%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW474+1 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:38 PM UTC 2026
% Result : Theorem 0.85s 1.68s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_454)
% Comments :
%------------------------------------------------------------------------------
fof(fact_187_insert__compr,axiom,
! [X12,X19] : insert1415133716_state(X12,X19) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_insert__compr) ).
fof(fact_255_Collect__def,axiom,
! [X14] : collec307967673_state(X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Collect__def) ).
fof(fact_292_finite__subset__induct,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,insert1325755072e_bool(X31,X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_finite__subset__induct) ).
fof(fact_290_finite__subset__induct,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,insert_pname(X31,X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_finite__subset__induct) ).
fof(fact_293_finite__subset__induct,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X11),X9))
=> ( hBOOL(hAPP_f166538662l_bool(X14,bot_bo535777328l_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X32))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X32))
=> ( hBOOL(hAPP_f166538662l_bool(X14,X32))
=> hBOOL(hAPP_f166538662l_bool(X14,insert1556680138e_bool(X31,X32))) ) ) ) )
=> hBOOL(hAPP_f166538662l_bool(X14,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_finite__subset__induct) ).
fof(fact_189_insert__compr,axiom,
! [X12,X19] : insert1556680138e_bool(X12,X19) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_insert__compr) ).
fof(fact_257_Collect__def,axiom,
! [X14] : collec1823980261e_bool(X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_Collect__def) ).
fof(fact_291_finite__subset__induct,axiom,
! [X14,X9,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X11),X9))
=> ( hBOOL(hAPP_f971112728l_bool(X14,bot_bo620288102e_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X32))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X9))
=> ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X32))
=> ( hBOOL(hAPP_f971112728l_bool(X14,X32))
=> hBOOL(hAPP_f971112728l_bool(X14,insert1415133716_state(X31,X32))) ) ) ) )
=> hBOOL(hAPP_f971112728l_bool(X14,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_finite__subset__induct) ).
fof(fact_260_subset__insert,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),insert_pname(X16,X19)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_subset__insert) ).
fof(fact_109_insertCI,axiom,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_insertCI) ).
fof(fact_111_insertCI,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),insert_pname(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_insertCI) ).
fof(fact_261_subset__insert,axiom,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,X19)))
<=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_subset__insert) ).
fof(fact_172_insert__ident,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))
=> ( insert_pname(X16,X9) = insert_pname(X16,X19)
<=> X9 = X19 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_insert__ident) ).
fof(fact_110_insertCI,axiom,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_insertCI) ).
fof(fact_108_insertCI,axiom,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_insertCI) ).
fof(fact_173_insert__ident,axiom,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
=> ( insert1415133716_state(X16,X9) = insert1415133716_state(X16,X19)
<=> X9 = X19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_insert__ident) ).
fof(fact_273_Collect__conv__if,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = bot_bo1649642514l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_Collect__conv__if) ).
fof(fact_271_Collect__conv__if,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = bot_bo844097828e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_Collect__conv__if) ).
fof(fact_277_Collect__conv__if2,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = bot_bo1649642514l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_Collect__conv__if2) ).
fof(fact_275_Collect__conv__if2,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = bot_bo844097828e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_275_Collect__conv__if2) ).
fof(fact_274_Collect__conv__if,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
& ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = bot_bo535777328l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_Collect__conv__if) ).
fof(fact_272_Collect__conv__if,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = bot_bo620288102e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_Collect__conv__if) ).
fof(fact_278_Collect__conv__if2,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
& ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = bot_bo535777328l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_278_Collect__conv__if2) ).
fof(fact_276_Collect__conv__if2,axiom,
! [X14,X12] :
( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = bot_bo620288102e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_Collect__conv__if2) ).
fof(fact_151_empty__Collect__eq,axiom,
! [X14] :
( bot_bo535777328l_bool = collec1823980261e_bool(X14)
<=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_empty__Collect__eq) ).
fof(fact_153_empty__Collect__eq,axiom,
! [X14] :
( bot_bo620288102e_bool = collec307967673_state(X14)
<=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_empty__Collect__eq) ).
fof(fact_141_Collect__empty__eq,axiom,
! [X14] :
( collec1823980261e_bool(X14) = bot_bo535777328l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_Collect__empty__eq) ).
fof(fact_143_Collect__empty__eq,axiom,
! [X14] :
( collec307967673_state(X14) = bot_bo620288102e_bool
<=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_Collect__empty__eq) ).
fof(fact_7_MGT__BodyN,axiom,
! [X8,X3] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),X3)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X8))),bot_bo620288102e_bool)))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X8)),bot_bo620288102e_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_MGT__BodyN) ).
fof(fact_188_insert__compr,axiom,
! [X12,X19] : insert1325755072e_bool(X12,X19) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_insert__compr) ).
fof(fact_186_insert__compr,axiom,
! [X12,X19] : insert_pname(X12,X19) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_insert__compr) ).
fof(fact_225_doubleton__eq__iff,axiom,
! [X12,X20,X15,X25] :
( ( is_pname(X12)
& is_pname(X20)
& is_pname(X15)
& is_pname(X25) )
=> ( insert_pname(X12,insert_pname(X20,bot_bo844097828e_bool)) = insert_pname(X15,insert_pname(X25,bot_bo844097828e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_doubleton__eq__iff) ).
fof(fact_287_MGF__lemma1,axiom,
! [X15,X3] :
( hBOOL(hoare_165779456gleton)
=> ( ! [X21] :
( is_pname(X21)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),dom_pname_com(body)))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X21)),bot_bo620288102e_bool))) ) )
=> ( hBOOL(wt(X15))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_287_MGF__lemma1) ).
fof(fact_178_insert__commute,axiom,
! [X16,X18,X9] : insert_pname(X16,insert_pname(X18,X9)) = insert_pname(X18,insert_pname(X16,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_insert__commute) ).
fof(fact_262_insert__subset,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_insert__subset) ).
fof(fact_250_insert__mono,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,insert_pname(X12,X22)),insert_pname(X12,X26))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_insert__mono) ).
fof(fact_180_insert__absorb2,axiom,
! [X16,X9] : insert_pname(X16,insert_pname(X16,X9)) = insert_pname(X16,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_insert__absorb2) ).
fof(fact_226_doubleton__eq__iff,axiom,
! [X12,X20,X15,X25] :
( insert1415133716_state(X12,insert1415133716_state(X20,bot_bo620288102e_bool)) = insert1415133716_state(X15,insert1415133716_state(X25,bot_bo620288102e_bool))
<=> ( ( X12 = X15
& X20 = X25 )
| ( X12 = X25
& X20 = X15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_doubleton__eq__iff) ).
fof(fact_100_subset__singletonD,axiom,
! [X9,X16] :
( is_fun1661590463l_bool(X9)
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),insert1325755072e_bool(X16,bot_bo1649642514l_bool)))
=> ( X9 = bot_bo1649642514l_bool
| X9 = insert1325755072e_bool(X16,bot_bo1649642514l_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_subset__singletonD) ).
fof(fact_102_subset__singletonD,axiom,
! [X9,X16] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),insert_pname(X16,bot_bo844097828e_bool)))
=> ( X9 = bot_bo844097828e_bool
| X9 = insert_pname(X16,bot_bo844097828e_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_subset__singletonD) ).
fof(fact_113_insertE,axiom,
! [X12,X20,X9] :
( ( is_fun_pname_bool(X12)
& is_fun_pname_bool(X20) )
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_insertE) ).
fof(fact_176_insert__iff,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_insert__iff) ).
fof(fact_115_insertE,axiom,
! [X12,X20,X9] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X20,X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_insertE) ).
fof(fact_263_insert__subset,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X16,X9)),X19))
<=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
& hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_insert__subset) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(fact_251_insert__mono,axiom,
! [X12,X22,X26] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X22),X26))
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X12,X22)),insert1415133716_state(X12,X26))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_insert__mono) ).
fof(fact_227_singleton__iff,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
<=> X20 = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_singleton__iff) ).
fof(fact_223_singletonE,axiom,
! [X20,X12] :
( ( is_pname(X20)
& is_pname(X12) )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),insert_pname(X12,bot_bo844097828e_bool)))
=> X20 = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_singletonE) ).
fof(fact_174_insert__code,axiom,
! [X18,X9,X16] :
( ( is_pname(X18)
& is_pname(X16) )
=> ( hBOOL(hAPP_pname_bool(insert_pname(X18,X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_pname_bool(X9,X16)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_insert__code) ).
fof(fact_235_finite__insert,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9)))
<=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_finite__insert) ).
fof(fact_233_finite__insert,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9)))
<=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_finite__insert) ).
fof(fact_5_hoare__derivs_Oinsert,axiom,
! [X4,X3,X7] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_hoare__derivs_Oinsert) ).
fof(fact_6_derivs__insertD,axiom,
! [X3,X7,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,X4)))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),insert1415133716_state(X7,bot_bo620288102e_bool)))
& hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_derivs__insertD) ).
fof(fact_179_insert__commute,axiom,
! [X16,X18,X9] : insert1415133716_state(X16,insert1415133716_state(X18,X9)) = insert1415133716_state(X18,insert1415133716_state(X16,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_insert__commute) ).
fof(fact_258_subset__insertI2,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),insert_pname(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_subset__insertI2) ).
fof(fact_170_insertI2,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),insert_pname(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_insertI2) ).
fof(fact_264_subset__insertI,axiom,
! [X19,X12] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),insert_pname(X12,X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_subset__insertI) ).
fof(fact_190_insertI1,axiom,
! [X12,X19] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),insert_pname(X12,X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_insertI1) ).
fof(fact_42_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_finite_OinsertI) ).
fof(fact_38_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_finite_OinsertI) ).
fof(fact_101_subset__singletonD,axiom,
! [X9,X16] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),insert1556680138e_bool(X16,bot_bo535777328l_bool)))
=> ( X9 = bot_bo535777328l_bool
| X9 = insert1556680138e_bool(X16,bot_bo535777328l_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_subset__singletonD) ).
fof(fact_99_subset__singletonD,axiom,
! [X9,X16] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,bot_bo620288102e_bool)))
=> ( X9 = bot_bo620288102e_bool
| X9 = insert1415133716_state(X16,bot_bo620288102e_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_subset__singletonD) ).
fof(fact_114_insertE,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_insertE) ).
fof(fact_177_insert__iff,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
<=> ( X12 = X20
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_insert__iff) ).
fof(fact_112_insertE,axiom,
! [X12,X20,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X9)))
=> ( X12 != X20
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_insertE) ).
fof(fact_103_MGF,axiom,
! [X15] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X15))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
fof(fact_228_singleton__iff,axiom,
! [X20,X12] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
<=> X20 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_singleton__iff) ).
fof(fact_224_singletonE,axiom,
! [X20,X12] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),insert1415133716_state(X12,bot_bo620288102e_bool)))
=> X20 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_singletonE) ).
fof(fact_175_insert__code,axiom,
! [X18,X9,X16] :
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X18,X9),X16))
<=> ( X18 = X16
| hBOOL(hAPP_H78829294e_bool(X9,X16)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_insert__code) ).
fof(fact_236_finite__insert,axiom,
! [X12,X9] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9)))
<=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_finite__insert) ).
fof(fact_234_finite__insert,axiom,
! [X12,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9)))
<=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_finite__insert) ).
fof(fact_221_singleton__inject,axiom,
! [X12,X20] :
( ( is_pname(X12)
& is_pname(X20) )
=> ( insert_pname(X12,bot_bo844097828e_bool) = insert_pname(X20,bot_bo844097828e_bool)
=> X12 = X20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_singleton__inject) ).
fof(fact_267_image__insert,axiom,
! [X17,X12,X19] : image_2003357581_state(X17,insert_pname(X12,X19)) = insert1415133716_state(hAPP_p1422361149_state(X17,X12),image_2003357581_state(X17,X19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_image__insert) ).
fof(fact_181_insert__absorb2,axiom,
! [X16,X9] : insert1415133716_state(X16,insert1415133716_state(X16,X9)) = insert1415133716_state(X16,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_insert__absorb2) ).
fof(fact_171_insertI2,axiom,
! [X20,X12,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_insertI2) ).
fof(fact_259_subset__insertI2,axiom,
! [X20,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X20,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_259_subset__insertI2) ).
fof(fact_184_insert__Collect,axiom,
! [X12,X14] : insert1325755072e_bool(X12,collec1974731493e_bool(X14)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12))),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_184_insert__Collect) ).
fof(fact_182_insert__Collect,axiom,
! [X12,X14] : insert_pname(X12,collect_pname(X14)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12))),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_insert__Collect) ).
fof(fact_289_imageE,axiom,
! [X20,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9)))
=> ~ ! [X21] :
( is_pname(X21)
=> ( X20 = hAPP_p1422361149_state(X17,X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_imageE) ).
fof(fact_191_insertI1,axiom,
! [X12,X19] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X12,X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_insertI1) ).
fof(fact_265_subset__insertI,axiom,
! [X19,X12] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),insert1415133716_state(X12,X19))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_subset__insertI) ).
fof(fact_41_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_finite_OinsertI) ).
fof(fact_37_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_finite_OinsertI) ).
fof(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
! [X1,X2] :
( ( is_fun_pname_bool(X1)
& is_fun1661590463l_bool(X2) )
=> is_fun1661590463l_bool(insert1325755072e_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(gsy_c_Set_Oinsert_000tc__Com__Opname,axiom,
! [X1,X2] :
( ( is_pname(X1)
& is_fun_pname_bool(X2) )
=> is_fun_pname_bool(insert_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oinsert_000tc__Com__Opname) ).
fof(fact_266_insert__image,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> insert1415133716_state(hAPP_p1422361149_state(X17,X16),image_2003357581_state(X17,X9)) = image_2003357581_state(X17,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_insert__image) ).
fof(fact_229_insert__not__empty,axiom,
! [X12,X9] : insert_pname(X12,X9) != bot_bo844097828e_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_insert__not__empty) ).
fof(fact_231_empty__not__insert,axiom,
! [X12,X9] : bot_bo844097828e_bool != insert_pname(X12,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_empty__not__insert) ).
fof(fact_222_singleton__inject,axiom,
! [X12,X20] :
( insert1415133716_state(X12,bot_bo620288102e_bool) = insert1415133716_state(X20,bot_bo620288102e_bool)
=> X12 = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_singleton__inject) ).
fof(fact_76_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
=> image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_image__constant) ).
fof(fact_75_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_image__constant) ).
fof(fact_68_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_image__constant) ).
fof(fact_67_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_image__constant) ).
fof(fact_70_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_image__constant) ).
fof(fact_72_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_image__constant) ).
fof(fact_168_insert__absorb,axiom,
! [X12,X9] :
( is_fun_pname_bool(X9)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9))
=> insert_pname(X12,X9) = X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_insert__absorb) ).
fof(fact_185_insert__Collect,axiom,
! [X12,X14] : insert1556680138e_bool(X12,collec1823980261e_bool(X14)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12))),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_insert__Collect) ).
fof(fact_183_insert__Collect,axiom,
! [X12,X14] : insert1415133716_state(X12,collec307967673_state(X14)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12))),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_insert__Collect) ).
fof(fact_78_insert__dom,axiom,
! [X17,X16,X18] :
( hAPP_f2138803836on_com(X17,X16) = some_com(X18)
=> insert1325755072e_bool(X16,dom_fu2081503504ol_com(X17)) = dom_fu2081503504ol_com(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_insert__dom) ).
fof(fact_77_insert__dom,axiom,
! [X17,X16,X18] :
( hAPP_p799580910on_com(X17,X16) = some_com(X18)
=> insert_pname(X16,dom_pname_com(X17)) = dom_pname_com(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_insert__dom) ).
fof(fact_281_singleton__conv,axiom,
! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_singleton__conv) ).
fof(fact_279_singleton__conv,axiom,
! [X12] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)) = insert_pname(X12,bot_bo844097828e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_singleton__conv) ).
fof(fact_216_finite__Collect__disjI,axiom,
! [X14,X13] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X14),X13))))
<=> ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
& hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_finite__Collect__disjI) ).
fof(fact_214_finite__Collect__disjI,axiom,
! [X14,X13] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X14),X13))))
<=> ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
& hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_finite__Collect__disjI) ).
fof(fact_64_image__constant__conv,axiom,
! [X15,X9] :
( is_fun1661590463l_bool(X9)
=> ( ( X9 = bot_bo1649642514l_bool
=> image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo1649642514l_bool
=> image_1283814551_pname(cOMBK_948730864e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_image__constant__conv) ).
fof(fact_59_image__constant__conv,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = bot_bo1649642514l_bool )
& ( X9 != bot_bo844097828e_bool
=> image_47868345e_bool(cOMBK_37193422_pname(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_image__constant__conv) ).
fof(fact_61_image__constant__conv,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> image_pname_pname(cOMBK_pname_pname(X15),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo844097828e_bool
=> image_pname_pname(cOMBK_pname_pname(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_image__constant__conv) ).
fof(fact_285_singleton__conv2,axiom,
! [X12] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X12)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_singleton__conv2) ).
fof(fact_283_singleton__conv2,axiom,
! [X12] : collect_pname(hAPP_p61793385e_bool(fequal_pname,X12)) = insert_pname(X12,bot_bo844097828e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_singleton__conv2) ).
fof(fact_65_image__constant__conv,axiom,
! [X15,X9] :
( ( X9 = bot_bo535777328l_bool
=> image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo535777328l_bool
=> image_187965177_pname(cOMBK_1589414042e_bool(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_image__constant__conv) ).
fof(fact_57_image__constant__conv,axiom,
! [X15,X9] :
( ( X9 = bot_bo620288102e_bool
=> image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = bot_bo1649642514l_bool )
& ( X9 != bot_bo620288102e_bool
=> image_2131964411e_bool(cOMBK_2035509764_state(X15),X9) = insert1325755072e_bool(X15,bot_bo1649642514l_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_image__constant__conv) ).
fof(fact_56_image__constant__conv,axiom,
! [X15,X9] :
( ( X9 = bot_bo620288102e_bool
=> image_54689091_pname(cOMBK_168215364_state(X15),X9) = bot_bo844097828e_bool )
& ( X9 != bot_bo620288102e_bool
=> image_54689091_pname(cOMBK_168215364_state(X15),X9) = insert_pname(X15,bot_bo844097828e_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_image__constant__conv) ).
fof(fact_69_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_image__constant) ).
fof(fact_71_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_image__constant) ).
fof(fact_73_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_image__constant) ).
fof(fact_74_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
=> image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_image__constant) ).
fof(fact_66_image__constant,axiom,
! [X15,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_image__constant) ).
fof(fact_169_insert__absorb,axiom,
! [X12,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9))
=> insert1415133716_state(X12,X9) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_insert__absorb) ).
fof(fact_53_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X14)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X13))) )
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_finite__Collect__conjI) ).
fof(fact_50_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X14)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X13))) )
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_finite__Collect__conjI) ).
fof(fact_230_insert__not__empty,axiom,
! [X12,X9] : insert1415133716_state(X12,X9) != bot_bo620288102e_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_insert__not__empty) ).
fof(fact_232_empty__not__insert,axiom,
! [X12,X9] : bot_bo620288102e_bool != insert1415133716_state(X12,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_empty__not__insert) ).
fof(fact_79_insert__dom,axiom,
! [X17,X16,X18] :
( hAPP_f2134636538on_com(X17,X16) = some_com(X18)
=> insert1556680138e_bool(X16,dom_fu1342267980ol_com(X17)) = dom_fu1342267980ol_com(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_insert__dom) ).
fof(fact_62_image__constant__conv,axiom,
! [X15,X9] :
( is_fun1661590463l_bool(X9)
=> ( ( X9 = bot_bo1649642514l_bool
=> image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = bot_bo620288102e_bool )
& ( X9 != bot_bo1649642514l_bool
=> image_516545147_state(cOMBK_1503445380e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_image__constant__conv) ).
fof(fact_60_image__constant__conv,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = bot_bo535777328l_bool )
& ( X9 != bot_bo844097828e_bool
=> image_70449425e_bool(cOMBK_1706929794_pname(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_image__constant__conv) ).
fof(fact_55_image__constant__conv,axiom,
! [X15,X9] :
( is_fun_pname_bool(X9)
=> ( ( X9 = bot_bo844097828e_bool
=> image_2003357581_state(cOMBK_367030522_pname(X15),X9) = bot_bo620288102e_bool )
& ( X9 != bot_bo844097828e_bool
=> image_2003357581_state(cOMBK_367030522_pname(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_image__constant__conv) ).
fof(fact_63_image__constant__conv,axiom,
! [X15,X9] :
( ( X9 = bot_bo535777328l_bool
=> image_18964633_state(cOMBK_701929478e_bool(X15),X9) = bot_bo620288102e_bool )
& ( X9 != bot_bo535777328l_bool
=> image_18964633_state(cOMBK_701929478e_bool(X15),X9) = insert1415133716_state(X15,bot_bo620288102e_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_image__constant__conv) ).
fof(fact_58_image__constant__conv,axiom,
! [X15,X9] :
( ( X9 = bot_bo620288102e_bool
=> image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = bot_bo535777328l_bool )
& ( X9 != bot_bo620288102e_bool
=> image_1828608335e_bool(cOMBK_1039769424_state(X15),X9) = insert1556680138e_bool(X15,bot_bo535777328l_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_image__constant__conv) ).
fof(fact_280_singleton__conv,axiom,
! [X12] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_singleton__conv) ).
fof(fact_282_singleton__conv,axiom,
! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_singleton__conv) ).
fof(fact_284_singleton__conv2,axiom,
! [X12] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X12)) = insert1415133716_state(X12,bot_bo620288102e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).
fof(fact_286_singleton__conv2,axiom,
! [X12] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X12)) = insert1556680138e_bool(X12,bot_bo535777328l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_singleton__conv2) ).
fof(fact_159_all__not__in__conv,axiom,
! [X9] :
( is_fun1661590463l_bool(X9)
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
<=> X9 = bot_bo1649642514l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_all__not__in__conv) ).
fof(fact_162_all__not__in__conv,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_all__not__in__conv) ).
fof(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
! [X39,X40] :
( ( is_pname(X39)
& is_pname(X40) )
=> ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40))
| X39 = X40 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Com__Opname_T) ).
fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
! [X39,X40] :
( ( is_fun_pname_bool(X39)
& is_fun_pname_bool(X40) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40))
| X39 = X40 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).
fof(fact_9_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_finite__Collect__subsets) ).
fof(help_fimplies_3_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38))
| ~ hBOOL(X33)
| hBOOL(X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(help_fdisj_3_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38))
| hBOOL(X33)
| hBOOL(X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_3_1_U) ).
fof(help_fconj_2_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
| hBOOL(X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_2_1_U) ).
fof(help_fconj_3_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
| hBOOL(X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_3_1_U) ).
fof(fact_160_all__not__in__conv,axiom,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
<=> X9 = bot_bo535777328l_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_160_all__not__in__conv) ).
fof(fact_136_equals0D,axiom,
! [X12,X9] :
( X9 = bot_bo535777328l_bool
=> ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_equals0D) ).
fof(fact_161_all__not__in__conv,axiom,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
<=> X9 = bot_bo620288102e_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_all__not__in__conv) ).
fof(fact_137_equals0D,axiom,
! [X12,X9] :
( X9 = bot_bo620288102e_bool
=> ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_equals0D) ).
fof(fact_135_equals0D,axiom,
! [X12,X9] :
( X9 = bot_bo1649642514l_bool
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_equals0D) ).
fof(fact_138_equals0D,axiom,
! [X12,X9] :
( X9 = bot_bo844097828e_bool
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_equals0D) ).
fof(help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple,axiom,
! [X39,X40] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40))
| X39 = X40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
fof(help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com,axiom,
! [X39,X40] :
( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40))
| X39 = X40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).
fof(fact_146_empty__iff,axiom,
! [X15] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_empty__iff) ).
fof(fact_106_emptyE,axiom,
! [X12] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_106_emptyE) ).
fof(fact_145_empty__iff,axiom,
! [X15] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_empty__iff) ).
fof(fact_105_emptyE,axiom,
! [X12] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_emptyE) ).
fof(fact_147_empty__iff,axiom,
! [X15] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_empty__iff) ).
fof(fact_104_emptyE,axiom,
! [X12] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_emptyE) ).
fof(fact_148_empty__iff,axiom,
! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_empty__iff) ).
fof(fact_107_emptyE,axiom,
! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_emptyE) ).
fof(help_fconj_1_1_U,axiom,
! [X38,X33] :
( ~ hBOOL(X33)
| ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fconj_1_1_U) ).
fof(help_fdisj_1_1_U,axiom,
! [X38,X33] :
( ~ hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_1_1_U) ).
fof(help_fdisj_2_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fdisj_2_1_U) ).
fof(help_fimplies_2_1_U,axiom,
! [X33,X38] :
( ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(fact_193_equalityE,axiom,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_equalityE) ).
fof(fact_192_equalityE,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_equalityE) ).
fof(fact_139_Collect__empty__eq,axiom,
! [X14] :
( collec1613912337l_bool(X14) = bot_bo1537088220l_bool
<=> ! [X21] :
( is_fun1661590463l_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_Collect__empty__eq) ).
fof(fact_142_Collect__empty__eq,axiom,
! [X14] :
( collec1974731493e_bool(X14) = bot_bo1649642514l_bool
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_Collect__empty__eq) ).
fof(fact_144_Collect__empty__eq,axiom,
! [X14] :
( collect_pname(X14) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_Collect__empty__eq) ).
fof(fact_149_empty__Collect__eq,axiom,
! [X14] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X14)
<=> ! [X21] :
( is_fun1661590463l_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_empty__Collect__eq) ).
fof(fact_152_empty__Collect__eq,axiom,
! [X14] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X14)
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_empty__Collect__eq) ).
fof(fact_154_empty__Collect__eq,axiom,
! [X14] :
( bot_bo844097828e_bool = collect_pname(X14)
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_empty__Collect__eq) ).
fof(fact_140_Collect__empty__eq,axiom,
! [X14] :
( collec488126193l_bool(X14) = bot_bo1761158942l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_Collect__empty__eq) ).
fof(fact_150_empty__Collect__eq,axiom,
! [X14] :
( bot_bo1761158942l_bool = collec488126193l_bool(X14)
<=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_empty__Collect__eq) ).
fof(help_fNot_1_1_U,axiom,
! [X33] :
( ~ hBOOL(hAPP_bool_bool(fNot,X33))
| ~ hBOOL(X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U) ).
fof(fact_297_finite__subset__image,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_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 = image_2003357581_state(X17,X35) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_finite__subset__image) ).
fof(fact_269_subset__image__iff,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
<=> ? [X27] :
( is_fun_pname_bool(X27)
& hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X27),X9))
& X19 = image_2003357581_state(X17,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_subset__image__iff) ).
fof(fact_212_image__iff,axiom,
! [X23,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X23),image_2003357581_state(X17,X9)))
<=> ? [X21] :
( is_pname(X21)
& hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9))
& X23 = hAPP_p1422361149_state(X17,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_image__iff) ).
fof(fact_215_finite__Collect__disjI,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X14),X13))))
<=> ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
& hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_finite__Collect__disjI) ).
fof(fact_213_finite__Collect__disjI,axiom,
! [X14,X13] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X14),X13))))
<=> ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
& hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_finite__Collect__disjI) ).
fof(fact_52_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X14)))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X13))) )
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_finite__Collect__conjI) ).
fof(fact_51_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X14)))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X13))) )
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_finite__Collect__conjI) ).
fof(fact_54_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X14)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X13))) )
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_finite__Collect__conjI) ).
fof(fact_49_finite__Collect__conjI,axiom,
! [X13,X14] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X14)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X13))) )
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X14),X13)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_finite__Collect__conjI) ).
fof(fact_296_subsetI,axiom,
! [X19,X9] :
( ! [X21] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X19)) )
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_subsetI) ).
fof(fact_295_subsetI,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_subsetI) ).
fof(fact_211_imageI,axiom,
! [X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X17,X16)),image_2003357581_state(X17,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_imageI) ).
fof(fact_268_image__mono,axiom,
! [X17,X9,X19] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19))
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X17,X9)),image_2003357581_state(X17,X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_image__mono) ).
fof(fact_122_subsetD,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X9))
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_subsetD) ).
fof(fact_121_subsetD,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X9))
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_subsetD) ).
fof(fact_199_set__rev__mp,axiom,
! [X19,X16,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_set__rev__mp) ).
fof(fact_201_in__mono,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_in__mono) ).
fof(fact_197_set__mp,axiom,
! [X16,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_set__mp) ).
fof(fact_120_subsetD,axiom,
! [X15,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_subsetD) ).
fof(fact_195_subset__trans,axiom,
! [X22,X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X22))
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_subset__trans) ).
fof(fact_194_subset__trans,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_subset__trans) ).
fof(fact_198_set__rev__mp,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_set__rev__mp) ).
fof(fact_200_in__mono,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_in__mono) ).
fof(fact_196_set__mp,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_set__mp) ).
fof(fact_123_subsetD,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_subsetD) ).
fof(fact_95_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_1761575943l_bool(X17,X9)))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_finite__surj) ).
fof(fact_90_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X19),image_288317893l_bool(X17,X9)))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_finite__surj) ).
fof(fact_94_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1210605179l_bool(X17,X9)))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_finite__surj) ).
fof(fact_89_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X19),image_1642285373l_bool(X17,X9)))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_finite__surj) ).
fof(fact_97_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_1828608335e_bool(X17,X9)))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_finite__surj) ).
fof(fact_92_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),image_70449425e_bool(X17,X9)))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_finite__surj) ).
fof(fact_98_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_2131964411e_bool(X17,X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_finite__surj) ).
fof(fact_93_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),image_47868345e_bool(X17,X9)))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_finite__surj) ).
fof(fact_86_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_892968839_state(X17,X9)))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_finite__surj) ).
fof(fact_85_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_677922117_state(X17,X9)))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_finite__surj) ).
fof(fact_87_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_18964633_state(X17,X9)))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_finite__surj) ).
fof(fact_88_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_516545147_state(X17,X9)))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_finite__surj) ).
fof(fact_80_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),image_2003357581_state(X17,X9)))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_finite__surj) ).
fof(fact_82_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1619336331_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_finite__surj) ).
fof(fact_81_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1705983821_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_finite__surj) ).
fof(fact_83_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_187965177_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_finite__surj) ).
fof(fact_84_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_1283814551_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_finite__surj) ).
fof(fact_96_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_54689091_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_finite__surj) ).
fof(fact_91_finite__surj,axiom,
! [X19,X17,X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),image_pname_pname(X17,X9)))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_finite__surj) ).
fof(fact_125_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_H1049623551e_bool(X17,X16)
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_1828608335e_bool(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_image__eqI) ).
fof(fact_127_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_p442853985e_bool(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X20),image_70449425e_bool(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_image__eqI) ).
fof(fact_124_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_H356885323e_bool(X17,X16)
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_2131964411e_bool(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_image__eqI) ).
fof(fact_126_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_p61793385e_bool(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X20),image_47868345e_bool(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_image__eqI) ).
fof(fact_128_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_f888949707_state(X17,X16)
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_516545147_state(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_image__eqI) ).
fof(fact_129_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_f1387463497_state(X17,X16)
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_18964633_state(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_image__eqI) ).
fof(fact_134_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_p1422361149_state(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_image__eqI) ).
fof(fact_210_rev__image__eqI,axiom,
! [X20,X17,X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> ( X20 = hAPP_p1422361149_state(X17,X16)
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_rev__image__eqI) ).
fof(fact_133_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_f560369737_pname(X17,X16)
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_187965177_pname(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_image__eqI) ).
fof(fact_132_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_f1297739591_pname(X17,X16)
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_1283814551_pname(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_image__eqI) ).
fof(fact_130_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_H1621176307_pname(X17,X16)
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_54689091_pname(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_image__eqI) ).
