axiom,
( hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1)) = X1
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4975]) ).
cnf(c_0_4975_2,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,sk1_esk72_1(X1)),sk1_esk73_1(X1)) = X1
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4975]) ).
cnf(c_0_4976_0,axiom,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(sk1_esk53_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4976_1,axiom,
( is_fun_pname_bool(sk1_esk53_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4976_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk53_1(X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4976_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk53_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4976]) ).
cnf(c_0_4977_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk54_1(X1))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4977_1,axiom,
( is_pname(sk1_esk54_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4977_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk54_1(X1))
| X1 = bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4977_3,axiom,
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk54_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4977]) ).
cnf(c_0_4978_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun1661590463l_bool(sk1_esk49_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4978_1,axiom,
( is_fun1661590463l_bool(sk1_esk49_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4978_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk49_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4978_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(sk1_esk49_1(X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4978]) ).
cnf(c_0_4979_0,axiom,
( X1 = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk50_1(X1))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4979_1,axiom,
( is_fun_pname_bool(sk1_esk50_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4979_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk50_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4979_3,axiom,
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| is_fun_pname_bool(sk1_esk50_1(X1))
| X1 = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4979]) ).
cnf(c_0_4980_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4980]) ).
cnf(c_0_4980_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4980]) ).
cnf(c_0_4981_0,axiom,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4981]) ).
cnf(c_0_4981_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4981]) ).
cnf(c_0_4982_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4982]) ).
cnf(c_0_4982_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4982]) ).
cnf(c_0_4983_0,axiom,
( X2 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4983]) ).
cnf(c_0_4983_1,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) != bot_bo1055319631e_bool
| X2 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4983]) ).
cnf(c_0_4988_0,axiom,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(literals_permutation,[status(thm)],[c_0_4988]) ).
cnf(c_0_4988_1,axiom,
( hAPP_p799580910on_com(body,X2) != some_com(X1)
| hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies) ),
inference(literals_permutation,[status(thm)],[c_0_4988]) ).
cnf(c_0_4988_2,axiom,
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_4988]) ).
cnf(c_0_4989_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk74_1(X1)),sk1_esk75_1(X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4989]) ).
cnf(c_0_4989_1,axiom,
( hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,sk1_esk74_1(X1)),sk1_esk75_1(X1)) = X1
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4989]) ).
cnf(c_0_4990_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4990_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4990_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4990_3,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4990_4,axiom,
( X2 != bot_bo844097828e_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4990]) ).
cnf(c_0_4991_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4991_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4991_2,axiom,
( ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4991_3,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool
| X2 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4991_4,axiom,
( X2 != bot_bo844097828e_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4991]) ).
cnf(c_0_4992_0,axiom,
( X2 = X1
| ~ is_pname(X1)
| ~ is_pname(X2)
| hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4992_1,axiom,
( ~ is_pname(X1)
| X2 = X1
| ~ is_pname(X2)
| hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4992_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1
| hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4992_3,axiom,
( hAPP_pname_com(body_1,X2) != hAPP_pname_com(body_1,X1)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4992]) ).
cnf(c_0_4993_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk8_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4993]) ).
cnf(c_0_4993_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk8_1(X1)))
| hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4993]) ).
cnf(c_0_4994_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk7_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4994]) ).
cnf(c_0_4994_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk7_1(X1)))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4994]) ).
cnf(c_0_4995_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk6_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4995]) ).
cnf(c_0_4995_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk6_1(X1)))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4995]) ).
cnf(c_0_4996_0,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X1,sk1_esk5_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4996]) ).
cnf(c_0_4996_1,axiom,
( hBOOL(hAPP_pname_bool(X1,sk1_esk5_1(X1)))
| hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4996]) ).
cnf(c_0_4997_0,axiom,
( hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool
| hBOOL(hAPP_H513860823e_bool(X1,sk1_esk4_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4997]) ).
cnf(c_0_4997_1,axiom,
( hBOOL(hAPP_H513860823e_bool(X1,sk1_esk4_1(X1)))
| hAPP_f921536533e_bool(collec727977250_state,X1) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_4997]) ).
cnf(c_0_4998_0,axiom,
( hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool
| hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk3_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4998]) ).
cnf(c_0_4998_1,axiom,
( hBOOL(hAPP_f1760790145l_bool(X1,sk1_esk3_1(X1)))
| hAPP_f1970439265l_bool(collec111528142e_bool,X1) = bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4998]) ).
cnf(c_0_4999_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk2_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_4999]) ).
cnf(c_0_4999_1,axiom,
( hBOOL(hAPP_f1664156314l_bool(X1,sk1_esk2_1(X1)))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_4999]) ).
cnf(c_0_5000_0,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| hBOOL(hAPP_pname_bool(X1,sk1_esk1_1(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_5000]) ).
cnf(c_0_5000_1,axiom,
( hBOOL(hAPP_pname_bool(X1,sk1_esk1_1(X1)))
| hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5000]) ).
cnf(c_0_5001_0,axiom,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(fNot,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5001]) ).
cnf(c_0_5001_1,axiom,
( ~ hBOOL(hAPP_bool_bool(fNot,X1))
| ~ hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5001]) ).
cnf(c_0_5003_0,axiom,
( X1 = X3
| while(X1,X2) != while(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5003]) ).
cnf(c_0_5003_1,axiom,
( while(X1,X2) != while(X3,X4)
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_5003]) ).
cnf(c_0_5004_0,axiom,
( X2 = X4
| while(X1,X2) != while(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5004]) ).
cnf(c_0_5004_1,axiom,
( while(X1,X2) != while(X3,X4)
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_5004]) ).
cnf(c_0_5005_0,axiom,
( X1 = X3
| semi(X1,X2) != semi(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5005]) ).
cnf(c_0_5005_1,axiom,
( semi(X1,X2) != semi(X3,X4)
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_5005]) ).
cnf(c_0_5006_0,axiom,
( X2 = X4
| semi(X1,X2) != semi(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5006]) ).
cnf(c_0_5006_1,axiom,
( semi(X1,X2) != semi(X3,X4)
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_5006]) ).
cnf(c_0_5007_0,axiom,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5007]) ).
cnf(c_0_5007_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5007]) ).
cnf(c_0_5008_0,axiom,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5008]) ).
cnf(c_0_5008_1,axiom,
( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5008]) ).
cnf(c_0_5009_0,axiom,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5009]) ).
cnf(c_0_5009_1,axiom,
( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5009]) ).
cnf(c_0_5010_0,axiom,
( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5010]) ).
cnf(c_0_5010_1,axiom,
( ~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5010]) ).
cnf(c_0_5014_0,axiom,
( is_bool(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun_pname_bool(X2)
| ~ is_fun1661590463l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5014]) ).
cnf(c_0_5014_1,axiom,
( ~ is_fun_pname_bool(X2)
| is_bool(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5014]) ).
cnf(c_0_5014_2,axiom,
( ~ is_fun1661590463l_bool(X1)
| ~ is_fun_pname_bool(X2)
| is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5014]) ).
cnf(c_0_5015_0,axiom,
( is_bool(hAPP_pname_bool(X1,X2))
| ~ is_pname(X2)
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5015]) ).
cnf(c_0_5015_1,axiom,
( ~ is_pname(X2)
| is_bool(hAPP_pname_bool(X1,X2))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5015]) ).
cnf(c_0_5015_2,axiom,
( ~ is_fun_pname_bool(X1)
| ~ is_pname(X2)
| is_bool(hAPP_pname_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5015]) ).
cnf(c_0_5018_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5018]) ).
cnf(c_0_5018_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5018]) ).
cnf(c_0_5019_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5019]) ).
cnf(c_0_5019_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),bot_bo844097828e_bool) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5019]) ).
cnf(c_0_5020_0,axiom,
( hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5020_1,axiom,
( ~ is_pname(X1)
| hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
| ~ is_pname(X2)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5020_2,axiom,
( ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1)
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5020_3,axiom,
( X2 != X1
| ~ is_pname(X2)
| ~ is_pname(X1)
| hAPP_pname_com(body_1,X2) = hAPP_pname_com(body_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_5020]) ).
cnf(c_0_5021_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5021]) ).
cnf(c_0_5021_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = bot_bo1055319631e_bool
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5021]) ).
cnf(c_0_5021_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(cOMBK_90103121_pname(X2)),X1) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5021]) ).
cnf(c_0_5022_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5022]) ).
cnf(c_0_5022_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5022]) ).
cnf(c_0_5023_0,axiom,
( hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5023]) ).
cnf(c_0_5023_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,bot_bo844097828e_bool),X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5023]) ).
cnf(c_0_5024_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5024]) ).
cnf(c_0_5024_1,axiom,
( X2 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5024]) ).
cnf(c_0_5024_2,axiom,
( X1 != bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5024]) ).
cnf(c_0_5025_0,axiom,
( hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5025]) ).
cnf(c_0_5025_1,axiom,
( X2 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5025]) ).
cnf(c_0_5025_2,axiom,
( X1 != bot_bo1055319631e_bool
| X2 != bot_bo1055319631e_bool
| hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5025]) ).
cnf(c_0_5030_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5030]) ).
cnf(c_0_5030_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5030]) ).
cnf(c_0_5030_2,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5030]) ).
cnf(c_0_5031_0,axiom,
( X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5031]) ).
cnf(c_0_5031_1,axiom,
( ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5031]) ).
cnf(c_0_5031_2,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) != bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5031]) ).
cnf(c_0_5036_0,axiom,
( is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5036]) ).
cnf(c_0_5036_1,axiom,
( ~ is_fun1661590463l_bool(X2)
| is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5036]) ).
cnf(c_0_5037_0,axiom,
( is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5037]) ).
cnf(c_0_5037_1,axiom,
( ~ is_fun1661590463l_bool(X2)
| is_fun_pname_bool(hAPP_f674760225e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5037]) ).
cnf(c_0_5038_0,axiom,
( is_bool(hAPP_f1935102916l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5038]) ).
cnf(c_0_5038_1,axiom,
( ~ is_fun1661590463l_bool(X2)
| is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5038]) ).
cnf(c_0_5039_0,axiom,
( is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5039]) ).
cnf(c_0_5039_1,axiom,
( ~ is_fun_pname_bool(X2)
| is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5039]) ).
cnf(c_0_5040_0,axiom,
( is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5040]) ).
cnf(c_0_5040_1,axiom,
( ~ is_fun_pname_bool(X2)
| is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5040]) ).
cnf(c_0_5041_0,axiom,
( is_pname(hAPP_f1297739591_pname(X1,X2))
| ~ is_fun_pname_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5041]) ).
cnf(c_0_5041_1,axiom,
( ~ is_fun_pname_bool(X2)
| is_pname(hAPP_f1297739591_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5041]) ).
cnf(c_0_5042_0,axiom,
( is_bool(hAPP_bool_bool(X1,X2))
| ~ is_bool(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5042]) ).
cnf(c_0_5042_1,axiom,
( ~ is_bool(X2)
| is_bool(hAPP_bool_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5042]) ).
cnf(c_0_5043_0,axiom,
( is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5043]) ).
cnf(c_0_5043_1,axiom,
( ~ is_pname(X2)
| is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5043]) ).
cnf(c_0_5044_0,axiom,
( is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5044]) ).
cnf(c_0_5044_1,axiom,
( ~ is_pname(X2)
| is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5044]) ).
cnf(c_0_5045_0,axiom,
( is_pname(hAPP_pname_pname(X1,X2))
| ~ is_pname(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5045]) ).
cnf(c_0_5045_1,axiom,
( ~ is_pname(X2)
| is_pname(hAPP_pname_pname(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_5045]) ).
cnf(c_0_5046_0,axiom,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5046]) ).
cnf(c_0_5046_1,axiom,
( ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5046]) ).
cnf(c_0_5046_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5046]) ).
cnf(c_0_5047_0,axiom,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ is_fun1661590463l_bool(X1)
| X1 != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_5047]) ).
cnf(c_0_5047_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| X1 != bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_5047]) ).
cnf(c_0_5047_2,axiom,
( X1 != bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1)
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5047]) ).
cnf(c_0_5054_0,axiom,
( while(X1,X2) = while(X3,X4)
| X2 != X4
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_5054]) ).
cnf(c_0_5054_1,axiom,
( X2 != X4
| while(X1,X2) = while(X3,X4)
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_5054]) ).
cnf(c_0_5054_2,axiom,
( X1 != X3
| X2 != X4
| while(X1,X2) = while(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5054]) ).
cnf(c_0_5055_0,axiom,
( semi(X1,X2) = semi(X3,X4)
| X2 != X4
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_5055]) ).
cnf(c_0_5055_1,axiom,
( X2 != X4
| semi(X1,X2) = semi(X3,X4)
| X1 != X3 ),
inference(literals_permutation,[status(thm)],[c_0_5055]) ).
cnf(c_0_5055_2,axiom,
( X1 != X3
| X2 != X4
| semi(X1,X2) = semi(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_5055]) ).
cnf(c_0_5056_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5056]) ).
cnf(c_0_5056_1,axiom,
( X2 != bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(cOMBK_588224941_state(X1)),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5056]) ).
cnf(c_0_5063_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5063]) ).
cnf(c_0_5063_1,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5063]) ).
cnf(c_0_5064_0,axiom,
( X1 = bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5064]) ).
cnf(c_0_5064_1,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X2),X1) != bot_bo844097828e_bool
| X1 = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5064]) ).
cnf(c_0_5066_0,axiom,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5066]) ).
cnf(c_0_5066_1,axiom,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5066]) ).
cnf(c_0_5067_0,axiom,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5067]) ).
cnf(c_0_5067_1,axiom,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5067]) ).
cnf(c_0_5068_0,axiom,
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5068]) ).
cnf(c_0_5068_1,axiom,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5068]) ).
cnf(c_0_5069_0,axiom,
( hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(literals_permutation,[status(thm)],[c_0_5069]) ).
cnf(c_0_5069_1,axiom,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5069]) ).
cnf(c_0_5070_0,axiom,
( hBOOL(hAPP_bool_bool(fNot,X1))
| hBOOL(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5070]) ).
cnf(c_0_5070_1,axiom,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(fNot,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5070]) ).
cnf(c_0_5095_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5095]) ).
cnf(c_0_5095_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5095]) ).
cnf(c_0_5095_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5095]) ).
cnf(c_0_5096_0,axiom,
( hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| ~ is_fun_pname_bool(X1)
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5096]) ).
cnf(c_0_5096_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool
| X1 != bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5096]) ).