fof(fact_131_image__eqI,axiom,
! [X9,X20,X17,X16] :
( X20 = hAPP_pname_pname(X17,X16)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X20),image_pname_pname(X17,X9))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_image__eqI) ).
fof(fact_117_equalityI,axiom,
! [X9,X19] :
( ( is_fun1661590463l_bool(X9)
& is_fun1661590463l_bool(X19) )
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X9),X19))
=> ( hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X9))
=> X9 = X19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_equalityI) ).
fof(fact_206_set__eq__subset,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_set__eq__subset) ).
fof(fact_119_equalityI,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_equalityI) ).
fof(fact_118_equalityI,axiom,
! [X9,X19] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X19),X9))
=> X9 = X19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_equalityI) ).
fof(fact_207_set__eq__subset,axiom,
! [X9,X19] :
( X9 = X19
<=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
& hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_set__eq__subset) ).
fof(fact_116_equalityI,axiom,
! [X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9))
=> X9 = X19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_equalityI) ).
fof(conj_3,hypothesis,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(fact_2_weaken,axiom,
! [X4,X3,X5] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X5))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X5))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_weaken) ).
fof(fact_3_thin,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X6),X3))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_thin) ).
fof(fact_11_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
=> hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_finite__Collect__subsets) ).
fof(fact_10_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
=> hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_finite__Collect__subsets) ).
fof(fact_12_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_finite__Collect__subsets) ).
fof(fact_13_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X9))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_finite__Collect__subsets) ).
fof(fact_8_finite__Collect__subsets,axiom,
! [X9] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X9))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X9)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_finite__Collect__subsets) ).
fof(fact_243_finite__subset,axiom,
! [X9,X19] :
( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
=> ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_finite__subset) ).
fof(fact_247_rev__finite__subset,axiom,
! [X9,X19] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X19))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X9),X19))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_rev__finite__subset) ).
fof(fact_242_finite__subset,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_242_finite__subset) ).
fof(fact_246_rev__finite__subset,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_rev__finite__subset) ).
fof(fact_245_finite__subset,axiom,
! [X9,X19] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_245_finite__subset) ).
fof(fact_249_rev__finite__subset,axiom,
! [X9,X19] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X19))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_rev__finite__subset) ).
fof(fact_244_finite__subset,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_finite__subset) ).
fof(fact_248_rev__finite__subset,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_rev__finite__subset) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_1_asm,axiom,
! [X4,X3] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X4),X3))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_asm) ).
fof(fact_253_mem__def,axiom,
! [X16,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
<=> hBOOL(hAPP_H78829294e_bool(X9,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_mem__def) ).
fof(fact_252_mem__def,axiom,
! [X16,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X16),X9))
<=> hBOOL(hAPP_pname_bool(X9,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_mem__def) ).
fof(fact_155_ex__in__conv,axiom,
! [X9] :
( is_fun1661590463l_bool(X9)
=> ( ? [X21] :
( is_fun_pname_bool(X21)
& hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
<=> X9 != bot_bo1649642514l_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_ex__in__conv) ).
fof(fact_158_ex__in__conv,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_ex__in__conv) ).
fof(fact_237_subset__empty,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_subset__empty) ).
fof(fact_40_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X9))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_finite_OinsertI) ).
fof(fact_28_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_finite__imageI) ).
fof(fact_24_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_finite__imageI) ).
fof(fact_39_finite_OinsertI,axiom,
! [X12,X9] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X9))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X12,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_finite_OinsertI) ).
fof(fact_27_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_finite__imageI) ).
fof(fact_23_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_finite__imageI) ).
fof(fact_29_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_finite__imageI) ).
fof(fact_25_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_finite__imageI) ).
fof(fact_30_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_finite__imageI) ).
fof(fact_26_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_finite__imageI) ).
fof(fact_22_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_finite__imageI) ).
fof(fact_21_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_finite__imageI) ).
fof(fact_20_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_finite__imageI) ).
fof(fact_19_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_finite__imageI) ).
fof(fact_14_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_finite__imageI) ).
fof(fact_16_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_finite__imageI) ).
fof(fact_15_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_finite__imageI) ).
fof(fact_17_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_finite__imageI) ).
fof(fact_18_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_finite__imageI) ).
fof(fact_31_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_finite__imageI) ).
fof(fact_32_finite__imageI,axiom,
! [X10,X11] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X11))
=> hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X10,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_finite__imageI) ).
fof(fact_156_ex__in__conv,axiom,
! [X9] :
( ? [X21] : hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
<=> X9 != bot_bo535777328l_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_ex__in__conv) ).
fof(fact_157_ex__in__conv,axiom,
! [X9] :
( ? [X21] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
<=> X9 != bot_bo620288102e_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_ex__in__conv) ).
fof(fact_270_domI,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_domI) ).
fof(fact_238_subset__empty,axiom,
! [X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),bot_bo620288102e_bool))
<=> X9 = bot_bo620288102e_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_subset__empty) ).
fof(fact_294_WTs__elim__cases_I7_J,axiom,
! [X33] :
( hBOOL(wt(hAPP_pname_com(body_1,X33)))
=> ~ ! [X34] : hAPP_p799580910on_com(body,X33) != some_com(X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_WTs__elim__cases_I7_J) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__,axiom,
! [X33,X38,X41] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f2143399574l_bool(X33,X41),hAPP_f166538662l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
! [X33,X38,X41] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f32027384l_bool(X33,X41),hAPP_f1935102916l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f637090980l_bool(X33,X41),hAPP_f971112728l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O,axiom,
! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_f1476298914l_bool(X33,X41),hAPP_f1664156314l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O) ).
fof(help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_H1187982158l_bool(X33,X41),hAPP_H78829294e_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).
fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
! [X33,X38,X41] : hAPP_pname_bool(cOMBS_568398431l_bool(X33,X38),X41) = hAPP_bool_bool(hAPP_p393069232l_bool(X33,X41),hAPP_pname_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfe,axiom,
! [X33,X38,X41] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X33),X38),X41) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfe) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
! [X33,X38,X41] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X33),X38),X41) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__,axiom,
! [X33,X38,X41] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
! [X33,X38,X41] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016,axiom,
! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X33),X38),X41) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
! [X33,X38,X41] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_010,axiom,
! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X33),X38),X41) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_010) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It,axiom,
! [X33,X38,X41] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It) ).
fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014,axiom,
! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X33),X38),X41) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014) ).
fof(help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
! [X33,X38,X41] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X33),X38),X41) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).
fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
! [X33,X38,X41] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X33),X38),X41) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).
fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U,axiom,
! [X33,X38,X41] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X33),X38),X41) = hAPP_pname_bool(hAPP_p61793385e_bool(X33,X41),X38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U) ).
fof(help_fimplies_1_1_U,axiom,
! [X38,X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_015,axiom,
! [X33,X38,X41] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f166538662l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_015) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011,axiom,
! [X33,X38,X41] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f971112728l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009,axiom,
! [X33,X38,X41] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1935102916l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008,axiom,
! [X33,X38,X41] : hAPP_H1187982158l_bool(cOMBB_962198420_state(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_H78829294e_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006,axiom,
! [X33,X38,X41] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [X33,X38,X41] : hAPP_p393069232l_bool(cOMBB_675860798_pname(X33,X38),X41) = hAPP_b589554111l_bool(X33,hAPP_pname_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo) ).
fof(help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O,axiom,
! [X33,X38,X41] : hAPP_p1422361149_state(cOMBB_699532858_pname(X33,X38),X41) = hAPP_c1126217667_state(X33,hAPP_pname_com(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O) ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00,axiom,
! [X33,X38,X41] : hAPP_pname_com(cOMBB_923936821_pname(X33,X38),X41) = hAPP_option_com_com(X33,hAPP_p799580910on_com(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__,axiom,
! [X33,X38,X41] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f971112728l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op,axiom,
! [X33,X38,X41] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_f1664156314l_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,axiom,
! [X33,X38,X41] : hAPP_H78829294e_bool(cOMBB_2144135922_state(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_H78829294e_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
! [X33,X38,X41] : hAPP_pname_bool(cOMBB_647938656_pname(X33,X38),X41) = hAPP_bool_bool(X33,hAPP_pname_bool(X38,X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U) ).
fof(help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple,axiom,
! [X39,X40] :
( X39 != X40
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple) ).
fof(fact_205_equalityD1,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_equalityD1) ).
fof(fact_203_equalityD2,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_equalityD2) ).
fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T,axiom,
! [X39,X40] :
( X39 != X40
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T) ).
fof(fact_204_equalityD1,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_equalityD1) ).
fof(fact_202_equalityD2,axiom,
! [X9,X19] :
( X9 = X19
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_equalityD2) ).
fof(help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com,axiom,
! [X39,X40] :
( X39 != X40
| hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com) ).
fof(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
! [X39,X40] :
( X39 != X40
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_000tc__Com__Opname_T) ).
fof(fact_209_subset__refl,axiom,
! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_subset__refl) ).
fof(fact_208_subset__refl,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_subset__refl) ).
fof(fact_35_empty__subsetI,axiom,
! [X9] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_empty__subsetI) ).
fof(fact_34_empty__subsetI,axiom,
! [X9] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_empty__subsetI) ).
fof(fact_33_empty__subsetI,axiom,
! [X9] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_empty__subsetI) ).
fof(fact_36_empty__subsetI,axiom,
! [X9] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_empty__subsetI) ).
fof(fact_299_com_Osimps_I6_J,axiom,
! [X36,X37] :
( ( is_pname(X36)
& is_pname(X37) )
=> ( hAPP_pname_com(body_1,X36) = hAPP_pname_com(body_1,X37)
<=> X36 = X37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_com_Osimps_I6_J) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
! [X1,X2] :
( ( is_fun1661590463l_bool(X1)
& is_fun_pname_bool(X2) )
=> is_bool(hAPP_f1664156314l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool,axiom,
! [X1,X2] :
( ( is_fun_pname_bool(X1)
& is_pname(X2) )
=> is_bool(hAPP_pname_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool) ).
fof(fact_288_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(wt(X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_pname(hAPP_f1297739591_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname) ).
fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_pname(hAPP_pname_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_bool(hAPP_f1935102916l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_bool(X2)
=> is_bool(hAPP_bool_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc) ).
fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).
fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun1661590463l_bool(image_47868345e_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_) ).
fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t) ).
fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op) ).
fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
! [X1,X2] :
( is_pname(X2)
=> is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam,axiom,
! [X1,X2] :
( is_fun1661590463l_bool(X2)
=> is_fun_pname_bool(image_1283814551_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam) ).
fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(image_pname_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname) ).
fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname,axiom,
! [X1,X2] :
( is_fun_pname_bool(X2)
=> is_fun_pname_bool(cOMBB_647938656_pname(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname) ).
fof(help_fNot_2_1_U,axiom,
! [X33] :
( hBOOL(X33)
| hBOOL(hAPP_bool_bool(fNot,X33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
fof(fact_239_image__is__empty,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( image_2003357581_state(X17,X9) = bot_bo620288102e_bool
<=> X9 = bot_bo844097828e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_image__is__empty) ).
fof(fact_241_empty__is__image,axiom,
! [X17,X9] :
( is_fun_pname_bool(X9)
=> ( bot_bo620288102e_bool = image_2003357581_state(X17,X9)
<=> X9 = bot_bo844097828e_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_empty__is__image) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O,axiom,
! [X1,X2] : is_pname(hAPP_f560369737_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O) ).
fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0,axiom,
! [X1,X2] : is_pname(hAPP_H1621176307_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh,axiom,
! [X1,X2] : is_bool(hAPP_f1022807134l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo,axiom,
! [X1,X2] : is_bool(hAPP_f595608956l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O,axiom,
! [X1,X2] : is_bool(hAPP_f468958928l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__,axiom,
! [X1,X2] : is_bool(hAPP_f389811538l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It,axiom,
! [X1,X2] : is_bool(hAPP_f166538662l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004,hypothesis,
! [X1,X2] : is_bool(hAPP_f971112728l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004) ).
fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002,axiom,
! [X1,X2] : is_bool(hAPP_H78829294e_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002) ).
fof(gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001,axiom,
! [X1,X2] : is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001) ).
fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003,axiom,
! [X1,X2] : is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003) ).
fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri,axiom,
! [X1,X2] : is_fun_pname_bool(image_1619336331_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri) ).
fof(gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL,axiom,
! [X1,X2] : is_fun_pname_bool(image_1705983821_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL) ).
fof(gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__,axiom,
! [X1,X2] : is_fun_pname_bool(image_187965177_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__) ).
fof(gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta,axiom,
! [X1,X2] : is_fun_pname_bool(image_54689091_pname(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel,axiom,
! [X33,X38] :
( is_bool(X33)
=> hAPP_f166538662l_bool(cOMBK_482404831l_bool(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe,axiom,
! [X33,X38] :
( is_bool(X33)
=> hAPP_f971112728l_bool(cOMBK_129401207e_bool(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe) ).
fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____jf,axiom,
! [X33,X38] :
( is_pname(X33)
=> hAPP_f560369737_pname(cOMBK_1589414042e_bool(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____jf) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo,axiom,
! [X33,X38] :
( is_bool(X33)
=> hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo) ).
fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob,axiom,
! [X33,X38] :
( is_pname(X33)
=> hAPP_f1297739591_pname(cOMBK_948730864e_bool(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_,axiom,
! [X33,X38] :
( is_fun_pname_bool(X33)
=> hAPP_H356885323e_bool(cOMBK_2035509764_state(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__,axiom,
! [X33,X38] :
( is_bool(X33)
=> hAPP_H78829294e_bool(cOMBK_659609255_state(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__) ).
fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____jfehddehev_,axiom,
! [X33,X38] :
( is_pname(X33)
=> hAPP_H1621176307_pname(cOMBK_168215364_state(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____jfehddehev_) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O,axiom,
! [X33,X38] :
( is_fun_pname_bool(X33)
=> hAPP_p61793385e_bool(cOMBK_37193422_pname(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U,axiom,
! [X33,X38] :
( is_bool(X33)
=> hAPP_pname_bool(cOMBK_bool_pname(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U) ).
fof(help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U,axiom,
! [X33,X38] :
( is_pname(X33)
=> hAPP_pname_pname(cOMBK_pname_pname(X33),X38) = X33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U) ).
fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__,axiom,
! [X33,X38] : hAPP_p1422361149_state(cOMBK_367030522_pname(X33),X38) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__) ).
fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012,axiom,
! [X33,X38] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X33),X38) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012) ).
fof(help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007,axiom,
! [X33,X38] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X33),X38) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I,axiom,
! [X33,X38] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X33),X38) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013,axiom,
! [X33,X38] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X33),X38) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013) ).
fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
! [X1] :
( is_fun1661590463l_bool(X1)
=> is_fun1661590463l_bool(collec1974731493e_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
! [X1] :
( is_bool(X1)
=> is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(gsy_c_Set_OCollect_000tc__Com__Opname,axiom,
! [X1] :
( is_fun_pname_bool(X1)
=> is_fun_pname_bool(collect_pname(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Set_OCollect_000tc__Com__Opname) ).
fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname,axiom,
! [X1] :
( is_bool(X1)
=> is_fun_pname_bool(cOMBK_bool_pname(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname) ).
fof(fact_240_image__empty,axiom,
! [X17] : image_2003357581_state(X17,bot_bo844097828e_bool) = bot_bo620288102e_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_image__empty) ).
fof(fact_256_Collect__def,axiom,
! [X14] :
( is_fun1661590463l_bool(X14)
=> collec1974731493e_bool(X14) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_Collect__def) ).
fof(fact_254_Collect__def,axiom,
! [X14] :
( is_fun_pname_bool(X14)
=> collect_pname(X14) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_Collect__def) ).
fof(gsy_c_Com_OWT,axiom,
! [X1] : is_bool(wt(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Com_OWT) ).
fof(gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom,axiom,
! [X1] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom) ).
fof(gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom,hypothesis,
! [X1] : is_fun_pname_bool(dom_pname_com(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom) ).
fof(help_fFalse_1_1_T,axiom,
! [X33] :
( is_bool(X33)
=> ( X33 = fTrue
| X33 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(fact_164_empty__def,axiom,
bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_empty__def) ).
fof(fact_166_empty__def,axiom,
bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_empty__def) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(conj_6,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_,axiom,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_) ).
fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(fact_298_finite__dom__body,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_finite__dom__body) ).
fof(fact_46_finite_OemptyI,axiom,
hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_finite_OemptyI) ).
fof(fact_45_finite_OemptyI,axiom,
hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_finite_OemptyI) ).
fof(fact_47_finite_OemptyI,axiom,
hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_finite_OemptyI) ).
fof(fact_48_finite_OemptyI,axiom,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_finite_OemptyI) ).
fof(conj_2,hypothesis,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(fact_44_finite_OemptyI,axiom,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_finite_OemptyI) ).
fof(fact_43_finite_OemptyI,axiom,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_finite_OemptyI) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(gsy_c_HOL_Oundefined_000tc__Com__Opname,axiom,
is_pname(undefined_pname(pname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Com__Opname) ).
fof(fact_163_empty__def,axiom,
bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_empty__def) ).
fof(fact_165_empty__def,axiom,
bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_empty__def) ).
fof(fact_167_empty__def,axiom,
bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_empty__def) ).
fof(conj_0,hypothesis,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(gsy_v_pn,hypothesis,
is_pname(pn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_pn) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton,hypothesis,
is_bool(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton) ).
fof(gsy_c_Com_OWT__bodies,hypothesis,
is_bool(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Com_OWT__bodies) ).
fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__,axiom,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__) ).
fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname,axiom,
is_fun1661590463l_bool(finite_finite_pname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ofinite_000tc__Com__Opname) ).
fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J,axiom,
is_fun_pname_bool(bot_bo844097828e_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J) ).
fof(i_0_424,plain,
! [X1476,X1477] : insert1415133716_state(X1476,X1477) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1476)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1477))),
inference(variable_rename,[status(thm)],[fact_187_insert__compr]) ).
fof(i_0_425,plain,
! [X1629] : collec307967673_state(X1629) = X1629,
inference(variable_rename,[status(thm)],[fact_255_Collect__def]) ).
fof(i_0_426,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,insert1325755072e_bool(X31,X32))) ) ) ) ) )
=> hBOOL(hAPP_f1935102916l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_292_finite__subset__induct]) ).
fof(i_0_427,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,insert_pname(X31,X32))) ) ) ) ) )
=> hBOOL(hAPP_f1664156314l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_290_finite__subset__induct]) ).
fof(i_0_428,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X11))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X11),X9))
=> ( hBOOL(hAPP_f166538662l_bool(X14,bot_bo535777328l_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X32))
=> ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X9))
=> ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X31),X32))
=> ( hBOOL(hAPP_f166538662l_bool(X14,X32))
=> hBOOL(hAPP_f166538662l_bool(X14,insert1556680138e_bool(X31,X32))) ) ) ) )
=> hBOOL(hAPP_f166538662l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_293_finite__subset__induct]) ).
fof(i_0_429,plain,
! [X1480,X1481] : insert1556680138e_bool(X1480,X1481) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1480)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1481))),
inference(variable_rename,[status(thm)],[fact_189_insert__compr]) ).
fof(i_0_430,plain,
! [X1631] : collec1823980261e_bool(X1631) = X1631,
inference(variable_rename,[status(thm)],[fact_257_Collect__def]) ).
fof(i_0_431,plain,
! [X14,X9,X11] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X11))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X11),X9))
=> ( hBOOL(hAPP_f971112728l_bool(X14,bot_bo620288102e_bool))
=> ( ! [X31,X32] :
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X32))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X9))
=> ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X31),X32))
=> ( hBOOL(hAPP_f971112728l_bool(X14,X32))
=> hBOOL(hAPP_f971112728l_bool(X14,insert1415133716_state(X31,X32))) ) ) ) )
=> hBOOL(hAPP_f971112728l_bool(X14,X11)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_291_finite__subset__induct]) ).
fof(i_0_432,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),insert_pname(X16,X19)))
<=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X19)) ) ),
inference(fof_simplification,[status(thm)],[fact_260_subset__insert]) ).
fof(i_0_433,plain,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),insert1325755072e_bool(X20,X19))) ),
inference(fof_simplification,[status(thm)],[fact_109_insertCI]) ).
fof(i_0_434,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),insert_pname(X20,X19))) ),
inference(fof_simplification,[status(thm)],[fact_111_insertCI]) ).
fof(i_0_435,plain,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),insert1415133716_state(X16,X19)))
<=> hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19)) ) ),
inference(fof_simplification,[status(thm)],[fact_261_subset__insert]) ).
fof(i_0_436,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))
=> ( insert_pname(X16,X9) = insert_pname(X16,X19)
<=> X9 = X19 ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_172_insert__ident]) ).
fof(i_0_437,plain,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),insert1556680138e_bool(X20,X19))) ),
inference(fof_simplification,[status(thm)],[fact_110_insertCI]) ).
fof(i_0_438,plain,
! [X20,X12,X19] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X19))
=> X12 = X20 )
=> hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),insert1415133716_state(X20,X19))) ),
inference(fof_simplification,[status(thm)],[fact_108_insertCI]) ).
fof(i_0_439,plain,
! [X19,X16,X9] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X9))
=> ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X16),X19))
=> ( insert1415133716_state(X16,X9) = insert1415133716_state(X16,X19)
<=> X9 = X19 ) ) ),
inference(fof_simplification,[status(thm)],[fact_173_insert__ident]) ).
fof(i_0_440,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X12)),X14)) = bot_bo1649642514l_bool ) ),
inference(fof_simplification,[status(thm)],[fact_273_Collect__conv__if]) ).
fof(i_0_441,plain,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X12)),X14)) = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[fact_271_Collect__conv__if]) ).
fof(i_0_442,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = insert1325755072e_bool(X12,bot_bo1649642514l_bool) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X14,X12))
=> collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X12)),X14)) = bot_bo1649642514l_bool ) ),
inference(fof_simplification,[status(thm)],[fact_277_Collect__conv__if2]) ).
fof(i_0_443,plain,
! [X14,X12] :
( ( hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = insert_pname(X12,bot_bo844097828e_bool) )
& ( ~ hBOOL(hAPP_pname_bool(X14,X12))
=> collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X12)),X14)) = bot_bo844097828e_bool ) ),
inference(fof_simplification,[status(thm)],[fact_275_Collect__conv__if2]) ).
fof(i_0_444,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
& ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X12)),X14)) = bot_bo535777328l_bool ) ),
inference(fof_simplification,[status(thm)],[fact_274_Collect__conv__if]) ).
fof(i_0_445,plain,
! [X14,X12] :
( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X12)),X14)) = bot_bo620288102e_bool ) ),
inference(fof_simplification,[status(thm)],[fact_272_Collect__conv__if]) ).
fof(i_0_446,plain,
! [X14,X12] :
( ( hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = insert1556680138e_bool(X12,bot_bo535777328l_bool) )
& ( ~ hBOOL(hAPP_f971112728l_bool(X14,X12))
=> collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X12)),X14)) = bot_bo535777328l_bool ) ),
inference(fof_simplification,[status(thm)],[fact_278_Collect__conv__if2]) ).
fof(i_0_447,plain,
! [X14,X12] :
( ( hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = insert1415133716_state(X12,bot_bo620288102e_bool) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X14,X12))
=> collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X12)),X14)) = bot_bo620288102e_bool ) ),
inference(fof_simplification,[status(thm)],[fact_276_Collect__conv__if2]) ).
fof(i_0_448,plain,
! [X14] :
( bot_bo535777328l_bool = collec1823980261e_bool(X14)
<=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_151_empty__Collect__eq]) ).
fof(i_0_449,plain,
! [X14] :
( bot_bo620288102e_bool = collec307967673_state(X14)
<=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_153_empty__Collect__eq]) ).
fof(i_0_450,plain,
! [X14] :
( collec1823980261e_bool(X14) = bot_bo535777328l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_141_Collect__empty__eq]) ).
fof(i_0_451,plain,
! [X14] :
( collec307967673_state(X14) = bot_bo620288102e_bool
<=> ! [X21] : ~ hBOOL(hAPP_H78829294e_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_143_Collect__empty__eq]) ).
fof(i_0_452,plain,
! [X1044,X1045] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1044)),X1045)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1044))),bot_bo620288102e_bool)))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1045),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1044)),bot_bo620288102e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_MGT__BodyN])]) ).
cnf(i_0_453,plain,
insert1415133716_state(X1,X2) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))),
inference(split_conjunct,[status(thm)],[i_0_424]) ).
cnf(i_0_454,plain,
collec307967673_state(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_425]) ).
fof(i_0_455,plain,
! [X1717,X1718,X1719] :
( ( is_fun_pname_bool(esk29_3(X1717,X1718,X1719))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( is_fun1661590463l_bool(esk30_3(X1717,X1718,X1719))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X1717,X1718,X1719)))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X1717,X1718,X1719)),X1718))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X1717,X1718,X1719)),esk30_3(X1717,X1718,X1719)))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( hBOOL(hAPP_f1935102916l_bool(X1717,esk30_3(X1717,X1718,X1719)))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(X1717,insert1325755072e_bool(esk29_3(X1717,X1718,X1719),esk30_3(X1717,X1718,X1719))))
| hBOOL(hAPP_f1935102916l_bool(X1717,X1719))
| ~ hBOOL(hAPP_f1935102916l_bool(X1717,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1719),X1718))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1719)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_426])])])]) ).
fof(i_0_456,plain,
! [X1478,X1479] : insert1325755072e_bool(X1478,X1479) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1478)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1479))),
inference(variable_rename,[status(thm)],[fact_188_insert__compr]) ).
fof(i_0_457,plain,
! [X1707,X1708,X1709] :
( ( is_pname(esk25_3(X1707,X1708,X1709))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( is_fun_pname_bool(esk26_3(X1707,X1708,X1709))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk26_3(X1707,X1708,X1709)))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X1707,X1708,X1709)),X1708))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X1707,X1708,X1709)),esk26_3(X1707,X1708,X1709)))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( hBOOL(hAPP_f1664156314l_bool(X1707,esk26_3(X1707,X1708,X1709)))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(X1707,insert_pname(esk25_3(X1707,X1708,X1709),esk26_3(X1707,X1708,X1709))))
| hBOOL(hAPP_f1664156314l_bool(X1707,X1709))
| ~ hBOOL(hAPP_f1664156314l_bool(X1707,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1709),X1708))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1709)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_427])])])]) ).
fof(i_0_458,plain,
! [X1474,X1475] : insert_pname(X1474,X1475) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1474)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1475))),
inference(variable_rename,[status(thm)],[fact_186_insert__compr]) ).
fof(i_0_459,plain,
! [X1567,X1568,X1569,X1570] :
( ( X1567 = X1570
| X1567 = X1569
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) != insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) )
& ( X1568 = X1569
| X1567 = X1569
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) != insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) )
& ( X1567 = X1570
| X1568 = X1570
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) != insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) )
& ( X1568 = X1569
| X1568 = X1570
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) != insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) )
& ( X1567 != X1569
| X1568 != X1570
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) = insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) )
& ( X1567 != X1570
| X1568 != X1569
| insert_pname(X1567,insert_pname(X1568,bot_bo844097828e_bool)) = insert_pname(X1569,insert_pname(X1570,bot_bo844097828e_bool))
| ~ is_pname(X1567)
| ~ is_pname(X1568)
| ~ is_pname(X1569)
| ~ is_pname(X1570) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_225_doubleton__eq__iff])])]) ).
fof(i_0_460,plain,
! [X1698,X1699] :
( ( is_pname(esk23_2(X1698,X1699))
| ~ hBOOL(wt(X1698))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1699),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1698),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X1698,X1699)),dom_pname_com(body)))
| ~ hBOOL(wt(X1698))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1699),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1698),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1699),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X1698,X1699))),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1698))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1699),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1698),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton) ) ),
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)],[fact_287_MGF__lemma1])])])])])]) ).
fof(i_0_461,plain,
! [X1722,X1723,X1724] :
( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,esk32_3(X1722,X1723,X1724)))
| hBOOL(hAPP_f166538662l_bool(X1722,X1724))
| ~ hBOOL(hAPP_f166538662l_bool(X1722,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1724),X1723))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1724)) )
& ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X1722,X1723,X1724)),X1723))
| hBOOL(hAPP_f166538662l_bool(X1722,X1724))
| ~ hBOOL(hAPP_f166538662l_bool(X1722,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1724),X1723))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1724)) )
& ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X1722,X1723,X1724)),esk32_3(X1722,X1723,X1724)))
| hBOOL(hAPP_f166538662l_bool(X1722,X1724))
| ~ hBOOL(hAPP_f166538662l_bool(X1722,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1724),X1723))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1724)) )
& ( hBOOL(hAPP_f166538662l_bool(X1722,esk32_3(X1722,X1723,X1724)))
| hBOOL(hAPP_f166538662l_bool(X1722,X1724))
| ~ hBOOL(hAPP_f166538662l_bool(X1722,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1724),X1723))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1724)) )
& ( ~ hBOOL(hAPP_f166538662l_bool(X1722,insert1556680138e_bool(esk31_3(X1722,X1723,X1724),esk32_3(X1722,X1723,X1724))))
| hBOOL(hAPP_f166538662l_bool(X1722,X1724))
| ~ hBOOL(hAPP_f166538662l_bool(X1722,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1724),X1723))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1724)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_428])])])]) ).
cnf(i_0_462,plain,
insert1556680138e_bool(X1,X2) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))),
inference(split_conjunct,[status(thm)],[i_0_429]) ).
cnf(i_0_463,plain,
collec1823980261e_bool(X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_430]) ).
fof(i_0_464,plain,
! [X1712,X1713,X1714] :
( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,esk28_3(X1712,X1713,X1714)))
| hBOOL(hAPP_f971112728l_bool(X1712,X1714))
| ~ hBOOL(hAPP_f971112728l_bool(X1712,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1714),X1713))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1714)) )
& ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X1712,X1713,X1714)),X1713))
| hBOOL(hAPP_f971112728l_bool(X1712,X1714))
| ~ hBOOL(hAPP_f971112728l_bool(X1712,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1714),X1713))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1714)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X1712,X1713,X1714)),esk28_3(X1712,X1713,X1714)))
| hBOOL(hAPP_f971112728l_bool(X1712,X1714))
| ~ hBOOL(hAPP_f971112728l_bool(X1712,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1714),X1713))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1714)) )
& ( hBOOL(hAPP_f971112728l_bool(X1712,esk28_3(X1712,X1713,X1714)))
| hBOOL(hAPP_f971112728l_bool(X1712,X1714))
| ~ hBOOL(hAPP_f971112728l_bool(X1712,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1714),X1713))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1714)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(X1712,insert1415133716_state(esk27_3(X1712,X1713,X1714),esk28_3(X1712,X1713,X1714))))
| hBOOL(hAPP_f971112728l_bool(X1712,X1714))
| ~ hBOOL(hAPP_f971112728l_bool(X1712,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1714),X1713))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1714)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_431])])])]) ).
fof(i_0_465,plain,
! [X1456,X1457,X1458] : insert_pname(X1456,insert_pname(X1457,X1458)) = insert_pname(X1457,insert_pname(X1456,X1458)),
inference(variable_rename,[status(thm)],[fact_178_insert__commute]) ).
fof(i_0_466,plain,
! [X1644,X1645,X1646] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1644),X1646))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1644,X1645)),X1646)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1645),X1646))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1644,X1645)),X1646)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1644),X1646))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1645),X1646))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1644,X1645)),X1646)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_262_insert__subset])])]) ).
fof(i_0_467,plain,
! [X1618,X1619,X1620] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1619),X1620))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1618,X1619)),insert_pname(X1618,X1620))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_250_insert__mono])]) ).
fof(i_0_468,plain,
! [X1462,X1463] : insert_pname(X1462,insert_pname(X1462,X1463)) = insert_pname(X1462,X1463),
inference(variable_rename,[status(thm)],[fact_180_insert__absorb2]) ).
fof(i_0_469,plain,
! [X1571,X1572,X1573,X1574] :
( ( X1571 = X1574
| X1571 = X1573
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) != insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) )
& ( X1572 = X1573
| X1571 = X1573
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) != insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) )
& ( X1571 = X1574
| X1572 = X1574
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) != insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) )
& ( X1572 = X1573
| X1572 = X1574
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) != insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) )
& ( X1571 != X1573
| X1572 != X1574
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) = insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) )
& ( X1571 != X1574
| X1572 != X1573
| insert1415133716_state(X1571,insert1415133716_state(X1572,bot_bo620288102e_bool)) = insert1415133716_state(X1573,insert1415133716_state(X1574,bot_bo620288102e_bool)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_226_doubleton__eq__iff])])]) ).
fof(i_0_470,plain,
! [X1241,X1242] :
( ~ is_fun1661590463l_bool(X1241)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1241),insert1325755072e_bool(X1242,bot_bo1649642514l_bool)))
| X1241 = bot_bo1649642514l_bool
| X1241 = insert1325755072e_bool(X1242,bot_bo1649642514l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_100_subset__singletonD])]) ).
fof(i_0_471,plain,
! [X1245,X1246] :
( ~ is_fun_pname_bool(X1245)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1245),insert_pname(X1246,bot_bo844097828e_bool)))
| X1245 = bot_bo844097828e_bool
| X1245 = insert_pname(X1246,bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_102_subset__singletonD])]) ).
fof(i_0_472,plain,
! [X1638,X1639,X1640] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1640),insert_pname(X1639,X1638)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1640),X1638))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1639),X1640)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1640),X1638))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1640),insert_pname(X1639,X1638)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1639),X1640)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_432])])]) ).
fof(i_0_473,plain,
! [X1267,X1268,X1269] :
( ~ is_fun_pname_bool(X1267)
| ~ is_fun_pname_bool(X1268)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1267),insert1325755072e_bool(X1268,X1269)))
| X1267 = X1268
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1267),X1269)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_113_insertE])]) ).
fof(i_0_474,plain,
! [X1450,X1451,X1452] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1450),insert_pname(X1451,X1452)))
| X1450 = X1451
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1450),X1452))
| ~ is_pname(X1450)
| ~ is_pname(X1451) )
& ( X1450 != X1451
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1450),insert_pname(X1451,X1452)))
| ~ is_pname(X1450)
| ~ is_pname(X1451) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1450),X1452))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1450),insert_pname(X1451,X1452)))
| ~ is_pname(X1450)
| ~ is_pname(X1451) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_176_insert__iff])])]) ).
fof(i_0_475,plain,
! [X1273,X1274,X1275] :
( ~ is_pname(X1273)
| ~ is_pname(X1274)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1273),insert_pname(X1274,X1275)))
| X1273 = X1274
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1273),X1275)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_115_insertE])]) ).
fof(i_0_476,plain,
! [X1647,X1648,X1649] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1647),X1649))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1647,X1648)),X1649)) )
& ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1648),X1649))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1647,X1648)),X1649)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1647),X1649))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1648),X1649))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1647,X1648)),X1649)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_263_insert__subset])])]) ).
fof(i_0_477,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
fof(i_0_478,plain,
! [X1621,X1622,X1623] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1622),X1623))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1621,X1622)),insert1415133716_state(X1621,X1623))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_251_insert__mono])]) ).
fof(i_0_479,plain,
! [X1575,X1576] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1575),insert_pname(X1576,bot_bo844097828e_bool)))
| X1575 = X1576
| ~ is_pname(X1575)
| ~ is_pname(X1576) )
& ( X1575 != X1576
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1575),insert_pname(X1576,bot_bo844097828e_bool)))
| ~ is_pname(X1575)
| ~ is_pname(X1576) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_227_singleton__iff])])]) ).
fof(i_0_480,plain,
! [X1563,X1564] :
( ~ is_pname(X1563)
| ~ is_pname(X1564)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1563),insert_pname(X1564,bot_bo844097828e_bool)))
| X1563 = X1564 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_223_singletonE])]) ).
fof(i_0_481,plain,
! [X1444,X1445,X1446] :
( ( ~ hBOOL(hAPP_pname_bool(insert_pname(X1444,X1445),X1446))
| X1444 = X1446
| hBOOL(hAPP_pname_bool(X1445,X1446))
| ~ is_pname(X1444)
| ~ is_pname(X1446) )
& ( X1444 != X1446
| hBOOL(hAPP_pname_bool(insert_pname(X1444,X1445),X1446))
| ~ is_pname(X1444)
| ~ is_pname(X1446) )
& ( ~ hBOOL(hAPP_pname_bool(X1445,X1446))
| hBOOL(hAPP_pname_bool(insert_pname(X1444,X1445),X1446))
| ~ is_pname(X1444)
| ~ is_pname(X1446) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_174_insert__code])])]) ).
fof(i_0_482,plain,
! [X1591,X1592] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1591,X1592)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1592)) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1592))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1591,X1592))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_235_finite__insert])]) ).
fof(i_0_483,plain,
! [X1587,X1588] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1587,X1588)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1588)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1588))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1587,X1588))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_233_finite__insert])]) ).
fof(i_0_484,plain,
! [X1038,X1039,X1040] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1039),insert1415133716_state(X1040,bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1039),X1038))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1039),insert1415133716_state(X1040,X1038))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5_hoare__derivs_Oinsert])]) ).
fof(i_0_485,plain,
! [X1041,X1042,X1043] :
( ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1041),insert1415133716_state(X1042,bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1041),insert1415133716_state(X1042,X1043))) )
& ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1041),X1043))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1041),insert1415133716_state(X1042,X1043))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6_derivs__insertD])])]) ).
fof(i_0_486,plain,
! [X1459,X1460,X1461] : insert1415133716_state(X1459,insert1415133716_state(X1460,X1461)) = insert1415133716_state(X1460,insert1415133716_state(X1459,X1461)),
inference(variable_rename,[status(thm)],[fact_179_insert__commute]) ).
fof(i_0_487,plain,
! [X1255,X1256,X1257] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1256),X1257))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1256),insert1325755072e_bool(X1255,X1257))) )
& ( X1256 != X1255
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1256),insert1325755072e_bool(X1255,X1257))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_433])])]) ).
fof(i_0_488,plain,
! [X1632,X1633,X1634] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1633),X1634))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1633),insert_pname(X1632,X1634))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_258_subset__insertI2])]) ).
fof(i_0_489,plain,
! [X1432,X1433,X1434] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1433),X1434))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1433),insert_pname(X1432,X1434))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_170_insertI2])]) ).
fof(i_0_490,plain,
! [X1261,X1262,X1263] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1262),X1263))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1262),insert_pname(X1261,X1263))) )
& ( X1262 != X1261
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1262),insert_pname(X1261,X1263))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_434])])]) ).
fof(i_0_491,plain,
! [X1650,X1651] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1650),insert_pname(X1651,X1650))),
inference(variable_rename,[status(thm)],[fact_264_subset__insertI]) ).
fof(i_0_492,plain,
! [X1482,X1483] : hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1482),insert_pname(X1482,X1483))),
inference(variable_rename,[status(thm)],[fact_190_insertI1]) ).
fof(i_0_493,plain,
! [X1104,X1105] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1105))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1104,X1105))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_42_finite_OinsertI])]) ).
fof(i_0_494,plain,
! [X1096,X1097] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1097))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1096,X1097))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_finite_OinsertI])]) ).
fof(i_0_495,plain,
! [X1641,X1642,X1643] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1643),insert1415133716_state(X1642,X1641)))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1643),X1641))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1642),X1643)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1643),X1641))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1643),insert1415133716_state(X1642,X1641)))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1642),X1643)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_435])])]) ).
fof(i_0_496,plain,
! [X1243,X1244] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1243),insert1556680138e_bool(X1244,bot_bo535777328l_bool)))
| X1243 = bot_bo535777328l_bool
| X1243 = insert1556680138e_bool(X1244,bot_bo535777328l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_101_subset__singletonD])]) ).
fof(i_0_497,plain,
! [X1239,X1240] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1239),insert1415133716_state(X1240,bot_bo620288102e_bool)))
| X1239 = bot_bo620288102e_bool
| X1239 = insert1415133716_state(X1240,bot_bo620288102e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_subset__singletonD])]) ).
fof(i_0_498,plain,
! [X1270,X1271,X1272] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1270),insert1556680138e_bool(X1271,X1272)))
| X1270 = X1271
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1270),X1272)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_insertE])]) ).
fof(i_0_499,plain,
! [X1453,X1454,X1455] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1453),insert1415133716_state(X1454,X1455)))
| X1453 = X1454
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1453),X1455)) )
& ( X1453 != X1454
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1453),insert1415133716_state(X1454,X1455))) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1453),X1455))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1453),insert1415133716_state(X1454,X1455))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_177_insert__iff])])]) ).
fof(i_0_500,plain,
! [X1264,X1265,X1266] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1264),insert1415133716_state(X1265,X1266)))
| X1264 = X1265
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1264),X1266)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_112_insertE])]) ).
fof(i_0_501,plain,
! [X1438,X1439,X1440] :
( ( insert_pname(X1439,X1440) != insert_pname(X1439,X1438)
| X1440 = X1438
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1439),X1438))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1439),X1440))
| ~ is_fun_pname_bool(X1438)
| ~ is_fun_pname_bool(X1440) )
& ( X1440 != X1438
| insert_pname(X1439,X1440) = insert_pname(X1439,X1438)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1439),X1438))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1439),X1440))
| ~ is_fun_pname_bool(X1438)
| ~ is_fun_pname_bool(X1440) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_436])])]) ).
fof(i_0_502,plain,
! [X1247] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1247))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1247),bot_bo620288102e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])]) ).
fof(i_0_503,plain,
! [X1577,X1578] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1577),insert1415133716_state(X1578,bot_bo620288102e_bool)))
| X1577 = X1578 )
& ( X1577 != X1578
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1577),insert1415133716_state(X1578,bot_bo620288102e_bool))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_228_singleton__iff])]) ).
fof(i_0_504,plain,
! [X1565,X1566] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1565),insert1415133716_state(X1566,bot_bo620288102e_bool)))
| X1565 = X1566 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_224_singletonE])]) ).
fof(i_0_505,plain,
! [X1447,X1448,X1449] :
( ( ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1447,X1448),X1449))
| X1447 = X1449
| hBOOL(hAPP_H78829294e_bool(X1448,X1449)) )
& ( X1447 != X1449
| hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1447,X1448),X1449)) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X1448,X1449))
| hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1447,X1448),X1449)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_175_insert__code])])]) ).
fof(i_0_506,plain,
! [X1593,X1594] :
( ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1593,X1594)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1594)) )
& ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1594))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1593,X1594))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_236_finite__insert])]) ).
fof(i_0_507,plain,
! [X1589,X1590] :
( ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1589,X1590)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1590)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1590))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1589,X1590))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_234_finite__insert])]) ).
fof(i_0_508,plain,
! [X1559,X1560] :
( ~ is_pname(X1559)
| ~ is_pname(X1560)
| insert_pname(X1559,bot_bo844097828e_bool) != insert_pname(X1560,bot_bo844097828e_bool)
| X1559 = X1560 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_221_singleton__inject])]) ).
fof(i_0_509,plain,
! [X1657,X1658,X1659] : image_2003357581_state(X1657,insert_pname(X1658,X1659)) = insert1415133716_state(hAPP_p1422361149_state(X1657,X1658),image_2003357581_state(X1657,X1659)),
inference(variable_rename,[status(thm)],[fact_267_image__insert]) ).
fof(i_0_510,plain,
! [X1464,X1465] : insert1415133716_state(X1464,insert1415133716_state(X1464,X1465)) = insert1415133716_state(X1464,X1465),
inference(variable_rename,[status(thm)],[fact_181_insert__absorb2]) ).
fof(i_0_511,plain,
! [X1258,X1259,X1260] :
( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1259),X1260))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1259),insert1556680138e_bool(X1258,X1260))) )
& ( X1259 != X1258
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1259),insert1556680138e_bool(X1258,X1260))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_437])])]) ).
fof(i_0_512,plain,
! [X1435,X1436,X1437] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1436),X1437))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1436),insert1415133716_state(X1435,X1437))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_171_insertI2])]) ).
fof(i_0_513,plain,
! [X1252,X1253,X1254] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1253),X1254))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1253),insert1415133716_state(X1252,X1254))) )
& ( X1253 != X1252
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1253),insert1415133716_state(X1252,X1254))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_438])])]) ).
fof(i_0_514,plain,
! [X1635,X1636,X1637] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1636),X1637))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1636),insert1415133716_state(X1635,X1637))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_259_subset__insertI2])]) ).
fof(i_0_515,plain,
! [X1470,X1471] : insert1325755072e_bool(X1470,collec1974731493e_bool(X1471)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1470))),X1471)),
inference(variable_rename,[status(thm)],[fact_184_insert__Collect]) ).
fof(i_0_516,plain,
! [X1466,X1467] : insert_pname(X1466,collect_pname(X1467)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1466))),X1467)),
inference(variable_rename,[status(thm)],[fact_182_insert__Collect]) ).
fof(i_0_517,plain,
! [X20,X17,X9] :
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X20),image_2003357581_state(X17,X9)))
=> ~ ! [X21] :
( is_pname(X21)
=> ( X20 = hAPP_p1422361149_state(X17,X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X21),X9)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_289_imageE]) ).
fof(i_0_518,plain,
! [X1484,X1485] : hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1484),insert1415133716_state(X1484,X1485))),
inference(variable_rename,[status(thm)],[fact_191_insertI1]) ).
fof(i_0_519,plain,
! [X1652,X1653] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1652),insert1415133716_state(X1653,X1652))),
inference(variable_rename,[status(thm)],[fact_265_subset__insertI]) ).
fof(i_0_520,plain,
! [X1102,X1103] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1103))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1102,X1103))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_finite_OinsertI])]) ).
fof(i_0_521,plain,
! [X1094,X1095] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1095))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1094,X1095))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_finite_OinsertI])]) ).
fof(i_0_522,plain,
! [X1441,X1442,X1443] :
( ( insert1415133716_state(X1442,X1443) != insert1415133716_state(X1442,X1441)
| X1443 = X1441
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1442),X1441))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1442),X1443)) )
& ( X1443 != X1441
| insert1415133716_state(X1442,X1443) = insert1415133716_state(X1442,X1441)
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1442),X1441))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1442),X1443)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_439])])]) ).
fof(i_0_523,plain,
! [X982,X983] :
( ~ is_fun_pname_bool(X982)
| ~ is_fun1661590463l_bool(X983)
| is_fun1661590463l_bool(insert1325755072e_bool(X982,X983)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])]) ).
fof(i_0_524,plain,
! [X980,X981] :
( ~ is_pname(X980)
| ~ is_fun_pname_bool(X981)
| is_fun_pname_bool(insert_pname(X980,X981)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oinsert_000tc__Com__Opname])]) ).
fof(i_0_525,plain,
! [X1678,X1679] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X1678,X1679))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1679)),X1678)) = insert1325755072e_bool(X1679,bot_bo1649642514l_bool) )
& ( hBOOL(hAPP_f1664156314l_bool(X1678,X1679))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1679)),X1678)) = bot_bo1649642514l_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_440])]) ).
fof(i_0_526,plain,
! [X1674,X1675] :
( ( ~ hBOOL(hAPP_pname_bool(X1674,X1675))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1675)),X1674)) = insert_pname(X1675,bot_bo844097828e_bool) )
& ( hBOOL(hAPP_pname_bool(X1674,X1675))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1675)),X1674)) = bot_bo844097828e_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_441])]) ).
fof(i_0_527,plain,
! [X1686,X1687] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(X1686,X1687))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1687)),X1686)) = insert1325755072e_bool(X1687,bot_bo1649642514l_bool) )
& ( hBOOL(hAPP_f1664156314l_bool(X1686,X1687))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1687)),X1686)) = bot_bo1649642514l_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_442])]) ).
fof(i_0_528,plain,
! [X1682,X1683] :
( ( ~ hBOOL(hAPP_pname_bool(X1682,X1683))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1683)),X1682)) = insert_pname(X1683,bot_bo844097828e_bool) )
& ( hBOOL(hAPP_pname_bool(X1682,X1683))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1683)),X1682)) = bot_bo844097828e_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_443])]) ).
fof(i_0_529,plain,
! [X1654,X1655,X1656] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1655),X1656))
| insert1415133716_state(hAPP_p1422361149_state(X1654,X1655),image_2003357581_state(X1654,X1656)) = image_2003357581_state(X1654,X1656) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_266_insert__image])]) ).
fof(i_0_530,plain,
! [X1579,X1580] : insert_pname(X1579,X1580) != bot_bo844097828e_bool,
inference(variable_rename,[status(thm)],[fact_229_insert__not__empty]) ).
fof(i_0_531,plain,
! [X1583,X1584] : bot_bo844097828e_bool != insert_pname(X1583,X1584),
inference(variable_rename,[status(thm)],[fact_231_empty__not__insert]) ).
fof(i_0_532,plain,
! [X1561,X1562] :
( insert1415133716_state(X1561,bot_bo620288102e_bool) != insert1415133716_state(X1562,bot_bo620288102e_bool)
| X1561 = X1562 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_222_singleton__inject])]) ).
fof(i_0_533,plain,
! [X1170,X1171,X1172] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1171),X1172))
| image_187965177_pname(cOMBK_1589414042e_bool(X1170),X1172) = insert_pname(X1170,bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_76_image__constant])]) ).
fof(i_0_534,plain,
! [X1167,X1168,X1169] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1168),X1169))
| image_1283814551_pname(cOMBK_948730864e_bool(X1167),X1169) = insert_pname(X1167,bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_75_image__constant])]) ).
fof(i_0_535,plain,
! [X1146,X1147,X1148] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1147),X1148))
| image_2131964411e_bool(cOMBK_2035509764_state(X1146),X1148) = insert1325755072e_bool(X1146,bot_bo1649642514l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_68_image__constant])]) ).
fof(i_0_536,plain,
! [X1143,X1144,X1145] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1144),X1145))
| image_54689091_pname(cOMBK_168215364_state(X1143),X1145) = insert_pname(X1143,bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_67_image__constant])]) ).
fof(i_0_537,plain,
! [X1152,X1153,X1154] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1153),X1154))
| image_47868345e_bool(cOMBK_37193422_pname(X1152),X1154) = insert1325755072e_bool(X1152,bot_bo1649642514l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_70_image__constant])]) ).
fof(i_0_538,plain,
! [X1158,X1159,X1160] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1159),X1160))
| image_pname_pname(cOMBK_pname_pname(X1158),X1160) = insert_pname(X1158,bot_bo844097828e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_image__constant])]) ).
fof(i_0_539,plain,
! [X1428,X1429] :
( ~ is_fun_pname_bool(X1429)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1428),X1429))
| insert_pname(X1428,X1429) = X1429 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_insert__absorb])]) ).
fof(i_0_540,plain,
! [X1472,X1473] : insert1556680138e_bool(X1472,collec1823980261e_bool(X1473)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1472))),X1473)),
inference(variable_rename,[status(thm)],[fact_185_insert__Collect]) ).
fof(i_0_541,plain,
! [X1468,X1469] : insert1415133716_state(X1468,collec307967673_state(X1469)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1468))),X1469)),
inference(variable_rename,[status(thm)],[fact_183_insert__Collect]) ).
fof(i_0_542,plain,
! [X1176,X1177,X1178] :
( hAPP_f2138803836on_com(X1176,X1177) != some_com(X1178)
| insert1325755072e_bool(X1177,dom_fu2081503504ol_com(X1176)) = dom_fu2081503504ol_com(X1176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_78_insert__dom])]) ).
fof(i_0_543,plain,
! [X1173,X1174,X1175] :
( hAPP_p799580910on_com(X1173,X1174) != some_com(X1175)
| insert_pname(X1174,dom_pname_com(X1173)) = dom_pname_com(X1173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_77_insert__dom])]) ).
fof(i_0_544,plain,
! [X1692] : collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1692)) = insert1325755072e_bool(X1692,bot_bo1649642514l_bool),
inference(variable_rename,[status(thm)],[fact_281_singleton__conv]) ).
fof(i_0_545,plain,
! [X1690] : collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1690)) = insert_pname(X1690,bot_bo844097828e_bool),
inference(variable_rename,[status(thm)],[fact_279_singleton__conv]) ).
fof(i_0_546,plain,
! [X1549,X1550] :
( ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1549)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1549),X1550)))) )
& ( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1550)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1549),X1550)))) )
& ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1549)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1550)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1549),X1550)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_216_finite__Collect__disjI])])]) ).
fof(i_0_547,plain,
! [X1545,X1546] :
( ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1545)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1545),X1546)))) )
& ( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1546)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1545),X1546)))) )
& ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1545)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1546)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1545),X1546)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_214_finite__Collect__disjI])])]) ).
fof(i_0_548,plain,
! [X1136,X1137] :
( ( X1137 != bot_bo1649642514l_bool
| image_1283814551_pname(cOMBK_948730864e_bool(X1136),X1137) = bot_bo844097828e_bool
| ~ is_fun1661590463l_bool(X1137) )
& ( X1137 = bot_bo1649642514l_bool
| image_1283814551_pname(cOMBK_948730864e_bool(X1136),X1137) = insert_pname(X1136,bot_bo844097828e_bool)
| ~ is_fun1661590463l_bool(X1137) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_64_image__constant__conv])])]) ).
fof(i_0_549,plain,
! [X1126,X1127] :
( ( X1127 != bot_bo844097828e_bool
| image_47868345e_bool(cOMBK_37193422_pname(X1126),X1127) = bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1127) )
& ( X1127 = bot_bo844097828e_bool
| image_47868345e_bool(cOMBK_37193422_pname(X1126),X1127) = insert1325755072e_bool(X1126,bot_bo1649642514l_bool)
| ~ is_fun_pname_bool(X1127) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_59_image__constant__conv])])]) ).
fof(i_0_550,plain,
! [X1130,X1131] :
( ( X1131 != bot_bo844097828e_bool
| image_pname_pname(cOMBK_pname_pname(X1130),X1131) = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1131) )
& ( X1131 = bot_bo844097828e_bool
| image_pname_pname(cOMBK_pname_pname(X1130),X1131) = insert_pname(X1130,bot_bo844097828e_bool)
| ~ is_fun_pname_bool(X1131) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_61_image__constant__conv])])]) ).
fof(i_0_551,plain,
! [X1696] : collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1696)) = insert1325755072e_bool(X1696,bot_bo1649642514l_bool),
inference(variable_rename,[status(thm)],[fact_285_singleton__conv2]) ).
fof(i_0_552,plain,
! [X1694] : collect_pname(hAPP_p61793385e_bool(fequal_pname,X1694)) = insert_pname(X1694,bot_bo844097828e_bool),
inference(variable_rename,[status(thm)],[fact_283_singleton__conv2]) ).
fof(i_0_553,plain,
! [X1138,X1139] :
( ( X1139 != bot_bo535777328l_bool
| image_187965177_pname(cOMBK_1589414042e_bool(X1138),X1139) = bot_bo844097828e_bool )
& ( X1139 = bot_bo535777328l_bool
| image_187965177_pname(cOMBK_1589414042e_bool(X1138),X1139) = insert_pname(X1138,bot_bo844097828e_bool) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_65_image__constant__conv])]) ).
fof(i_0_554,plain,
! [X1122,X1123] :
( ( X1123 != bot_bo620288102e_bool
| image_2131964411e_bool(cOMBK_2035509764_state(X1122),X1123) = bot_bo1649642514l_bool )
& ( X1123 = bot_bo620288102e_bool
| image_2131964411e_bool(cOMBK_2035509764_state(X1122),X1123) = insert1325755072e_bool(X1122,bot_bo1649642514l_bool) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_57_image__constant__conv])]) ).
fof(i_0_555,plain,
! [X1120,X1121] :
( ( X1121 != bot_bo620288102e_bool
| image_54689091_pname(cOMBK_168215364_state(X1120),X1121) = bot_bo844097828e_bool )
& ( X1121 = bot_bo620288102e_bool
| image_54689091_pname(cOMBK_168215364_state(X1120),X1121) = insert_pname(X1120,bot_bo844097828e_bool) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_image__constant__conv])]) ).
fof(i_0_556,plain,
! [X1680,X1681] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X1680,X1681))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1681)),X1680)) = insert1556680138e_bool(X1681,bot_bo535777328l_bool) )
& ( hBOOL(hAPP_f971112728l_bool(X1680,X1681))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1681)),X1680)) = bot_bo535777328l_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_444])]) ).
fof(i_0_557,plain,
! [X1676,X1677] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X1676,X1677))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1677)),X1676)) = insert1415133716_state(X1677,bot_bo620288102e_bool) )
& ( hBOOL(hAPP_H78829294e_bool(X1676,X1677))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1677)),X1676)) = bot_bo620288102e_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_445])]) ).
fof(i_0_558,plain,
! [X1149,X1150,X1151] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1150),X1151))
| image_1828608335e_bool(cOMBK_1039769424_state(X1149),X1151) = insert1556680138e_bool(X1149,bot_bo535777328l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_69_image__constant])]) ).
fof(i_0_559,plain,
! [X1155,X1156,X1157] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1156),X1157))
| image_70449425e_bool(cOMBK_1706929794_pname(X1155),X1157) = insert1556680138e_bool(X1155,bot_bo535777328l_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_71_image__constant])]) ).
fof(i_0_560,plain,
! [X1161,X1162,X1163] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1162),X1163))
| image_516545147_state(cOMBK_1503445380e_bool(X1161),X1163) = insert1415133716_state(X1161,bot_bo620288102e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_73_image__constant])]) ).
fof(i_0_561,plain,
! [X1164,X1165,X1166] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1165),X1166))
| image_18964633_state(cOMBK_701929478e_bool(X1164),X1166) = insert1415133716_state(X1164,bot_bo620288102e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_74_image__constant])]) ).
fof(i_0_562,plain,
! [X1140,X1141,X1142] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1141),X1142))
| image_2003357581_state(cOMBK_367030522_pname(X1140),X1142) = insert1415133716_state(X1140,bot_bo620288102e_bool) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_image__constant])]) ).
fof(i_0_563,plain,
! [X1688,X1689] :
( ( ~ hBOOL(hAPP_f971112728l_bool(X1688,X1689))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1689)),X1688)) = insert1556680138e_bool(X1689,bot_bo535777328l_bool) )
& ( hBOOL(hAPP_f971112728l_bool(X1688,X1689))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X1689)),X1688)) = bot_bo535777328l_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_446])]) ).
fof(i_0_564,plain,
! [X1684,X1685] :
( ( ~ hBOOL(hAPP_H78829294e_bool(X1684,X1685))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1685)),X1684)) = insert1415133716_state(X1685,bot_bo620288102e_bool) )
& ( hBOOL(hAPP_H78829294e_bool(X1684,X1685))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X1685)),X1684)) = bot_bo620288102e_bool ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_447])]) ).
fof(i_0_565,plain,
! [X1430,X1431] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1430),X1431))
| insert1415133716_state(X1430,X1431) = X1431 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_169_insert__absorb])]) ).
fof(i_0_566,plain,
! [X1114,X1115] :
( ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1115)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1115),X1114)))) )
& ( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1114)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1115),X1114)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_finite__Collect__conjI])])]) ).
fof(i_0_567,plain,
! [X1108,X1109] :
( ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1109)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1109),X1108)))) )
& ( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1108)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1109),X1108)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_50_finite__Collect__conjI])])]) ).
fof(i_0_568,plain,
! [X1581,X1582] : insert1415133716_state(X1581,X1582) != bot_bo620288102e_bool,
inference(variable_rename,[status(thm)],[fact_230_insert__not__empty]) ).
fof(i_0_569,plain,
! [X1585,X1586] : bot_bo620288102e_bool != insert1415133716_state(X1585,X1586),
inference(variable_rename,[status(thm)],[fact_232_empty__not__insert]) ).
fof(i_0_570,plain,
! [X1179,X1180,X1181] :
( hAPP_f2134636538on_com(X1179,X1180) != some_com(X1181)
| insert1556680138e_bool(X1180,dom_fu1342267980ol_com(X1179)) = dom_fu1342267980ol_com(X1179) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_79_insert__dom])]) ).
fof(i_0_571,plain,
! [X1132,X1133] :
( ( X1133 != bot_bo1649642514l_bool
| image_516545147_state(cOMBK_1503445380e_bool(X1132),X1133) = bot_bo620288102e_bool
| ~ is_fun1661590463l_bool(X1133) )
& ( X1133 = bot_bo1649642514l_bool
| image_516545147_state(cOMBK_1503445380e_bool(X1132),X1133) = insert1415133716_state(X1132,bot_bo620288102e_bool)
| ~ is_fun1661590463l_bool(X1133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_62_image__constant__conv])])]) ).
fof(i_0_572,plain,
! [X1128,X1129] :
( ( X1129 != bot_bo844097828e_bool
| image_70449425e_bool(cOMBK_1706929794_pname(X1128),X1129) = bot_bo535777328l_bool
| ~ is_fun_pname_bool(X1129) )
& ( X1129 = bot_bo844097828e_bool
| image_70449425e_bool(cOMBK_1706929794_pname(X1128),X1129) = insert1556680138e_bool(X1128,bot_bo535777328l_bool)
| ~ is_fun_pname_bool(X1129) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_60_image__constant__conv])])]) ).
fof(i_0_573,plain,
! [X1118,X1119] :
( ( X1119 != bot_bo844097828e_bool
| image_2003357581_state(cOMBK_367030522_pname(X1118),X1119) = bot_bo620288102e_bool
| ~ is_fun_pname_bool(X1119) )
& ( X1119 = bot_bo844097828e_bool
| image_2003357581_state(cOMBK_367030522_pname(X1118),X1119) = insert1415133716_state(X1118,bot_bo620288102e_bool)
| ~ is_fun_pname_bool(X1119) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_image__constant__conv])])]) ).
fof(i_0_574,plain,
! [X1134,X1135] :
( ( X1135 != bot_bo535777328l_bool
| image_18964633_state(cOMBK_701929478e_bool(X1134),X1135) = bot_bo620288102e_bool )
& ( X1135 = bot_bo535777328l_bool
| image_18964633_state(cOMBK_701929478e_bool(X1134),X1135) = insert1415133716_state(X1134,bot_bo620288102e_bool) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_63_image__constant__conv])]) ).
fof(i_0_575,plain,
! [X1124,X1125] :
( ( X1125 != bot_bo620288102e_bool
| image_1828608335e_bool(cOMBK_1039769424_state(X1124),X1125) = bot_bo535777328l_bool )
& ( X1125 = bot_bo620288102e_bool
| image_1828608335e_bool(cOMBK_1039769424_state(X1124),X1125) = insert1556680138e_bool(X1124,bot_bo535777328l_bool) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_58_image__constant__conv])]) ).
fof(i_0_576,plain,
! [X1691] : collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1691)) = insert1415133716_state(X1691,bot_bo620288102e_bool),
inference(variable_rename,[status(thm)],[fact_280_singleton__conv]) ).
fof(i_0_577,plain,
! [X1693] : collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1693)) = insert1556680138e_bool(X1693,bot_bo535777328l_bool),
inference(variable_rename,[status(thm)],[fact_282_singleton__conv]) ).
fof(i_0_578,plain,
! [X1695] : collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1695)) = insert1415133716_state(X1695,bot_bo620288102e_bool),
inference(variable_rename,[status(thm)],[fact_284_singleton__conv2]) ).
fof(i_0_579,plain,
! [X1697] : collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1697)) = insert1556680138e_bool(X1697,bot_bo535777328l_bool),
inference(variable_rename,[status(thm)],[fact_286_singleton__conv2]) ).