cnf(c_0_5096_2,axiom,
( X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1)
| hAPP_f631639356e_bool(image_275883510_state(X2),X1) = bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5096]) ).
cnf(c_0_5097_0,axiom,
( hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1))
| X1 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5097]) ).
cnf(c_0_5097_1,axiom,
( X1 != bot_bo1055319631e_bool
| hBOOL(hAPP_f1760790145l_bool(finite784854244_state,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5097]) ).
cnf(c_0_5098_0,axiom,
( hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1))
| X1 != bot_bo1325454745l_bool ),
inference(literals_permutation,[status(thm)],[c_0_5098]) ).
cnf(c_0_5098_1,axiom,
( X1 != bot_bo1325454745l_bool
| hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5098]) ).
cnf(c_0_5099_0,axiom,
( hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5099]) ).
cnf(c_0_5099_1,axiom,
( ~ is_bool(X1)
| hAPP_f1760790145l_bool(cOMBK_564432736e_bool(X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5099]) ).
cnf(c_0_5100_0,axiom,
( hAPP_H1344248906_pname(cOMBK_588224941_state(X1),X2) = X1
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5100]) ).
cnf(c_0_5100_1,axiom,
( ~ is_pname(X1)
| hAPP_H1344248906_pname(cOMBK_588224941_state(X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5100]) ).
cnf(c_0_5101_0,axiom,
( hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5101]) ).
cnf(c_0_5101_1,axiom,
( ~ is_bool(X1)
| hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5101]) ).
cnf(c_0_5102_0,axiom,
( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5102]) ).
cnf(c_0_5102_1,axiom,
( ~ is_bool(X1)
| hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5102]) ).
cnf(c_0_5103_0,axiom,
( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5103]) ).
cnf(c_0_5103_1,axiom,
( ~ is_bool(X1)
| hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5103]) ).
cnf(c_0_5109_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5109]) ).
cnf(c_0_5109_1,axiom,
( is_fun_pname_bool(sk1_esk6_1(X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_5109]) ).
cnf(c_0_5110_0,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| is_pname(sk1_esk5_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5110]) ).
cnf(c_0_5110_1,axiom,
( is_pname(sk1_esk5_1(X1))
| hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5110]) ).
cnf(c_0_5111_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(sk1_esk2_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5111]) ).
cnf(c_0_5111_1,axiom,
( is_fun_pname_bool(sk1_esk2_1(X1))
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) = bot_bo1649642514l_bool ),
inference(literals_permutation,[status(thm)],[c_0_5111]) ).
cnf(c_0_5112_0,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool
| is_pname(sk1_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5112]) ).
cnf(c_0_5112_1,axiom,
( is_pname(sk1_esk1_1(X1))
| hAPP_f759274231e_bool(collect_pname,X1) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5112]) ).
cnf(c_0_5113_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5113]) ).
cnf(c_0_5113_1,axiom,
( X2 != bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5113]) ).
cnf(c_0_5114_0,axiom,
( hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool
| X2 != bot_bo1055319631e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5114]) ).
cnf(c_0_5114_1,axiom,
( X2 != bot_bo1055319631e_bool
| hAPP_f1745235422e_bool(image_1925245338_pname(X1),X2) = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5114]) ).
cnf(c_0_5121_0,axiom,
( hAPP_f559147733l_bool(collec1974731493e_bool,X1) = X1
| ~ is_fun1661590463l_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5121]) ).
cnf(c_0_5121_1,axiom,
( ~ is_fun1661590463l_bool(X1)
| hAPP_f559147733l_bool(collec1974731493e_bool,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5121]) ).
cnf(c_0_5122_0,axiom,
( hAPP_f759274231e_bool(collect_pname,X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5122]) ).
cnf(c_0_5122_1,axiom,
( ~ is_fun_pname_bool(X1)
| hAPP_f759274231e_bool(collect_pname,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_5122]) ).
cnf(c_0_5126_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk142_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5126]) ).
cnf(c_0_5126_1,axiom,
( is_pname(sk1_esk142_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5126]) ).
cnf(c_0_5126_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk142_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5126]) ).
cnf(c_0_5127_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk72_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5127]) ).
cnf(c_0_5127_1,axiom,
( is_pname(sk1_esk72_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5127]) ).
cnf(c_0_5127_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk72_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5127]) ).
cnf(c_0_5128_0,axiom,
( X1 = bot_bo844097828e_bool
| is_fun_pname_bool(sk1_esk73_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5128]) ).
cnf(c_0_5128_1,axiom,
( is_fun_pname_bool(sk1_esk73_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5128]) ).
cnf(c_0_5128_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(sk1_esk73_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5128]) ).
cnf(c_0_5129_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk11_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5129]) ).
cnf(c_0_5129_1,axiom,
( is_pname(sk1_esk11_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5129]) ).
cnf(c_0_5129_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk11_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5129]) ).
cnf(c_0_5130_0,axiom,
( X1 = bot_bo844097828e_bool
| is_pname(sk1_esk9_1(X1))
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5130]) ).
cnf(c_0_5130_1,axiom,
( is_pname(sk1_esk9_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5130]) ).
cnf(c_0_5130_2,axiom,
( ~ is_fun_pname_bool(X1)
| is_pname(sk1_esk9_1(X1))
| X1 = bot_bo844097828e_bool ),
inference(literals_permutation,[status(thm)],[c_0_5130]) ).
cnf(c_0_5133_0,axiom,
( is_fun_pname_bool(set_pname(X1))
| ~ is_option_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5133]) ).
cnf(c_0_5133_1,axiom,
( ~ is_option_pname(X1)
| is_fun_pname_bool(set_pname(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5133]) ).
cnf(c_0_5134_0,axiom,
( is_option_pname(some_pname(X1))
| ~ is_pname(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5134]) ).
cnf(c_0_5134_1,axiom,
( ~ is_pname(X1)
| is_option_pname(some_pname(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5134]) ).
cnf(c_0_5135_0,axiom,
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5135]) ).
cnf(c_0_5135_1,axiom,
( ~ is_bool(X1)
| is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5135]) ).
cnf(c_0_5136_0,axiom,
( is_fun_pname_bool(cOMBK_bool_pname(X1))
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5136]) ).
cnf(c_0_5136_1,axiom,
( ~ is_bool(X1)
| is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_5136]) ).
cnf(c_0_5141_0,axiom,
( X1 = X2
| some_com(X1) != some_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5141]) ).
cnf(c_0_5141_1,axiom,
( some_com(X1) != some_com(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_5141]) ).
cnf(c_0_5144_0,axiom,
( sk1_esk97_1(X1) != X1
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_5144]) ).
cnf(c_0_5144_1,axiom,
( ~ hBOOL(hoare_298929751gleton)
| sk1_esk97_1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_5144]) ).
cnf(c_0_5145_0,axiom,
( some_com(X1) = some_com(X2)
| X1 != X2 ),
inference(literals_permutation,[status(thm)],[c_0_5145]) ).
cnf(c_0_5145_1,axiom,
( X1 != X2
| some_com(X1) = some_com(X2) ),
inference(literals_permutation,[status(thm)],[c_0_5145]) ).
cnf(c_0_5146_0,axiom,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5146]) ).
cnf(c_0_5146_1,axiom,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5146]) ).
cnf(c_0_5146_2,axiom,
( ~ is_bool(X1)
| X1 = fTrue
| X1 = fFalse ),
inference(literals_permutation,[status(thm)],[c_0_5146]) ).
cnf(c_0_5147_0,axiom,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5147]) ).
cnf(c_0_5147_1,axiom,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5147]) ).
cnf(c_0_5147_2,axiom,
( ~ is_bool(X1)
| X1 = fTrue
| X1 = fFalse ),
inference(literals_permutation,[status(thm)],[c_0_5147]) ).
cnf(c_0_5148_0,axiom,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5148]) ).
cnf(c_0_5148_1,axiom,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(literals_permutation,[status(thm)],[c_0_5148]) ).
cnf(c_0_5148_2,axiom,
( ~ is_bool(X1)
| X1 = fTrue
| X1 = fFalse ),
inference(literals_permutation,[status(thm)],[c_0_5148]) ).
cnf(c_0_5150_0,axiom,
( sk1_esk99_0 != sk1_esk98_0
| ~ hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_5150]) ).
cnf(c_0_5150_1,axiom,
( ~ hBOOL(hoare_298929751gleton)
| sk1_esk99_0 != sk1_esk98_0 ),
inference(literals_permutation,[status(thm)],[c_0_5150]) ).
cnf(c_0_5151_0,axiom,
( hBOOL(hoare_298929751gleton)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_5151]) ).
cnf(c_0_5151_1,axiom,
( X1 = X2
| hBOOL(hoare_298929751gleton) ),
inference(literals_permutation,[status(thm)],[c_0_5151]) ).
cnf(c_0_4831_0,axiom,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(literals_permutation,[status(thm)],[c_0_4831]) ).
cnf(c_0_4832_0,axiom,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(literals_permutation,[status(thm)],[c_0_4832]) ).
cnf(c_0_4833_0,axiom,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(literals_permutation,[status(thm)],[c_0_4833]) ).
cnf(c_0_4834_0,axiom,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(literals_permutation,[status(thm)],[c_0_4834]) ).
cnf(c_0_4984_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_4984]) ).
cnf(c_0_4985_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) != bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_4985]) ).
cnf(c_0_4986_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2) != bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_4986]) ).
cnf(c_0_4987_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2) != bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_4987]) ).
cnf(c_0_5016_0,axiom,
while(X1,X2) != semi(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_5016]) ).
cnf(c_0_5017_0,axiom,
semi(X1,X2) != while(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_5017]) ).
cnf(c_0_5026_0,axiom,
semi(X1,X2) != hAPP_pname_com(body_1,X3),
inference(literals_permutation,[status(thm)],[c_0_5026]) ).
cnf(c_0_5027_0,axiom,
hAPP_pname_com(body_1,X1) != semi(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_5027]) ).
cnf(c_0_5028_0,axiom,
while(X1,X2) != hAPP_pname_com(body_1,X3),
inference(literals_permutation,[status(thm)],[c_0_5028]) ).
cnf(c_0_5029_0,axiom,
hAPP_pname_com(body_1,X1) != while(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_5029]) ).
cnf(c_0_5115_0,axiom,
semi(X1,X2) != skip,
inference(literals_permutation,[status(thm)],[c_0_5115]) ).
cnf(c_0_5116_0,axiom,
semi(X1,X2) != skip,
inference(literals_permutation,[status(thm)],[c_0_5116]) ).
cnf(c_0_5117_0,axiom,
while(X1,X2) != skip,
inference(literals_permutation,[status(thm)],[c_0_5117]) ).
cnf(c_0_5118_0,axiom,
while(X1,X2) != skip,
inference(literals_permutation,[status(thm)],[c_0_5118]) ).
cnf(c_0_5123_0,axiom,
hAPP_pname_com(body_1,X1) != skip,
inference(literals_permutation,[status(thm)],[c_0_5123]) ).
cnf(c_0_5124_0,axiom,
hAPP_pname_com(body_1,X1) != skip,
inference(literals_permutation,[status(thm)],[c_0_5124]) ).
cnf(c_0_5152_0,axiom,
~ hBOOL(fFalse),
inference(literals_permutation,[status(thm)],[c_0_5152]) ).
cnf(c_0_3874_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,hAPP_f1138284024e_bool(cOMBB_20296667_state(cOMBS_1378840469l_bool),hAPP_f1283379615l_bool(cOMBB_1759179140_state(cOMBB_188601460_state(fconj)),X2))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),X3))),while(X3,X4)),X2)),bot_bo1055319631e_bool))),
inference(literals_permutation,[status(thm)],[c_0_3874]) ).
cnf(c_0_3920_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,X1)))),hAPP_f631639356e_bool(image_275883510_state(X3),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X4),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1))))) = hAPP_f631639356e_bool(image_275883510_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,hAPP_f1405979047_state(cOMBB_707293872_pname(if_Hoa533980679_state),X1)),X2)),X3)),X4),
inference(literals_permutation,[status(thm)],[c_0_3920]) ).
cnf(c_0_3929_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)))),
inference(literals_permutation,[status(thm)],[c_0_3929]) ).
cnf(c_0_3930_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)))),
inference(literals_permutation,[status(thm)],[c_0_3930]) ).
cnf(c_0_3935_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X3),X1)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X3),X1)),
inference(literals_permutation,[status(thm)],[c_0_3935]) ).
cnf(c_0_3937_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)))),
inference(literals_permutation,[status(thm)],[c_0_3937]) ).
cnf(c_0_3938_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2)),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)))),
inference(literals_permutation,[status(thm)],[c_0_3938]) ).
cnf(c_0_3953_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fimplies),hAPP_f921536533e_bool(cOMBB_416661851_state(fNot),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)))),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(collec727977250_state,X2)),
inference(literals_permutation,[status(thm)],[c_0_3953]) ).
cnf(c_0_3954_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fimplies),hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(fNot),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)))),X2)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_3954]) ).
cnf(c_0_3955_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fimplies),hAPP_f559147733l_bool(cOMBB_307249310e_bool(fNot),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)))),X2)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_3955]) ).
cnf(c_0_3956_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fimplies),hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)))),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(collect_pname,X2)),
inference(literals_permutation,[status(thm)],[c_0_3956]) ).
cnf(c_0_3957_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,X2),skip),X2)),bot_bo1055319631e_bool))),
inference(literals_permutation,[status(thm)],[c_0_3957]) ).
cnf(c_0_3958_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X2)),hAPP_f759274231e_bool(collect_pname,X1))),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,dom_pname_com(X3)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),X1)))) = dom_pname_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,hAPP_f755519727on_com(cOMBB_1394247784_pname(if_option_com),X1)),X2)),X3)),
inference(literals_permutation,[status(thm)],[c_0_3958]) ).
cnf(c_0_3971_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3))),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)))),
inference(literals_permutation,[status(thm)],[c_0_3971]) ).
cnf(c_0_4012_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4012]) ).
cnf(c_0_4013_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4013]) ).
cnf(c_0_4014_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4014]) ).
cnf(c_0_4015_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4015]) ).
cnf(c_0_4016_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4016]) ).
cnf(c_0_4017_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4017]) ).
cnf(c_0_4018_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4018]) ).
cnf(c_0_4019_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4019]) ).
cnf(c_0_4020_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4020]) ).
cnf(c_0_4021_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4021]) ).
cnf(c_0_4022_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4022]) ).