fof(i_0_580,plain,
! [X9] :
( is_fun1661590463l_bool(X9)
=> ( ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X21),X9)) )
<=> X9 = bot_bo1649642514l_bool ) ),
inference(fof_simplification,[status(thm)],[fact_159_all__not__in__conv]) ).
fof(i_0_581,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)],[fact_162_all__not__in__conv]) ).
fof(i_0_582,plain,
! [X39,X40] :
( ( is_pname(X39)
& is_pname(X40) )
=> ( ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X39),X40))
| X39 = X40 ) ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Com__Opname_T]) ).
fof(i_0_583,plain,
! [X39,X40] :
( ( is_fun_pname_bool(X39)
& is_fun_pname_bool(X40) )
=> ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X39),X40))
| X39 = X40 ) ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T]) ).
fof(i_0_584,plain,
! [X1047] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1047))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1047)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_9_finite__Collect__subsets])]) ).
fof(i_0_585,plain,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38))
| ~ hBOOL(X33)
| hBOOL(X38) ),
inference(fof_simplification,[status(thm)],[help_fimplies_3_1_U]) ).
fof(i_0_586,plain,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38))
| hBOOL(X33)
| hBOOL(X38) ),
inference(fof_simplification,[status(thm)],[help_fdisj_3_1_U]) ).
fof(i_0_587,plain,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
| hBOOL(X33) ),
inference(fof_simplification,[status(thm)],[help_fconj_2_1_U]) ).
fof(i_0_588,plain,
! [X33,X38] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38))
| hBOOL(X38) ),
inference(fof_simplification,[status(thm)],[help_fconj_3_1_U]) ).
fof(i_0_589,plain,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X21),X9))
<=> X9 = bot_bo535777328l_bool ),
inference(fof_simplification,[status(thm)],[fact_160_all__not__in__conv]) ).
fof(i_0_590,plain,
! [X12,X9] :
( X9 = bot_bo535777328l_bool
=> ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),X9)) ),
inference(fof_simplification,[status(thm)],[fact_136_equals0D]) ).
fof(i_0_591,plain,
! [X9] :
( ! [X21] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X21),X9))
<=> X9 = bot_bo620288102e_bool ),
inference(fof_simplification,[status(thm)],[fact_161_all__not__in__conv]) ).
fof(i_0_592,plain,
! [X12,X9] :
( X9 = bot_bo620288102e_bool
=> ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),X9)) ),
inference(fof_simplification,[status(thm)],[fact_137_equals0D]) ).
fof(i_0_593,plain,
! [X12,X9] :
( X9 = bot_bo1649642514l_bool
=> ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),X9)) ),
inference(fof_simplification,[status(thm)],[fact_135_equals0D]) ).
fof(i_0_594,plain,
! [X12,X9] :
( X9 = bot_bo844097828e_bool
=> ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),X9)) ),
inference(fof_simplification,[status(thm)],[fact_138_equals0D]) ).
fof(i_0_595,plain,
! [X39,X40] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X39),X40))
| X39 = X40 ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple]) ).
fof(i_0_596,plain,
! [X39,X40] :
( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X39),X40))
| X39 = X40 ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com]) ).
fof(i_0_597,plain,
! [X15] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X15),bot_bo535777328l_bool)),
inference(fof_simplification,[status(thm)],[fact_146_empty__iff]) ).
fof(i_0_598,plain,
! [X12] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X12),bot_bo535777328l_bool)),
inference(fof_simplification,[status(thm)],[fact_106_emptyE]) ).
fof(i_0_599,plain,
! [X15] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X15),bot_bo1649642514l_bool)),
inference(fof_simplification,[status(thm)],[fact_145_empty__iff]) ).
fof(i_0_600,plain,
! [X12] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X12),bot_bo1649642514l_bool)),
inference(fof_simplification,[status(thm)],[fact_105_emptyE]) ).
fof(i_0_601,plain,
! [X15] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X15),bot_bo620288102e_bool)),
inference(fof_simplification,[status(thm)],[fact_147_empty__iff]) ).
fof(i_0_602,plain,
! [X12] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X12),bot_bo620288102e_bool)),
inference(fof_simplification,[status(thm)],[fact_104_emptyE]) ).
fof(i_0_603,plain,
! [X15] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X15),bot_bo844097828e_bool)),
inference(fof_simplification,[status(thm)],[fact_148_empty__iff]) ).
fof(i_0_604,plain,
! [X12] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X12),bot_bo844097828e_bool)),
inference(fof_simplification,[status(thm)],[fact_107_emptyE]) ).
fof(i_0_605,plain,
! [X38,X33] :
( ~ hBOOL(X33)
| ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X33),X38)) ),
inference(fof_simplification,[status(thm)],[help_fconj_1_1_U]) ).
fof(i_0_606,plain,
! [X38,X33] :
( ~ hBOOL(X33)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
inference(fof_simplification,[status(thm)],[help_fdisj_1_1_U]) ).
fof(i_0_607,plain,
! [X33,X38] :
( ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X33),X38)) ),
inference(fof_simplification,[status(thm)],[help_fdisj_2_1_U]) ).
fof(i_0_608,plain,
! [X33,X38] :
( ~ hBOOL(X38)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X33),X38)) ),
inference(fof_simplification,[status(thm)],[help_fimplies_2_1_U]) ).
fof(i_0_609,plain,
! [X9,X19] :
( X9 = X19
=> ~ ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X9),X19))
=> ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X19),X9)) ) ),
inference(fof_simplification,[status(thm)],[fact_193_equalityE]) ).
fof(i_0_610,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)],[fact_192_equalityE]) ).
fof(i_0_611,plain,
! [X14] :
( collec1613912337l_bool(X14) = bot_bo1537088220l_bool
<=> ! [X21] :
( is_fun1661590463l_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_139_Collect__empty__eq]) ).
fof(i_0_612,plain,
! [X14] :
( collec1974731493e_bool(X14) = bot_bo1649642514l_bool
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_142_Collect__empty__eq]) ).
fof(i_0_613,plain,
! [X14] :
( collect_pname(X14) = bot_bo844097828e_bool
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_144_Collect__empty__eq]) ).
fof(i_0_614,plain,
! [X14] :
( bot_bo1537088220l_bool = collec1613912337l_bool(X14)
<=> ! [X21] :
( is_fun1661590463l_bool(X21)
=> ~ hBOOL(hAPP_f1935102916l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_149_empty__Collect__eq]) ).
fof(i_0_615,plain,
! [X14] :
( bot_bo1649642514l_bool = collec1974731493e_bool(X14)
<=> ! [X21] :
( is_fun_pname_bool(X21)
=> ~ hBOOL(hAPP_f1664156314l_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_152_empty__Collect__eq]) ).
fof(i_0_616,plain,
! [X14] :
( bot_bo844097828e_bool = collect_pname(X14)
<=> ! [X21] :
( is_pname(X21)
=> ~ hBOOL(hAPP_pname_bool(X14,X21)) ) ),
inference(fof_simplification,[status(thm)],[fact_154_empty__Collect__eq]) ).
fof(i_0_617,plain,
! [X14] :
( collec488126193l_bool(X14) = bot_bo1761158942l_bool
<=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_140_Collect__empty__eq]) ).
fof(i_0_618,plain,
! [X14] :
( bot_bo1761158942l_bool = collec488126193l_bool(X14)
<=> ! [X21] : ~ hBOOL(hAPP_f166538662l_bool(X14,X21)) ),
inference(fof_simplification,[status(thm)],[fact_150_empty__Collect__eq]) ).
fof(i_0_619,plain,
! [X33] :
( ~ hBOOL(hAPP_bool_bool(fNot,X33))
| ~ hBOOL(X33) ),
inference(fof_simplification,[status(thm)],[help_fNot_1_1_U]) ).
fof(i_0_620,plain,
! [X1384,X1385,X1386] :
( ( bot_bo535777328l_bool != collec1823980261e_bool(X1384)
| ~ hBOOL(hAPP_f971112728l_bool(X1384,X1385)) )
& ( hBOOL(hAPP_f971112728l_bool(X1386,esk9_1(X1386)))
| bot_bo535777328l_bool = collec1823980261e_bool(X1386) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_448])])])])]) ).
fof(i_0_621,plain,
! [X1392,X1393,X1394] :
( ( bot_bo620288102e_bool != collec307967673_state(X1392)
| ~ hBOOL(hAPP_H78829294e_bool(X1392,X1393)) )
& ( hBOOL(hAPP_H78829294e_bool(X1394,esk11_1(X1394)))
| bot_bo620288102e_bool = collec307967673_state(X1394) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_449])])])])]) ).
fof(i_0_622,plain,
! [X1356,X1357,X1358] :
( ( collec1823980261e_bool(X1356) != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f971112728l_bool(X1356,X1357)) )
& ( hBOOL(hAPP_f971112728l_bool(X1358,esk3_1(X1358)))
| collec1823980261e_bool(X1358) = bot_bo535777328l_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)],[i_0_450])])])])]) ).
fof(i_0_623,plain,
! [X1364,X1365,X1366] :
( ( collec307967673_state(X1364) != bot_bo620288102e_bool
| ~ hBOOL(hAPP_H78829294e_bool(X1364,X1365)) )
& ( hBOOL(hAPP_H78829294e_bool(X1366,esk5_1(X1366)))
| collec307967673_state(X1366) = bot_bo620288102e_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)],[i_0_451])])])])]) ).
cnf(i_0_624,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1)),bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1)),X2)),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))),bot_bo620288102e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_452]) ).
cnf(i_0_625,plain,
insert1415133716_state(X1,X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),
inference(rw,[status(thm)],[i_0_453,c_0_454]) ).
cnf(i_0_626,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,insert1325755072e_bool(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]) ).
cnf(i_0_627,plain,
insert1325755072e_bool(X1,X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))),
inference(split_conjunct,[status(thm)],[i_0_456]) ).
cnf(i_0_628,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,insert_pname(esk25_3(X1,X2,X3),esk26_3(X1,X2,X3))))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]) ).
cnf(i_0_629,plain,
insert_pname(X1,X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),
inference(split_conjunct,[status(thm)],[i_0_458]) ).
cnf(i_0_630,plain,
( X1 = X2
| X1 = X3
| insert_pname(X1,insert_pname(X4,bot_bo844097828e_bool)) != insert_pname(X3,insert_pname(X2,bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_459]) ).
cnf(i_0_631,plain,
( X1 = X2
| X1 = X3
| insert_pname(X4,insert_pname(X1,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X3,bot_bo844097828e_bool))
| ~ is_pname(X4)
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X3) ),
inference(split_conjunct,[status(thm)],[i_0_459]) ).
cnf(i_0_632,plain,
( X1 = X2
| X3 = X2
| insert_pname(X1,insert_pname(X3,bot_bo844097828e_bool)) != insert_pname(X4,insert_pname(X2,bot_bo844097828e_bool))
| ~ is_pname(X1)
| ~ is_pname(X3)
| ~ is_pname(X4)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_459]) ).
cnf(i_0_633,plain,
( X1 = X2
| X3 = X2
| insert_pname(X3,insert_pname(X1,bot_bo844097828e_bool)) != insert_pname(X2,insert_pname(X4,bot_bo844097828e_bool))
| ~ is_pname(X3)
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X4) ),
inference(split_conjunct,[status(thm)],[i_0_459]) ).
cnf(i_0_634,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2),bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X2,X1))),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X2))
| ~ hBOOL(hoare_165779456gleton) ),
inference(split_conjunct,[status(thm)],[i_0_460]) ).
cnf(i_0_635,plain,
( hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(X1,insert1556680138e_bool(esk31_3(X1,X2,X3),esk32_3(X1,X2,X3))))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_461]) ).
cnf(i_0_636,plain,
insert1556680138e_bool(X1,X2) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2)),
inference(rw,[status(thm)],[i_0_462,c_0_463]) ).
cnf(i_0_637,plain,
( hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(X1,insert1415133716_state(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_464]) ).
cnf(i_0_638,plain,
insert_pname(X1,insert_pname(X2,X3)) = insert_pname(X2,insert_pname(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_465]) ).
cnf(i_0_639,plain,
( insert_pname(X1,insert_pname(X3,bot_bo844097828e_bool)) = insert_pname(X4,insert_pname(X2,bot_bo844097828e_bool))
| X1 != X2
| X3 != X4
| ~ is_pname(X1)
| ~ is_pname(X3)
| ~ is_pname(X4)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_459]) ).
cnf(i_0_640,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X3,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_466]) ).
cnf(i_0_641,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X3)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_466]) ).
cnf(i_0_642,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X3,X1)),insert_pname(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_467]) ).
cnf(i_0_643,plain,
insert_pname(X1,insert_pname(X1,X2)) = insert_pname(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_468]) ).
cnf(i_0_644,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X3)),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_466]) ).
cnf(i_0_645,plain,
( X1 = X2
| X1 = X3
| insert1415133716_state(X1,insert1415133716_state(X4,bot_bo620288102e_bool)) != insert1415133716_state(X3,insert1415133716_state(X2,bot_bo620288102e_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_469]) ).
cnf(i_0_646,plain,
( X1 = X2
| X1 = X3
| insert1415133716_state(X4,insert1415133716_state(X1,bot_bo620288102e_bool)) != insert1415133716_state(X2,insert1415133716_state(X3,bot_bo620288102e_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_469]) ).
cnf(i_0_647,plain,
( X1 = X2
| X3 = X2
| insert1415133716_state(X1,insert1415133716_state(X3,bot_bo620288102e_bool)) != insert1415133716_state(X4,insert1415133716_state(X2,bot_bo620288102e_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_469]) ).
cnf(i_0_648,plain,
( X1 = X2
| X3 = X2
| insert1415133716_state(X3,insert1415133716_state(X1,bot_bo620288102e_bool)) != insert1415133716_state(X2,insert1415133716_state(X4,bot_bo620288102e_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_469]) ).
cnf(i_0_649,plain,
( X1 = bot_bo1649642514l_bool
| X1 = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),insert1325755072e_bool(X2,bot_bo1649642514l_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_470]) ).
cnf(i_0_650,plain,
( X1 = bot_bo844097828e_bool
| X1 = insert_pname(X2,bot_bo844097828e_bool)
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_471]) ).
cnf(i_0_651,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_472]) ).
cnf(i_0_652,plain,
( X1 = X2
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_473]) ).
cnf(i_0_653,plain,
( X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_474]) ).
cnf(i_0_654,plain,
( X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_475]) ).
cnf(i_0_655,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X3)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_476]) ).
cnf(i_0_656,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X3,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_476]) ).
cnf(i_0_657,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(split_conjunct,[status(thm)],[i_0_477]) ).
cnf(i_0_658,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X3,X1)),insert1415133716_state(X3,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_478]) ).
cnf(i_0_659,plain,
( X1 = X2
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_479]) ).
cnf(i_0_660,plain,
( X1 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_480]) ).
cnf(i_0_661,plain,
( X1 = X3
| hBOOL(hAPP_pname_bool(X2,X3))
| ~ hBOOL(hAPP_pname_bool(insert_pname(X1,X2),X3))
| ~ is_pname(X1)
| ~ is_pname(X3) ),
inference(split_conjunct,[status(thm)],[i_0_481]) ).
cnf(i_0_662,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_482]) ).
cnf(i_0_663,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_483]) ).
cnf(i_0_664,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_484]) ).
cnf(i_0_665,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_485]) ).
cnf(i_0_666,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,insert1415133716_state(X1,X3)),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_476]) ).
cnf(i_0_667,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X3,X2)))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_472]) ).
cnf(i_0_668,plain,
insert1415133716_state(X1,insert1415133716_state(X2,X3)) = insert1415133716_state(X2,insert1415133716_state(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_486]) ).
cnf(i_0_669,plain,
( insert1415133716_state(X1,insert1415133716_state(X3,bot_bo620288102e_bool)) = insert1415133716_state(X4,insert1415133716_state(X2,bot_bo620288102e_bool))
| X1 != X2
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[i_0_469]) ).
cnf(i_0_670,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ is_pname(X1)
| ~ is_pname(X3) ),
inference(split_conjunct,[status(thm)],[i_0_474]) ).
cnf(i_0_671,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X3,X2)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_487]) ).
cnf(i_0_672,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_488]) ).
cnf(i_0_673,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_489]) ).
cnf(i_0_674,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_490]) ).
cnf(i_0_675,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
| X1 != X2
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_474]) ).
cnf(i_0_676,plain,
( hBOOL(hAPP_pname_bool(insert_pname(X3,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X1,X2))
| ~ is_pname(X3)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_481]) ).
cnf(i_0_677,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),insert1325755072e_bool(X2,X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_487]) ).
cnf(i_0_678,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_490]) ).
cnf(i_0_679,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X1))),
inference(split_conjunct,[status(thm)],[i_0_491]) ).
cnf(i_0_680,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X1,X2))),
inference(split_conjunct,[status(thm)],[i_0_492]) ).
cnf(i_0_681,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_482]) ).
cnf(i_0_682,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_493]) ).
cnf(i_0_683,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_483]) ).
cnf(i_0_684,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_494]) ).
cnf(i_0_685,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))
| X1 != X2
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_479]) ).
cnf(i_0_686,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X1,X2)),dom_pname_com(body)))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1))
| ~ hBOOL(hoare_165779456gleton) ),
inference(split_conjunct,[status(thm)],[i_0_460]) ).
cnf(i_0_687,plain,
( hBOOL(hAPP_pname_bool(insert_pname(X1,X3),X2))
| X1 != X2
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_481]) ).
cnf(i_0_688,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_495]) ).
cnf(i_0_689,plain,
( X1 = bot_bo535777328l_bool
| X1 = insert1556680138e_bool(X2,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),insert1556680138e_bool(X2,bot_bo535777328l_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_496]) ).
cnf(i_0_690,plain,
( X1 = bot_bo620288102e_bool
| X1 = insert1415133716_state(X2,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_497]) ).
cnf(i_0_691,plain,
( X1 = X2
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_498]) ).
cnf(i_0_692,plain,
( X1 = X2
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_499]) ).
cnf(i_0_693,plain,
( X1 = X2
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_500]) ).
cnf(i_0_694,plain,
( X2 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| insert_pname(X1,X2) != insert_pname(X1,X3)
| ~ is_fun_pname_bool(X3)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_501]) ).
cnf(i_0_695,plain,
( is_pname(esk23_2(X1,X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1))
| ~ hBOOL(hoare_165779456gleton) ),
inference(split_conjunct,[status(thm)],[i_0_460]) ).
cnf(i_0_696,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_502]) ).
cnf(i_0_697,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(X3,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_485]) ).
cnf(i_0_698,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_503]) ).
cnf(i_0_699,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool))) ),
inference(split_conjunct,[status(thm)],[i_0_504]) ).
cnf(i_0_700,plain,
( X1 = X3
| hBOOL(hAPP_H78829294e_bool(X2,X3))
| ~ hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_505]) ).
cnf(i_0_701,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_506]) ).
cnf(i_0_702,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X1,X2))) ),
inference(split_conjunct,[status(thm)],[i_0_507]) ).
cnf(i_0_703,plain,
( X1 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| insert_pname(X1,bot_bo844097828e_bool) != insert_pname(X2,bot_bo844097828e_bool) ),
inference(split_conjunct,[status(thm)],[i_0_508]) ).
cnf(i_0_704,plain,
image_2003357581_state(X1,insert_pname(X2,X3)) = insert1415133716_state(hAPP_p1422361149_state(X1,X2),image_2003357581_state(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_509]) ).
cnf(i_0_705,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X3,X2)))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_495]) ).
cnf(i_0_706,plain,
insert1415133716_state(X1,insert1415133716_state(X1,X2)) = insert1415133716_state(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_510]) ).
fof(i_0_707,plain,
! [X1735,X1736,X1737] :
( ( is_fun_pname_bool(esk36_3(X1735,X1736,X1737))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1737),image_2003357581_state(X1735,X1736)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1737)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk36_3(X1735,X1736,X1737)),X1736))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1737),image_2003357581_state(X1735,X1736)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1737)) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk36_3(X1735,X1736,X1737)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1737),image_2003357581_state(X1735,X1736)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1737)) )
& ( X1737 = image_2003357581_state(X1735,esk36_3(X1735,X1736,X1737))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1737),image_2003357581_state(X1735,X1736)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1737)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_finite__subset__image])])])]) ).
cnf(i_0_708,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X3,X2)))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_511]) ).
cnf(i_0_709,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_499]) ).
cnf(i_0_710,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_512]) ).
cnf(i_0_711,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X3,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_513]) ).
cnf(i_0_712,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X3,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_514]) ).
cnf(i_0_713,plain,
insert1325755072e_bool(X1,collec1974731493e_bool(X2)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)),
inference(split_conjunct,[status(thm)],[i_0_515]) ).
cnf(i_0_714,plain,
insert_pname(X1,collect_pname(X2)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)),
inference(split_conjunct,[status(thm)],[i_0_516]) ).
fof(i_0_715,plain,
! [X1663,X1664,X1665,X1667,X1668,X1669,X1670] :
( ( is_fun_pname_bool(esk22_3(X1663,X1664,X1665))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1663),image_2003357581_state(X1664,X1665))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk22_3(X1663,X1664,X1665)),X1665))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1663),image_2003357581_state(X1664,X1665))) )
& ( X1663 = image_2003357581_state(X1664,esk22_3(X1663,X1664,X1665))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1663),image_2003357581_state(X1664,X1665))) )
& ( ~ is_fun_pname_bool(X1670)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1670),X1669))
| X1667 != image_2003357581_state(X1668,X1670)
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1667),image_2003357581_state(X1668,X1669))) ) ),
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)],[fact_269_subset__image__iff])])])])])]) ).
fof(i_0_716,plain,
! [X1703,X1704,X1705] :
( ( is_pname(esk24_3(X1703,X1704,X1705))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1703),image_2003357581_state(X1704,X1705))) )
& ( X1703 = hAPP_p1422361149_state(X1704,esk24_3(X1703,X1704,X1705))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1703),image_2003357581_state(X1704,X1705))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X1703,X1704,X1705)),X1705))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1703),image_2003357581_state(X1704,X1705))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_517])])])]) ).
fof(i_0_717,plain,
! [X1535,X1536,X1537,X1539,X1540,X1541,X1542] :
( ( is_pname(esk21_3(X1535,X1536,X1537))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1535),image_2003357581_state(X1536,X1537))) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk21_3(X1535,X1536,X1537)),X1537))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1535),image_2003357581_state(X1536,X1537))) )
& ( X1535 = hAPP_p1422361149_state(X1536,esk21_3(X1535,X1536,X1537))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1535),image_2003357581_state(X1536,X1537))) )
& ( ~ is_pname(X1542)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1542),X1541))
| X1539 != hAPP_p1422361149_state(X1540,X1542)
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1539),image_2003357581_state(X1540,X1541))) ) ),
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)],[fact_212_image__iff])])])])])]) ).
cnf(i_0_718,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),insert1556680138e_bool(X2,X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_511]) ).
cnf(i_0_719,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_499]) ).
cnf(i_0_720,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,X3)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_513]) ).
cnf(i_0_721,plain,
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X3,X1),X2))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_505]) ).
cnf(i_0_722,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X1,X2))),
inference(split_conjunct,[status(thm)],[i_0_518]) ).
cnf(i_0_723,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),insert1415133716_state(X2,X1))),
inference(split_conjunct,[status(thm)],[i_0_519]) ).
cnf(i_0_724,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_506]) ).
cnf(i_0_725,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,insert1556680138e_bool(X2,X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_520]) ).
cnf(i_0_726,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_507]) ).
cnf(i_0_727,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,insert1415133716_state(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_521]) ).
cnf(i_0_728,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),insert1415133716_state(X2,bot_bo620288102e_bool)))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_503]) ).
cnf(i_0_729,plain,
( X2 = X3
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| insert1415133716_state(X1,X2) != insert1415133716_state(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_522]) ).
cnf(i_0_730,plain,
( hBOOL(hAPP_H78829294e_bool(insert1415133716_state(X1,X3),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_505]) ).
cnf(i_0_731,plain,
( is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))
| ~ is_fun_pname_bool(X1)
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_523]) ).
cnf(i_0_732,plain,
( is_fun_pname_bool(insert_pname(X1,X2))
| ~ is_pname(X1)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_524]) ).
fof(i_0_733,plain,
! [X1547,X1548] :
( ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1547)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1547),X1548)))) )
& ( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1548)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1547),X1548)))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1547)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1548)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1547),X1548)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_finite__Collect__disjI])])]) ).
fof(i_0_734,plain,
! [X1543,X1544] :
( ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1543)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1543),X1544)))) )
& ( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1544)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1543),X1544)))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1543)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1544)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1543),X1544)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_213_finite__Collect__disjI])])]) ).
cnf(i_0_735,plain,
( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1)) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_525]) ).
cnf(i_0_736,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1)) = insert_pname(X2,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_526]) ).
cnf(i_0_737,plain,
( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1)) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_527]) ).
cnf(i_0_738,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1)) = insert_pname(X2,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_528]) ).
cnf(i_0_739,plain,
( insert1415133716_state(hAPP_p1422361149_state(X3,X1),image_2003357581_state(X3,X2)) = image_2003357581_state(X3,X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_529]) ).
cnf(i_0_740,plain,
insert_pname(X1,X2) != bot_bo844097828e_bool,
inference(split_conjunct,[status(thm)],[i_0_530]) ).
cnf(i_0_741,plain,
bot_bo844097828e_bool != insert_pname(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_531]) ).
cnf(i_0_742,plain,
( X1 = X2
| insert1415133716_state(X1,bot_bo620288102e_bool) != insert1415133716_state(X2,bot_bo620288102e_bool) ),
inference(split_conjunct,[status(thm)],[i_0_532]) ).
cnf(i_0_743,plain,
( image_187965177_pname(cOMBK_1589414042e_bool(X3),X2) = insert_pname(X3,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_533]) ).
cnf(i_0_744,plain,
( image_1283814551_pname(cOMBK_948730864e_bool(X3),X2) = insert_pname(X3,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_534]) ).
cnf(i_0_745,plain,
( image_2131964411e_bool(cOMBK_2035509764_state(X3),X2) = insert1325755072e_bool(X3,bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_535]) ).
cnf(i_0_746,plain,
( image_54689091_pname(cOMBK_168215364_state(X3),X2) = insert_pname(X3,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_536]) ).
cnf(i_0_747,plain,
( image_47868345e_bool(cOMBK_37193422_pname(X3),X2) = insert1325755072e_bool(X3,bot_bo1649642514l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_537]) ).
cnf(i_0_748,plain,
( image_pname_pname(cOMBK_pname_pname(X3),X2) = insert_pname(X3,bot_bo844097828e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_538]) ).
cnf(i_0_749,plain,
( insert_pname(X2,X1) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_539]) ).
fof(i_0_750,plain,
! [X1112,X1113] :
( ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1113)))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1113),X1112)))) )
& ( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1112)))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1113),X1112)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_52_finite__Collect__conjI])])]) ).
fof(i_0_751,plain,
! [X1110,X1111] :
( ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1111)))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1111),X1110)))) )
& ( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1110)))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1111),X1110)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_51_finite__Collect__conjI])])]) ).
fof(i_0_752,plain,
! [X1116,X1117] :
( ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1117)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1117),X1116)))) )
& ( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1116)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1117),X1116)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_finite__Collect__conjI])])]) ).
fof(i_0_753,plain,
! [X1106,X1107] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1107)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1107),X1106)))) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1106)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1107),X1106)))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_49_finite__Collect__conjI])])]) ).
fof(i_0_754,plain,
! [X1732,X1733] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X1732,X1733)),X1733))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1733),X1732)) )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X1732,X1733)),X1732))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1733),X1732)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_296_subsetI])])])]) ).
fof(i_0_755,plain,
! [X1729,X1730] :
( ( is_pname(esk34_2(X1729,X1730))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1730),X1729)) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X1729,X1730)),X1730))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1730),X1729)) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X1729,X1730)),X1729))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1730),X1729)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_295_subsetI])])])]) ).
fof(i_0_756,plain,
! [X1532,X1533,X1534] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1533),X1534))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1532,X1533)),image_2003357581_state(X1532,X1534))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_211_imageI])]) ).
fof(i_0_757,plain,
! [X1660,X1661,X1662] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1661),X1662))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1660,X1661)),image_2003357581_state(X1660,X1662))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_268_image__mono])]) ).
cnf(i_0_758,plain,
insert1556680138e_bool(X1,collec1823980261e_bool(X2)) = collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1))),X2)),
inference(split_conjunct,[status(thm)],[i_0_540]) ).
cnf(i_0_759,plain,
insert1415133716_state(X1,collec307967673_state(X2)) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2)),
inference(split_conjunct,[status(thm)],[i_0_541]) ).
cnf(i_0_760,plain,
( insert1325755072e_bool(X2,dom_fu2081503504ol_com(X1)) = dom_fu2081503504ol_com(X1)
| hAPP_f2138803836on_com(X1,X2) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[i_0_542]) ).
cnf(i_0_761,plain,
( insert_pname(X2,dom_pname_com(X1)) = dom_pname_com(X1)
| hAPP_p799580910on_com(X1,X2) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[i_0_543]) ).
fof(i_0_762,plain,
! [X1290,X1291,X1292] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1291),X1292))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1290),X1291))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1290),X1292)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_122_subsetD])]) ).
fof(i_0_763,plain,
! [X1287,X1288,X1289] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1288),X1289))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1287),X1288))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1287),X1289)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_121_subsetD])]) ).
fof(i_0_764,plain,
! [X1505,X1506,X1507] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1506),X1507))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1507),X1505))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1506),X1505)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_199_set__rev__mp])]) ).
fof(i_0_765,plain,
! [X1511,X1512,X1513] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1512),X1513))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1511),X1512))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1511),X1513)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_201_in__mono])]) ).
fof(i_0_766,plain,
! [X1499,X1500,X1501] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1500),X1501))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1499),X1500))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1499),X1501)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_197_set__mp])]) ).
fof(i_0_767,plain,
! [X1284,X1285,X1286] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1285),X1286))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1284),X1285))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1284),X1286)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_120_subsetD])]) ).
fof(i_0_768,plain,
! [X1493,X1494,X1495] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1494),X1495))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1495),X1493))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1494),X1493)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_195_subset__trans])]) ).
fof(i_0_769,plain,
! [X1490,X1491,X1492] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1491),X1492))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1492),X1490))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1491),X1490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_194_subset__trans])]) ).
fof(i_0_770,plain,
! [X1502,X1503,X1504] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1503),X1504))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1504),X1502))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1503),X1502)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_198_set__rev__mp])]) ).
fof(i_0_771,plain,
! [X1508,X1509,X1510] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1509),X1510))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1508),X1509))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1508),X1510)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_200_in__mono])]) ).
fof(i_0_772,plain,
! [X1496,X1497,X1498] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1497),X1498))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1496),X1497))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1496),X1498)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_196_set__mp])]) ).
fof(i_0_773,plain,
! [X1293,X1294,X1295] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1294),X1295))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1293),X1294))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1293),X1295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_123_subsetD])]) ).
cnf(i_0_774,plain,
collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[i_0_544]) ).
cnf(i_0_775,plain,
collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)) = insert_pname(X1,bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[i_0_545]) ).
cnf(i_0_776,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_546]) ).
cnf(i_0_777,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X2),X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_546]) ).
cnf(i_0_778,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_547]) ).
cnf(i_0_779,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X2),X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_547]) ).
cnf(i_0_780,plain,
( X1 = bot_bo1649642514l_bool
| image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_548]) ).
cnf(i_0_781,plain,
( X1 = bot_bo844097828e_bool
| image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_549]) ).
cnf(i_0_782,plain,
( X1 = bot_bo844097828e_bool
| image_pname_pname(cOMBK_pname_pname(X2),X1) = insert_pname(X2,bot_bo844097828e_bool)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_550]) ).
cnf(i_0_783,plain,
collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = insert1325755072e_bool(X1,bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[i_0_551]) ).
cnf(i_0_784,plain,
collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)) = insert_pname(X1,bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[i_0_552]) ).
cnf(i_0_785,plain,
( X1 = bot_bo535777328l_bool
| image_187965177_pname(cOMBK_1589414042e_bool(X2),X1) = insert_pname(X2,bot_bo844097828e_bool) ),
inference(split_conjunct,[status(thm)],[i_0_553]) ).
cnf(i_0_786,plain,
( X1 = bot_bo620288102e_bool
| image_2131964411e_bool(cOMBK_2035509764_state(X2),X1) = insert1325755072e_bool(X2,bot_bo1649642514l_bool) ),
inference(split_conjunct,[status(thm)],[i_0_554]) ).
cnf(i_0_787,plain,
( X1 = bot_bo620288102e_bool
| image_54689091_pname(cOMBK_168215364_state(X2),X1) = insert_pname(X2,bot_bo844097828e_bool) ),
inference(split_conjunct,[status(thm)],[i_0_555]) ).
cnf(i_0_788,plain,
( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),X1)) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_556]) ).
cnf(i_0_789,plain,
( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),X1)) = insert1415133716_state(X2,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_557]) ).
fof(i_0_790,plain,
! [X1227,X1228,X1229] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1229))
| ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1227),image_1761575943l_bool(X1228,X1229)))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1227)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_95_finite__surj])]) ).
fof(i_0_791,plain,
! [X1212,X1213,X1214] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1214))
| ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X1212),image_288317893l_bool(X1213,X1214)))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1212)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_90_finite__surj])]) ).
fof(i_0_792,plain,
! [X1224,X1225,X1226] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1226))
| ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1224),image_1210605179l_bool(X1225,X1226)))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1224)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_94_finite__surj])]) ).
fof(i_0_793,plain,
! [X1209,X1210,X1211] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1211))
| ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X1209),image_1642285373l_bool(X1210,X1211)))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1209)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_89_finite__surj])]) ).
fof(i_0_794,plain,
! [X1233,X1234,X1235] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1235))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1233),image_1828608335e_bool(X1234,X1235)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1233)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_97_finite__surj])]) ).
fof(i_0_795,plain,
! [X1218,X1219,X1220] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1220))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1218),image_70449425e_bool(X1219,X1220)))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_finite__surj])]) ).
fof(i_0_796,plain,
! [X1236,X1237,X1238] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1238))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1236),image_2131964411e_bool(X1237,X1238)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1236)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_finite__surj])]) ).
fof(i_0_797,plain,
! [X1221,X1222,X1223] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1223))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1221),image_47868345e_bool(X1222,X1223)))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1221)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_93_finite__surj])]) ).
fof(i_0_798,plain,
! [X1200,X1201,X1202] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1202))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1200),image_892968839_state(X1201,X1202)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1200)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_86_finite__surj])]) ).
fof(i_0_799,plain,
! [X1197,X1198,X1199] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1199))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1197),image_677922117_state(X1198,X1199)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1197)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_85_finite__surj])]) ).
fof(i_0_800,plain,
! [X1203,X1204,X1205] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1205))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1203),image_18964633_state(X1204,X1205)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1203)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_87_finite__surj])]) ).
fof(i_0_801,plain,
! [X1206,X1207,X1208] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1208))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1206),image_516545147_state(X1207,X1208)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1206)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_88_finite__surj])]) ).
fof(i_0_802,plain,
! [X1182,X1183,X1184] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1184))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1182),image_2003357581_state(X1183,X1184)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1182)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_80_finite__surj])]) ).
fof(i_0_803,plain,
! [X1188,X1189,X1190] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1190))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1188),image_1619336331_pname(X1189,X1190)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1188)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_finite__surj])]) ).
fof(i_0_804,plain,
! [X1185,X1186,X1187] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1187))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1185),image_1705983821_pname(X1186,X1187)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1185)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_81_finite__surj])]) ).
fof(i_0_805,plain,
! [X1191,X1192,X1193] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1193))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1191),image_187965177_pname(X1192,X1193)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_83_finite__surj])]) ).
fof(i_0_806,plain,
! [X1194,X1195,X1196] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1196))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1194),image_1283814551_pname(X1195,X1196)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1194)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_84_finite__surj])]) ).
fof(i_0_807,plain,
! [X1230,X1231,X1232] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1232))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1230),image_54689091_pname(X1231,X1232)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1230)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_96_finite__surj])]) ).
fof(i_0_808,plain,
! [X1215,X1216,X1217] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1217))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1215),image_pname_pname(X1216,X1217)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1215)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_91_finite__surj])]) ).
fof(i_0_809,plain,
! [X1300,X1301,X1302,X1303] :
( X1301 != hAPP_H1049623551e_bool(X1302,X1303)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1303),X1300))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1301),image_1828608335e_bool(X1302,X1300))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_125_image__eqI])]) ).
fof(i_0_810,plain,
! [X1308,X1309,X1310,X1311] :
( X1309 != hAPP_p442853985e_bool(X1310,X1311)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1311),X1308))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1309),image_70449425e_bool(X1310,X1308))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_127_image__eqI])]) ).
fof(i_0_811,plain,
! [X1296,X1297,X1298,X1299] :
( X1297 != hAPP_H356885323e_bool(X1298,X1299)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1299),X1296))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1297),image_2131964411e_bool(X1298,X1296))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_124_image__eqI])]) ).
fof(i_0_812,plain,
! [X1304,X1305,X1306,X1307] :
( X1305 != hAPP_p61793385e_bool(X1306,X1307)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1307),X1304))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1305),image_47868345e_bool(X1306,X1304))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_126_image__eqI])]) ).
fof(i_0_813,plain,
! [X1312,X1313,X1314,X1315] :
( X1313 != hAPP_f888949707_state(X1314,X1315)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1315),X1312))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1313),image_516545147_state(X1314,X1312))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_128_image__eqI])]) ).
fof(i_0_814,plain,
! [X1316,X1317,X1318,X1319] :
( X1317 != hAPP_f1387463497_state(X1318,X1319)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1319),X1316))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1317),image_18964633_state(X1318,X1316))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_image__eqI])]) ).
fof(i_0_815,plain,
! [X1336,X1337,X1338,X1339] :
( X1337 != hAPP_p1422361149_state(X1338,X1339)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1339),X1336))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1337),image_2003357581_state(X1338,X1336))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_134_image__eqI])]) ).
fof(i_0_816,plain,
! [X1528,X1529,X1530,X1531] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1530),X1531))
| X1528 != hAPP_p1422361149_state(X1529,X1530)
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1528),image_2003357581_state(X1529,X1531))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_210_rev__image__eqI])]) ).
fof(i_0_817,plain,
! [X1332,X1333,X1334,X1335] :
( X1333 != hAPP_f560369737_pname(X1334,X1335)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1335),X1332))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1333),image_187965177_pname(X1334,X1332))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_133_image__eqI])]) ).
fof(i_0_818,plain,
! [X1328,X1329,X1330,X1331] :
( X1329 != hAPP_f1297739591_pname(X1330,X1331)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1331),X1328))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1329),image_1283814551_pname(X1330,X1328))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_132_image__eqI])]) ).
fof(i_0_819,plain,
! [X1320,X1321,X1322,X1323] :
( X1321 != hAPP_H1621176307_pname(X1322,X1323)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1323),X1320))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1321),image_54689091_pname(X1322,X1320))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_130_image__eqI])]) ).
fof(i_0_820,plain,
! [X1324,X1325,X1326,X1327] :
( X1325 != hAPP_pname_pname(X1326,X1327)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1327),X1324))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1325),image_pname_pname(X1326,X1324))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_131_image__eqI])]) ).
cnf(i_0_821,plain,
( image_1828608335e_bool(cOMBK_1039769424_state(X3),X2) = insert1556680138e_bool(X3,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_558]) ).
cnf(i_0_822,plain,
( image_70449425e_bool(cOMBK_1706929794_pname(X3),X2) = insert1556680138e_bool(X3,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_559]) ).
cnf(i_0_823,plain,
( image_516545147_state(cOMBK_1503445380e_bool(X3),X2) = insert1415133716_state(X3,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_560]) ).
cnf(i_0_824,plain,
( image_18964633_state(cOMBK_701929478e_bool(X3),X2) = insert1415133716_state(X3,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_561]) ).
cnf(i_0_825,plain,
( image_2003357581_state(cOMBK_367030522_pname(X3),X2) = insert1415133716_state(X3,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_562]) ).
cnf(i_0_826,plain,
( collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X2)),X1)) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_563]) ).
cnf(i_0_827,plain,
( collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X2)),X1)) = insert1415133716_state(X2,bot_bo620288102e_bool)
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_564]) ).
cnf(i_0_828,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_546]) ).
cnf(i_0_829,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_547]) ).
fof(i_0_830,plain,
! [X1278,X1279] :
( ~ is_fun1661590463l_bool(X1278)
| ~ is_fun1661590463l_bool(X1279)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1278),X1279))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1279),X1278))
| X1278 = X1279 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_117_equalityI])]) ).
fof(i_0_831,plain,
! [X1522,X1523] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1522),X1523))
| X1522 != X1523
| ~ is_fun_pname_bool(X1522)
| ~ is_fun_pname_bool(X1523) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1523),X1522))
| X1522 != X1523
| ~ is_fun_pname_bool(X1522)
| ~ is_fun_pname_bool(X1523) )
& ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1522),X1523))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1523),X1522))
| X1522 = X1523
| ~ is_fun_pname_bool(X1522)
| ~ is_fun_pname_bool(X1523) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_206_set__eq__subset])])]) ).
fof(i_0_832,plain,
! [X1282,X1283] :
( ~ is_fun_pname_bool(X1282)
| ~ is_fun_pname_bool(X1283)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1282),X1283))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1283),X1282))
| X1282 = X1283 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_119_equalityI])]) ).
cnf(i_0_833,plain,
( insert1415133716_state(X1,X2) = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_565]) ).
fof(i_0_834,plain,
! [X1280,X1281] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1280),X1281))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1281),X1280))
| X1280 = X1281 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_118_equalityI])]) ).
fof(i_0_835,plain,
! [X1524,X1525] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1524),X1525))
| X1524 != X1525 )
& ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1525),X1524))
| X1524 != X1525 )
& ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1524),X1525))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1525),X1524))
| X1524 = X1525 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_207_set__eq__subset])])]) ).
fof(i_0_836,plain,
! [X1276,X1277] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1276),X1277))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1277),X1276))
| X1276 = X1277 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_116_equalityI])]) ).
fof(i_0_837,hypothesis,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
inference(fof_simplification,[status(thm)],[conj_3]) ).
fof(i_0_838,plain,
! [X1029,X1030,X1031] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1030),X1031))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1029),X1031))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1030),X1029)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_weaken])]) ).
fof(i_0_839,plain,
! [X1032,X1033,X1034] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1033),X1034))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1033),X1032))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1032),X1034)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_thin])]) ).
cnf(i_0_840,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_566]) ).
cnf(i_0_841,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X2),X1))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_566]) ).
cnf(i_0_842,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_567]) ).
cnf(i_0_843,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X2),X1))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,collec307967673_state(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_567]) ).
fof(i_0_844,plain,
! [X1049] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1049))
| hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1049)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11_finite__Collect__subsets])]) ).
fof(i_0_845,plain,
! [X1048] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1048))
| hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1048)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_10_finite__Collect__subsets])]) ).
fof(i_0_846,plain,
! [X1050] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1050))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1050)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_finite__Collect__subsets])]) ).
fof(i_0_847,plain,
! [X1051] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1051))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1051)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_13_finite__Collect__subsets])]) ).
fof(i_0_848,plain,
! [X1046] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1046))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1046)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_finite__Collect__subsets])]) ).
cnf(i_0_849,plain,
insert1415133716_state(X1,X2) != bot_bo620288102e_bool,
inference(split_conjunct,[status(thm)],[i_0_568]) ).
cnf(i_0_850,plain,
bot_bo620288102e_bool != insert1415133716_state(X1,X2),
inference(split_conjunct,[status(thm)],[i_0_569]) ).
fof(i_0_851,plain,
! [X1604,X1605] :
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1604),X1605))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1605))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1604)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_243_finite__subset])]) ).
fof(i_0_852,plain,
! [X1612,X1613] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1613))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1612),X1613))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1612)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_247_rev__finite__subset])]) ).
fof(i_0_853,plain,
! [X1602,X1603] :
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1602),X1603))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1603))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1602)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_242_finite__subset])]) ).
fof(i_0_854,plain,
! [X1610,X1611] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1611))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1610),X1611))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1610)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_246_rev__finite__subset])]) ).
fof(i_0_855,plain,
! [X1608,X1609] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1608),X1609))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1609))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1608)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_245_finite__subset])]) ).
fof(i_0_856,plain,
! [X1616,X1617] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1617))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1616),X1617))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1616)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_249_rev__finite__subset])]) ).
fof(i_0_857,plain,
! [X1606,X1607] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1606),X1607))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1607))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1606)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_244_finite__subset])]) ).
fof(i_0_858,plain,
! [X1614,X1615] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1615))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1614),X1615))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1614)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_248_rev__finite__subset])]) ).
cnf(i_0_859,plain,
( insert1556680138e_bool(X2,dom_fu1342267980ol_com(X1)) = dom_fu1342267980ol_com(X1)
| hAPP_f2134636538on_com(X1,X2) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[i_0_570]) ).
fof(i_0_860,plain,
! [X1035,X1036,X1037] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1036),X1037))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1035),X1036))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1035),X1037)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(i_0_861,plain,
! [X1027,X1028] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1027),X1028))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1028),X1027)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_asm])]) ).
cnf(i_0_862,plain,
( X1 = bot_bo1649642514l_bool
| image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_571]) ).
cnf(i_0_863,plain,
( X1 = bot_bo844097828e_bool
| image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_572]) ).
cnf(i_0_864,plain,
( X1 = bot_bo844097828e_bool
| image_2003357581_state(cOMBK_367030522_pname(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_573]) ).
cnf(i_0_865,plain,
( X1 = bot_bo535777328l_bool
| image_18964633_state(cOMBK_701929478e_bool(X2),X1) = insert1415133716_state(X2,bot_bo620288102e_bool) ),
inference(split_conjunct,[status(thm)],[i_0_574]) ).
cnf(i_0_866,plain,
( X1 = bot_bo620288102e_bool
| image_1828608335e_bool(cOMBK_1039769424_state(X2),X1) = insert1556680138e_bool(X2,bot_bo535777328l_bool) ),
inference(split_conjunct,[status(thm)],[i_0_575]) ).
fof(i_0_867,plain,
! [X1626,X1627] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1626),X1627))
| hBOOL(hAPP_H78829294e_bool(X1627,X1626)) )
& ( ~ hBOOL(hAPP_H78829294e_bool(X1627,X1626))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1626),X1627)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_253_mem__def])]) ).
fof(i_0_868,plain,
! [X1624,X1625] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1624),X1625))
| hBOOL(hAPP_pname_bool(X1625,X1624)) )
& ( ~ hBOOL(hAPP_pname_bool(X1625,X1624))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1624),X1625)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_252_mem__def])]) ).
cnf(i_0_869,plain,
collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[i_0_576]) ).
cnf(i_0_870,plain,
collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
inference(split_conjunct,[status(thm)],[i_0_577]) ).
cnf(i_0_871,plain,
collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X1)) = insert1415133716_state(X1,bot_bo620288102e_bool),
inference(split_conjunct,[status(thm)],[i_0_578]) ).
cnf(i_0_872,plain,
collec1823980261e_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1)) = insert1556680138e_bool(X1,bot_bo535777328l_bool),
inference(split_conjunct,[status(thm)],[i_0_579]) ).
fof(i_0_873,plain,
! [X1414,X1416] :
( ( is_fun_pname_bool(esk17_1(X1414))
| X1414 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1414) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk17_1(X1414)),X1414))
| X1414 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1414) )
& ( X1414 != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1416)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1416),X1414))
| ~ is_fun1661590463l_bool(X1414) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_580])])])])]) ).
fof(i_0_874,plain,
! [X1425,X1427] :
( ( is_pname(esk20_1(X1425))
| X1425 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1425) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk20_1(X1425)),X1425))
| X1425 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1425) )
& ( X1425 != bot_bo844097828e_bool
| ~ is_pname(X1427)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1427),X1425))
| ~ is_fun_pname_bool(X1425) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_581])])])])]) ).
fof(i_0_875,plain,
! [X1400,X1401] :
( ( ~ is_fun_pname_bool(X1401)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1401),X1400))
| X1400 != bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1400) )
& ( is_fun_pname_bool(esk13_1(X1400))
| X1400 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1400) )
& ( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk13_1(X1400)),X1400))
| X1400 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1400) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_155_ex__in__conv])])])])]) ).
fof(i_0_876,plain,
! [X1411,X1412] :
( ( ~ is_pname(X1412)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1412),X1411))
| X1411 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1411) )
& ( is_pname(esk16_1(X1411))
| X1411 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1411) )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_1(X1411)),X1411))
| X1411 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1411) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_158_ex__in__conv])])])])]) ).
fof(i_0_877,plain,
! [X1762,X1763] :
( ~ is_pname(X1762)
| ~ is_pname(X1763)
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1762),X1763))
| X1762 = X1763 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_582])]) ).
fof(i_0_878,plain,
! [X1770,X1771] :
( ~ is_fun_pname_bool(X1770)
| ~ is_fun_pname_bool(X1771)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1770),X1771))
| X1770 = X1771 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_583])]) ).
cnf(i_0_879,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,collec1823980261e_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_584]) ).
cnf(i_0_880,plain,
( hBOOL(hAPP_f971112728l_bool(X1,X2))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),X1)) = bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_556]) ).
cnf(i_0_881,plain,
( hBOOL(hAPP_H78829294e_bool(X1,X2))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),X1)) = bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_557]) ).
fof(i_0_882,plain,
! [X1760,X1761] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1760),X1761))
| ~ hBOOL(X1760)
| hBOOL(X1761) ),
inference(variable_rename,[status(thm)],[i_0_585]) ).
fof(i_0_883,plain,
! [X1753,X1754] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1753),X1754))
| hBOOL(X1753)
| hBOOL(X1754) ),
inference(variable_rename,[status(thm)],[i_0_586]) ).
fof(i_0_884,plain,
! [X1745,X1746] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1745),X1746))
| hBOOL(X1745) ),
inference(variable_rename,[status(thm)],[i_0_587]) ).
fof(i_0_885,plain,
! [X1747,X1748] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1747),X1748))
| hBOOL(X1748) ),
inference(variable_rename,[status(thm)],[i_0_588]) ).
fof(i_0_886,plain,
! [X1595] :
( ( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1595),bot_bo844097828e_bool))
| X1595 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1595) )
& ( X1595 != bot_bo844097828e_bool
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1595),bot_bo844097828e_bool))
| ~ is_fun_pname_bool(X1595) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_237_subset__empty])])]) ).
fof(i_0_887,plain,
! [X1100,X1101] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1101))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X1100,X1101))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_40_finite_OinsertI])]) ).
fof(i_0_888,plain,
! [X1080,X1081] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1081))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X1080,X1081))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_28_finite__imageI])]) ).
fof(i_0_889,plain,
! [X1072,X1073] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1073))
| hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X1072,X1073))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_24_finite__imageI])]) ).
fof(i_0_890,plain,
! [X1098,X1099] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1099))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X1098,X1099))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_39_finite_OinsertI])]) ).
fof(i_0_891,plain,
! [X1078,X1079] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1079))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X1078,X1079))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_27_finite__imageI])]) ).
fof(i_0_892,plain,
! [X1070,X1071] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1071))
| hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X1070,X1071))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23_finite__imageI])]) ).
fof(i_0_893,plain,
! [X1082,X1083] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1083))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X1082,X1083))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_29_finite__imageI])]) ).
fof(i_0_894,plain,
! [X1074,X1075] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1075))
| hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X1074,X1075))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_25_finite__imageI])]) ).
fof(i_0_895,plain,
! [X1084,X1085] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1085))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X1084,X1085))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_30_finite__imageI])]) ).
fof(i_0_896,plain,
! [X1076,X1077] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1077))
| hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1076,X1077))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_26_finite__imageI])]) ).
fof(i_0_897,plain,
! [X1068,X1069] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1069))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1068,X1069))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_22_finite__imageI])]) ).
fof(i_0_898,plain,
! [X1066,X1067] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1067))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1066,X1067))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_21_finite__imageI])]) ).
fof(i_0_899,plain,
! [X1064,X1065] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1065))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1064,X1065))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_20_finite__imageI])]) ).
fof(i_0_900,plain,
! [X1062,X1063] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1063))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1062,X1063))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_finite__imageI])]) ).
fof(i_0_901,plain,
! [X1052,X1053] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1053))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1052,X1053))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_finite__imageI])]) ).
fof(i_0_902,plain,
! [X1056,X1057] :
( ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1057))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1056,X1057))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_16_finite__imageI])]) ).
fof(i_0_903,plain,
! [X1054,X1055] :
( ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1055))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1054,X1055))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_15_finite__imageI])]) ).
fof(i_0_904,plain,
! [X1058,X1059] :
( ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1059))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1058,X1059))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_17_finite__imageI])]) ).
fof(i_0_905,plain,
! [X1060,X1061] :
( ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1061))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1060,X1061))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_18_finite__imageI])]) ).
fof(i_0_906,plain,
! [X1086,X1087] :
( ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1087))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1086,X1087))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_31_finite__imageI])]) ).
fof(i_0_907,plain,
! [X1088,X1089] :
( ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1089))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1088,X1089))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_32_finite__imageI])]) ).
fof(i_0_908,plain,
! [X1417,X1419,X1420] :
( ( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk18_1(X1417)),X1417))
| X1417 = bot_bo535777328l_bool )
& ( X1419 != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1420),X1419)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_589])])])])]) ).
fof(i_0_909,plain,
! [X1342,X1343] :
( X1343 != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1342),X1343)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_590])]) ).
fof(i_0_910,plain,
! [X1421,X1423,X1424] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk19_1(X1421)),X1421))
| X1421 = bot_bo620288102e_bool )
& ( X1423 != bot_bo620288102e_bool
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1424),X1423)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_591])])])])]) ).
fof(i_0_911,plain,
! [X1344,X1345] :
( X1345 != bot_bo620288102e_bool
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1344),X1345)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_592])]) ).
fof(i_0_912,plain,
! [X1340,X1341] :
( X1341 != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1340),X1341)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_593])]) ).
fof(i_0_913,plain,
! [X1346,X1347] :
( X1347 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1346),X1347)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_594])]) ).
fof(i_0_914,plain,
! [X1403,X1404,X1405] :
( ( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1404),X1403))
| X1403 != bot_bo535777328l_bool )
& ( X1405 = bot_bo535777328l_bool
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk14_1(X1405)),X1405)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_ex__in__conv])])])])]) ).
fof(i_0_915,plain,
! [X1407,X1408,X1409] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1408),X1407))
| X1407 != bot_bo620288102e_bool )
& ( X1409 = bot_bo620288102e_bool
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk15_1(X1409)),X1409)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_157_ex__in__conv])])])])]) ).
fof(i_0_916,plain,
! [X1814,X1815] :
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1814),X1815))
| X1814 = X1815 ),
inference(variable_rename,[status(thm)],[i_0_595]) ).
fof(i_0_917,plain,
! [X1789,X1790] :
( ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1789),X1790))
| X1789 = X1790 ),
inference(variable_rename,[status(thm)],[i_0_596]) ).
fof(i_0_918,plain,
! [X1671,X1672,X1673] :
( hAPP_p799580910on_com(X1671,X1672) != some_com(X1673)
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1672),dom_pname_com(X1671))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_270_domI])]) ).
fof(i_0_919,plain,
! [X1596] :
( ( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1596),bot_bo620288102e_bool))
| X1596 = bot_bo620288102e_bool )
& ( X1596 != bot_bo620288102e_bool
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1596),bot_bo620288102e_bool)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_238_subset__empty])]) ).
fof(i_0_920,plain,
! [X1373] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1373),bot_bo535777328l_bool)),
inference(variable_rename,[status(thm)],[i_0_597]) ).
fof(i_0_921,plain,
! [X1250] : ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1250),bot_bo535777328l_bool)),
inference(variable_rename,[status(thm)],[i_0_598]) ).
fof(i_0_922,plain,
! [X1372] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1372),bot_bo1649642514l_bool)),
inference(variable_rename,[status(thm)],[i_0_599]) ).
fof(i_0_923,plain,
! [X1249] : ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1249),bot_bo1649642514l_bool)),
inference(variable_rename,[status(thm)],[i_0_600]) ).
fof(i_0_924,plain,
! [X1374] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1374),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[i_0_601]) ).
fof(i_0_925,plain,
! [X1248] : ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1248),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[i_0_602]) ).
fof(i_0_926,plain,
! [X1375] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1375),bot_bo844097828e_bool)),
inference(variable_rename,[status(thm)],[i_0_603]) ).
fof(i_0_927,plain,
! [X1251] : ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1251),bot_bo844097828e_bool)),
inference(variable_rename,[status(thm)],[i_0_604]) ).
cnf(i_0_928,plain,
( hBOOL(hAPP_f971112728l_bool(X1,X2))
| collec1823980261e_bool(cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X2)),X1)) = bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_563]) ).
cnf(i_0_929,plain,
( hBOOL(hAPP_H78829294e_bool(X1,X2))
| collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X2)),X1)) = bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_564]) ).
fof(i_0_930,plain,
! [X1727] :
( ~ hBOOL(wt(hAPP_pname_com(body_1,X1727)))
| hAPP_p799580910on_com(body,X1727) = some_com(esk33_1(X1727)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_294_WTs__elim__cases_I7_J])])]) ).
fof(i_0_931,plain,
! [X1869,X1870,X1871] : hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1869,X1870),X1871) = hAPP_bool_bool(hAPP_f2143399574l_bool(X1869,X1871),hAPP_f166538662l_bool(X1870,X1871)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__]) ).
fof(i_0_932,plain,
! [X1830,X1831,X1832] : hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X1830,X1831),X1832) = hAPP_bool_bool(hAPP_f32027384l_bool(X1830,X1832),hAPP_f1935102916l_bool(X1831,X1832)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_]) ).
fof(i_0_933,plain,
! [X1852,X1853,X1854] : hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X1852,X1853),X1854) = hAPP_bool_bool(hAPP_f637090980l_bool(X1852,X1854),hAPP_f971112728l_bool(X1853,X1854)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I]) ).
fof(i_0_934,plain,
! [X1802,X1803,X1804] : hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1802,X1803),X1804) = hAPP_bool_bool(hAPP_f1476298914l_bool(X1802,X1804),hAPP_f1664156314l_bool(X1803,X1804)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O]) ).
fof(i_0_935,plain,
! [X1824,X1825,X1826] : hAPP_H78829294e_bool(cOMBS_458705923l_bool(X1824,X1825),X1826) = hAPP_bool_bool(hAPP_H1187982158l_bool(X1824,X1826),hAPP_H78829294e_bool(X1825,X1826)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__]) ).
fof(i_0_936,plain,
! [X1777,X1778,X1779] : hAPP_pname_bool(cOMBS_568398431l_bool(X1777,X1778),X1779) = hAPP_bool_bool(hAPP_p393069232l_bool(X1777,X1779),hAPP_pname_bool(X1778,X1779)),
inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U]) ).
fof(i_0_937,plain,
! [X1897,X1898,X1899] : hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X1897),X1898),X1899) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X1897,X1899),X1898),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfe]) ).
fof(i_0_938,plain,
! [X1888,X1889,X1890] : hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X1888),X1889),X1890) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X1888,X1890),X1889),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo]) ).
fof(i_0_939,plain,
! [X1894,X1895,X1896] : hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X1894),X1895),X1896) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X1894,X1896),X1895),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__]) ).
fof(i_0_940,plain,
! [X1876,X1877,X1878] : hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1876),X1877),X1878) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1876,X1878),X1877),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_]) ).
fof(i_0_941,plain,
! [X1891,X1892,X1893] : hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X1891),X1892),X1893) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X1891,X1893),X1892),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_016]) ).
fof(i_0_942,plain,
! [X1885,X1886,X1887] : hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X1885),X1886),X1887) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X1885,X1887),X1886),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I]) ).
fof(i_0_943,plain,
! [X1858,X1859,X1860] : hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1858),X1859),X1860) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1858,X1860),X1859),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_010]) ).
fof(i_0_944,plain,
! [X1833,X1834,X1835] : hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1833),X1834),X1835) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1833,X1835),X1834),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It]) ).
fof(i_0_945,plain,
! [X1879,X1880,X1881] : hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X1879),X1880),X1881) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X1879,X1881),X1880),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___014]) ).
fof(i_0_946,plain,
! [X1863,X1864,X1865] : hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X1863),X1864),X1865) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X1863,X1865),X1864),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__]) ).
fof(i_0_947,plain,
! [X1805,X1806,X1807] : hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1805),X1806),X1807) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1805,X1807),X1806),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob]) ).
fof(i_0_948,plain,
! [X1780,X1781,X1782] : hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1780),X1781),X1782) = hAPP_pname_bool(hAPP_p61793385e_bool(X1780,X1782),X1781),
inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U]) ).
fof(i_0_949,plain,
! [X1743,X1744] :
( ~ hBOOL(X1744)
| ~ hBOOL(X1743)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1744),X1743)) ),
inference(variable_rename,[status(thm)],[i_0_605]) ).
fof(i_0_950,plain,
! [X1749,X1750] :
( ~ hBOOL(X1750)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1750),X1749)) ),
inference(variable_rename,[status(thm)],[i_0_606]) ).
fof(i_0_951,plain,
! [X1751,X1752] :
( ~ hBOOL(X1752)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1751),X1752)) ),
inference(variable_rename,[status(thm)],[i_0_607]) ).
fof(i_0_952,plain,
! [X1758,X1759] :
( ~ hBOOL(X1759)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1758),X1759)) ),
inference(variable_rename,[status(thm)],[i_0_608]) ).
fof(i_0_953,plain,
! [X1756,X1757] :
( hBOOL(X1757)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1757),X1756)) ),
inference(variable_rename,[status(thm)],[help_fimplies_1_1_U]) ).
fof(i_0_954,plain,
! [X1882,X1883,X1884] : hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X1882,X1883),X1884) = hAPP_b589554111l_bool(X1882,hAPP_f166538662l_bool(X1883,X1884)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_015]) ).
fof(i_0_955,plain,
! [X1866,X1867,X1868] : hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X1866,X1867),X1868) = hAPP_b589554111l_bool(X1866,hAPP_f971112728l_bool(X1867,X1868)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_011]) ).
fof(i_0_956,plain,
! [X1855,X1856,X1857] : hAPP_f32027384l_bool(cOMBB_689948150l_bool(X1855,X1856),X1857) = hAPP_b589554111l_bool(X1855,hAPP_f1935102916l_bool(X1856,X1857)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_009]) ).
fof(i_0_957,plain,
! [X1849,X1850,X1851] : hAPP_H1187982158l_bool(cOMBB_962198420_state(X1849,X1850),X1851) = hAPP_b589554111l_bool(X1849,hAPP_H78829294e_bool(X1850,X1851)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_008]) ).
fof(i_0_958,plain,
! [X1827,X1828,X1829] : hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1827,X1828),X1829) = hAPP_b589554111l_bool(X1827,hAPP_f1664156314l_bool(X1828,X1829)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_006]) ).
fof(i_0_959,plain,
! [X1799,X1800,X1801] : hAPP_p393069232l_bool(cOMBB_675860798_pname(X1799,X1800),X1801) = hAPP_b589554111l_bool(X1799,hAPP_pname_bool(X1800,X1801)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo]) ).