cnf(c_0_4023_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4023]) ).
cnf(c_0_4024_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,member1758697444_state),X2))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4024]) ).
cnf(c_0_4025_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,member402455436e_bool),X2))) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4025]) ).
cnf(c_0_4026_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,member799430823e_bool),X2))) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4026]) ).
cnf(c_0_4027_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,member_pname),X2))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4027]) ).
cnf(c_0_4150_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),bot_bo1055319631e_bool))),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4150]) ).
cnf(c_0_4228_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3),
inference(literals_permutation,[status(thm)],[c_0_4228]) ).
cnf(c_0_4229_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3),
inference(literals_permutation,[status(thm)],[c_0_4229]) ).
cnf(c_0_4230_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3),
inference(literals_permutation,[status(thm)],[c_0_4230]) ).
cnf(c_0_4231_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X3),
inference(literals_permutation,[status(thm)],[c_0_4231]) ).
cnf(c_0_4305_0,axiom,
hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1))),X2) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4305]) ).
cnf(c_0_4306_0,axiom,
hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1))),X2) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4306]) ).
cnf(c_0_4307_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1))),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4307]) ).
cnf(c_0_4308_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1))),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4308]) ).
cnf(c_0_4338_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4338]) ).
cnf(c_0_4339_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4339]) ).
cnf(c_0_4340_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4340]) ).
cnf(c_0_4341_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4341]) ).
cnf(c_0_4342_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4342]) ).
cnf(c_0_4343_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4343]) ).
cnf(c_0_4344_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4344]) ).
cnf(c_0_4345_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4345]) ).
cnf(c_0_4346_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4346]) ).
cnf(c_0_4347_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X1)),
inference(literals_permutation,[status(thm)],[c_0_4347]) ).
cnf(c_0_4348_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4348]) ).
cnf(c_0_4349_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),X2)),X2)),
inference(literals_permutation,[status(thm)],[c_0_4349]) ).
cnf(c_0_4352_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4352]) ).
cnf(c_0_4353_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4353]) ).
cnf(c_0_4354_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4354]) ).
cnf(c_0_4355_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4355]) ).
cnf(c_0_4356_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4356]) ).
cnf(c_0_4357_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4357]) ).
cnf(c_0_4441_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fconj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila1410775201l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_4441]) ).
cnf(c_0_4442_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fconj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1130628874l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_4442]) ).
cnf(c_0_4443_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fconj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
inference(literals_permutation,[status(thm)],[c_0_4443]) ).
cnf(c_0_4444_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fconj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
inference(literals_permutation,[status(thm)],[c_0_4444]) ).
cnf(c_0_4445_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,hAPP_f1558728829l_bool(cOMBB_1382207997_state(fdisj),X1)),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(collec727977250_state,X1)),hAPP_f921536533e_bool(collec727977250_state,X2)),
inference(literals_permutation,[status(thm)],[c_0_4445]) ).
cnf(c_0_4446_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,hAPP_f482022705l_bool(cOMBB_2020112947e_bool(fdisj),X1)),X2)) = hAPP_f1970439265l_bool(hAPP_f1587382801l_bool(semila2055205435l_bool,hAPP_f1970439265l_bool(collec111528142e_bool,X1)),hAPP_f1970439265l_bool(collec111528142e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_4446]) ).
cnf(c_0_4447_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,hAPP_f143162813l_bool(cOMBB_2095475776e_bool(fdisj),X1)),X2)) = hAPP_f559147733l_bool(hAPP_f230953622l_bool(semila1782091504l_bool,hAPP_f559147733l_bool(collec1974731493e_bool,X1)),hAPP_f559147733l_bool(collec1974731493e_bool,X2)),
inference(literals_permutation,[status(thm)],[c_0_4447]) ).
cnf(c_0_4448_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,hAPP_f1402196763l_bool(cOMBB_675860798_pname(fdisj),X1)),X2)) = hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(collect_pname,X1)),hAPP_f759274231e_bool(collect_pname,X2)),
inference(literals_permutation,[status(thm)],[c_0_4448]) ).
cnf(c_0_4508_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4508]) ).
cnf(c_0_4509_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4509]) ).
cnf(c_0_4510_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4510]) ).
cnf(c_0_4511_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4511]) ).
cnf(c_0_4512_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4512]) ).
cnf(c_0_4513_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)),X3) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4513]) ).
cnf(c_0_4515_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(minus_2076558538e_bool,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool))) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4515]) ).
cnf(c_0_4516_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool))) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4516]) ).
cnf(c_0_4517_0,axiom,
hAPP_f2143211163_state(the_Ho10452358_state,hAPP_f1456107715e_bool(cOMBB_1653402815_state(hAPP_f854625363l_bool(fequal1746921144e_bool,X1)),hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,insert1835143293_state),bot_bo1055319631e_bool))) = hAPP_f2143211163_state(the_el23965208_state,X1),
inference(literals_permutation,[status(thm)],[c_0_4517]) ).
cnf(c_0_4518_0,axiom,
hAPP_f1297739591_pname(the_pname,hAPP_f42430548e_bool(cOMBB_530759491_pname(hAPP_f434788991l_bool(fequal533582459e_bool,X1)),hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,insert_pname),bot_bo844097828e_bool))) = hAPP_f1297739591_pname(the_elem_pname,X1),
inference(literals_permutation,[status(thm)],[c_0_4518]) ).
cnf(c_0_4550_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f631639356e_bool(image_275883510_state(X1),X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4550]) ).
cnf(c_0_4581_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4581]) ).
cnf(c_0_4582_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4582]) ).
cnf(c_0_4583_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4583]) ).
cnf(c_0_4584_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4584]) ).
cnf(c_0_4585_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4585]) ).
cnf(c_0_4586_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4586]) ).
cnf(c_0_4587_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4587]) ).
cnf(c_0_4588_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4588]) ).
cnf(c_0_4589_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4589]) ).
cnf(c_0_4590_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4590]) ).
cnf(c_0_4591_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4591]) ).
cnf(c_0_4592_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4592]) ).
cnf(c_0_4593_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4593]) ).
cnf(c_0_4594_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X1))),
inference(literals_permutation,[status(thm)],[c_0_4594]) ).
cnf(c_0_4595_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4595]) ).
cnf(c_0_4596_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2))),
inference(literals_permutation,[status(thm)],[c_0_4596]) ).
cnf(c_0_4597_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_p1842370726_state(X1,X2)),hAPP_f631639356e_bool(image_275883510_state(X1),X3)) = hAPP_f631639356e_bool(image_275883510_state(X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4597]) ).
cnf(c_0_4598_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,hAPP_H1344248906_pname(X1,X2)),hAPP_f1745235422e_bool(image_1925245338_pname(X1),X3)) = hAPP_f1745235422e_bool(image_1925245338_pname(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_4598]) ).
cnf(c_0_4605_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4605]) ).
cnf(c_0_4606_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4606]) ).
cnf(c_0_4607_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4607]) ).
cnf(c_0_4608_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4608]) ).
cnf(c_0_4609_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4609]) ).
cnf(c_0_4610_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X3)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4610]) ).
cnf(c_0_4611_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),X3)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X2),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4611]) ).
cnf(c_0_4612_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),X3)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X2),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X3)),
inference(literals_permutation,[status(thm)],[c_0_4612]) ).
cnf(c_0_4635_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)),X2) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4635]) ).
cnf(c_0_4636_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila278973382e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool)),X2) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4636]) ).
cnf(c_0_4721_0,axiom,
hAPP_p80247908_state(hAPP_f2101567797_state(hAPP_f939130838_state(cOMBS_381334199_state,X1),X2),X3) = hAPP_H521649881_state(hAPP_p964374716_state(X1,X3),hAPP_p1842370726_state(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4721]) ).
cnf(c_0_4722_0,axiom,
hAPP_p1712839024_state(hAPP_f2136041130_state(hAPP_f1777033564_state(cOMBS_1401555724_state,X1),X2),X3) = hAPP_c408625258_state(hAPP_p2032835427_state(X1,X3),hAPP_pname_com(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4722]) ).
cnf(c_0_4723_0,axiom,
hAPP_f588507005_state(hAPP_p1712839024_state(X1,X3),hAPP_p1637813682e_bool(X2,X3)) = hAPP_p1842370726_state(hAPP_f1296386871_state(hAPP_f358330902_state(cOMBS_1615712031_state,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_4723]) ).
cnf(c_0_4724_0,axiom,
hAPP_H563960305_state(hAPP_p80247908_state(X1,X3),hAPP_p1842370726_state(X2,X3)) = hAPP_p1842370726_state(hAPP_f1661207211_state(hAPP_f137248406_state(cOMBS_843273363_state,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_4724]) ).
cnf(c_0_4725_0,axiom,
hAPP_p1086945780on_com(hAPP_f648377725on_com(hAPP_f2093196134on_com(cOMBS_1529518335on_com,X1),X2),X3) = hAPP_o334540577on_com(hAPP_p1164893188on_com(X1,X3),hAPP_p799580910on_com(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4725]) ).
cnf(c_0_4726_0,axiom,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f1850463605l_bool(cOMBS_2138645332l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1508101115l_bool(X1,X3),hAPP_f1760790145l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4726]) ).
cnf(c_0_4727_0,axiom,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f760664097e_bool(cOMBS_1248383340l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_H226398757l_bool(X1,X3),hAPP_H513860823e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4727]) ).
cnf(c_0_4728_0,axiom,
hAPP_o356497025on_com(hAPP_p1086945780on_com(X1,X3),hAPP_p799580910on_com(X2,X3)) = hAPP_p799580910on_com(hAPP_f2123220539on_com(hAPP_f1673966486on_com(cOMBS_904531235on_com,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_4728]) ).
cnf(c_0_4729_0,axiom,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f624840228l_bool(cOMBS_350070575l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X3),hAPP_f1664156314l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4729]) ).
cnf(c_0_4730_0,axiom,
hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),hAPP_state_bool(X2,X3)) = hAPP_state_bool(hAPP_f1759915619e_bool(hAPP_f644196280e_bool(cOMBS_1378840469l_bool,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_4730]) ).
cnf(c_0_4731_0,axiom,
hAPP_bool_bool(hAPP_p393069232l_bool(X1,X3),hAPP_pname_bool(X2,X3)) = hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f649174806e_bool(cOMBS_568398431l_bool,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_4731]) ).
cnf(c_0_4749_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4749]) ).
cnf(c_0_4750_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4750]) ).
cnf(c_0_4751_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4751]) ).
cnf(c_0_4752_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4752]) ).
cnf(c_0_4753_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4753]) ).
cnf(c_0_4754_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_4754]) ).
cnf(c_0_4776_0,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
inference(literals_permutation,[status(thm)],[c_0_4776]) ).
cnf(c_0_4783_0,axiom,
hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,sk1_esk128_1(X1)),sk1_esk129_1(X1)),sk1_esk130_1(X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_4783]) ).
cnf(c_0_4786_0,axiom,
hAPP_f239102607l_bool(hAPP_f1269496639l_bool(hAPP_f1508257257l_bool(cOMBC_1084925030l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f1269496639l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4786]) ).
cnf(c_0_4787_0,axiom,
hAPP_H1645666623e_bool(hAPP_f762269719e_bool(hAPP_f964290431e_bool(cOMBC_488258100e_bool,X1),X2),X3) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4787]) ).
cnf(c_0_4788_0,axiom,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(hAPP_f517001763l_bool(cOMBC_1166591542l_bool,X1),X2),X3) = hAPP_f239102607l_bool(hAPP_f105100493l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4788]) ).
cnf(c_0_4789_0,axiom,
hAPP_f1760790145l_bool(hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_f854625363l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4789]) ).
cnf(c_0_4790_0,axiom,
hAPP_f1760790145l_bool(hAPP_H248360617l_bool(hAPP_f492098723l_bool(cOMBC_1305755390e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f921536533e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4790]) ).
cnf(c_0_4791_0,axiom,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(hAPP_f1262649863e_bool(cOMBC_764456866l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_H248360617l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4791]) ).
cnf(c_0_4792_0,axiom,
hAPP_f1935102916l_bool(hAPP_f510955609l_bool(hAPP_f1879335953l_bool(cOMBC_7971162l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4792]) ).
cnf(c_0_4793_0,axiom,
hAPP_H513860823e_bool(hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_H1645666623e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4793]) ).
cnf(c_0_4794_0,axiom,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(hAPP_f1145991873l_bool(cOMBC_1988546018l_bool,X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4794]) ).
cnf(c_0_4795_0,axiom,
hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(hAPP_f2070658331l_bool(cOMBC_367297061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f1745235422e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4795]) ).
cnf(c_0_4796_0,axiom,
hAPP_f1664156314l_bool(hAPP_H737849090l_bool(hAPP_f261382953l_bool(cOMBC_2107548985e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_f631639356e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4796]) ).
cnf(c_0_4797_0,axiom,
hAPP_H513860823e_bool(hAPP_f631639356e_bool(hAPP_f1721106985e_bool(cOMBC_498627897l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_H737849090l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4797]) ).
cnf(c_0_4798_0,axiom,
hAPP_pname_bool(hAPP_f1745235422e_bool(hAPP_f1558052123e_bool(cOMBC_2140141647l_bool,X1),X2),X3) = hAPP_f1760790145l_bool(hAPP_p1617973726l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4798]) ).
cnf(c_0_4799_0,axiom,
hAPP_s1806633685e_bool(hAPP_f1863945078e_bool(hAPP_f915354021e_bool(cOMBC_952831051e_bool,X1),X2),X3) = hAPP_f1759915619e_bool(hAPP_s1226857760e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4799]) ).
cnf(c_0_4800_0,axiom,
hAPP_p61793385e_bool(hAPP_f180827860e_bool(hAPP_f698292281e_bool(cOMBC_1123258281e_bool,X1),X2),X3) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4800]) ).
cnf(c_0_4801_0,axiom,
hAPP_f1664156314l_bool(hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4801]) ).
cnf(c_0_4802_0,axiom,
hAPP_H513860823e_bool(hAPP_p877885514e_bool(hAPP_f294904177e_bool(cOMBC_725526061e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_H1632039476e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4802]) ).
cnf(c_0_4803_0,axiom,
hAPP_pname_bool(hAPP_H1632039476e_bool(hAPP_f167506745e_bool(cOMBC_290948233e_bool,X1),X2),X3) = hAPP_H513860823e_bool(hAPP_p877885514e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4803]) ).