fof(i_0_960,plain,
! [X1818,X1819,X1820] : hAPP_p1422361149_state(cOMBB_699532858_pname(X1818,X1819),X1820) = hAPP_c1126217667_state(X1818,hAPP_pname_com(X1819,X1820)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Ocom_000tc__Hoare____Mirabelle____jfehddehev__O]) ).
fof(i_0_961,plain,
! [X1793,X1794,X1795] : hAPP_pname_com(cOMBB_923936821_pname(X1793,X1794),X1795) = hAPP_option_com_com(X1793,hAPP_p799580910on_com(X1794,X1795)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Com__Ocom_J_000tc__Com__Ocom_00]) ).
fof(i_0_962,plain,
! [X1846,X1847,X1848] : hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X1846,X1847),X1848) = hAPP_bool_bool(X1846,hAPP_f971112728l_bool(X1847,X1848)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Hoare__]) ).
fof(i_0_963,plain,
! [X1796,X1797,X1798] : hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1796,X1797),X1798) = hAPP_bool_bool(X1796,hAPP_f1664156314l_bool(X1797,X1798)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op]) ).
fof(i_0_964,plain,
! [X1821,X1822,X1823] : hAPP_H78829294e_bool(cOMBB_2144135922_state(X1821,X1822),X1823) = hAPP_bool_bool(X1821,hAPP_H78829294e_bool(X1822,X1823)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel]) ).
fof(i_0_965,plain,
! [X1774,X1775,X1776] : hAPP_pname_bool(cOMBB_647938656_pname(X1774,X1775),X1776) = hAPP_bool_bool(X1774,hAPP_pname_bool(X1775,X1776)),
inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U]) ).
fof(i_0_966,plain,
! [X1816,X1817] :
( X1816 != X1817
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1816),X1817)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple]) ).
fof(i_0_967,plain,
! [X1520,X1521] :
( X1520 != X1521
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1520),X1521)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_205_equalityD1])]) ).
fof(i_0_968,plain,
! [X1488,X1489] :
( ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1488),X1489))
| X1488 != X1489 )
& ( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1489),X1488))
| X1488 != X1489 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_609])])]) ).
fof(i_0_969,plain,
! [X1516,X1517] :
( X1516 != X1517
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1517),X1516)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_203_equalityD2])]) ).
fof(i_0_970,plain,
! [X1772,X1773] :
( X1772 != X1773
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1772),X1773)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T]) ).
fof(i_0_971,plain,
! [X1518,X1519] :
( X1518 != X1519
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1518),X1519)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_204_equalityD1])]) ).
fof(i_0_972,plain,
! [X1486,X1487] :
( ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1486),X1487))
| X1486 != X1487 )
& ( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1487),X1486))
| X1486 != X1487 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_610])])]) ).
fof(i_0_973,plain,
! [X1514,X1515] :
( X1514 != X1515
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1515),X1514)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_202_equalityD2])]) ).
fof(i_0_974,plain,
! [X1791,X1792] :
( X1791 != X1792
| hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1791),X1792)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com]) ).
fof(i_0_975,plain,
! [X1764,X1765] :
( X1764 != X1765
| hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1764),X1765)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Com__Opname_T]) ).
fof(i_0_976,plain,
! [X1527] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1527),X1527)),
inference(variable_rename,[status(thm)],[fact_209_subset__refl]) ).
fof(i_0_977,plain,
! [X1526] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1526),X1526)),
inference(variable_rename,[status(thm)],[fact_208_subset__refl]) ).
fof(i_0_978,plain,
! [X1092] : hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X1092)),
inference(variable_rename,[status(thm)],[fact_35_empty__subsetI]) ).
fof(i_0_979,plain,
! [X1091] : hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X1091)),
inference(variable_rename,[status(thm)],[fact_34_empty__subsetI]) ).
fof(i_0_980,plain,
! [X1090] : hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1090)),
inference(variable_rename,[status(thm)],[fact_33_empty__subsetI]) ).
fof(i_0_981,plain,
! [X1093] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1093)),
inference(variable_rename,[status(thm)],[fact_36_empty__subsetI]) ).
fof(i_0_982,plain,
! [X1348,X1349,X1350] :
( ( collec1613912337l_bool(X1348) != bot_bo1537088220l_bool
| ~ is_fun1661590463l_bool(X1349)
| ~ hBOOL(hAPP_f1935102916l_bool(X1348,X1349)) )
& ( is_fun1661590463l_bool(esk1_1(X1350))
| collec1613912337l_bool(X1350) = bot_bo1537088220l_bool )
& ( hBOOL(hAPP_f1935102916l_bool(X1350,esk1_1(X1350)))
| collec1613912337l_bool(X1350) = bot_bo1537088220l_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)],[i_0_611])])])])])]) ).
fof(i_0_983,plain,
! [X1360,X1361,X1362] :
( ( collec1974731493e_bool(X1360) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X1361)
| ~ hBOOL(hAPP_f1664156314l_bool(X1360,X1361)) )
& ( is_fun_pname_bool(esk4_1(X1362))
| collec1974731493e_bool(X1362) = bot_bo1649642514l_bool )
& ( hBOOL(hAPP_f1664156314l_bool(X1362,esk4_1(X1362)))
| collec1974731493e_bool(X1362) = 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)],[i_0_612])])])])])]) ).
fof(i_0_984,plain,
! [X1368,X1369,X1370] :
( ( collect_pname(X1368) != bot_bo844097828e_bool
| ~ is_pname(X1369)
| ~ hBOOL(hAPP_pname_bool(X1368,X1369)) )
& ( is_pname(esk6_1(X1370))
| collect_pname(X1370) = bot_bo844097828e_bool )
& ( hBOOL(hAPP_pname_bool(X1370,esk6_1(X1370)))
| collect_pname(X1370) = 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)],[i_0_613])])])])])]) ).
fof(i_0_985,plain,
! [X1376,X1377,X1378] :
( ( bot_bo1537088220l_bool != collec1613912337l_bool(X1376)
| ~ is_fun1661590463l_bool(X1377)
| ~ hBOOL(hAPP_f1935102916l_bool(X1376,X1377)) )
& ( is_fun1661590463l_bool(esk7_1(X1378))
| bot_bo1537088220l_bool = collec1613912337l_bool(X1378) )
& ( hBOOL(hAPP_f1935102916l_bool(X1378,esk7_1(X1378)))
| bot_bo1537088220l_bool = collec1613912337l_bool(X1378) ) ),
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)],[i_0_614])])])])])]) ).
fof(i_0_986,plain,
! [X1388,X1389,X1390] :
( ( bot_bo1649642514l_bool != collec1974731493e_bool(X1388)
| ~ is_fun_pname_bool(X1389)
| ~ hBOOL(hAPP_f1664156314l_bool(X1388,X1389)) )
& ( is_fun_pname_bool(esk10_1(X1390))
| bot_bo1649642514l_bool = collec1974731493e_bool(X1390) )
& ( hBOOL(hAPP_f1664156314l_bool(X1390,esk10_1(X1390)))
| bot_bo1649642514l_bool = collec1974731493e_bool(X1390) ) ),
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)],[i_0_615])])])])])]) ).
fof(i_0_987,plain,
! [X1396,X1397,X1398] :
( ( bot_bo844097828e_bool != collect_pname(X1396)
| ~ is_pname(X1397)
| ~ hBOOL(hAPP_pname_bool(X1396,X1397)) )
& ( is_pname(esk12_1(X1398))
| bot_bo844097828e_bool = collect_pname(X1398) )
& ( hBOOL(hAPP_pname_bool(X1398,esk12_1(X1398)))
| bot_bo844097828e_bool = collect_pname(X1398) ) ),
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)],[i_0_616])])])])])]) ).
fof(i_0_988,plain,
! [X1739,X1740] :
( ( hAPP_pname_com(body_1,X1739) != hAPP_pname_com(body_1,X1740)
| X1739 = X1740
| ~ is_pname(X1739)
| ~ is_pname(X1740) )
& ( X1739 != X1740
| hAPP_pname_com(body_1,X1739) = hAPP_pname_com(body_1,X1740)
| ~ is_pname(X1739)
| ~ is_pname(X1740) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_299_com_Osimps_I6_J])])]) ).
fof(i_0_989,plain,
! [X1352,X1353,X1354] :
( ( collec488126193l_bool(X1352) != bot_bo1761158942l_bool
| ~ hBOOL(hAPP_f166538662l_bool(X1352,X1353)) )
& ( hBOOL(hAPP_f166538662l_bool(X1354,esk2_1(X1354)))
| collec488126193l_bool(X1354) = bot_bo1761158942l_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)],[i_0_617])])])])]) ).
fof(i_0_990,plain,
! [X1380,X1381,X1382] :
( ( bot_bo1761158942l_bool != collec488126193l_bool(X1380)
| ~ hBOOL(hAPP_f166538662l_bool(X1380,X1381)) )
& ( hBOOL(hAPP_f166538662l_bool(X1382,esk8_1(X1382)))
| bot_bo1761158942l_bool = collec488126193l_bool(X1382) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_618])])])])]) ).
fof(i_0_991,plain,
! [X1741] :
( ~ hBOOL(hAPP_bool_bool(fNot,X1741))
| ~ hBOOL(X1741) ),
inference(variable_rename,[status(thm)],[i_0_619]) ).
cnf(i_0_992,plain,
( bot_bo535777328l_bool != collec1823980261e_bool(X1)
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_620]) ).
cnf(i_0_993,plain,
( bot_bo620288102e_bool != collec307967673_state(X1)
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_621]) ).
cnf(i_0_994,plain,
( collec1823980261e_bool(X1) != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_622]) ).
cnf(i_0_995,plain,
( collec307967673_state(X1) != bot_bo620288102e_bool
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_623]) ).
fof(i_0_996,plain,
! [X1002,X1003] :
( ~ is_fun1661590463l_bool(X1002)
| ~ is_fun_pname_bool(X1003)
| is_bool(hAPP_f1664156314l_bool(X1002,X1003)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool])]) ).
fof(i_0_997,plain,
! [X986,X987] :
( ~ is_fun_pname_bool(X986)
| ~ is_pname(X987)
| is_bool(hAPP_pname_bool(X986,X987)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool])]) ).
cnf(i_0_998,plain,
( hBOOL(hAPP_f971112728l_bool(X1,esk9_1(X1)))
| bot_bo535777328l_bool = collec1823980261e_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_620]) ).
cnf(i_0_999,plain,
( hBOOL(hAPP_H78829294e_bool(X1,esk11_1(X1)))
| bot_bo620288102e_bool = collec307967673_state(X1) ),
inference(split_conjunct,[status(thm)],[i_0_621]) ).
cnf(i_0_1000,plain,
( hBOOL(hAPP_f971112728l_bool(X1,esk3_1(X1)))
| collec1823980261e_bool(X1) = bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_622]) ).
cnf(i_0_1001,plain,
( hBOOL(hAPP_H78829294e_bool(X1,esk5_1(X1)))
| collec307967673_state(X1) = bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_623]) ).
fof(i_0_1002,plain,
! [X1701,X1702] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1701) != some_com(X1702)
| hBOOL(wt(X1702)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])]) ).
fof(i_0_1003,plain,
! [X1026] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1026),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
fof(i_0_1004,plain,
! [X1000,X1001] :
( ~ is_fun_pname_bool(X1001)
| is_pname(hAPP_f1297739591_pname(X1000,X1001)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname])]) ).
fof(i_0_1005,plain,
! [X984,X985] :
( ~ is_pname(X985)
| is_pname(hAPP_pname_pname(X984,X985)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname])]) ).
fof(i_0_1006,plain,
! [X1012,X1013] :
( ~ is_fun1661590463l_bool(X1013)
| is_bool(hAPP_f1935102916l_bool(X1012,X1013)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo])]) ).
fof(i_0_1007,plain,
! [X992,X993] :
( ~ is_bool(X993)
| is_bool(hAPP_bool_bool(X992,X993)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool])]) ).
fof(i_0_1008,plain,
! [X1014,X1015] :
( ~ is_fun1661590463l_bool(X1015)
| is_fun1661590463l_bool(hAPP_f559147733l_bool(X1014,X1015)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_005])]) ).
fof(i_0_1009,plain,
! [X1006,X1007] :
( ~ is_fun_pname_bool(X1007)
| is_fun1661590463l_bool(hAPP_f434788991l_bool(X1006,X1007)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc])]) ).
fof(i_0_1010,plain,
! [X990,X991] :
( ~ is_pname(X991)
| is_fun1661590463l_bool(hAPP_p338031245l_bool(X990,X991)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo])]) ).
fof(i_0_1011,plain,
! [X966,X967] :
( ~ is_fun_pname_bool(X967)
| is_fun1661590463l_bool(image_47868345e_bool(X966,X967)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_])]) ).
fof(i_0_1012,plain,
! [X957,X958] :
( ~ is_fun1661590463l_bool(X958)
| is_fun1661590463l_bool(cOMBS_350070575l_bool(X957,X958)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t])]) ).
fof(i_0_1013,plain,
! [X951,X952] :
( ~ is_fun1661590463l_bool(X952)
| is_fun1661590463l_bool(cOMBB_307249310e_bool(X951,X952)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_])]) ).
fof(i_0_1014,plain,
! [X1004,X1005] :
( ~ is_fun_pname_bool(X1005)
| is_fun_pname_bool(hAPP_f759274231e_bool(X1004,X1005)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op])]) ).
fof(i_0_1015,plain,
! [X988,X989] :
( ~ is_pname(X989)
| is_fun_pname_bool(hAPP_p61793385e_bool(X988,X989)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])]) ).
fof(i_0_1016,plain,
! [X972,X973] :
( ~ is_fun1661590463l_bool(X973)
| is_fun_pname_bool(image_1283814551_pname(X972,X973)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam])]) ).
fof(i_0_1017,plain,
! [X964,X965] :
( ~ is_fun_pname_bool(X965)
| is_fun_pname_bool(image_pname_pname(X964,X965)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname])]) ).
fof(i_0_1018,plain,
! [X955,X956] :
( ~ is_fun_pname_bool(X956)
| is_fun_pname_bool(cOMBS_568398431l_bool(X955,X956)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool])]) ).
fof(i_0_1019,plain,
! [X949,X950] :
( ~ is_fun_pname_bool(X950)
| is_fun_pname_bool(cOMBB_647938656_pname(X949,X950)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname])]) ).
fof(i_0_1020,plain,
! [X1742] :
( hBOOL(X1742)
| hBOOL(hAPP_bool_bool(fNot,X1742)) ),
inference(variable_rename,[status(thm)],[help_fNot_2_1_U]) ).
fof(i_0_1021,plain,
! [X1597,X1598] :
( ( image_2003357581_state(X1597,X1598) != bot_bo620288102e_bool
| X1598 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1598) )
& ( X1598 != bot_bo844097828e_bool
| image_2003357581_state(X1597,X1598) = bot_bo620288102e_bool
| ~ is_fun_pname_bool(X1598) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_239_image__is__empty])])]) ).
fof(i_0_1022,plain,
! [X1600,X1601] :
( ( bot_bo620288102e_bool != image_2003357581_state(X1600,X1601)
| X1601 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1601) )
& ( X1601 != bot_bo844097828e_bool
| bot_bo620288102e_bool = image_2003357581_state(X1600,X1601)
| ~ is_fun_pname_bool(X1601) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_empty__is__image])])]) ).
fof(i_0_1023,plain,
! [X1008,X1009] : is_pname(hAPP_f560369737_pname(X1008,X1009)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O]) ).
fof(i_0_1024,plain,
! [X994,X995] : is_pname(hAPP_H1621176307_pname(X994,X995)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0]) ).
fof(i_0_1025,plain,
! [X1024,X1025] : is_bool(hAPP_f1022807134l_bool(X1024,X1025)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfeh]) ).
fof(i_0_1026,plain,
! [X1022,X1023] : is_bool(hAPP_f595608956l_bool(X1022,X1023)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Oboo]) ).
fof(i_0_1027,plain,
! [X1020,X1021] : is_bool(hAPP_f468958928l_bool(X1020,X1021)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__O]) ).
fof(i_0_1028,plain,
! [X1018,X1019] : is_bool(hAPP_f389811538l_bool(X1018,X1019)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__]) ).
fof(i_0_1029,plain,
! [X1016,X1017] : is_bool(hAPP_f166538662l_bool(X1016,X1017)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It]) ).
fof(i_0_1030,hypothesis,
! [X1010,X1011] : is_bool(hAPP_f971112728l_bool(X1010,X1011)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__O_004]) ).
fof(i_0_1031,plain,
! [X996,X997] : is_bool(hAPP_H78829294e_bool(X996,X997)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_002]) ).
fof(i_0_1032,plain,
! [X970,X971] : is_fun1661590463l_bool(image_2131964411e_bool(X970,X971)),
inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta_001]) ).
fof(i_0_1033,plain,
! [X998,X999] : is_fun_pname_bool(hAPP_H356885323e_bool(X998,X999)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Ostate_J_0_003]) ).
fof(i_0_1034,plain,
! [X978,X979] : is_fun_pname_bool(image_1619336331_pname(X978,X979)),
inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otri]) ).
fof(i_0_1035,plain,
! [X976,X977] : is_fun_pname_bool(image_1705983821_pname(X976,X977)),
inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL]) ).
fof(i_0_1036,plain,
! [X974,X975] : is_fun_pname_bool(image_187965177_pname(X974,X975)),
inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__]) ).
fof(i_0_1037,plain,
! [X968,X969] : is_fun_pname_bool(image_54689091_pname(X968,X969)),
inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__Osta]) ).
fof(i_0_1038,plain,
! [X1861,X1862] :
( ~ is_bool(X1861)
| hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1861),X1862) = X1861 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Hoare____Mirabel])]) ).
fof(i_0_1039,plain,
! [X1836,X1837] :
( ~ is_bool(X1836)
| hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1836),X1837) = X1836 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Hoare____Mirabelle____jfe])]) ).
fof(i_0_1040,plain,
! [X1838,X1839] :
( ~ is_pname(X1838)
| hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1838),X1839) = X1838 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Hoare____Mirabelle____jf])]) ).
fof(i_0_1041,plain,
! [X1783,X1784] :
( ~ is_bool(X1783)
| hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1783),X1784) = X1783 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo])]) ).
fof(i_0_1042,plain,
! [X1785,X1786] :
( ~ is_pname(X1785)
| hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1785),X1786) = X1785 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob])]) ).
fof(i_0_1043,plain,
! [X1842,X1843] :
( ~ is_fun_pname_bool(X1842)
| hAPP_H356885323e_bool(cOMBK_2035509764_state(X1842),X1843) = X1842 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Hoare_])]) ).
fof(i_0_1044,plain,
! [X1808,X1809] :
( ~ is_bool(X1808)
| hAPP_H78829294e_bool(cOMBK_659609255_state(X1808),X1809) = X1808 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__])]) ).
fof(i_0_1045,plain,
! [X1810,X1811] :
( ~ is_pname(X1810)
| hAPP_H1621176307_pname(cOMBK_168215364_state(X1810),X1811) = X1810 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Hoare____Mirabelle____jfehddehev_])]) ).
fof(i_0_1046,plain,
! [X1787,X1788] :
( ~ is_fun_pname_bool(X1787)
| hAPP_p61793385e_bool(cOMBK_37193422_pname(X1787),X1788) = X1787 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O])]) ).
fof(i_0_1047,plain,
! [X1766,X1767] :
( ~ is_bool(X1766)
| hAPP_pname_bool(cOMBK_bool_pname(X1766),X1767) = X1766 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U])]) ).
fof(i_0_1048,plain,
! [X1768,X1769] :
( ~ is_pname(X1768)
| hAPP_pname_pname(cOMBK_pname_pname(X1768),X1769) = X1768 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Com__Opname_000tc__Com__Opname_U])]) ).
fof(i_0_1049,plain,
! [X1812,X1813] : hAPP_p1422361149_state(cOMBK_367030522_pname(X1812),X1813) = X1812,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com__]) ).
fof(i_0_1050,plain,
! [X1872,X1873] : hAPP_f1387463497_state(cOMBK_701929478e_bool(X1872),X1873) = X1872,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___012]) ).
fof(i_0_1051,plain,
! [X1840,X1841] : hAPP_f888949707_state(cOMBK_1503445380e_bool(X1840),X1841) = X1840,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__Hoare____Mirabelle____jfehddehev__Otriple_Itc__Com___007]) ).
fof(i_0_1052,plain,
! [X1844,X1845] : hAPP_p442853985e_bool(cOMBK_1706929794_pname(X1844),X1845) = X1844,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I]) ).
fof(i_0_1053,plain,
! [X1874,X1875] : hAPP_H1049623551e_bool(cOMBK_1039769424_state(X1874),X1875) = X1874,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_I_013]) ).
fof(i_0_1054,plain,
! [X963] :
( ~ is_fun1661590463l_bool(X963)
| is_fun1661590463l_bool(collec1974731493e_bool(X963)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])]) ).
fof(i_0_1055,plain,
! [X954] :
( ~ is_bool(X954)
| is_fun1661590463l_bool(cOMBK_1857069011e_bool(X954)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])]) ).
fof(i_0_1056,plain,
! [X962] :
( ~ is_fun_pname_bool(X962)
| is_fun_pname_bool(collect_pname(X962)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Com__Opname])]) ).
fof(i_0_1057,plain,
! [X953] :
( ~ is_bool(X953)
| is_fun_pname_bool(cOMBK_bool_pname(X953)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname])]) ).
fof(i_0_1058,plain,
! [X1599] : image_2003357581_state(X1599,bot_bo844097828e_bool) = bot_bo620288102e_bool,
inference(variable_rename,[status(thm)],[fact_240_image__empty]) ).
fof(i_0_1059,plain,
! [X1630] :
( ~ is_fun1661590463l_bool(X1630)
| collec1974731493e_bool(X1630) = X1630 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_256_Collect__def])]) ).
fof(i_0_1060,plain,
! [X1628] :
( ~ is_fun_pname_bool(X1628)
| collect_pname(X1628) = X1628 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_254_Collect__def])]) ).
fof(i_0_1061,plain,
! [X959] : is_bool(wt(X959)),
inference(variable_rename,[status(thm)],[gsy_c_Com_OWT]) ).
fof(i_0_1062,plain,
! [X961] : is_fun1661590463l_bool(dom_fu2081503504ol_com(X961)),
inference(variable_rename,[status(thm)],[gsy_c_Map_Odom_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Ocom]) ).
fof(i_0_1063,hypothesis,
! [X960] : is_fun_pname_bool(dom_pname_com(X960)),
inference(variable_rename,[status(thm)],[gsy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom]) ).
fof(i_0_1064,plain,
! [X1755] :
( ~ is_bool(X1755)
| X1755 = fTrue
| X1755 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(i_0_1065,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(i_0_1066,plain,
bot_bo535777328l_bool = collec1823980261e_bool(cOMBK_129401207e_bool(fFalse)),
inference(split_conjunct,[status(thm)],[fact_164_empty__def]) ).
cnf(i_0_1067,plain,
bot_bo620288102e_bool = collec307967673_state(cOMBK_659609255_state(fFalse)),
inference(split_conjunct,[status(thm)],[fact_166_empty__def]) ).
cnf(i_0_1068,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1)))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,X1)))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_option_com_com(the_com,hAPP_p799580910on_com(body,X1))))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_624,c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1069,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk29_3(X1,X2,X3))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk30_3(X1,X2,X3)))))) ),
inference(rw,[status(thm)],[i_0_626,c_0_627]),
[final] ).
cnf(i_0_1070,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),esk25_3(X1,X2,X3))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),esk26_3(X1,X2,X3)))))) ),
inference(rw,[status(thm)],[i_0_628,c_0_629]),
[final] ).
cnf(i_0_1071,plain,
( X1 = X3
| X1 = X2
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_630,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1072,plain,
( X1 = X3
| X1 = X2
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_631,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1073,plain,
( X2 = X3
| X1 = X2
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_632,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1074,plain,
( X2 = X3
| X1 = X2
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_633,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1075,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wt(X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X2,X1))))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_634,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1076,plain,
( hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(X1,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),esk31_3(X1,X2,X3))),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),esk32_3(X1,X2,X3))))) ),
inference(rw,[status(thm)],[i_0_635,c_0_636]),
[final] ).
cnf(i_0_1077,plain,
( hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(X1,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),esk27_3(X1,X2,X3))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),esk28_3(X1,X2,X3))))) ),
inference(rw,[status(thm)],[i_0_637,c_0_625]),
[final] ).
cnf(i_0_1078,plain,
collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_638,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1079,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))
| X3 != X4
| X1 != X2
| ~ is_pname(X4)
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_639,c_0_629]),c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1080,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),X2)) ),
inference(rw,[status(thm)],[i_0_640,c_0_629]),
[final] ).
cnf(i_0_1081,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2)) ),
inference(rw,[status(thm)],[i_0_641,c_0_629]),
[final] ).
cnf(i_0_1082,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_642,c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1083,plain,
collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_643,c_0_629]),c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1084,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)) ),
inference(rw,[status(thm)],[i_0_644,c_0_629]),
[final] ).
cnf(i_0_1085,plain,
( X1 = X3
| X1 = X2
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X4)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_645,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1086,plain,
( X1 = X3
| X1 = X2
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X4)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_646,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1087,plain,
( X2 = X3
| X1 = X2
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X4)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_647,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1088,plain,
( X2 = X3
| X1 = X2
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X4)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_648,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1089,plain,
( X1 = bot_bo1649642514l_bool
| X1 = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ is_fun1661590463l_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_649,c_0_627]),c_0_627]),
[final] ).
cnf(i_0_1090,plain,
( X1 = bot_bo844097828e_bool
| X1 = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_650,c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1091,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))) ),
inference(rw,[status(thm)],[i_0_651,c_0_629]),
[final] ).
cnf(i_0_1092,plain,
( X1 = X2
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X3))
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X3))))) ),
inference(rw,[status(thm)],[i_0_652,c_0_627]),
[final] ).
cnf(i_0_1093,plain,
( X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))) ),
inference(rw,[status(thm)],[i_0_653,c_0_629]),
[final] ).
cnf(i_0_1094,plain,
( X1 = X2
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))) ),
inference(rw,[status(thm)],[i_0_654,c_0_629]),
[final] ).
cnf(i_0_1095,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))),X2)) ),
inference(rw,[status(thm)],[i_0_655,c_0_625]),
[final] ).
cnf(i_0_1096,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),X2)) ),
inference(rw,[status(thm)],[i_0_656,c_0_625]),
[final] ).
cnf(i_0_1097,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
inference(rw,[status(thm)],[i_0_657,c_0_625]),
[final] ).
cnf(i_0_1098,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_658,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1099,plain,
( X1 = X2
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))) ),
inference(rw,[status(thm)],[i_0_659,c_0_629]),
[final] ).
cnf(i_0_1100,plain,
( X1 = X2
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))) ),
inference(rw,[status(thm)],[i_0_660,c_0_629]),
[final] ).
cnf(i_0_1101,plain,
( X1 = X3
| hBOOL(hAPP_pname_bool(X2,X3))
| ~ is_pname(X3)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X3)) ),
inference(rw,[status(thm)],[i_0_661,c_0_629]),
[final] ).
cnf(i_0_1102,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))) ),
inference(rw,[status(thm)],[i_0_662,c_0_627]),
[final] ).
cnf(i_0_1103,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))) ),
inference(rw,[status(thm)],[i_0_663,c_0_629]),
[final] ).
cnf(i_0_1104,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_664,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1105,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_665,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1106,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_666,c_0_625]),
[final] ).
cnf(i_0_1107,plain,
( hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X1,X2,X3)),esk32_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_461]),
[final] ).
cnf(i_0_1108,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X1,X2,X3)),esk30_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1109,plain,
( hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X1,X2,X3)),esk28_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_464]),
[final] ).
cnf(i_0_1110,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X1,X2,X3)),esk26_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1111,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_667,c_0_629]),
[final] ).
cnf(i_0_1112,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_668,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1113,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X4)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| X3 != X4
| X1 != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_669,c_0_625]),c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1114,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ is_pname(X3)
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_670,c_0_629]),
[final] ).
cnf(i_0_1115,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_671,c_0_627]),
[final] ).
cnf(i_0_1116,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_672,c_0_629]),
[final] ).
cnf(i_0_1117,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_673,c_0_629]),
[final] ).
cnf(i_0_1118,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_674,c_0_629]),
[final] ).
cnf(i_0_1119,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))
| X1 != X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[i_0_675,c_0_629]),
[final] ).
cnf(i_0_1120,plain,
( hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),X2))
| ~ is_pname(X3)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_676,c_0_629]),
[final] ).
cnf(i_0_1121,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X3)))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_677,c_0_627]),
[final] ).
cnf(i_0_1122,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_678,c_0_629]),
[final] ).
cnf(i_0_1123,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))),
inference(rw,[status(thm)],[i_0_679,c_0_629]),
[final] ).
cnf(i_0_1124,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))),
inference(rw,[status(thm)],[i_0_680,c_0_629]),
[final] ).
cnf(i_0_1125,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(rw,[status(thm)],[i_0_681,c_0_627]),
[final] ).
cnf(i_0_1126,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(rw,[status(thm)],[i_0_682,c_0_627]),
[final] ).
cnf(i_0_1127,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(rw,[status(thm)],[i_0_683,c_0_629]),
[final] ).
cnf(i_0_1128,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(rw,[status(thm)],[i_0_684,c_0_629]),
[final] ).
cnf(i_0_1129,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))
| X1 != X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[i_0_685,c_0_629]),
[final] ).
cnf(i_0_1130,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X1,X2)),dom_pname_com(body)))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[i_0_686,c_0_625]),
[final] ).
cnf(i_0_1131,plain,
( hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))),X2))
| X1 != X2
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[i_0_687,c_0_629]),
[final] ).
cnf(i_0_1132,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) ),
inference(rw,[status(thm)],[i_0_688,c_0_625]),
[final] ).
cnf(i_0_1133,plain,
( X1 = bot_bo535777328l_bool
| X1 = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_689,c_0_636]),c_0_636]),
[final] ).
cnf(i_0_1134,plain,
( X1 = bot_bo620288102e_bool
| X1 = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_690,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1135,plain,
( X1 = X2
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X3))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X3)))) ),
inference(rw,[status(thm)],[i_0_691,c_0_636]),
[final] ).
cnf(i_0_1136,plain,
( X1 = X2
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) ),
inference(rw,[status(thm)],[i_0_692,c_0_625]),
[final] ).
cnf(i_0_1137,plain,
( X1 = X2
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) ),
inference(rw,[status(thm)],[i_0_693,c_0_625]),
[final] ).
cnf(i_0_1138,plain,
( X2 = X3
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))
| ~ is_fun_pname_bool(X3)
| ~ is_fun_pname_bool(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_694,c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1139,plain,
( is_pname(esk23_2(X1,X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[i_0_695,c_0_625]),
[final] ).
cnf(i_0_1140,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wt(X1)) ),
inference(rw,[status(thm)],[i_0_696,c_0_625]),
[final] ).
cnf(i_0_1141,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)))) ),
inference(rw,[status(thm)],[i_0_697,c_0_625]),
[final] ).
cnf(i_0_1142,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[i_0_698,c_0_625]),
[final] ).
cnf(i_0_1143,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(rw,[status(thm)],[i_0_699,c_0_625]),
[final] ).
cnf(i_0_1144,plain,
( X1 = X3
| hBOOL(hAPP_H78829294e_bool(X2,X3))
| ~ hBOOL(hAPP_H78829294e_bool(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),X3)) ),
inference(rw,[status(thm)],[i_0_700,c_0_625]),
[final] ).
cnf(i_0_1145,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2)))) ),
inference(rw,[status(thm)],[i_0_701,c_0_636]),
[final] ).
cnf(i_0_1146,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)))) ),
inference(rw,[status(thm)],[i_0_702,c_0_625]),
[final] ).
cnf(i_0_1147,plain,
( X1 = X2
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ is_pname(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_703,c_0_629]),c_0_629]),
[final] ).
cnf(i_0_1148,plain,
image_2003357581_state(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_p1422361149_state(X1,X2))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),image_2003357581_state(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_704,c_0_629]),c_0_625]),
[final] ).
cnf(i_0_1149,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X1))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_705,c_0_625]),
[final] ).
cnf(i_0_1150,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_706,c_0_625]),c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1151,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk36_3(X1,X2,X3)),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),image_2003357581_state(X1,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_707]),
[final] ).
cnf(i_0_1152,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk31_3(X1,X2,X3)),X2))
| hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_461]),
[final] ).
cnf(i_0_1153,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk29_3(X1,X2,X3)),X2))
| hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1154,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk27_3(X1,X2,X3)),X2))
| hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_464]),
[final] ).
cnf(i_0_1155,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_3(X1,X2,X3)),X2))
| hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1156,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X3)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2))))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_708,c_0_636]),
[final] ).
cnf(i_0_1157,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_709,c_0_625]),
[final] ).
cnf(i_0_1158,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_710,c_0_625]),
[final] ).
cnf(i_0_1159,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_711,c_0_625]),
[final] ).
cnf(i_0_1160,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2))))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_712,c_0_625]),
[final] ).
cnf(i_0_1161,plain,
collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),collec1974731493e_bool(X2)))) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)),
inference(rw,[status(thm)],[i_0_713,c_0_627]),
[final] ).
cnf(i_0_1162,plain,
collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(X2)))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)),
inference(rw,[status(thm)],[i_0_714,c_0_629]),
[final] ).
cnf(i_0_1163,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk22_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_715]),
[final] ).
cnf(i_0_1164,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_716]),
[final] ).
cnf(i_0_1165,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk21_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_717]),
[final] ).
cnf(i_0_1166,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X3))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_718,c_0_636]),
[final] ).
cnf(i_0_1167,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_719,c_0_625]),
[final] ).
cnf(i_0_1168,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_720,c_0_625]),
[final] ).
cnf(i_0_1169,plain,
( hBOOL(hAPP_H78829294e_bool(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1)),X2))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_721,c_0_625]),
[final] ).
cnf(i_0_1170,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)))),
inference(rw,[status(thm)],[i_0_722,c_0_625]),
[final] ).
cnf(i_0_1171,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1)))),
inference(rw,[status(thm)],[i_0_723,c_0_625]),
[final] ).
cnf(i_0_1172,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(rw,[status(thm)],[i_0_724,c_0_636]),
[final] ).
cnf(i_0_1173,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X1))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(rw,[status(thm)],[i_0_725,c_0_636]),
[final] ).
cnf(i_0_1174,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[i_0_726,c_0_625]),
[final] ).
cnf(i_0_1175,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1))))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[i_0_727,c_0_625]),
[final] ).
cnf(i_0_1176,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_728,c_0_625]),
[final] ).
cnf(i_0_1177,plain,
( X2 = X3
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_729,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1178,plain,
( hBOOL(hAPP_H78829294e_bool(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)),X2))
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_730,c_0_625]),
[final] ).
cnf(i_0_1179,plain,
( is_fun1661590463l_bool(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))
| ~ is_fun_pname_bool(X1)
| ~ is_fun1661590463l_bool(X2) ),
inference(rw,[status(thm)],[i_0_731,c_0_627]),
[final] ).
cnf(i_0_1180,plain,
( is_fun_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))
| ~ is_fun_pname_bool(X2)
| ~ is_pname(X1) ),
inference(rw,[status(thm)],[i_0_732,c_0_629]),
[final] ).
cnf(i_0_1181,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_733]),
[final] ).
cnf(i_0_1182,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X2),X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_733]),
[final] ).
cnf(i_0_1183,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))) ),
inference(split_conjunct,[status(thm)],[i_0_734]),
[final] ).
cnf(i_0_1184,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X2),X1)))) ),
inference(split_conjunct,[status(thm)],[i_0_734]),
[final] ).
cnf(i_0_1185,plain,
( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_735,c_0_627]),
[final] ).
cnf(i_0_1186,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_736,c_0_629]),
[final] ).
cnf(i_0_1187,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk36_3(X1,X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),image_2003357581_state(X1,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_707]),
[final] ).
cnf(i_0_1188,plain,
( hBOOL(hAPP_f166538662l_bool(X1,esk32_3(X1,X2,X3)))
| hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_461]),
[final] ).
cnf(i_0_1189,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,esk30_3(X1,X2,X3)))
| hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1190,plain,
( hBOOL(hAPP_f971112728l_bool(X1,esk28_3(X1,X2,X3)))
| hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_464]),
[final] ).
cnf(i_0_1191,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,esk26_3(X1,X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1192,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,esk32_3(X1,X2,X3)))
| hBOOL(hAPP_f166538662l_bool(X1,X3))
| ~ hBOOL(hAPP_f166538662l_bool(X1,bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_461]),
[final] ).
cnf(i_0_1193,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk30_3(X1,X2,X3)))
| hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1194,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,esk28_3(X1,X2,X3)))
| hBOOL(hAPP_f971112728l_bool(X1,X3))
| ~ hBOOL(hAPP_f971112728l_bool(X1,bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_464]),
[final] ).
cnf(i_0_1195,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk26_3(X1,X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1196,plain,
( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_737,c_0_627]),
[final] ).
cnf(i_0_1197,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_738,c_0_629]),
[final] ).
cnf(i_0_1198,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_733]),
[final] ).
cnf(i_0_1199,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_734]),
[final] ).
cnf(i_0_1200,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_p1422361149_state(X3,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),image_2003357581_state(X3,X2))) = image_2003357581_state(X3,X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_739,c_0_625]),
[final] ).
cnf(i_0_1201,plain,
collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))) != bot_bo844097828e_bool,
inference(rw,[status(thm)],[i_0_740,c_0_629]),
[final] ).
cnf(i_0_1202,plain,
bot_bo844097828e_bool != collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),
inference(rw,[status(thm)],[i_0_741,c_0_629]),
[final] ).
cnf(i_0_1203,plain,
( X1 = X2
| cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_742,c_0_625]),c_0_625]),
[final] ).
cnf(i_0_1204,plain,
( image_187965177_pname(cOMBK_1589414042e_bool(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_743,c_0_629]),
[final] ).
cnf(i_0_1205,plain,
( image_1283814551_pname(cOMBK_948730864e_bool(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_744,c_0_629]),
[final] ).
cnf(i_0_1206,plain,
( image_2131964411e_bool(cOMBK_2035509764_state(X3),X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_745,c_0_627]),
[final] ).
cnf(i_0_1207,plain,
( image_54689091_pname(cOMBK_168215364_state(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_746,c_0_629]),
[final] ).
cnf(i_0_1208,plain,
( image_47868345e_bool(cOMBK_37193422_pname(X3),X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_747,c_0_627]),
[final] ).
cnf(i_0_1209,plain,
( image_pname_pname(cOMBK_pname_pname(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_748,c_0_629]),
[final] ).
cnf(i_0_1210,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))) = X1
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(rw,[status(thm)],[i_0_749,c_0_629]),
[final] ).
cnf(i_0_1211,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X1),X2))))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_750]),
[final] ).
cnf(i_0_1212,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(cOMBS_1358309691l_bool(cOMBB_404111180l_bool(fconj,X2),X1))))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_750]),
[final] ).
cnf(i_0_1213,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X1),X2))))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_751]),
[final] ).
cnf(i_0_1214,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(cOMBS_811933079l_bool(cOMBB_689948150l_bool(fconj,X2),X1))))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_751]),
[final] ).
cnf(i_0_1215,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_752]),
[final] ).
cnf(i_0_1216,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X2),X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_752]),
[final] ).
cnf(i_0_1217,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_753]),
[final] ).
cnf(i_0_1218,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X2),X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_753]),
[final] ).
cnf(i_0_1219,hypothesis,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,fa),image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body)))),
inference(split_conjunct,[status(thm)],[conj_4]),
[final] ).
cnf(i_0_1220,plain,
( X1 = image_2003357581_state(X2,esk36_3(X2,X3,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_707]),
[final] ).
cnf(i_0_1221,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_754]),
[final] ).
cnf(i_0_1222,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X1,X2)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_755]),
[final] ).
cnf(i_0_1223,plain,
( is_fun_pname_bool(esk36_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),image_2003357581_state(X1,X2)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_707]),
[final] ).
cnf(i_0_1224,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X3,X1)),image_2003357581_state(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_756]),
[final] ).
cnf(i_0_1225,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X3,X1)),image_2003357581_state(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_757]),
[final] ).
cnf(i_0_1226,plain,
( is_fun1661590463l_bool(esk30_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1227,plain,
( is_fun_pname_bool(esk29_3(X1,X2,X3))
| hBOOL(hAPP_f1935102916l_bool(X1,X3))
| ~ hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_455]),
[final] ).
cnf(i_0_1228,plain,
( is_pname(esk25_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1229,plain,
( is_fun_pname_bool(esk26_3(X1,X2,X3))
| hBOOL(hAPP_f1664156314l_bool(X1,X3))
| ~ hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_457]),
[final] ).
cnf(i_0_1230,plain,
cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2)) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fimplies,cOMBB_1522210668e_bool(fNot,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_758,c_0_463]),c_0_463]),c_0_636]),
[final] ).
cnf(i_0_1231,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)) = cOMBS_458705923l_bool(cOMBB_962198420_state(fimplies,cOMBB_2144135922_state(fNot,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_759,c_0_454]),c_0_454]),c_0_625]),
[final] ).
cnf(i_0_1232,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),fa)),
inference(split_conjunct,[status(thm)],[conj_6]),
[final] ).
cnf(i_0_1233,plain,
( collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),dom_fu2081503504ol_com(X1)))) = dom_fu2081503504ol_com(X1)
| hAPP_f2138803836on_com(X1,X2) != some_com(X3) ),
inference(rw,[status(thm)],[i_0_760,c_0_627]),
[final] ).
cnf(i_0_1234,plain,
( collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),dom_pname_com(X1)))) = dom_pname_com(X1)
| hAPP_p799580910on_com(X1,X2) != some_com(X3) ),
inference(rw,[status(thm)],[i_0_761,c_0_629]),
[final] ).
cnf(i_0_1235,plain,
( X1 = hAPP_p1422361149_state(X2,esk24_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_716]),
[final] ).
cnf(i_0_1236,plain,
( X1 = hAPP_p1422361149_state(X2,esk21_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_717]),
[final] ).
cnf(i_0_1237,plain,
( X1 = image_2003357581_state(X2,esk22_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_715]),
[final] ).
cnf(i_0_1238,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X2))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_762]),
[final] ).
cnf(i_0_1239,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_763]),
[final] ).
cnf(i_0_1240,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_764]),
[final] ).
cnf(i_0_1241,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_765]),
[final] ).
cnf(i_0_1242,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_766]),
[final] ).
cnf(i_0_1243,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_767]),
[final] ).
cnf(i_0_1244,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_768]),
[final] ).
cnf(i_0_1245,plain,
( 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,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_769]),
[final] ).
cnf(i_0_1246,plain,
( 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,X2),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_770]),
[final] ).
cnf(i_0_1247,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_771]),
[final] ).
cnf(i_0_1248,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_772]),
[final] ).
cnf(i_0_1249,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_773]),
[final] ).
cnf(i_0_1250,plain,
( is_pname(esk24_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_716]),
[final] ).
cnf(i_0_1251,plain,
( is_pname(esk21_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_717]),
[final] ).
cnf(i_0_1252,plain,
( is_fun_pname_bool(esk22_3(X1,X2,X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_715]),
[final] ).
cnf(i_0_1253,plain,
collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))),
inference(rw,[status(thm)],[i_0_774,c_0_627]),
[final] ).
cnf(i_0_1254,plain,
collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(rw,[status(thm)],[i_0_775,c_0_629]),
[final] ).
cnf(i_0_1255,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_776,c_0_463]),c_0_463]),
[final] ).
cnf(i_0_1256,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X2),X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_777,c_0_463]),c_0_463]),
[final] ).
cnf(i_0_1257,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_778,c_0_454]),c_0_454]),
[final] ).
cnf(i_0_1258,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X2),X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_779,c_0_454]),c_0_454]),
[final] ).
cnf(i_0_1259,plain,
( X1 = bot_bo1649642514l_bool
| image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ is_fun1661590463l_bool(X1) ),
inference(rw,[status(thm)],[i_0_780,c_0_629]),
[final] ).
cnf(i_0_1260,plain,
( X1 = bot_bo844097828e_bool
| image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))
| ~ is_fun_pname_bool(X1) ),
inference(rw,[status(thm)],[i_0_781,c_0_627]),
[final] ).
cnf(i_0_1261,plain,
( X1 = bot_bo844097828e_bool
| image_pname_pname(cOMBK_pname_pname(X2),X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))
| ~ is_fun_pname_bool(X1) ),
inference(rw,[status(thm)],[i_0_782,c_0_629]),
[final] ).
cnf(i_0_1262,plain,
collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))),
inference(rw,[status(thm)],[i_0_783,c_0_627]),
[final] ).
cnf(i_0_1263,plain,
collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(rw,[status(thm)],[i_0_784,c_0_629]),
[final] ).
cnf(i_0_1264,plain,
( X1 = bot_bo535777328l_bool
| image_187965177_pname(cOMBK_1589414042e_bool(X2),X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rw,[status(thm)],[i_0_785,c_0_629]),
[final] ).
cnf(i_0_1265,plain,
( X1 = bot_bo620288102e_bool
| image_2131964411e_bool(cOMBK_2035509764_state(X2),X1) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))) ),
inference(rw,[status(thm)],[i_0_786,c_0_627]),
[final] ).
cnf(i_0_1266,plain,
( X1 = bot_bo620288102e_bool
| image_54689091_pname(cOMBK_168215364_state(X2),X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rw,[status(thm)],[i_0_787,c_0_629]),
[final] ).
cnf(i_0_1267,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),image_2003357581_state(X4,X2)))
| ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X3 != hAPP_p1422361149_state(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_717]),
[final] ).
cnf(i_0_1268,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),image_2003357581_state(X4,X2)))
| ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X3 != image_2003357581_state(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_715]),
[final] ).
cnf(i_0_1269,plain,
( cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_788,c_0_463]),c_0_636]),
[final] ).
cnf(i_0_1270,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_789,c_0_454]),c_0_625]),
[final] ).
cnf(i_0_1271,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X2),image_1761575943l_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_790]),
[final] ).
cnf(i_0_1272,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f468958928l_bool(hAPP_f667366769l_bool(ord_le889598034l_bool,X2),image_288317893l_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_791]),
[final] ).
cnf(i_0_1273,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X2),image_1210605179l_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_792]),
[final] ).
cnf(i_0_1274,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(ord_le1375671464l_bool,X2),image_1642285373l_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_793]),
[final] ).
cnf(i_0_1275,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),image_1828608335e_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_794]),
[final] ).
cnf(i_0_1276,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),image_70449425e_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_795]),
[final] ).
cnf(i_0_1277,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),image_2131964411e_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_796]),
[final] ).
cnf(i_0_1278,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),image_47868345e_bool(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_797]),
[final] ).
cnf(i_0_1279,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),image_892968839_state(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_798]),
[final] ).
cnf(i_0_1280,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),image_677922117_state(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_799]),
[final] ).
cnf(i_0_1281,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),image_18964633_state(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_800]),
[final] ).
cnf(i_0_1282,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),image_516545147_state(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_801]),
[final] ).
cnf(i_0_1283,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),image_2003357581_state(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_802]),
[final] ).
cnf(i_0_1284,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1619336331_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_803]),
[final] ).
cnf(i_0_1285,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1705983821_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_804]),
[final] ).
cnf(i_0_1286,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_187965177_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_805]),
[final] ).
cnf(i_0_1287,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1283814551_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_806]),
[final] ).
cnf(i_0_1288,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_54689091_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_807]),
[final] ).
cnf(i_0_1289,plain,
( 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,X2),image_pname_pname(X3,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_808]),
[final] ).
cnf(i_0_1290,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_1828608335e_bool(X2,X4)))
| X1 != hAPP_H1049623551e_bool(X2,X3)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_809]),
[final] ).
cnf(i_0_1291,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),image_70449425e_bool(X2,X4)))
| X1 != hAPP_p442853985e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_810]),
[final] ).
cnf(i_0_1292,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_2131964411e_bool(X2,X4)))
| X1 != hAPP_H356885323e_bool(X2,X3)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_811]),
[final] ).
cnf(i_0_1293,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),image_47868345e_bool(X2,X4)))
| X1 != hAPP_p61793385e_bool(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_812]),
[final] ).
cnf(i_0_1294,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_516545147_state(X2,X4)))
| X1 != hAPP_f888949707_state(X2,X3)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_813]),
[final] ).
cnf(i_0_1295,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_18964633_state(X2,X4)))
| X1 != hAPP_f1387463497_state(X2,X3)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_814]),
[final] ).
cnf(i_0_1296,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X4)))
| X1 != hAPP_p1422361149_state(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_815]),
[final] ).
cnf(i_0_1297,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),image_2003357581_state(X4,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X3 != hAPP_p1422361149_state(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_816]),
[final] ).
cnf(i_0_1298,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_187965177_pname(X2,X4)))
| X1 != hAPP_f560369737_pname(X2,X3)
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_817]),
[final] ).
cnf(i_0_1299,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_1283814551_pname(X2,X4)))
| X1 != hAPP_f1297739591_pname(X2,X3)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_818]),
[final] ).
cnf(i_0_1300,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_54689091_pname(X2,X4)))
| X1 != hAPP_H1621176307_pname(X2,X3)
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_819]),
[final] ).
cnf(i_0_1301,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_pname_pname(X2,X4)))
| X1 != hAPP_pname_pname(X2,X3)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X4)) ),
inference(split_conjunct,[status(thm)],[i_0_820]),
[final] ).
cnf(i_0_1302,plain,
( image_1828608335e_bool(cOMBK_1039769424_state(X3),X2) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X3)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_821,c_0_636]),
[final] ).
cnf(i_0_1303,plain,
( image_70449425e_bool(cOMBK_1706929794_pname(X3),X2) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X3)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_822,c_0_636]),
[final] ).
cnf(i_0_1304,plain,
( image_516545147_state(cOMBK_1503445380e_bool(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_823,c_0_625]),
[final] ).
cnf(i_0_1305,plain,
( image_18964633_state(cOMBK_701929478e_bool(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2)) ),
inference(rw,[status(thm)],[i_0_824,c_0_625]),
[final] ).
cnf(i_0_1306,plain,
( image_2003357581_state(cOMBK_367030522_pname(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(rw,[status(thm)],[i_0_825,c_0_625]),
[final] ).
cnf(i_0_1307,plain,
( cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X2)),X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_826,c_0_463]),c_0_636]),
[final] ).
cnf(i_0_1308,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X2)),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_827,c_0_454]),c_0_625]),
[final] ).
cnf(i_0_1309,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,X1),X2)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_828,c_0_463]),c_0_463]),c_0_463]),
[final] ).
cnf(i_0_1310,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,X1),X2)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_829,c_0_454]),c_0_454]),c_0_454]),
[final] ).
cnf(i_0_1311,plain,
( X1 = X2
| ~ is_fun1661590463l_bool(X1)
| ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_830]),
[final] ).
cnf(i_0_1312,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)],[i_0_831]),
[final] ).
cnf(i_0_1313,plain,
( X1 = X2
| ~ 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)],[i_0_832]),
[final] ).
cnf(i_0_1314,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X1,X2)),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_754]),
[final] ).
cnf(i_0_1315,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk34_2(X1,X2)),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_755]),
[final] ).
cnf(i_0_1316,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)) = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(rw,[status(thm)],[i_0_833,c_0_625]),
[final] ).
cnf(i_0_1317,plain,
( X1 = X2
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_834]),
[final] ).
cnf(i_0_1318,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_835]),
[final] ).
cnf(i_0_1319,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_836]),
[final] ).
cnf(i_0_1320,hypothesis,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)),fa)),
inference(split_conjunct,[status(thm)],[i_0_837]),
[final] ).
cnf(i_0_1321,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,X2))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1)) = bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[i_0_525]),
[final] ).
cnf(i_0_1322,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1)) = bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[i_0_526]),
[final] ).
cnf(i_0_1323,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_838]),
[final] ).
cnf(i_0_1324,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X3)) ),
inference(split_conjunct,[status(thm)],[i_0_839]),
[final] ).
cnf(i_0_1325,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X1),X2)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_840,c_0_463]),c_0_463]),
[final] ).
cnf(i_0_1326,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,X2),X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_841,c_0_463]),c_0_463]),
[final] ).
cnf(i_0_1327,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X1),X2)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_842,c_0_454]),c_0_454]),
[final] ).
cnf(i_0_1328,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,X2),X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_843,c_0_454]),c_0_454]),
[final] ).
cnf(i_0_1329,plain,
( hBOOL(hAPP_f1022807134l_bool(finite34021339l_bool,collec256567069l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(ord_le889598034l_bool),X1))))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_844]),
[final] ).
cnf(i_0_1330,plain,
( hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool,collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool),X1))))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_845]),
[final] ).
cnf(i_0_1331,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,collec488126193l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(ord_le287025148l_bool),X1))))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_846]),
[final] ).
cnf(i_0_1332,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_847]),
[final] ).
cnf(i_0_1333,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_848]),
[final] ).
cnf(i_0_1334,plain,
cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)) != bot_bo620288102e_bool,
inference(rw,[status(thm)],[i_0_849,c_0_625]),
[final] ).
cnf(i_0_1335,plain,
bot_bo620288102e_bool != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),
inference(rw,[status(thm)],[i_0_850,c_0_625]),
[final] ).
cnf(i_0_1336,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,X2))
| collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1)) = bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[i_0_527]),
[final] ).
cnf(i_0_1337,plain,
( hBOOL(hAPP_pname_bool(X1,X2))
| collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1)) = bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[i_0_528]),
[final] ).
cnf(i_0_1338,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X1),X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_851]),
[final] ).
cnf(i_0_1339,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X2))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1))
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_852]),
[final] ).
cnf(i_0_1340,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)],[i_0_853]),
[final] ).
cnf(i_0_1341,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_854]),
[final] ).
cnf(i_0_1342,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_855]),
[final] ).
cnf(i_0_1343,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,X2))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_856]),
[final] ).
cnf(i_0_1344,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)],[i_0_857]),
[final] ).
cnf(i_0_1345,plain,
( 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,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_858]),
[final] ).
cnf(i_0_1346,plain,
( cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),dom_fu1342267980ol_com(X1))) = dom_fu1342267980ol_com(X1)
| hAPP_f2134636538on_com(X1,X2) != some_com(X3) ),
inference(rw,[status(thm)],[i_0_859,c_0_636]),
[final] ).
cnf(i_0_1347,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_860]),
[final] ).
cnf(i_0_1348,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_861]),
[final] ).
cnf(i_0_1349,plain,
( X1 = bot_bo1649642514l_bool
| image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ is_fun1661590463l_bool(X1) ),
inference(rw,[status(thm)],[i_0_862,c_0_625]),
[final] ).
cnf(i_0_1350,plain,
( X1 = bot_bo844097828e_bool
| image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool))
| ~ is_fun_pname_bool(X1) ),
inference(rw,[status(thm)],[i_0_863,c_0_636]),
[final] ).
cnf(i_0_1351,plain,
( X1 = bot_bo844097828e_bool
| image_2003357581_state(cOMBK_367030522_pname(X2),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))
| ~ is_fun_pname_bool(X1) ),
inference(rw,[status(thm)],[i_0_864,c_0_625]),
[final] ).
cnf(i_0_1352,plain,
( X1 = bot_bo535777328l_bool
| image_18964633_state(cOMBK_701929478e_bool(X2),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) ),
inference(rw,[status(thm)],[i_0_865,c_0_625]),
[final] ).
cnf(i_0_1353,plain,
( X1 = bot_bo620288102e_bool
| image_1828608335e_bool(cOMBK_1039769424_state(X2),X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)) ),
inference(rw,[status(thm)],[i_0_866,c_0_636]),
[final] ).
cnf(i_0_1354,plain,
( hBOOL(hAPP_H78829294e_bool(X2,X1))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_867]),
[final] ).
cnf(i_0_1355,plain,
( hBOOL(hAPP_pname_bool(X2,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_868]),
[final] ).
cnf(i_0_1356,plain,
hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_869,c_0_454]),c_0_625]),
[final] ).
cnf(i_0_1357,plain,
hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_870,c_0_463]),c_0_636]),
[final] ).
cnf(i_0_1358,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_871,c_0_454]),c_0_625]),
[final] ).
cnf(i_0_1359,plain,
hAPP_f72706945l_bool(fequal1311889615e_bool,X1) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_872,c_0_463]),c_0_636]),
[final] ).
cnf(i_0_1360,plain,
( X1 != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_873]),
[final] ).
cnf(i_0_1361,plain,
( X1 != bot_bo844097828e_bool
| ~ is_pname(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_874]),
[final] ).
cnf(i_0_1362,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| X2 != bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_875]),
[final] ).
cnf(i_0_1363,plain,
( ~ is_pname(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| X2 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_876]),
[final] ).
cnf(i_0_1364,plain,
( X1 = X2
| ~ is_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_877]),
[final] ).
cnf(i_0_1365,plain,
( X1 = X2
| ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_878]),
[final] ).
cnf(i_0_1366,plain,
is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_]),
[final] ).
cnf(i_0_1367,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,hAPP_f72706945l_bool(cOMBC_449066458l_bool(ord_le1285840794e_bool),X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(rw,[status(thm)],[i_0_879,c_0_463]),
[final] ).
cnf(i_0_1368,plain,
( cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),X1) = bot_bo535777328l_bool
| hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_880,c_0_463]),
[final] ).
cnf(i_0_1369,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),X1) = bot_bo620288102e_bool
| hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_881,c_0_454]),
[final] ).
cnf(i_0_1370,plain,
( hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_882]),
[final] ).
cnf(i_0_1371,plain,
( hBOOL(X1)
| hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_883]),
[final] ).
cnf(i_0_1372,plain,
( hBOOL(X1)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_884]),
[final] ).
cnf(i_0_1373,plain,
( hBOOL(X2)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_885]),
[final] ).
cnf(i_0_1374,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_867]),
[final] ).
cnf(i_0_1375,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_868]),
[final] ).
cnf(i_0_1376,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)],[i_0_886]),
[final] ).
cnf(i_0_1377,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,insert203537868l_bool(X2,X1)))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_887]),
[final] ).
cnf(i_0_1378,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_1761575943l_bool(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_888]),
[final] ).
cnf(i_0_1379,plain,
( hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,image_288317893l_bool(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_889]),
[final] ).
cnf(i_0_1380,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,insert1117693814l_bool(X2,X1)))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_890]),
[final] ).
cnf(i_0_1381,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1210605179l_bool(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_891]),
[final] ).
cnf(i_0_1382,plain,
( hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,image_1642285373l_bool(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_892]),
[final] ).
cnf(i_0_1383,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_1828608335e_bool(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_893]),
[final] ).
cnf(i_0_1384,plain,
( hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,image_70449425e_bool(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_894]),
[final] ).
cnf(i_0_1385,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_2131964411e_bool(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_895]),
[final] ).
cnf(i_0_1386,plain,
( hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_896]),
[final] ).
cnf(i_0_1387,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_897]),
[final] ).
cnf(i_0_1388,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X2,X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_898]),
[final] ).
cnf(i_0_1389,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X2,X1)))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_899]),
[final] ).
cnf(i_0_1390,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X2,X1)))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_900]),
[final] ).
cnf(i_0_1391,plain,
( hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_901]),
[final] ).
cnf(i_0_1392,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X2,X1)))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_902]),
[final] ).
cnf(i_0_1393,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X2,X1)))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_903]),
[final] ).
cnf(i_0_1394,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X2,X1)))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_904]),
[final] ).
cnf(i_0_1395,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1)))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_905]),
[final] ).
cnf(i_0_1396,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X2,X1)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_906]),
[final] ).
cnf(i_0_1397,plain,
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X2,X1)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_907]),
[final] ).
cnf(i_0_1398,plain,
( X1 != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_908]),
[final] ).
cnf(i_0_1399,plain,
( X1 != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_909]),
[final] ).
cnf(i_0_1400,plain,
( X1 != bot_bo620288102e_bool
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_910]),
[final] ).
cnf(i_0_1401,plain,
( X1 != bot_bo620288102e_bool
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_911]),
[final] ).
cnf(i_0_1402,plain,
( X1 != bot_bo1649642514l_bool
| ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_912]),
[final] ).
cnf(i_0_1403,plain,
( X1 != bot_bo844097828e_bool
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_913]),
[final] ).
cnf(i_0_1404,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| X2 != bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_914]),
[final] ).
cnf(i_0_1405,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| X2 != bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_915]),
[final] ).
cnf(i_0_1406,plain,
( X1 = X2
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_916]),
[final] ).
cnf(i_0_1407,plain,
( X1 = X2
| ~ hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_917]),
[final] ).
cnf(i_0_1408,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),dom_pname_com(X1)))
| hAPP_p799580910on_com(X1,X2) != some_com(X3) ),
inference(split_conjunct,[status(thm)],[i_0_918]),
[final] ).
cnf(i_0_1409,plain,
( X1 = bot_bo620288102e_bool
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool)) ),
inference(split_conjunct,[status(thm)],[i_0_919]),
[final] ).
cnf(i_0_1410,plain,
~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
inference(split_conjunct,[status(thm)],[i_0_920]),
[final] ).
cnf(i_0_1411,plain,
~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
inference(split_conjunct,[status(thm)],[i_0_921]),
[final] ).
cnf(i_0_1412,plain,
~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
inference(split_conjunct,[status(thm)],[i_0_922]),
[final] ).
cnf(i_0_1413,plain,
~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
inference(split_conjunct,[status(thm)],[i_0_923]),
[final] ).
cnf(i_0_1414,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[i_0_924]),
[final] ).
cnf(i_0_1415,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[i_0_925]),
[final] ).
cnf(i_0_1416,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[i_0_926]),
[final] ).
cnf(i_0_1417,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[i_0_927]),
[final] ).
cnf(i_0_1418,plain,
( cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fconj,hAPP_f72706945l_bool(fequal1311889615e_bool,X2)),X1) = bot_bo535777328l_bool
| hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_928,c_0_463]),
[final] ).
cnf(i_0_1419,plain,
( cOMBS_458705923l_bool(cOMBB_962198420_state(fconj,hAPP_H1049623551e_bool(fequal1111551311_state,X2)),X1) = bot_bo620288102e_bool
| hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_929,c_0_454]),
[final] ).
cnf(i_0_1420,plain,
( hAPP_p799580910on_com(body,X1) = some_com(esk33_1(X1))
| ~ hBOOL(wt(hAPP_pname_com(body_1,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_930]),
[final] ).
cnf(i_0_1421,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk17_1(X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_873]),
[final] ).
cnf(i_0_1422,plain,
( hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk13_1(X1)),X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_875]),
[final] ).
cnf(i_0_1423,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk20_1(X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_874]),
[final] ).
cnf(i_0_1424,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk16_1(X1)),X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_876]),
[final] ).
cnf(i_0_1425,plain,
( is_pname(esk34_2(X1,X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_755]),
[final] ).
cnf(i_0_1426,plain,
hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X3),hAPP_f166538662l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_931]),
[final] ).
cnf(i_0_1427,plain,
hAPP_f1935102916l_bool(cOMBS_811933079l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f32027384l_bool(X1,X3),hAPP_f1935102916l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_932]),
[final] ).