cnf(c_0_4804_0,axiom,
hAPP_f1664156314l_bool(hAPP_p338031245l_bool(hAPP_f2082757169l_bool(cOMBC_1004116266e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_f759274231e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4804]) ).
cnf(c_0_4805_0,axiom,
hAPP_s1806633685e_bool(hAPP_b1095269219e_bool(hAPP_f701449317e_bool(cOMBC_471052088e_bool,X1),X2),X3) = hAPP_b2019457360e_bool(hAPP_s1874344717e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4805]) ).
cnf(c_0_4806_0,axiom,
hAPP_pname_bool(hAPP_f759274231e_bool(hAPP_f661147897e_bool(cOMBC_1058051404l_bool,X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4806]) ).
cnf(c_0_4807_0,axiom,
hAPP_state_bool(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,X1),X2),X3) = hAPP_state_bool(hAPP_s1806633685e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4807]) ).
cnf(c_0_4808_0,axiom,
hAPP_pname_bool(hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4808]) ).
cnf(c_0_4809_0,axiom,
hAPP_state_bool(hAPP_b2019457360e_bool(hAPP_f167292325e_bool(cOMBC_231445413l_bool,X1),X2),X3) = hAPP_bool_bool(hAPP_s58564346l_bool(X1,X3),X2),
inference(literals_permutation,[status(thm)],[c_0_4809]) ).
cnf(c_0_4836_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(hAPP_f262880489e_bool(cOMBC_1424981238e_bool,fequal1531560888_state),X1)) = hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool),
inference(literals_permutation,[status(thm)],[c_0_4836]) ).
cnf(c_0_4837_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(hAPP_f2119687429l_bool(cOMBC_1018307482l_bool,fequal1746921144e_bool),X1)) = hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool),
inference(literals_permutation,[status(thm)],[c_0_4837]) ).
cnf(c_0_4838_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(hAPP_f1297925993l_bool(cOMBC_1284144636l_bool,fequal533582459e_bool),X1)) = hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool),
inference(literals_permutation,[status(thm)],[c_0_4838]) ).
cnf(c_0_4839_0,axiom,
hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(hAPP_f22061361e_bool(cOMBC_1149511130e_bool,fequal_pname),X1)) = hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool),
inference(literals_permutation,[status(thm)],[c_0_4839]) ).
cnf(c_0_4840_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),X2)) = X1,
inference(literals_permutation,[status(thm)],[c_0_4840]) ).
cnf(c_0_4841_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2)) = X1,
inference(literals_permutation,[status(thm)],[c_0_4841]) ).
cnf(c_0_4858_0,axiom,
hAPP_f588507005_state(hAPP_c408625258_state(hAPP_f1949912908_state(hoare_1575745797_state,fequal_state),X1),evalc(X1)) = hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1),
inference(literals_permutation,[status(thm)],[c_0_4858]) ).
cnf(c_0_4861_0,axiom,
hBOOL(hAPP_state_bool(hAPP_s1806633685e_bool(evalc(skip),X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_4861]) ).
cnf(c_0_4866_0,axiom,
hAPP_H248360617l_bool(hAPP_f1862834069l_bool(cOMBB_1239130257_state(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4866]) ).
cnf(c_0_4867_0,axiom,
hAPP_p2032835427_state(hAPP_f950918952_state(cOMBB_2123334001_pname(X1),X2),X3) = hAPP_f1949912908_state(X1,hAPP_p1637813682e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4867]) ).
cnf(c_0_4868_0,axiom,
hAPP_p964374716_state(hAPP_f1405979047_state(cOMBB_707293872_pname(X1),X2),X3) = hAPP_b798484845_state(X1,hAPP_pname_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4868]) ).
cnf(c_0_4869_0,axiom,
hAPP_f921536533e_bool(hAPP_f481659057e_bool(cOMBB_1099197107e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f2143211163_state(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4869]) ).
cnf(c_0_4870_0,axiom,
hAPP_p1617973726l_bool(hAPP_f2081555625l_bool(cOMBB_44445098_pname(X1),X2),X3) = hAPP_f854625363l_bool(X1,hAPP_p877885514e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4870]) ).
cnf(c_0_4871_0,axiom,
hAPP_H1645666623e_bool(hAPP_f1844318385e_bool(cOMBB_291471741_state(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_H563960305_state(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4871]) ).
cnf(c_0_4872_0,axiom,
hAPP_f631639356e_bool(hAPP_f547518321e_bool(cOMBB_1170234304e_bool(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_f1308959284_state(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4872]) ).
cnf(c_0_4873_0,axiom,
hAPP_s1226857760e_bool(hAPP_f1138284024e_bool(cOMBB_20296667_state(X1),X2),X3) = hAPP_f644196280e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4873]) ).
cnf(c_0_4874_0,axiom,
hAPP_H737849090l_bool(hAPP_f376825399l_bool(cOMBB_1722165949_state(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_H1632039476e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4874]) ).
cnf(c_0_4875_0,axiom,
hAPP_p877885514e_bool(hAPP_f998786331e_bool(cOMBB_799949246_pname(X1),X2),X3) = hAPP_H1645666623e_bool(X1,hAPP_p1842370726_state(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4875]) ).
cnf(c_0_4876_0,axiom,
hAPP_H513860823e_bool(hAPP_f1456107715e_bool(cOMBB_1653402815_state(X1),X2),X3) = hAPP_f1760790145l_bool(X1,hAPP_H1645666623e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4876]) ).
cnf(c_0_4877_0,axiom,
hAPP_p1164893188on_com(hAPP_f755519727on_com(cOMBB_1394247784_pname(X1),X2),X3) = hAPP_b1679505845on_com(X1,hAPP_pname_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4877]) ).
cnf(c_0_4878_0,axiom,
hAPP_s1874344717e_bool(hAPP_f873506917e_bool(cOMBB_1757942702_state(X1),X2),X3) = hAPP_f167292325e_bool(X1,hAPP_s2001034685l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4878]) ).
cnf(c_0_4879_0,axiom,
hAPP_f1745235422e_bool(hAPP_f1973135743e_bool(cOMBB_1671808265e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1008690464_pname(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4879]) ).
cnf(c_0_4880_0,axiom,
hAPP_f1508101115l_bool(hAPP_f482022705l_bool(cOMBB_2020112947e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4880]) ).
cnf(c_0_4881_0,axiom,
hAPP_s1806633685e_bool(hAPP_f1935169308e_bool(cOMBB_1036740637_state(X1),X2),X3) = hAPP_f1012183542e_bool(X1,hAPP_s336103912e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4881]) ).
cnf(c_0_4882_0,axiom,
hAPP_s336103912e_bool(hAPP_f249262236e_bool(cOMBB_1476898461_state(X1),X2),X3) = hAPP_f1863945078e_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4882]) ).
cnf(c_0_4883_0,axiom,
hAPP_s2001034685l_bool(hAPP_f1283379615l_bool(cOMBB_1759179140_state(X1),X2),X3) = hAPP_f1259673775l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4883]) ).
cnf(c_0_4884_0,axiom,
hAPP_p338031245l_bool(hAPP_f567934427l_bool(cOMBB_408569982_pname(X1),X2),X3) = hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4884]) ).
cnf(c_0_4885_0,axiom,
hAPP_H1632039476e_bool(hAPP_f833390165e_bool(cOMBB_1456120487_state(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_H1344248906_pname(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4885]) ).
cnf(c_0_4886_0,axiom,
hAPP_H226398757l_bool(hAPP_f1558728829l_bool(cOMBB_1382207997_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H513860823e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4886]) ).
cnf(c_0_4887_0,axiom,
hAPP_f1760790145l_bool(hAPP_f1970439265l_bool(cOMBB_1957242197e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1760790145l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4887]) ).
cnf(c_0_4888_0,axiom,
hAPP_f759274231e_bool(hAPP_f1385420507e_bool(cOMBB_598082538e_bool(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4888]) ).
cnf(c_0_4889_0,axiom,
hAPP_f1476298914l_bool(hAPP_f143162813l_bool(cOMBB_2095475776e_bool(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4889]) ).
cnf(c_0_4890_0,axiom,
hAPP_H513860823e_bool(hAPP_f921536533e_bool(cOMBB_416661851_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_H513860823e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4890]) ).
cnf(c_0_4891_0,axiom,
hAPP_p1842370726_state(hAPP_f1758910594_state(cOMBB_422605457_pname(X1),X2),X3) = hAPP_c1546227244_state(X1,hAPP_pname_com(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4891]) ).
cnf(c_0_4892_0,axiom,
hAPP_p61793385e_bool(hAPP_f1336811455e_bool(cOMBB_542850580_pname(X1),X2),X3) = hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4892]) ).
cnf(c_0_4893_0,axiom,
hAPP_state_bool(hAPP_f1012183542e_bool(cOMBB_1911358915_state(X1),X2),X3) = hAPP_f327114704l_bool(X1,hAPP_s1806633685e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4893]) ).
cnf(c_0_4894_0,axiom,
hAPP_pname_bool(hAPP_f42430548e_bool(cOMBB_530759491_pname(X1),X2),X3) = hAPP_f1664156314l_bool(X1,hAPP_p61793385e_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4894]) ).
cnf(c_0_4895_0,axiom,
hAPP_s58564346l_bool(hAPP_f1259673775l_bool(cOMBB_188601460_state(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_state_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4895]) ).
cnf(c_0_4896_0,axiom,
hAPP_p393069232l_bool(hAPP_f1402196763l_bool(cOMBB_675860798_pname(X1),X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4896]) ).
cnf(c_0_4897_0,axiom,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBB_307249310e_bool(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4897]) ).
cnf(c_0_4898_0,axiom,
hAPP_pname_com(hAPP_f96342628me_com(cOMBB_923936821_pname(X1),X2),X3) = hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4898]) ).
cnf(c_0_4899_0,axiom,
hAPP_state_bool(hAPP_f1759915619e_bool(cOMBB_160679318_state(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_state_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4899]) ).
cnf(c_0_4900_0,axiom,
hAPP_pname_bool(hAPP_f759274231e_bool(cOMBB_647938656_pname(X1),X2),X3) = hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)),
inference(literals_permutation,[status(thm)],[c_0_4900]) ).
cnf(c_0_4912_0,axiom,
hAPP_f2143211163_state(the_el23965208_state,hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool)) = X1,
inference(literals_permutation,[status(thm)],[c_0_4912]) ).
cnf(c_0_4913_0,axiom,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fFalse),X1),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_4913]) ).
cnf(c_0_4914_0,axiom,
hAPP_H563960305_state(hAPP_H521649881_state(hAPP_b798484845_state(if_Hoa533980679_state,fTrue),X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_4914]) ).
cnf(c_0_4915_0,axiom,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fFalse),X1),X2) = X2,
inference(literals_permutation,[status(thm)],[c_0_4915]) ).
cnf(c_0_4916_0,axiom,
hAPP_o356497025on_com(hAPP_o334540577on_com(hAPP_b1679505845on_com(if_option_com,fTrue),X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_4916]) ).
cnf(c_0_4938_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_4938]) ).
cnf(c_0_4939_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_4939]) ).
cnf(c_0_4940_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_4940]) ).
cnf(c_0_4941_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_4941]) ).
cnf(c_0_4953_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_4953]) ).
cnf(c_0_4954_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_4954]) ).
cnf(c_0_4955_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_4955]) ).
cnf(c_0_4956_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X2) = hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X2),X1),
inference(literals_permutation,[status(thm)],[c_0_4956]) ).
cnf(c_0_4958_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) = hAPP_f921536533e_bool(collec727977250_state,hAPP_H1645666623e_bool(fequal1531560888_state,X1)),
inference(literals_permutation,[status(thm)],[c_0_4958]) ).
cnf(c_0_4959_0,axiom,
hAPP_f1970439265l_bool(hAPP_f601642911l_bool(insert1991711667e_bool,X1),bot_bo1325454745l_bool) = hAPP_f1970439265l_bool(collec111528142e_bool,hAPP_f854625363l_bool(fequal1746921144e_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_4959]) ).
cnf(c_0_4960_0,axiom,
hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,X1),bot_bo1649642514l_bool) = hAPP_f559147733l_bool(collec1974731493e_bool,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),
inference(literals_permutation,[status(thm)],[c_0_4960]) ).
cnf(c_0_4961_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) = hAPP_f759274231e_bool(collect_pname,hAPP_p61793385e_bool(fequal_pname,X1)),
inference(literals_permutation,[status(thm)],[c_0_4961]) ).
cnf(c_0_4962_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_4962]) ).
cnf(c_0_4963_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_4963]) ).
cnf(c_0_4964_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_4964]) ).
cnf(c_0_4965_0,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
inference(literals_permutation,[status(thm)],[c_0_4965]) ).
cnf(c_0_5002_0,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
inference(literals_permutation,[status(thm)],[c_0_5002]) ).
cnf(c_0_5011_0,axiom,
hAPP_f1682609283m_bool(hAPP_c566651504m_bool(insert_com,X1),bot_bot_fun_com_bool) = set_com(some_com(X1)),
inference(literals_permutation,[status(thm)],[c_0_5011]) ).
cnf(c_0_5012_0,axiom,
hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,X1),bot_bo1055319631e_bool) = set_Ho1831989999_state(some_H1133819688_state(X1)),
inference(literals_permutation,[status(thm)],[c_0_5012]) ).
cnf(c_0_5013_0,axiom,
hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,X1),bot_bo844097828e_bool) = set_pname(some_pname(X1)),
inference(literals_permutation,[status(thm)],[c_0_5013]) ).
cnf(c_0_5032_0,axiom,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
inference(literals_permutation,[status(thm)],[c_0_5032]) ).
cnf(c_0_5033_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5033]) ).
cnf(c_0_5034_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5034]) ).
cnf(c_0_5035_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5035]) ).
cnf(c_0_5048_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
inference(literals_permutation,[status(thm)],[c_0_5048]) ).
cnf(c_0_5049_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,X1),bot_bo1055319631e_bool) = X1,
inference(literals_permutation,[status(thm)],[c_0_5049]) ).
cnf(c_0_5050_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5050]) ).
cnf(c_0_5051_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5051]) ).
cnf(c_0_5052_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,X1),bot_bo1055319631e_bool) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5052]) ).
cnf(c_0_5053_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5053]) ).
cnf(c_0_5057_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5057]) ).
cnf(c_0_5058_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila447562797e_bool,bot_bo1055319631e_bool),X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5058]) ).
cnf(c_0_5059_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5059]) ).
cnf(c_0_5060_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5060]) ).
cnf(c_0_5061_0,axiom,
hAPP_f921536533e_bool(hAPP_f1583986009e_bool(semila2145357127e_bool,bot_bo1055319631e_bool),X1) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5061]) ).
cnf(c_0_5062_0,axiom,
hAPP_f759274231e_bool(hAPP_f1388330588e_bool(semila1635148844e_bool,bot_bo844097828e_bool),X1) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5062]) ).
cnf(c_0_5065_0,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
inference(literals_permutation,[status(thm)],[c_0_5065]) ).
cnf(c_0_5071_0,axiom,
is_bool(hAPP_f1904669497l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5071]) ).
cnf(c_0_5072_0,axiom,
is_bool(hAPP_f389811538l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5072]) ).
cnf(c_0_5073_0,axiom,
is_fun_pname_bool(hAPP_f280588268e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5073]) ).
cnf(c_0_5074_0,axiom,
is_bool(hAPP_f239102607l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5074]) ).
cnf(c_0_5075_0,axiom,
is_fun1661590463l_bool(hAPP_f748867288l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5075]) ).
cnf(c_0_5076_0,axiom,
is_fun_pname_bool(hAPP_f1745235422e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5076]) ).
cnf(c_0_5077_0,axiom,
is_pname(hAPP_f1008690464_pname(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5077]) ).
cnf(c_0_5078_0,axiom,
is_bool(hAPP_f327114704l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5078]) ).
cnf(c_0_5079_0,axiom,
is_fun_pname_bool(hAPP_f42430548e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5079]) ).
cnf(c_0_5080_0,axiom,
is_bool(hAPP_f990396704l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5080]) ).
cnf(c_0_5081_0,axiom,
is_fun1661590463l_bool(hAPP_H737849090l_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5081]) ).
cnf(c_0_5082_0,axiom,
is_fun_pname_bool(hAPP_H1632039476e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5082]) ).
cnf(c_0_5083_0,axiom,
is_bool(hAPP_H513860823e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5083]) ).
cnf(c_0_5084_0,axiom,
is_pname(hAPP_H1344248906_pname(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5084]) ).
cnf(c_0_5085_0,axiom,
is_bool(hAPP_state_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5085]) ).
cnf(c_0_5086_0,axiom,
is_bool(hAPP_com_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5086]) ).
cnf(c_0_5087_0,axiom,
is_bool(finite959343283e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5087]) ).
cnf(c_0_5088_0,axiom,
is_bool(finite1268145088e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5088]) ).
cnf(c_0_5089_0,axiom,
is_bool(finite506823037_state(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5089]) ).
cnf(c_0_5090_0,axiom,
is_bool(finite89670078_pname(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5090]) ).
cnf(c_0_5091_0,axiom,
is_bool(finite132673334e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5091]) ).
cnf(c_0_5092_0,axiom,
is_bool(finite1626890877e_bool(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5092]) ).
cnf(c_0_5093_0,axiom,
is_bool(finite774711482_state(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5093]) ).
cnf(c_0_5094_0,axiom,
is_bool(finite1282449217_pname(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_5094]) ).
cnf(c_0_5104_0,axiom,
hBOOL(hAPP_com_bool(wt,skip)),
inference(literals_permutation,[status(thm)],[c_0_5104]) ).
cnf(c_0_5105_0,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
inference(literals_permutation,[status(thm)],[c_0_5105]) ).
cnf(c_0_5106_0,axiom,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
inference(literals_permutation,[status(thm)],[c_0_5106]) ).
cnf(c_0_5107_0,axiom,
hBOOL(hAPP_f239102607l_bool(finite899049100e_bool,bot_bo1325454745l_bool)),
inference(literals_permutation,[status(thm)],[c_0_5107]) ).
cnf(c_0_5108_0,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
inference(literals_permutation,[status(thm)],[c_0_5108]) ).
cnf(c_0_5119_0,axiom,
hAPP_p1842370726_state(cOMBK_90103121_pname(X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_5119]) ).
cnf(c_0_5120_0,axiom,
hAPP_s1806633685e_bool(cOMBK_631994958_state(X1),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_5120]) ).
cnf(c_0_5125_0,axiom,
hAPP_option_com_com(the_com,some_com(X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_5125]) ).
cnf(c_0_5131_0,axiom,
hAPP_f631639356e_bool(image_275883510_state(X1),bot_bo844097828e_bool) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5131]) ).
cnf(c_0_5132_0,axiom,
hAPP_f1745235422e_bool(image_1925245338_pname(X1),bot_bo1055319631e_bool) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5132]) ).
cnf(c_0_5137_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)) = bot_bo1055319631e_bool,
inference(literals_permutation,[status(thm)],[c_0_5137]) ).
cnf(c_0_5138_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,cOMBK_564432736e_bool(fFalse)) = bot_bo1325454745l_bool,
inference(literals_permutation,[status(thm)],[c_0_5138]) ).
cnf(c_0_5139_0,axiom,
hAPP_f559147733l_bool(collec1974731493e_bool,cOMBK_1857069011e_bool(fFalse)) = bot_bo1649642514l_bool,
inference(literals_permutation,[status(thm)],[c_0_5139]) ).
cnf(c_0_5140_0,axiom,
hAPP_f759274231e_bool(collect_pname,cOMBK_bool_pname(fFalse)) = bot_bo844097828e_bool,
inference(literals_permutation,[status(thm)],[c_0_5140]) ).
cnf(c_0_5142_0,axiom,
hAPP_f1970439265l_bool(collec111528142e_bool,X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5142]) ).
cnf(c_0_5143_0,axiom,
hAPP_f921536533e_bool(collec727977250_state,X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_5143]) ).
cnf(c_0_5149_0,axiom,
is_pname(undefined_pname(pname)),
inference(literals_permutation,[status(thm)],[c_0_5149]) ).
cnf(c_0_5153_0,axiom,
is_bool(fTrue),
inference(literals_permutation,[status(thm)],[c_0_5153]) ).
cnf(c_0_5154_0,axiom,
is_bool(fFalse),
inference(literals_permutation,[status(thm)],[c_0_5154]) ).
cnf(c_0_5155_0,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
inference(literals_permutation,[status(thm)],[c_0_5155]) ).
cnf(c_0_5156_0,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
inference(literals_permutation,[status(thm)],[c_0_5156]) ).
cnf(c_0_5157_0,axiom,
is_bool(bot_bot_bool),
inference(literals_permutation,[status(thm)],[c_0_5157]) ).
cnf(c_0_5158_0,axiom,
is_fun1661590463l_bool(finite_finite_pname),
inference(literals_permutation,[status(thm)],[c_0_5158]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('<stdin>',conj_7) ).
fof(c_0_1_002,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))),
file('<stdin>',conj_4) ).
fof(c_0_2_003,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
file('<stdin>',conj_6) ).
fof(c_0_3_004,hypothesis,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)),
file('<stdin>',conj_3) ).
fof(c_0_4_005,hypothesis,
! [X1,X2] : is_bool(hAPP_f1760790145l_bool(X1,X2)),
file('<stdin>',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004) ).
fof(c_0_5_006,hypothesis,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)),
file('<stdin>',conj_2) ).
fof(c_0_6_007,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('<stdin>',conj_5) ).
fof(c_0_7_008,hypothesis,
! [X1] : is_fun_pname_bool(dom_pname_com(X1)),
file('<stdin>',gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) ).
fof(c_0_8_009,hypothesis,
hBOOL(wT_bodies),
file('<stdin>',conj_1) ).
fof(c_0_9_010,hypothesis,
hBOOL(hoare_298929751gleton),
file('<stdin>',conj_0) ).
fof(c_0_10_011,hypothesis,
is_pname(pn),
file('<stdin>',gsy_v_pn) ).
fof(c_0_11_012,hypothesis,
is_bool(hoare_298929751gleton),
file('<stdin>',gsy_c_Hoare__Mirabelle__ddpglwnxwg_Ostate__not__singleton) ).
fof(c_0_12_013,hypothesis,
is_bool(wT_bodies),
file('<stdin>',gsy_c_Com_OWT__bodies) ).
fof(c_0_13_014,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_14_015,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))),
c_0_1 ).
fof(c_0_15_016,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
c_0_2 ).
fof(c_0_16_017,hypothesis,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_17_018,hypothesis,
! [X1,X2] : is_bool(hAPP_f1760790145l_bool(X1,X2)),
c_0_4 ).
fof(c_0_18_019,hypothesis,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)),
c_0_5 ).
fof(c_0_19_020,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
c_0_6 ).
fof(c_0_20_021,hypothesis,
! [X1] : is_fun_pname_bool(dom_pname_com(X1)),
c_0_7 ).
fof(c_0_21_022,hypothesis,
hBOOL(wT_bodies),
c_0_8 ).
fof(c_0_22_023,hypothesis,
hBOOL(hoare_298929751gleton),
c_0_9 ).
fof(c_0_23_024,hypothesis,
is_pname(pn),
c_0_10 ).
fof(c_0_24_025,hypothesis,
is_bool(hoare_298929751gleton),
c_0_11 ).
fof(c_0_25_026,hypothesis,
is_bool(wT_bodies),
c_0_12 ).
fof(c_0_26_027,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
c_0_13 ).
fof(c_0_27_028,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))),
c_0_14 ).
fof(c_0_28_029,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
c_0_15 ).
fof(c_0_29_030,hypothesis,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)),
c_0_16 ).
fof(c_0_30_031,hypothesis,
! [X3,X4] : is_bool(hAPP_f1760790145l_bool(X3,X4)),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_31_032,hypothesis,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)),
c_0_18 ).
fof(c_0_32_033,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
c_0_19 ).
fof(c_0_33_034,hypothesis,
! [X2] : is_fun_pname_bool(dom_pname_com(X2)),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_34_035,hypothesis,
hBOOL(wT_bodies),
c_0_21 ).
fof(c_0_35_036,hypothesis,
hBOOL(hoare_298929751gleton),
c_0_22 ).
fof(c_0_36_037,hypothesis,
is_pname(pn),
c_0_23 ).
fof(c_0_37_038,hypothesis,
is_bool(hoare_298929751gleton),
c_0_24 ).
fof(c_0_38_039,hypothesis,
is_bool(wT_bodies),
c_0_25 ).
cnf(c_0_39_040,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40_041,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41_042,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42_043,hypothesis,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43_044,hypothesis,
is_bool(hAPP_f1760790145l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44_045,hypothesis,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45_046,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46_047,hypothesis,
is_fun_pname_bool(dom_pname_com(X1)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47_048,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48_049,hypothesis,
hBOOL(hoare_298929751gleton),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49_050,hypothesis,
is_pname(pn),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50_051,hypothesis,
is_bool(hoare_298929751gleton),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51_052,hypothesis,
is_bool(wT_bodies),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52_053,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
c_0_39,
[final] ).
cnf(c_0_53_054,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,fa),hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),hAPP_f96342628me_com(cOMBB_923936821_pname(the_com),body))),dom_pname_com(body)))),
c_0_40,
[final] ).
cnf(c_0_54_055,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
c_0_41,
[final] ).
cnf(c_0_55_056,hypothesis,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),fa)),
c_0_42,
[final] ).
cnf(c_0_56_057,hypothesis,
is_bool(hAPP_f1760790145l_bool(X1,X2)),
c_0_43,
[final] ).
cnf(c_0_57_058,hypothesis,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,fa)),
c_0_44,
[final] ).
cnf(c_0_58_059,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
c_0_45,
[final] ).
cnf(c_0_59_060,hypothesis,
is_fun_pname_bool(dom_pname_com(X1)),
c_0_46,
[final] ).
cnf(c_0_60_061,hypothesis,
hBOOL(wT_bodies),
c_0_47,
[final] ).
cnf(c_0_61_062,hypothesis,
hBOOL(hoare_298929751gleton),
c_0_48,
[final] ).
cnf(c_0_62_063,hypothesis,
is_pname(pn),
c_0_49,
[final] ).
cnf(c_0_63_064,hypothesis,
is_bool(hoare_298929751gleton),
c_0_50,
[final] ).
cnf(c_0_64_065,hypothesis,
is_bool(wT_bodies),
c_0_51,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_3332,plain,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_60) ).
cnf(c_4286,plain,
hBOOL(wT_bodies),
inference(copy,[status(esa)],[c_3332]) ).
cnf(c_4308,plain,
hBOOL(wT_bodies),
inference(copy,[status(esa)],[c_4286]) ).
cnf(c_4317,plain,
hBOOL(wT_bodies),
inference(copy,[status(esa)],[c_4308]) ).
cnf(c_4327,plain,
hBOOL(wT_bodies),
inference(copy,[status(esa)],[c_4317]) ).
cnf(c_14131,plain,
hBOOL(wT_bodies),
inference(copy,[status(esa)],[c_4327]) ).
cnf(c_2055,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_4282_3) ).
cnf(c_11591,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(copy,[status(esa)],[c_2055]) ).
cnf(c_11592,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies) ),
inference(rewriting,[status(thm)],[c_11591]) ).
cnf(c_14408,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(hoare_298929751gleton) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14131,c_11592]) ).
cnf(c_14409,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(hoare_298929751gleton) ),
inference(rewriting,[status(thm)],[c_14408]) ).
cnf(c_3333,plain,
hBOOL(hoare_298929751gleton),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_61) ).
cnf(c_4288,plain,
hBOOL(hoare_298929751gleton),
inference(copy,[status(esa)],[c_3333]) ).
cnf(c_4309,plain,
hBOOL(hoare_298929751gleton),
inference(copy,[status(esa)],[c_4288]) ).
cnf(c_4316,plain,
hBOOL(hoare_298929751gleton),
inference(copy,[status(esa)],[c_4309]) ).
cnf(c_4328,plain,
hBOOL(hoare_298929751gleton),
inference(copy,[status(esa)],[c_4316]) ).
cnf(c_14133,plain,
hBOOL(hoare_298929751gleton),
inference(copy,[status(esa)],[c_4328]) ).
cnf(c_22885,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14409,c_14133]) ).
cnf(c_22886,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X0)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X0)) ),
inference(rewriting,[status(thm)],[c_22885]) ).
cnf(c_3324,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_52) ).
cnf(c_4296,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(copy,[status(esa)],[c_3324]) ).
cnf(c_4300,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(copy,[status(esa)],[c_4296]) ).
cnf(c_4325,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(copy,[status(esa)],[c_4300]) ).
cnf(c_4329,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(copy,[status(esa)],[c_4325]) ).
cnf(c_14135,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(copy,[status(esa)],[c_4329]) ).
cnf(c_1021,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_4684_0) ).
cnf(c_9523,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X0))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X2),X1)) ),
inference(copy,[status(esa)],[c_1021]) ).
cnf(c_14155,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(resolution,[status(thm)],[c_14135,c_9523]) ).
cnf(c_14156,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(rewriting,[status(thm)],[c_14155]) ).
cnf(c_63,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_5032_0) ).
cnf(c_7766,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),bot_bo1055319631e_bool)),
inference(copy,[status(esa)],[c_63]) ).
cnf(c_14209,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(resolution,[status(thm)],[c_14156,c_7766]) ).
cnf(c_14210,plain,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(rewriting,[status(thm)],[c_14209]) ).
cnf(c_14303,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X0))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(resolution,[status(thm)],[c_14210,c_9523]) ).
cnf(c_14304,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X0))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X0),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))) ),
inference(rewriting,[status(thm)],[c_14303]) ).
cnf(c_22928,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_com_bool(wt,y)) ),
inference(resolution,[status(thm)],[c_22886,c_14304]) ).
cnf(c_22929,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_com_bool(wt,y)) ),
inference(rewriting,[status(thm)],[c_22928]) ).
cnf(c_509,plain,
( hBOOL(hAPP_com_bool(wt,X0))
| hAPP_p799580910on_com(body,X1) != some_com(X0)
| ~ hBOOL(wT_bodies) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_4988_2) ).
cnf(c_8499,plain,
( hBOOL(hAPP_com_bool(wt,X0))
| hAPP_p799580910on_com(body,X1) != some_com(X0)
| ~ hBOOL(wT_bodies) ),
inference(copy,[status(esa)],[c_509]) ).
cnf(c_8500,plain,
( hBOOL(hAPP_com_bool(wt,X0))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != some_com(X0) ),
inference(rewriting,[status(thm)],[c_8499]) ).
cnf(c_14407,plain,
( hBOOL(hAPP_com_bool(wt,X0))
| hAPP_p799580910on_com(body,X1) != some_com(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14131,c_8500]) ).
cnf(c_14410,plain,
( hBOOL(hAPP_com_bool(wt,X0))
| hAPP_p799580910on_com(body,X1) != some_com(X0) ),
inference(rewriting,[status(thm)],[c_14407]) ).
cnf(c_3330,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p',c_0_58) ).
cnf(c_4282,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(copy,[status(esa)],[c_3330]) ).
cnf(c_4306,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(copy,[status(esa)],[c_4282]) ).
cnf(c_4319,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(copy,[status(esa)],[c_4306]) ).
cnf(c_4326,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(copy,[status(esa)],[c_4319]) ).
cnf(c_14129,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(copy,[status(esa)],[c_4326]) ).
cnf(c_18553,plain,
hBOOL(hAPP_com_bool(wt,y)),
inference(resolution,[status(thm)],[c_14410,c_14129]) ).
cnf(c_18554,plain,
hBOOL(hAPP_com_bool(wt,y)),
inference(rewriting,[status(thm)],[c_18553]) ).
cnf(c_49861,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22929,c_18554,c_7766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW474+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n020.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 : Sun Jun 5 12:37:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.38/0.62 % Orienting using strategy Equiv(ClausalAll)
% 0.38/0.62 % FOF problem with conjecture
% 0.38/0.62 % 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/sandbox2/tmp/iprover_proof_869ff8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e1c134 | grep -v "SZS"
% 0.49/0.65
% 0.49/0.65 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.65
% 0.49/0.65 %
% 0.49/0.65 % ------ iProver source info
% 0.49/0.65
% 0.49/0.65 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.65 % git: non_committed_changes: true
% 0.49/0.65 % git: last_make_outside_of_git: true
% 0.49/0.65
% 0.49/0.65 %
% 0.49/0.65 % ------ Input Options
% 0.49/0.65
% 0.49/0.65 % --out_options all
% 0.49/0.65 % --tptp_safe_out true
% 0.49/0.65 % --problem_path ""
% 0.49/0.65 % --include_path ""
% 0.49/0.65 % --clausifier .//eprover
% 0.49/0.65 % --clausifier_options --tstp-format
% 0.49/0.65 % --stdin false
% 0.49/0.65 % --dbg_backtrace false
% 0.49/0.65 % --dbg_dump_prop_clauses false
% 0.49/0.65 % --dbg_dump_prop_clauses_file -
% 0.49/0.65 % --dbg_out_stat false
% 0.49/0.65
% 0.49/0.65 % ------ General Options
% 0.49/0.65
% 0.49/0.65 % --fof false
% 0.49/0.65 % --time_out_real 150.
% 0.49/0.65 % --time_out_prep_mult 0.2
% 0.49/0.65 % --time_out_virtual -1.
% 0.49/0.65 % --schedule none
% 0.49/0.65 % --ground_splitting input
% 0.49/0.65 % --splitting_nvd 16
% 0.49/0.65 % --non_eq_to_eq false
% 0.49/0.65 % --prep_gs_sim true
% 0.49/0.65 % --prep_unflatten false
% 0.49/0.65 % --prep_res_sim true
% 0.49/0.65 % --prep_upred true
% 0.49/0.65 % --res_sim_input true
% 0.49/0.65 % --clause_weak_htbl true
% 0.49/0.65 % --gc_record_bc_elim false
% 0.49/0.65 % --symbol_type_check false
% 0.49/0.65 % --clausify_out false
% 0.49/0.65 % --large_theory_mode false
% 0.49/0.65 % --prep_sem_filter none
% 0.49/0.65 % --prep_sem_filter_out false
% 0.49/0.65 % --preprocessed_out false
% 0.49/0.65 % --sub_typing false
% 0.49/0.65 % --brand_transform false
% 0.49/0.65 % --pure_diseq_elim true
% 0.49/0.65 % --min_unsat_core false
% 0.49/0.65 % --pred_elim true
% 0.49/0.65 % --add_important_lit false
% 0.49/0.65 % --soft_assumptions false
% 0.49/0.65 % --reset_solvers false
% 0.49/0.65 % --bc_imp_inh []
% 0.49/0.65 % --conj_cone_tolerance 1.5
% 0.49/0.65 % --prolific_symb_bound 500
% 0.49/0.65 % --lt_threshold 2000
% 0.49/0.65
% 0.49/0.65 % ------ SAT Options
% 0.49/0.65
% 0.49/0.65 % --sat_mode false
% 0.49/0.65 % --sat_fm_restart_options ""
% 0.49/0.65 % --sat_gr_def false
% 0.49/0.65 % --sat_epr_types true
% 0.49/0.65 % --sat_non_cyclic_types false
% 0.49/0.65 % --sat_finite_models false
% 0.49/0.65 % --sat_fm_lemmas false
% 0.49/0.65 % --sat_fm_prep false
% 0.49/0.65 % --sat_fm_uc_incr true
% 0.49/0.65 % --sat_out_model small
% 0.49/0.65 % --sat_out_clauses false
% 0.49/0.65
% 0.49/0.65 % ------ QBF Options
% 0.49/0.65
% 0.49/0.65 % --qbf_mode false
% 0.49/0.65 % --qbf_elim_univ true
% 0.49/0.65 % --qbf_sk_in true
% 0.49/0.65 % --qbf_pred_elim true
% 0.49/0.65 % --qbf_split 32
% 0.49/0.65
% 0.49/0.65 % ------ BMC1 Options
% 0.49/0.65
% 0.49/0.65 % --bmc1_incremental false
% 0.49/0.65 % --bmc1_axioms reachable_all
% 0.49/0.65 % --bmc1_min_bound 0
% 0.49/0.65 % --bmc1_max_bound -1
% 0.49/0.65 % --bmc1_max_bound_default -1
% 0.49/0.65 % --bmc1_symbol_reachability true
% 0.49/0.65 % --bmc1_property_lemmas false
% 0.49/0.65 % --bmc1_k_induction false
% 0.49/0.65 % --bmc1_non_equiv_states false
% 0.49/0.65 % --bmc1_deadlock false
% 0.49/0.65 % --bmc1_ucm false
% 0.49/0.65 % --bmc1_add_unsat_core none
% 0.49/0.65 % --bmc1_unsat_core_children false
% 0.49/0.65 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.65 % --bmc1_out_stat full
% 0.49/0.65 % --bmc1_ground_init false
% 0.49/0.65 % --bmc1_pre_inst_next_state false
% 0.49/0.65 % --bmc1_pre_inst_state false
% 0.49/0.65 % --bmc1_pre_inst_reach_state false
% 0.49/0.65 % --bmc1_out_unsat_core false
% 0.49/0.65 % --bmc1_aig_witness_out false
% 0.49/0.65 % --bmc1_verbose false
% 0.49/0.65 % --bmc1_dump_clauses_tptp false
% 0.49/0.69 % --bmc1_dump_unsat_core_tptp false
% 0.49/0.69 % --bmc1_dump_file -
% 0.49/0.69 % --bmc1_ucm_expand_uc_limit 128
% 0.49/0.69 % --bmc1_ucm_n_expand_iterations 6
% 0.49/0.69 % --bmc1_ucm_extend_mode 1
% 0.49/0.69 % --bmc1_ucm_init_mode 2
% 0.49/0.69 % --bmc1_ucm_cone_mode none
% 0.49/0.69 % --bmc1_ucm_reduced_relation_type 0
% 0.49/0.69 % --bmc1_ucm_relax_model 4
% 0.49/0.69 % --bmc1_ucm_full_tr_after_sat true
% 0.49/0.69 % --bmc1_ucm_expand_neg_assumptions false
% 0.49/0.69 % --bmc1_ucm_layered_model none
% 0.49/0.69 % --bmc1_ucm_max_lemma_size 10
% 0.49/0.69
% 0.49/0.69 % ------ AIG Options
% 0.49/0.69
% 0.49/0.69 % --aig_mode false
% 0.49/0.69
% 0.49/0.69 % ------ Instantiation Options
% 0.49/0.69
% 0.49/0.69 % --instantiation_flag true
% 0.49/0.69 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.49/0.69 % --inst_solver_per_active 750
% 0.49/0.69 % --inst_solver_calls_frac 0.5
% 0.49/0.69 % --inst_passive_queue_type priority_queues
% 0.49/0.69 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.49/0.69 % --inst_passive_queues_freq [25;2]
% 0.49/0.69 % --inst_dismatching true
% 0.49/0.69 % --inst_eager_unprocessed_to_passive true
% 0.49/0.69 % --inst_prop_sim_given true
% 0.49/0.69 % --inst_prop_sim_new false
% 0.49/0.69 % --inst_orphan_elimination true
% 0.49/0.69 % --inst_learning_loop_flag true
% 0.49/0.69 % --inst_learning_start 3000
% 0.49/0.69 % --inst_learning_factor 2
% 0.49/0.69 % --inst_start_prop_sim_after_learn 3
% 0.49/0.69 % --inst_sel_renew solver
% 0.49/0.69 % --inst_lit_activity_flag true
% 0.49/0.69 % --inst_out_proof true
% 0.49/0.69
% 0.49/0.69 % ------ Resolution Options
% 0.49/0.69
% 0.49/0.69 % --resolution_flag true
% 0.49/0.69 % --res_lit_sel kbo_max
% 0.49/0.69 % --res_to_prop_solver none
% 0.49/0.69 % --res_prop_simpl_new false
% 0.49/0.69 % --res_prop_simpl_given false
% 0.49/0.69 % --res_passive_queue_type priority_queues
% 0.49/0.69 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.49/0.69 % --res_passive_queues_freq [15;5]
% 0.49/0.69 % --res_forward_subs full
% 0.49/0.69 % --res_backward_subs full
% 0.49/0.69 % --res_forward_subs_resolution true
% 0.49/0.69 % --res_backward_subs_resolution true
% 0.49/0.69 % --res_orphan_elimination false
% 0.49/0.69 % --res_time_limit 1000.
% 0.49/0.69 % --res_out_proof true
% 0.49/0.69 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_869ff8.s
% 0.49/0.69 % --modulo true
% 0.49/0.69
% 0.49/0.69 % ------ Combination Options
% 0.49/0.69
% 0.49/0.69 % --comb_res_mult 1000
% 0.49/0.69 % --comb_inst_mult 300
% 0.49/0.69 % ------
% 0.49/0.69
% 0.49/0.69 % ------ Parsing...%
% 0.49/0.69
% 0.49/0.69
% 0.49/0.69 % ------ Statistics
% 0.49/0.69
% 0.49/0.69 % ------ General
% 0.49/0.69
% 0.49/0.69 % num_of_input_clauses: 810
% 0.49/0.69 % num_of_input_neg_conjectures: 0
% 0.49/0.69 % num_of_splits: 0
% 0.49/0.69 % num_of_split_atoms: 0
% 0.49/0.69 % num_of_sem_filtered_clauses: 0
% 0.49/0.69 % num_of_subtypes: 0
% 0.49/0.69 % monotx_restored_types: 0
% 0.49/0.69 % sat_num_of_epr_types: 0
% 0.49/0.69 % sat_num_of_non_cyclic_types: 0
% 0.49/0.69 % sat_guarded_non_collapsed_types: 0
% 0.49/0.69 % is_epr: 0
% 0.49/0.69 % is_horn: 0
% 0.49/0.69 % has_eq: 0
% 0.49/0.69 % num_pure_diseq_elim: 0
% 0.49/0.69 % simp_replaced_by: 0
% 0.49/0.69 % res_preprocessed: 0
% 0.49/0.69 % prep_upred: 0
% 0.49/0.69 % prep_unflattend: 0
% 0.49/0.69 % pred_elim_cands: 0
% 0.49/0.69 % pred_elim: 0
% 0.49/0.69 % pred_elim_cl: 0
% 0.49/0.69 % pred_elim_cycles: 0
% 0.49/0.69 % forced_gc_time: 0
% 0.49/0.69 % gc_basic_clause_elim: 0
% 0.49/0.69 % parsing_time: 0.
% 0.49/0.69 % sem_filter_time: 0.
% 0.49/0.69 % pred_elim_time: 0.
% 0.49/0.69 % out_proof_time: 0.
% 0.49/0.69 % monotx_time: 0.
% 0.49/0.69 % subtype_inf_time: 0.
% 0.49/0.69 % unif_index_cands_time: 0.
% 0.49/0.69 % Fatal error: exception Failure("Parse error in: /export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p line: 813 near token: '!='")
% 0.49/0.69 unif_index_add_time: 0.
% 0.49/0.69 % total_time: 0.063
% 0.49/0.69 % num_of_symbols: 407
% 0.49/0.69 % num_of_terms: 3228
% 0.49/0.69
% 0.49/0.69 % ------ Propositional Solver
% 0.49/0.69
% 0.49/0.69 % prop_solver_calls: 0
% 0.49/0.69 % prop_fast_solver_calls: 0
% 0.49/0.69 % prop_num_of_clauses: 0
% 0.49/0.69 % prop_preprocess_simplified: 0
% 0.49/0.69 % prop_fo_subsumed: 0
% 0.49/0.69 % prop_solver_time: 0.
% 0.49/0.69 % prop_fast_solver_time: 0.
% 0.49/0.69 % prop_unsat_core_time: 0.
% 0.49/0.69
% 0.49/0.69 % ------ QBF
% 0.49/0.69
% 0.49/0.69 % qbf_q_res: 0
% 0.49/0.69 % qbf_num_tautologies: 0
% 0.49/0.69 % qbf_prep_cycles: 0
% 0.49/0.69
% 0.49/0.69 % ------ BMC1
% 0.49/0.69
% 0.49/0.69 % bmc1_current_bound: -1
% 0.49/0.69 % bmc1_last_solved_bound: -1
% 0.49/0.69 % bmc1_unsat_core_size: -1
% 0.49/0.69 % bmc1_unsat_core_parents_size: -1
% 0.49/0.69 % bmc1_merge_next_fun: 0
% 0.49/0.69 % bmc1_unsat_core_clauses_time: 0.
% 0.49/0.69
% 0.49/0.69 % ------ Instantiation
% 0.49/0.69
% 0.49/0.69 % inst_num_of_clauses: undef
% 0.49/0.69 % inst_num_in_passive: undef
% 0.49/0.69 % inst_num_in_active: 0
% 0.49/0.69 % inst_num_in_unprocessed: 0
% 0.49/0.69 % inst_num_of_loops: 0
% 0.49/0.69 % inst_num_of_learning_restarts: 0
% 0.49/0.69 % inst_num_moves_active_passive: 0
% 0.49/0.69 % inst_lit_activity: 0
% 0.49/0.69 % inst_lit_activity_moves: 0
% 0.49/0.69 % inst_num_tautologies: 0
% 0.49/0.69 % inst_num_prop_implied: 0
% 0.49/0.69 % inst_num_existing_simplified: 0
% 0.49/0.69 % inst_num_eq_res_simplified: 0
% 0.49/0.69 % inst_num_child_elim: 0
% 0.49/0.69 % inst_num_of_dismatching_blockings: 0
% 0.49/0.69 % inst_num_of_non_proper_insts: 0
% 0.49/0.69 % inst_num_of_duplicates: 0
% 0.49/0.69 % inst_inst_num_from_inst_to_res: 0
% 0.49/0.69 % inst_dismatching_checking_time: 0.
% 0.49/0.69
% 0.49/0.69 % ------ Resolution
% 0.49/0.69
% 0.49/0.69 % res_num_of_clauses: undef
% 0.49/0.69 % res_num_in_passive: undef
% 0.49/0.69 % res_num_in_active: 0
% 0.49/0.69 % res_num_of_loops: 0
% 0.49/0.69 % res_forward_subset_subsumed: 0
% 0.49/0.69 % res_backward_subset_subsumed: 0
% 0.49/0.69 % res_forward_subsumed: 0
% 0.49/0.69 % res_backward_subsumed: 0
% 0.49/0.69 % res_forward_subsumption_resolution: 0
% 0.49/0.69 % res_backward_subsumption_resolution: 0
% 0.49/0.69 % res_clause_to_clause_subsumption: 0
% 0.49/0.69 % res_orphan_elimination: 0
% 0.49/0.69 % res_tautology_del: 0
% 0.49/0.69 % res_num_eq_res_simplified: 0
% 0.49/0.69 % res_num_sel_changes: 0
% 0.49/0.69 % res_moves_from_active_to_pass: 0
% 0.49/0.69
% 0.49/0.69 % Status Unknown
% 0.56/0.95 % Orienting using strategy ClausalAll
% 0.56/0.95 % FOF problem with conjecture
% 0.56/0.95 % 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/sandbox2/tmp/iprover_proof_869ff8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_cdea44.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_480960 | grep -v "SZS"
% 0.56/0.97
% 0.56/0.97 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.56/0.97
% 0.56/0.97 %
% 0.56/0.97 % ------ iProver source info
% 0.56/0.97
% 0.56/0.97 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.56/0.97 % git: non_committed_changes: true
% 0.56/0.97 % git: last_make_outside_of_git: true
% 0.56/0.97
% 0.56/0.97 %
% 0.56/0.97 % ------ Input Options
% 0.56/0.97
% 0.56/0.97 % --out_options all
% 0.56/0.97 % --tptp_safe_out true
% 0.56/0.97 % --problem_path ""
% 0.56/0.97 % --include_path ""
% 0.56/0.97 % --clausifier .//eprover
% 0.56/0.97 % --clausifier_options --tstp-format
% 0.56/0.97 % --stdin false
% 0.56/0.97 % --dbg_backtrace false
% 0.56/0.97 % --dbg_dump_prop_clauses false
% 0.56/0.97 % --dbg_dump_prop_clauses_file -
% 0.56/0.97 % --dbg_out_stat false
% 0.56/0.97
% 0.56/0.97 % ------ General Options
% 0.56/0.97
% 0.56/0.97 % --fof false
% 0.56/0.97 % --time_out_real 150.
% 0.56/0.97 % --time_out_prep_mult 0.2
% 0.56/0.97 % --time_out_virtual -1.
% 0.56/0.97 % --schedule none
% 0.56/0.97 % --ground_splitting input
% 0.56/0.97 % --splitting_nvd 16
% 0.56/0.97 % --non_eq_to_eq false
% 0.56/0.97 % --prep_gs_sim true
% 0.56/0.97 % --prep_unflatten false
% 0.56/0.97 % --prep_res_sim true
% 0.56/0.97 % --prep_upred true
% 0.56/0.97 % --res_sim_input true
% 0.56/0.97 % --clause_weak_htbl true
% 0.56/0.97 % --gc_record_bc_elim false
% 0.56/0.97 % --symbol_type_check false
% 0.56/0.97 % --clausify_out false
% 0.56/0.97 % --large_theory_mode false
% 0.56/0.97 % --prep_sem_filter none
% 0.56/0.97 % --prep_sem_filter_out false
% 0.56/0.97 % --preprocessed_out false
% 0.56/0.97 % --sub_typing false
% 0.56/0.97 % --brand_transform false
% 0.56/0.97 % --pure_diseq_elim true
% 0.56/0.97 % --min_unsat_core false
% 0.56/0.97 % --pred_elim true
% 0.56/0.97 % --add_important_lit false
% 0.56/0.97 % --soft_assumptions false
% 0.56/0.97 % --reset_solvers false
% 0.56/0.97 % --bc_imp_inh []
% 0.56/0.97 % --conj_cone_tolerance 1.5
% 0.56/0.97 % --prolific_symb_bound 500
% 0.56/0.97 % --lt_threshold 2000
% 0.56/0.97
% 0.56/0.97 % ------ SAT Options
% 0.56/0.97
% 0.56/0.97 % --sat_mode false
% 0.56/0.97 % --sat_fm_restart_options ""
% 0.56/0.97 % --sat_gr_def false
% 0.56/0.97 % --sat_epr_types true
% 0.56/0.97 % --sat_non_cyclic_types false
% 0.56/0.97 % --sat_finite_models false
% 0.56/0.97 % --sat_fm_lemmas false
% 0.56/0.97 % --sat_fm_prep false
% 0.56/0.97 % --sat_fm_uc_incr true
% 0.56/0.97 % --sat_out_model small
% 0.56/0.97 % --sat_out_clauses false
% 0.56/0.97
% 0.56/0.97 % ------ QBF Options
% 0.56/0.97
% 0.56/0.97 % --qbf_mode false
% 0.56/0.97 % --qbf_elim_univ true
% 0.56/0.97 % --qbf_sk_in true
% 0.56/0.97 % --qbf_pred_elim true
% 0.56/0.97 % --qbf_split 32
% 0.56/0.97
% 0.56/0.97 % ------ BMC1 Options
% 0.56/0.97
% 0.56/0.97 % --bmc1_incremental false
% 0.56/0.97 % --bmc1_axioms reachable_all
% 0.56/0.97 % --bmc1_min_bound 0
% 0.56/0.97 % --bmc1_max_bound -1
% 0.56/0.97 % --bmc1_max_bound_default -1
% 0.56/0.97 % --bmc1_symbol_reachability true
% 0.56/0.97 % --bmc1_property_lemmas false
% 0.56/0.97 % --bmc1_k_induction false
% 0.56/0.97 % --bmc1_non_equiv_states false
% 0.56/0.97 % --bmc1_deadlock false
% 0.56/0.97 % --bmc1_ucm false
% 0.56/0.97 % --bmc1_add_unsat_core none
% 0.56/0.97 % --bmc1_unsat_core_children false
% 0.56/0.97 % --bmc1_unsat_core_extrapolate_axioms false
% 0.56/0.97 % --bmc1_out_stat full
% 0.56/0.97 % --bmc1_ground_init false
% 0.56/0.97 % --bmc1_pre_inst_next_state false
% 0.56/0.97 % --bmc1_pre_inst_state false
% 0.56/0.97 % --bmc1_pre_inst_reach_state false
% 0.56/0.97 % --bmc1_out_unsat_core false
% 0.56/0.97 % --bmc1_aig_witness_out false
% 0.56/0.97 % --bmc1_verbose false
% 0.56/0.97 % --bmc1_dump_clauses_tptp false
% 6.59/6.87 % --bmc1_dump_unsat_core_tptp false
% 6.59/6.87 % --bmc1_dump_file -
% 6.59/6.87 % --bmc1_ucm_expand_uc_limit 128
% 6.59/6.87 % --bmc1_ucm_n_expand_iterations 6
% 6.59/6.87 % --bmc1_ucm_extend_mode 1
% 6.59/6.87 % --bmc1_ucm_init_mode 2
% 6.59/6.87 % --bmc1_ucm_cone_mode none
% 6.59/6.87 % --bmc1_ucm_reduced_relation_type 0
% 6.59/6.87 % --bmc1_ucm_relax_model 4
% 6.59/6.87 % --bmc1_ucm_full_tr_after_sat true
% 6.59/6.87 % --bmc1_ucm_expand_neg_assumptions false
% 6.59/6.87 % --bmc1_ucm_layered_model none
% 6.59/6.87 % --bmc1_ucm_max_lemma_size 10
% 6.59/6.87
% 6.59/6.87 % ------ AIG Options
% 6.59/6.87
% 6.59/6.87 % --aig_mode false
% 6.59/6.87
% 6.59/6.87 % ------ Instantiation Options
% 6.59/6.87
% 6.59/6.87 % --instantiation_flag true
% 6.59/6.87 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 6.59/6.87 % --inst_solver_per_active 750
% 6.59/6.87 % --inst_solver_calls_frac 0.5
% 6.59/6.87 % --inst_passive_queue_type priority_queues
% 6.59/6.87 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.59/6.87 % --inst_passive_queues_freq [25;2]
% 6.59/6.87 % --inst_dismatching true
% 6.59/6.87 % --inst_eager_unprocessed_to_passive true
% 6.59/6.87 % --inst_prop_sim_given true
% 6.59/6.87 % --inst_prop_sim_new false
% 6.59/6.87 % --inst_orphan_elimination true
% 6.59/6.87 % --inst_learning_loop_flag true
% 6.59/6.87 % --inst_learning_start 3000
% 6.59/6.87 % --inst_learning_factor 2
% 6.59/6.87 % --inst_start_prop_sim_after_learn 3
% 6.59/6.87 % --inst_sel_renew solver
% 6.59/6.87 % --inst_lit_activity_flag true
% 6.59/6.87 % --inst_out_proof true
% 6.59/6.87
% 6.59/6.87 % ------ Resolution Options
% 6.59/6.87
% 6.59/6.87 % --resolution_flag true
% 6.59/6.87 % --res_lit_sel kbo_max
% 6.59/6.87 % --res_to_prop_solver none
% 6.59/6.87 % --res_prop_simpl_new false
% 6.59/6.87 % --res_prop_simpl_given false
% 6.59/6.87 % --res_passive_queue_type priority_queues
% 6.59/6.87 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.59/6.87 % --res_passive_queues_freq [15;5]
% 6.59/6.87 % --res_forward_subs full
% 6.59/6.87 % --res_backward_subs full
% 6.59/6.87 % --res_forward_subs_resolution true
% 6.59/6.87 % --res_backward_subs_resolution true
% 6.59/6.87 % --res_orphan_elimination false
% 6.59/6.87 % --res_time_limit 1000.
% 6.59/6.87 % --res_out_proof true
% 6.59/6.87 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_869ff8.s
% 6.59/6.87 % --modulo true
% 6.59/6.87
% 6.59/6.87 % ------ Combination Options
% 6.59/6.87
% 6.59/6.87 % --comb_res_mult 1000
% 6.59/6.87 % --comb_inst_mult 300
% 6.59/6.87 % ------
% 6.59/6.87
% 6.59/6.87 % ------ Parsing...% successful
% 6.59/6.87
% 6.59/6.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 6.59/6.87
% 6.59/6.87 % ------ Proving...
% 6.59/6.87 % ------ Problem Properties
% 6.59/6.87
% 6.59/6.87 %
% 6.59/6.87 % EPR false
% 6.59/6.87 % Horn false
% 6.59/6.87 % Has equality true
% 6.59/6.87
% 6.59/6.87 % % ------ Input Options Time Limit: Unbounded
% 6.59/6.87
% 6.59/6.87
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 Compiling...
% 6.59/6.87 Loading plugin: done.
% 6.59/6.87 % % ------ Current options:
% 6.59/6.87
% 6.59/6.87 % ------ Input Options
% 6.59/6.87
% 6.59/6.87 % --out_options all
% 6.59/6.87 % --tptp_safe_out true
% 6.59/6.87 % --problem_path ""
% 6.59/6.87 % --include_path ""
% 6.59/6.87 % --clausifier .//eprover
% 6.59/6.87 % --clausifier_options --tstp-format
% 6.59/6.87 % --stdin false
% 6.59/6.87 % --dbg_backtrace false
% 6.59/6.87 % --dbg_dump_prop_clauses false
% 6.59/6.87 % --dbg_dump_prop_clauses_file -
% 6.59/6.87 % --dbg_out_stat false
% 6.59/6.87
% 6.59/6.87 % ------ General Options
% 6.59/6.87
% 6.59/6.87 % --fof false
% 6.59/6.87 % --time_out_real 150.
% 6.59/6.87 % --time_out_prep_mult 0.2
% 6.59/6.87 % --time_out_virtual -1.
% 6.59/6.87 % --schedule none
% 6.59/6.87 % --ground_splitting input
% 6.59/6.87 % --splitting_nvd 16
% 6.59/6.87 % --non_eq_to_eq false
% 6.59/6.87 % --prep_gs_sim true
% 6.59/6.87 % --prep_unflatten false
% 6.59/6.87 % --prep_res_sim true
% 6.59/6.87 % --prep_upred true
% 6.59/6.87 % --res_sim_input true
% 6.59/6.87 % --clause_weak_htbl true
% 6.59/6.87 % --gc_record_bc_elim false
% 6.59/6.87 % --symbol_type_check false
% 6.59/6.87 % --clausify_out false
% 6.59/6.87 % --large_theory_mode false
% 6.59/6.87 % --prep_sem_filter none
% 6.59/6.87 % --prep_sem_filter_out false
% 6.59/6.87 % --preprocessed_out false
% 6.59/6.87 % --sub_typing false
% 6.59/6.87 % --brand_transform false
% 6.59/6.87 % --pure_diseq_elim true
% 6.59/6.87 % --min_unsat_core false
% 6.59/6.87 % --pred_elim true
% 6.59/6.87 % --add_important_lit false
% 6.59/6.87 % --soft_assumptions false
% 6.59/6.87 % --reset_solvers false
% 6.59/6.87 % --bc_imp_inh []
% 6.59/6.87 % --conj_cone_tolerance 1.5
% 6.59/6.87 % --prolific_symb_bound 500
% 6.59/6.87 % --lt_threshold 2000
% 6.59/6.87
% 6.59/6.87 % ------ SAT Options
% 6.59/6.87
% 6.59/6.87 % --sat_mode false
% 6.59/6.87 % --sat_fm_restart_options ""
% 6.59/6.87 % --sat_gr_def false
% 6.59/6.87 % --sat_epr_types true
% 6.59/6.87 % --sat_non_cyclic_types false
% 6.59/6.87 % --sat_finite_models false
% 6.59/6.87 % --sat_fm_lemmas false
% 6.59/6.87 % --sat_fm_prep false
% 6.59/6.87 % --sat_fm_uc_incr true
% 6.59/6.87 % --sat_out_model small
% 6.59/6.87 % --sat_out_clauses false
% 6.59/6.87
% 6.59/6.87 % ------ QBF Options
% 6.59/6.87
% 6.59/6.87 % --qbf_mode false
% 6.59/6.87 % --qbf_elim_univ true
% 6.59/6.87 % --qbf_sk_in true
% 6.59/6.87 % --qbf_pred_elim true
% 6.59/6.87 % --qbf_split 32
% 6.59/6.87
% 6.59/6.87 % ------ BMC1 Options
% 6.59/6.87
% 6.59/6.87 % --bmc1_incremental false
% 6.59/6.87 % --bmc1_axioms reachable_all
% 6.59/6.87 % --bmc1_min_bound 0
% 6.59/6.87 % --bmc1_max_bound -1
% 6.59/6.87 % --bmc1_max_bound_default -1
% 6.59/6.87 % --bmc1_symbol_reachability true
% 6.59/6.87 % --bmc1_property_lemmas false
% 6.59/6.87 % --bmc1_k_induction false
% 6.59/6.87 % --bmc1_non_equiv_states false
% 6.59/6.87 % --bmc1_deadlock false
% 6.59/6.87 % --bmc1_ucm false
% 6.59/6.87 % --bmc1_add_unsat_core none
% 6.59/6.87 % --bmc1_unsat_core_children false
% 6.59/6.87 % --bmc1_unsat_core_extrapolate_axioms false
% 6.59/6.87 % --bmc1_out_stat full
% 6.59/6.87 % --bmc1_ground_init false
% 6.59/6.87 % --bmc1_pre_inst_next_state false
% 6.59/6.87 % --bmc1_pre_inst_state false
% 6.59/6.87 % --bmc1_pre_inst_reach_state false
% 6.59/6.87 % --bmc1_out_unsat_core false
% 6.59/6.87 % --bmc1_aig_witness_out false
% 6.59/6.87 % --bmc1_verbose false
% 6.59/6.87 % --bmc1_dump_clauses_tptp false
% 6.59/6.87 % --bmc1_dump_unsat_core_tptp false
% 6.59/6.87 % --bmc1_dump_file -
% 6.59/6.87 % --bmc1_ucm_expand_uc_limit 128
% 6.59/6.87 % --bmc1_ucm_n_expand_iterations 6
% 6.59/6.87 % --bmc1_ucm_extend_mode 1
% 6.59/6.87 % --bmc1_ucm_init_mode 2
% 6.59/6.87 % --bmc1_ucm_cone_mode none
% 6.59/6.87 % --bmc1_ucm_reduced_relation_type 0
% 6.59/6.87 % --bmc1_ucm_relax_model 4
% 6.59/6.87 % --bmc1_ucm_full_tr_after_sat true
% 6.59/6.87 % --bmc1_ucm_expand_neg_assumptions false
% 6.59/6.87 % --bmc1_ucm_layered_model none
% 6.59/6.87 % --bmc1_ucm_max_lemma_size 10
% 6.59/6.87
% 6.59/6.87 % ------ AIG Options
% 6.59/6.87
% 6.59/6.87 % --aig_mode false
% 6.59/6.87
% 6.59/6.87 % ------ Instantiation Options
% 8.04/8.27
% 8.04/8.27 % --instantiation_flag true
% 8.04/8.27 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 8.04/8.27 % --inst_solver_per_active 750
% 8.04/8.27 % --inst_solver_calls_frac 0.5
% 8.04/8.27 % --inst_passive_queue_type priority_queues
% 8.04/8.27 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.04/8.27 % --inst_passive_queues_freq [25;2]
% 8.04/8.27 % --inst_dismatching true
% 8.04/8.27 % --inst_eager_unprocessed_to_passive true
% 8.04/8.27 % --inst_prop_sim_given true
% 8.04/8.27 % --inst_prop_sim_new false
% 8.04/8.27 % --inst_orphan_elimination true
% 8.04/8.27 % --inst_learning_loop_flag true
% 8.04/8.27 % --inst_learning_start 3000
% 8.04/8.27 % --inst_learning_factor 2
% 8.04/8.27 % --inst_start_prop_sim_after_learn 3
% 8.04/8.27 % --inst_sel_renew solver
% 8.04/8.27 % --inst_lit_activity_flag true
% 8.04/8.27 % --inst_out_proof true
% 8.04/8.27
% 8.04/8.27 % ------ Resolution Options
% 8.04/8.27
% 8.04/8.27 % --resolution_flag true
% 8.04/8.27 % --res_lit_sel kbo_max
% 8.04/8.27 % --res_to_prop_solver none
% 8.04/8.27 % --res_prop_simpl_new false
% 8.04/8.27 % --res_prop_simpl_given false
% 8.04/8.27 % --res_passive_queue_type priority_queues
% 8.04/8.27 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.04/8.27 % --res_passive_queues_freq [15;5]
% 8.04/8.27 % --res_forward_subs full
% 8.04/8.27 % --res_backward_subs full
% 8.04/8.27 % --res_forward_subs_resolution true
% 8.04/8.27 % --res_backward_subs_resolution true
% 8.04/8.27 % --res_orphan_elimination false
% 8.04/8.27 % --res_time_limit 1000.
% 8.04/8.27 % --res_out_proof true
% 8.04/8.27 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_869ff8.s
% 8.04/8.27 % --modulo true
% 8.04/8.27
% 8.04/8.27 % ------ Combination Options
% 8.04/8.27
% 8.04/8.27 % --comb_res_mult 1000
% 8.04/8.27 % --comb_inst_mult 300
% 8.04/8.27 % ------
% 8.04/8.27
% 8.04/8.27
% 8.04/8.27
% 8.04/8.27 % ------ Proving...
% 8.04/8.27 %
% 8.04/8.27
% 8.04/8.27
% 8.04/8.27 % Resolution empty clause
% 8.04/8.27
% 8.04/8.27 % ------ Statistics
% 8.04/8.27
% 8.04/8.27 % ------ General
% 8.04/8.27
% 8.04/8.27 % num_of_input_clauses: 3337
% 8.04/8.27 % num_of_input_neg_conjectures: 1
% 8.04/8.27 % num_of_splits: 0
% 8.04/8.27 % num_of_split_atoms: 0
% 8.04/8.27 % num_of_sem_filtered_clauses: 0
% 8.04/8.27 % num_of_subtypes: 0
% 8.04/8.27 % monotx_restored_types: 0
% 8.04/8.27 % sat_num_of_epr_types: 0
% 8.04/8.27 % sat_num_of_non_cyclic_types: 0
% 8.04/8.27 % sat_guarded_non_collapsed_types: 0
% 8.04/8.27 % is_epr: 0
% 8.04/8.27 % is_horn: 0
% 8.04/8.27 % has_eq: 1
% 8.04/8.27 % num_pure_diseq_elim: 0
% 8.04/8.27 % simp_replaced_by: 0
% 8.04/8.27 % res_preprocessed: 14
% 8.04/8.27 % prep_upred: 0
% 8.04/8.27 % prep_unflattend: 0
% 8.04/8.27 % pred_elim_cands: 3
% 8.04/8.27 % pred_elim: 3
% 8.04/8.27 % pred_elim_cl: 5
% 8.04/8.27 % pred_elim_cycles: 4
% 8.04/8.27 % forced_gc_time: 0
% 8.04/8.27 % gc_basic_clause_elim: 0
% 8.04/8.27 % parsing_time: 0.13
% 8.04/8.27 % sem_filter_time: 0.
% 8.04/8.27 % pred_elim_time: 0.
% 8.04/8.27 % out_proof_time: 0.
% 8.04/8.27 % monotx_time: 0.
% 8.04/8.27 % subtype_inf_time: 0.
% 8.04/8.27 % unif_index_cands_time: 0.006
% 8.04/8.27 % unif_index_add_time: 0.006
% 8.04/8.27 % total_time: 7.309
% 8.04/8.27 % num_of_symbols: 559
% 8.04/8.27 % num_of_terms: 50910
% 8.04/8.27
% 8.04/8.27 % ------ Propositional Solver
% 8.04/8.27
% 8.04/8.27 % prop_solver_calls: 2
% 8.04/8.27 % prop_fast_solver_calls: 27
% 8.04/8.27 % prop_num_of_clauses: 2965
% 8.04/8.27 % prop_preprocess_simplified: 17404
% 8.04/8.27 % prop_fo_subsumed: 0
% 8.04/8.27 % prop_solver_time: 0.
% 8.04/8.27 % prop_fast_solver_time: 0.
% 8.04/8.27 % prop_unsat_core_time: 0.
% 8.04/8.27
% 8.04/8.27 % ------ QBF
% 8.04/8.27
% 8.04/8.27 % qbf_q_res: 0
% 8.04/8.27 % qbf_num_tautologies: 0
% 8.04/8.27 % qbf_prep_cycles: 0
% 8.04/8.27
% 8.04/8.27 % ------ BMC1
% 8.04/8.27
% 8.04/8.27 % bmc1_current_bound: -1
% 8.04/8.27 % bmc1_last_solved_bound: -1
% 8.04/8.27 % bmc1_unsat_core_size: -1
% 8.04/8.27 % bmc1_unsat_core_parents_size: -1
% 8.04/8.27 % bmc1_merge_next_fun: 0
% 8.04/8.27 % bmc1_unsat_core_clauses_time: 0.
% 8.04/8.27
% 8.04/8.27 % ------ Instantiation
% 8.04/8.27
% 8.04/8.27 % inst_num_of_clauses: 3148
% 8.04/8.27 % inst_num_in_passive: 2631
% 8.04/8.27 % inst_num_in_active: 299
% 8.04/8.27 % inst_num_in_unprocessed: 218
% 8.04/8.27 % inst_num_of_loops: 300
% 8.04/8.27 % inst_num_of_learning_restarts: 0
% 8.04/8.27 % inst_num_moves_active_passive: 0
% 8.04/8.27 % inst_lit_activity: 22
% 8.04/8.27 % inst_lit_activity_moves: 0
% 8.04/8.27 % inst_num_tautologies: 0
% 8.04/8.27 % inst_num_prop_implied: 0
% 8.04/8.27 % inst_num_existing_simplified: 0
% 8.04/8.27 % inst_num_eq_res_simplified: 0
% 8.04/8.27 % inst_num_child_elim: 0
% 8.04/8.27 % inst_num_of_dismatching_blockings: 222
% 8.04/8.27 % inst_num_of_non_proper_insts: 504
% 8.04/8.27 % inst_num_of_duplicates: 342
% 8.04/8.27 % inst_inst_num_from_inst_to_res: 0
% 8.04/8.27 % inst_dismatching_checking_time: 0.
% 8.04/8.27
% 8.04/8.27 % ------ Resolution
% 8.04/8.27
% 8.04/8.27 % res_num_of_clauses: 14456
% 8.04/8.27 % res_num_in_passive: 10229
% 8.04/8.27 % res_num_in_active: 1911
% 8.04/8.27 % res_num_of_loops: 1078
% 8.04/8.27 % res_forward_subset_subsumed: 6165
% 8.04/8.27 % res_backward_subset_subsumed: 14
% 8.04/8.27 % res_forward_subsumed: 228
% 8.04/8.27 % res_backward_subsumed: 1
% 8.04/8.27 % res_forward_subsumption_resolution: 12
% 8.04/8.27 % res_backward_subsumption_resolution: 8
% 8.04/8.27 % res_clause_to_clause_subsumption: 4250
% 8.04/8.27 % res_orphan_elimination: 0
% 8.04/8.27 % res_tautology_del: 161
% 8.04/8.27 % res_num_eq_res_simplified: 2
% 8.04/8.27 % res_num_sel_changes: 0
% 8.04/8.27 % res_moves_from_active_to_pass: 0
% 8.04/8.27
% 8.04/8.27 % Status Unsatisfiable
% 8.04/8.27 % SZS status Theorem
% 8.04/8.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------