cnf(i_0_1428,plain,
hAPP_f971112728l_bool(cOMBS_2066081387l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_f637090980l_bool(X1,X3),hAPP_f971112728l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_933]),
[final] ).
cnf(i_0_1429,plain,
hAPP_f1664156314l_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)],[i_0_934]),
[final] ).
cnf(i_0_1430,plain,
hAPP_H78829294e_bool(cOMBS_458705923l_bool(X1,X2),X3) = hAPP_bool_bool(hAPP_H1187982158l_bool(X1,X3),hAPP_H78829294e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_935]),
[final] ).
cnf(i_0_1431,plain,
hAPP_pname_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)],[i_0_936]),
[final] ).
cnf(i_0_1432,plain,
( hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk18_1(X1)),X1))
| X1 = bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_908]),
[final] ).
cnf(i_0_1433,plain,
( X1 = bot_bo535777328l_bool
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,esk14_1(X1)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_914]),
[final] ).
cnf(i_0_1434,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk19_1(X1)),X1))
| X1 = bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_910]),
[final] ).
cnf(i_0_1435,plain,
( X1 = bot_bo620288102e_bool
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk15_1(X1)),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_915]),
[final] ).
cnf(i_0_1436,plain,
( 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(split_conjunct,[status(thm)],[i_0_831]),
[final] ).
cnf(i_0_1437,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1
| ~ is_fun_pname_bool(X2)
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_831]),
[final] ).
cnf(i_0_1438,plain,
hAPP_f468958928l_bool(hAPP_f667366769l_bool(cOMBC_747715418l_bool(X1),X2),X3) = hAPP_f468958928l_bool(hAPP_f667366769l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_937]),
[final] ).
cnf(i_0_1439,plain,
hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(X1),X2),X3) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_938]),
[final] ).
cnf(i_0_1440,plain,
hAPP_f166538662l_bool(hAPP_f585161855l_bool(cOMBC_1691491604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f585161855l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_939]),
[final] ).
cnf(i_0_1441,plain,
hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_940]),
[final] ).
cnf(i_0_1442,plain,
hAPP_f971112728l_bool(hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(X1),X2),X3) = hAPP_f166538662l_bool(hAPP_f210337421l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_941]),
[final] ).
cnf(i_0_1443,plain,
hAPP_f971112728l_bool(hAPP_f72706945l_bool(cOMBC_449066458l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_f72706945l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_942]),
[final] ).
cnf(i_0_1444,plain,
hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_943]),
[final] ).
cnf(i_0_1445,plain,
hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_944]),
[final] ).
cnf(i_0_1446,plain,
hAPP_H78829294e_bool(hAPP_f98417237e_bool(cOMBC_1734175330l_bool(X1),X2),X3) = hAPP_f971112728l_bool(hAPP_H30606679l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_945]),
[final] ).
cnf(i_0_1447,plain,
hAPP_H78829294e_bool(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(X1),X2),X3) = hAPP_H78829294e_bool(hAPP_H1049623551e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_946]),
[final] ).
cnf(i_0_1448,plain,
hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_947]),
[final] ).
cnf(i_0_1449,plain,
hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3) = hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2),
inference(split_conjunct,[status(thm)],[i_0_948]),
[final] ).
cnf(i_0_1450,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))
| ~ hBOOL(X1)
| ~ hBOOL(X2) ),
inference(split_conjunct,[status(thm)],[i_0_949]),
[final] ).
cnf(i_0_1451,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_950]),
[final] ).
cnf(i_0_1452,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_951]),
[final] ).
cnf(i_0_1453,plain,
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_952]),
[final] ).
cnf(i_0_1454,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_886]),
[final] ).
cnf(i_0_1455,plain,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2)) ),
inference(split_conjunct,[status(thm)],[i_0_953]),
[final] ).
cnf(i_0_1456,plain,
hAPP_f2143399574l_bool(cOMBB_404111180l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f166538662l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_954]),
[final] ).
cnf(i_0_1457,plain,
hAPP_f637090980l_bool(cOMBB_1585081418e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f971112728l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_955]),
[final] ).
cnf(i_0_1458,plain,
hAPP_f32027384l_bool(cOMBB_689948150l_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1935102916l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_956]),
[final] ).
cnf(i_0_1459,plain,
hAPP_H1187982158l_bool(cOMBB_962198420_state(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_H78829294e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_957]),
[final] ).
cnf(i_0_1460,plain,
hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_958]),
[final] ).
cnf(i_0_1461,plain,
hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3) = hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_959]),
[final] ).
cnf(i_0_1462,plain,
hAPP_p1422361149_state(cOMBB_699532858_pname(X1,X2),X3) = hAPP_c1126217667_state(X1,hAPP_pname_com(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_960]),
[final] ).
cnf(i_0_1463,plain,
hAPP_pname_com(cOMBB_923936821_pname(X1,X2),X3) = hAPP_option_com_com(X1,hAPP_p799580910on_com(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_961]),
[final] ).
cnf(i_0_1464,plain,
hAPP_f971112728l_bool(cOMBB_1522210668e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f971112728l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_962]),
[final] ).
cnf(i_0_1465,plain,
hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_963]),
[final] ).
cnf(i_0_1466,plain,
hAPP_H78829294e_bool(cOMBB_2144135922_state(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_H78829294e_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_964]),
[final] ).
cnf(i_0_1467,plain,
hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3) = hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_965]),
[final] ).
cnf(i_0_1468,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_966]),
[final] ).
cnf(i_0_1469,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_835]),
[final] ).
cnf(i_0_1470,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_835]),
[final] ).
cnf(i_0_1471,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_967]),
[final] ).
cnf(i_0_1472,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_968]),
[final] ).
cnf(i_0_1473,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_968]),
[final] ).
cnf(i_0_1474,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_969]),
[final] ).
cnf(i_0_1475,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_970]),
[final] ).
cnf(i_0_1476,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_971]),
[final] ).
cnf(i_0_1477,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_972]),
[final] ).
cnf(i_0_1478,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_972]),
[final] ).
cnf(i_0_1479,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_973]),
[final] ).
cnf(i_0_1480,plain,
( hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_974]),
[final] ).
cnf(i_0_1481,plain,
( hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_975]),
[final] ).
cnf(i_0_1482,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_976]),
[final] ).
cnf(i_0_1483,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(split_conjunct,[status(thm)],[i_0_977]),
[final] ).
cnf(i_0_1484,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),bot_bo620288102e_bool))
| X1 != bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_919]),
[final] ).
cnf(i_0_1485,plain,
hBOOL(hAPP_f166538662l_bool(hAPP_f585161855l_bool(ord_le287025148l_bool,bot_bo535777328l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_978]),
[final] ).
cnf(i_0_1486,plain,
hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,bot_bo1649642514l_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_979]),
[final] ).
cnf(i_0_1487,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_980]),
[final] ).
cnf(i_0_1488,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)),
inference(split_conjunct,[status(thm)],[i_0_981]),
[final] ).
cnf(i_0_1489,plain,
( collec1613912337l_bool(X1) != bot_bo1537088220l_bool
| ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(hAPP_f1935102916l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_982]),
[final] ).
cnf(i_0_1490,plain,
( collec1974731493e_bool(X1) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_983]),
[final] ).
cnf(i_0_1491,plain,
( collect_pname(X1) != bot_bo844097828e_bool
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_984]),
[final] ).
cnf(i_0_1492,plain,
( bot_bo1537088220l_bool != collec1613912337l_bool(X1)
| ~ is_fun1661590463l_bool(X2)
| ~ hBOOL(hAPP_f1935102916l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_985]),
[final] ).
cnf(i_0_1493,plain,
( bot_bo1649642514l_bool != collec1974731493e_bool(X1)
| ~ is_fun_pname_bool(X2)
| ~ hBOOL(hAPP_f1664156314l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1494,plain,
( bot_bo844097828e_bool != collect_pname(X1)
| ~ is_pname(X2)
| ~ hBOOL(hAPP_pname_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1495,plain,
( X1 = X2
| hAPP_pname_com(body_1,X1) != hAPP_pname_com(body_1,X2)
| ~ is_pname(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_988]),
[final] ).
cnf(i_0_1496,plain,
( collec488126193l_bool(X1) != bot_bo1761158942l_bool
| ~ hBOOL(hAPP_f166538662l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_989]),
[final] ).
cnf(i_0_1497,plain,
( bot_bo1761158942l_bool != collec488126193l_bool(X1)
| ~ hBOOL(hAPP_f166538662l_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_990]),
[final] ).
cnf(i_0_1498,plain,
( ~ hBOOL(hAPP_bool_bool(fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[i_0_991]),
[final] ).
cnf(i_0_1499,plain,
( bot_bo535777328l_bool != X1
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_992,c_0_463]),
[final] ).
cnf(i_0_1500,plain,
( bot_bo620288102e_bool != X1
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_993,c_0_454]),
[final] ).
cnf(i_0_1501,plain,
( X1 != bot_bo535777328l_bool
| ~ hBOOL(hAPP_f971112728l_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_994,c_0_463]),
[final] ).
cnf(i_0_1502,plain,
( X1 != bot_bo620288102e_bool
| ~ hBOOL(hAPP_H78829294e_bool(X1,X2)) ),
inference(rw,[status(thm)],[i_0_995,c_0_454]),
[final] ).
cnf(i_0_1503,plain,
is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J]),
[final] ).
cnf(i_0_1504,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,esk1_1(X1)))
| collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
inference(split_conjunct,[status(thm)],[i_0_982]),
[final] ).
cnf(i_0_1505,plain,
( hBOOL(hAPP_f166538662l_bool(X1,esk2_1(X1)))
| collec488126193l_bool(X1) = bot_bo1761158942l_bool ),
inference(split_conjunct,[status(thm)],[i_0_989]),
[final] ).
cnf(i_0_1506,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,esk4_1(X1)))
| collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[i_0_983]),
[final] ).
cnf(i_0_1507,plain,
( hBOOL(hAPP_pname_bool(X1,esk6_1(X1)))
| collect_pname(X1) = bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[i_0_984]),
[final] ).
cnf(i_0_1508,plain,
( hBOOL(hAPP_f166538662l_bool(X1,esk8_1(X1)))
| bot_bo1761158942l_bool = collec488126193l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_990]),
[final] ).
cnf(i_0_1509,plain,
( hBOOL(hAPP_f1935102916l_bool(X1,esk7_1(X1)))
| bot_bo1537088220l_bool = collec1613912337l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_985]),
[final] ).
cnf(i_0_1510,plain,
( hBOOL(hAPP_f1664156314l_bool(X1,esk10_1(X1)))
| bot_bo1649642514l_bool = collec1974731493e_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1511,plain,
( hBOOL(hAPP_pname_bool(X1,esk12_1(X1)))
| bot_bo844097828e_bool = collect_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1512,plain,
( is_bool(hAPP_f1664156314l_bool(X1,X2))
| ~ is_fun1661590463l_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_996]),
[final] ).
cnf(i_0_1513,plain,
( is_bool(hAPP_pname_bool(X1,X2))
| ~ is_fun_pname_bool(X1)
| ~ is_pname(X2) ),
inference(split_conjunct,[status(thm)],[i_0_997]),
[final] ).
cnf(i_0_1514,plain,
( bot_bo535777328l_bool = X1
| hBOOL(hAPP_f971112728l_bool(X1,esk9_1(X1))) ),
inference(rw,[status(thm)],[i_0_998,c_0_463]),
[final] ).
cnf(i_0_1515,plain,
( bot_bo620288102e_bool = X1
| hBOOL(hAPP_H78829294e_bool(X1,esk11_1(X1))) ),
inference(rw,[status(thm)],[i_0_999,c_0_454]),
[final] ).
cnf(i_0_1516,plain,
( X1 = bot_bo535777328l_bool
| hBOOL(hAPP_f971112728l_bool(X1,esk3_1(X1))) ),
inference(rw,[status(thm)],[i_0_1000,c_0_463]),
[final] ).
cnf(i_0_1517,plain,
( X1 = bot_bo620288102e_bool
| hBOOL(hAPP_H78829294e_bool(X1,esk5_1(X1))) ),
inference(rw,[status(thm)],[i_0_1001,c_0_454]),
[final] ).
cnf(i_0_1518,plain,
( hBOOL(wt(X2))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != some_com(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1002]),
[final] ).
cnf(i_0_1519,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[i_0_1003]),
[final] ).
cnf(i_0_1520,plain,
( is_pname(hAPP_f1297739591_pname(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1004]),
[final] ).
cnf(i_0_1521,plain,
( is_pname(hAPP_pname_pname(X2,X1))
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1005]),
[final] ).
cnf(i_0_1522,plain,
( is_bool(hAPP_f1935102916l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1006]),
[final] ).
cnf(i_0_1523,plain,
( is_bool(hAPP_bool_bool(X2,X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1007]),
[final] ).
cnf(i_0_1524,plain,
( is_fun1661590463l_bool(hAPP_f559147733l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1008]),
[final] ).
cnf(i_0_1525,plain,
( is_fun1661590463l_bool(hAPP_f434788991l_bool(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1009]),
[final] ).
cnf(i_0_1526,plain,
( is_fun1661590463l_bool(hAPP_p338031245l_bool(X2,X1))
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1010]),
[final] ).
cnf(i_0_1527,plain,
( is_fun1661590463l_bool(image_47868345e_bool(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1011]),
[final] ).
cnf(i_0_1528,plain,
( is_fun1661590463l_bool(cOMBS_350070575l_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1012]),
[final] ).
cnf(i_0_1529,plain,
( is_fun1661590463l_bool(cOMBB_307249310e_bool(X2,X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1013]),
[final] ).
cnf(i_0_1530,plain,
( is_fun_pname_bool(hAPP_f759274231e_bool(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1014]),
[final] ).
cnf(i_0_1531,plain,
( is_fun_pname_bool(hAPP_p61793385e_bool(X2,X1))
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1015]),
[final] ).
cnf(i_0_1532,plain,
( is_fun_pname_bool(image_1283814551_pname(X2,X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1016]),
[final] ).
cnf(i_0_1533,plain,
( is_fun_pname_bool(image_pname_pname(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1017]),
[final] ).
cnf(i_0_1534,plain,
( is_fun_pname_bool(cOMBS_568398431l_bool(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1018]),
[final] ).
cnf(i_0_1535,plain,
( is_fun_pname_bool(cOMBB_647938656_pname(X2,X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1019]),
[final] ).
cnf(i_0_1536,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,dom_pname_com(body))),
inference(split_conjunct,[status(thm)],[fact_298_finite__dom__body]),
[final] ).
cnf(i_0_1537,plain,
( hBOOL(X1)
| hBOOL(hAPP_bool_bool(fNot,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1020]),
[final] ).
cnf(i_0_1538,plain,
( X2 = bot_bo844097828e_bool
| image_2003357581_state(X1,X2) != bot_bo620288102e_bool
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1539,plain,
( X2 = bot_bo844097828e_bool
| bot_bo620288102e_bool != image_2003357581_state(X1,X2)
| ~ is_fun_pname_bool(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1540,plain,
is_pname(hAPP_f560369737_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1023]),
[final] ).
cnf(i_0_1541,plain,
is_pname(hAPP_H1621176307_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1024]),
[final] ).
cnf(i_0_1542,plain,
is_bool(hAPP_f1022807134l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1025]),
[final] ).
cnf(i_0_1543,plain,
is_bool(hAPP_f595608956l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1026]),
[final] ).
cnf(i_0_1544,plain,
is_bool(hAPP_f468958928l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1027]),
[final] ).
cnf(i_0_1545,plain,
is_bool(hAPP_f389811538l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1028]),
[final] ).
cnf(i_0_1546,plain,
is_bool(hAPP_f166538662l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1029]),
[final] ).
cnf(i_0_1547,hypothesis,
is_bool(hAPP_f971112728l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1030]),
[final] ).
cnf(i_0_1548,plain,
is_bool(hAPP_H78829294e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1031]),
[final] ).
cnf(i_0_1549,plain,
is_fun1661590463l_bool(image_2131964411e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1032]),
[final] ).
cnf(i_0_1550,plain,
is_fun_pname_bool(hAPP_H356885323e_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1033]),
[final] ).
cnf(i_0_1551,plain,
is_fun_pname_bool(image_1619336331_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1034]),
[final] ).
cnf(i_0_1552,plain,
is_fun_pname_bool(image_1705983821_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1035]),
[final] ).
cnf(i_0_1553,plain,
is_fun_pname_bool(image_187965177_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1036]),
[final] ).
cnf(i_0_1554,plain,
is_fun_pname_bool(image_54689091_pname(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_1037]),
[final] ).
cnf(i_0_1555,plain,
( image_70449425e_bool(cOMBK_1706929794_pname(X2),X1) = bot_bo535777328l_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_572]),
[final] ).
cnf(i_0_1556,plain,
( image_516545147_state(cOMBK_1503445380e_bool(X2),X1) = bot_bo620288102e_bool
| X1 != bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_571]),
[final] ).
cnf(i_0_1557,plain,
( image_2003357581_state(cOMBK_367030522_pname(X2),X1) = bot_bo620288102e_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_573]),
[final] ).
cnf(i_0_1558,plain,
( image_1283814551_pname(cOMBK_948730864e_bool(X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_548]),
[final] ).
cnf(i_0_1559,plain,
( image_47868345e_bool(cOMBK_37193422_pname(X2),X1) = bot_bo1649642514l_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_549]),
[final] ).
cnf(i_0_1560,plain,
( image_pname_pname(cOMBK_pname_pname(X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_550]),
[final] ).
cnf(i_0_1561,plain,
( hAPP_f166538662l_bool(cOMBK_482404831l_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1038]),
[final] ).
cnf(i_0_1562,plain,
( hAPP_f971112728l_bool(cOMBK_129401207e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1039]),
[final] ).
cnf(i_0_1563,plain,
( hAPP_f560369737_pname(cOMBK_1589414042e_bool(X1),X2) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1040]),
[final] ).
cnf(i_0_1564,plain,
( hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1041]),
[final] ).
cnf(i_0_1565,plain,
( hAPP_f1297739591_pname(cOMBK_948730864e_bool(X1),X2) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1042]),
[final] ).
cnf(i_0_1566,plain,
( hAPP_H356885323e_bool(cOMBK_2035509764_state(X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1043]),
[final] ).
cnf(i_0_1567,plain,
( hAPP_H78829294e_bool(cOMBK_659609255_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1044]),
[final] ).
cnf(i_0_1568,plain,
( hAPP_H1621176307_pname(cOMBK_168215364_state(X1),X2) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1045]),
[final] ).
cnf(i_0_1569,plain,
( hAPP_p61793385e_bool(cOMBK_37193422_pname(X1),X2) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1046]),
[final] ).
cnf(i_0_1570,plain,
( hAPP_pname_bool(cOMBK_bool_pname(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1047]),
[final] ).
cnf(i_0_1571,plain,
( hAPP_pname_pname(cOMBK_pname_pname(X1),X2) = X1
| ~ is_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1048]),
[final] ).
cnf(i_0_1572,plain,
hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,bot_bo1761158942l_bool)),
inference(split_conjunct,[status(thm)],[fact_46_finite_OemptyI]),
[final] ).
cnf(i_0_1573,plain,
hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,bot_bo1537088220l_bool)),
inference(split_conjunct,[status(thm)],[fact_45_finite_OemptyI]),
[final] ).
cnf(i_0_1574,plain,
hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,bot_bo535777328l_bool)),
inference(split_conjunct,[status(thm)],[fact_47_finite_OemptyI]),
[final] ).
cnf(i_0_1575,plain,
hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)),
inference(split_conjunct,[status(thm)],[fact_48_finite_OemptyI]),
[final] ).
cnf(i_0_1576,hypothesis,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,fa)),
inference(split_conjunct,[status(thm)],[conj_2]),
[final] ).
cnf(i_0_1577,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[fact_44_finite_OemptyI]),
[final] ).
cnf(i_0_1578,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)),
inference(split_conjunct,[status(thm)],[fact_43_finite_OemptyI]),
[final] ).
cnf(i_0_1579,plain,
( image_2003357581_state(X2,X1) = bot_bo620288102e_bool
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1021]),
[final] ).
cnf(i_0_1580,plain,
( bot_bo620288102e_bool = image_2003357581_state(X2,X1)
| X1 != bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1022]),
[final] ).
cnf(i_0_1581,plain,
( image_1828608335e_bool(cOMBK_1039769424_state(X2),X1) = bot_bo535777328l_bool
| X1 != bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_575]),
[final] ).
cnf(i_0_1582,plain,
( image_18964633_state(cOMBK_701929478e_bool(X2),X1) = bot_bo620288102e_bool
| X1 != bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_574]),
[final] ).
cnf(i_0_1583,plain,
( image_187965177_pname(cOMBK_1589414042e_bool(X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo535777328l_bool ),
inference(split_conjunct,[status(thm)],[i_0_553]),
[final] ).
cnf(i_0_1584,plain,
( image_2131964411e_bool(cOMBK_2035509764_state(X2),X1) = bot_bo1649642514l_bool
| X1 != bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_554]),
[final] ).
cnf(i_0_1585,plain,
( image_54689091_pname(cOMBK_168215364_state(X2),X1) = bot_bo844097828e_bool
| X1 != bot_bo620288102e_bool ),
inference(split_conjunct,[status(thm)],[i_0_555]),
[final] ).
cnf(i_0_1586,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1049]),
[final] ).
cnf(i_0_1587,plain,
hAPP_f1387463497_state(cOMBK_701929478e_bool(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1050]),
[final] ).
cnf(i_0_1588,plain,
hAPP_f888949707_state(cOMBK_1503445380e_bool(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1051]),
[final] ).
cnf(i_0_1589,plain,
hAPP_p442853985e_bool(cOMBK_1706929794_pname(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1052]),
[final] ).
cnf(i_0_1590,plain,
hAPP_H1049623551e_bool(cOMBK_1039769424_state(X1),X2) = X1,
inference(split_conjunct,[status(thm)],[i_0_1053]),
[final] ).
cnf(i_0_1591,plain,
( is_fun_pname_bool(esk17_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_873]),
[final] ).
cnf(i_0_1592,plain,
( is_fun_pname_bool(esk13_1(X1))
| X1 = bot_bo1649642514l_bool
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_875]),
[final] ).
cnf(i_0_1593,plain,
( is_pname(esk20_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_874]),
[final] ).
cnf(i_0_1594,plain,
( is_pname(esk16_1(X1))
| X1 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_876]),
[final] ).
cnf(i_0_1595,plain,
( is_fun1661590463l_bool(collec1974731493e_bool(X1))
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1054]),
[final] ).
cnf(i_0_1596,plain,
( is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1055]),
[final] ).
cnf(i_0_1597,plain,
( is_fun_pname_bool(collect_pname(X1))
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1056]),
[final] ).
cnf(i_0_1598,plain,
( is_fun_pname_bool(cOMBK_bool_pname(X1))
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1057]),
[final] ).
cnf(i_0_1599,plain,
( is_fun1661590463l_bool(esk1_1(X1))
| collec1613912337l_bool(X1) = bot_bo1537088220l_bool ),
inference(split_conjunct,[status(thm)],[i_0_982]),
[final] ).
cnf(i_0_1600,plain,
( is_fun_pname_bool(esk4_1(X1))
| collec1974731493e_bool(X1) = bot_bo1649642514l_bool ),
inference(split_conjunct,[status(thm)],[i_0_983]),
[final] ).
cnf(i_0_1601,plain,
( is_pname(esk6_1(X1))
| collect_pname(X1) = bot_bo844097828e_bool ),
inference(split_conjunct,[status(thm)],[i_0_984]),
[final] ).
cnf(i_0_1602,plain,
( is_fun1661590463l_bool(esk7_1(X1))
| bot_bo1537088220l_bool = collec1613912337l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_985]),
[final] ).
cnf(i_0_1603,plain,
( is_fun_pname_bool(esk10_1(X1))
| bot_bo1649642514l_bool = collec1974731493e_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_986]),
[final] ).
cnf(i_0_1604,plain,
( is_pname(esk12_1(X1))
| bot_bo844097828e_bool = collect_pname(X1) ),
inference(split_conjunct,[status(thm)],[i_0_987]),
[final] ).
cnf(i_0_1605,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]),
[final] ).
cnf(i_0_1606,plain,
image_2003357581_state(X1,bot_bo844097828e_bool) = bot_bo620288102e_bool,
inference(split_conjunct,[status(thm)],[i_0_1058]),
[final] ).
cnf(i_0_1607,plain,
( collec1974731493e_bool(X1) = X1
| ~ is_fun1661590463l_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1059]),
[final] ).
cnf(i_0_1608,plain,
( collect_pname(X1) = X1
| ~ is_fun_pname_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1060]),
[final] ).
cnf(i_0_1609,plain,
is_bool(wt(X1)),
inference(split_conjunct,[status(thm)],[i_0_1061]),
[final] ).
cnf(i_0_1610,plain,
is_fun1661590463l_bool(dom_fu2081503504ol_com(X1)),
inference(split_conjunct,[status(thm)],[i_0_1062]),
[final] ).
cnf(i_0_1611,hypothesis,
is_fun_pname_bool(dom_pname_com(X1)),
inference(split_conjunct,[status(thm)],[i_0_1063]),
[final] ).
cnf(i_0_1612,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1064]),
[final] ).
cnf(i_0_1613,plain,
is_pname(undefined_pname(pname)),
inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Com__Opname]),
[final] ).
cnf(i_0_1614,plain,
bot_bo1761158942l_bool = collec488126193l_bool(cOMBK_482404831l_bool(fFalse)),
inference(split_conjunct,[status(thm)],[fact_163_empty__def]),
[final] ).
cnf(i_0_1615,plain,
bot_bo1649642514l_bool = collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)),
inference(split_conjunct,[status(thm)],[fact_165_empty__def]),
[final] ).
cnf(i_0_1616,plain,
bot_bo844097828e_bool = collect_pname(cOMBK_bool_pname(fFalse)),
inference(split_conjunct,[status(thm)],[fact_167_empty__def]),
[final] ).
cnf(i_0_1617,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[i_0_1065]),
[final] ).
cnf(i_0_1618,hypothesis,
hBOOL(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[conj_0]),
[final] ).
cnf(i_0_1619,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]),
[final] ).
cnf(i_0_1620,hypothesis,
is_pname(pn),
inference(split_conjunct,[status(thm)],[gsy_v_pn]),
[final] ).
cnf(i_0_1621,plain,
is_bool(fTrue),
inference(split_conjunct,[status(thm)],[gsy_c_fTrue]),
[final] ).
cnf(i_0_1622,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]),
[final] ).
cnf(i_0_1623,hypothesis,
is_bool(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[gsy_c_Hoare__Mirabelle__jfehddehev_Ostate__not__singleton]),
[final] ).
cnf(i_0_1624,hypothesis,
is_bool(wT_bodies),
inference(split_conjunct,[status(thm)],[gsy_c_Com_OWT__bodies]),
[final] ).
cnf(i_0_1625,plain,
is_fun1661590463l_bool(bot_bo1649642514l_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__]),
[final] ).
cnf(i_0_1626,plain,
is_fun1661590463l_bool(finite_finite_pname),
inference(split_conjunct,[status(thm)],[gsy_c_Finite__Set_Ofinite_000tc__Com__Opname]),
[final] ).
cnf(i_0_1627,plain,
is_fun_pname_bool(bot_bo844097828e_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J]),
[final] ).
cnf(i_0_1628,plain,
bot_bo535777328l_bool = cOMBK_129401207e_bool(fFalse),
inference(rw,[status(thm)],[i_0_1066,c_0_463]),
[final] ).
cnf(i_0_1629,plain,
bot_bo620288102e_bool = cOMBK_659609255_state(fFalse),
inference(rw,[status(thm)],[i_0_1067,c_0_454]),
[final] ).
cnf(i_0_1630,axiom,
X1 = X1 ).
cnf(i_0_1631,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1632,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1633,axiom,
( X1 != X2
| hAPP_f971112728l_bool(X1,X3) = hAPP_f971112728l_bool(X2,X3) ) ).
cnf(i_0_1634,axiom,
( X1 != X2
| hAPP_f971112728l_bool(X3,X1) = hAPP_f971112728l_bool(X3,X2) ) ).
cnf(i_0_1635,axiom,
( X1 != X2
| image_18964633_state(X1,X3) = image_18964633_state(X2,X3) ) ).
cnf(i_0_1636,axiom,
( X1 != X2
| image_18964633_state(X3,X1) = image_18964633_state(X3,X2) ) ).
cnf(i_0_1637,axiom,
( X1 != X2
| image_516545147_state(X1,X3) = image_516545147_state(X2,X3) ) ).
cnf(i_0_1638,axiom,
( X1 != X2
| image_516545147_state(X3,X1) = image_516545147_state(X3,X2) ) ).
cnf(i_0_1639,axiom,
( X1 != X2
| hAPP_p442853985e_bool(X1,X3) = hAPP_p442853985e_bool(X2,X3) ) ).
cnf(i_0_1640,axiom,
( X1 != X2
| hAPP_p442853985e_bool(X3,X1) = hAPP_p442853985e_bool(X3,X2) ) ).
cnf(i_0_1641,axiom,
( X1 != X2
| hAPP_H356885323e_bool(X1,X3) = hAPP_H356885323e_bool(X2,X3) ) ).
cnf(i_0_1642,axiom,
( X1 != X2
| hAPP_H356885323e_bool(X3,X1) = hAPP_H356885323e_bool(X3,X2) ) ).
cnf(i_0_1643,axiom,
( X1 != X2
| hAPP_f888949707_state(X1,X3) = hAPP_f888949707_state(X2,X3) ) ).
cnf(i_0_1644,axiom,
( X1 != X2
| hAPP_f888949707_state(X3,X1) = hAPP_f888949707_state(X3,X2) ) ).
cnf(i_0_1645,axiom,
( X1 != X2
| hAPP_f1387463497_state(X1,X3) = hAPP_f1387463497_state(X2,X3) ) ).
cnf(i_0_1646,axiom,
( X1 != X2
| hAPP_f1387463497_state(X3,X1) = hAPP_f1387463497_state(X3,X2) ) ).
cnf(i_0_1647,axiom,
( X1 != X2
| hAPP_option_com_com(X1,X3) = hAPP_option_com_com(X2,X3) ) ).
cnf(i_0_1648,axiom,
( X1 != X2
| hAPP_option_com_com(X3,X1) = hAPP_option_com_com(X3,X2) ) ).
cnf(i_0_1649,axiom,
( X1 != X2
| hAPP_f560369737_pname(X1,X3) = hAPP_f560369737_pname(X2,X3) ) ).
cnf(i_0_1650,axiom,
( X1 != X2
| hAPP_f560369737_pname(X3,X1) = hAPP_f560369737_pname(X3,X2) ) ).
cnf(i_0_1651,axiom,
( X1 != X2
| hAPP_f1297739591_pname(X1,X3) = hAPP_f1297739591_pname(X2,X3) ) ).
cnf(i_0_1652,axiom,
( X1 != X2
| hAPP_f1297739591_pname(X3,X1) = hAPP_f1297739591_pname(X3,X2) ) ).
cnf(i_0_1653,axiom,
( X1 != X2
| hAPP_H1621176307_pname(X1,X3) = hAPP_H1621176307_pname(X2,X3) ) ).
cnf(i_0_1654,axiom,
( X1 != X2
| hAPP_H1621176307_pname(X3,X1) = hAPP_H1621176307_pname(X3,X2) ) ).
cnf(i_0_1655,axiom,
( X1 != X2
| hAPP_pname_pname(X1,X3) = hAPP_pname_pname(X2,X3) ) ).
cnf(i_0_1656,axiom,
( X1 != X2
| hAPP_pname_pname(X3,X1) = hAPP_pname_pname(X3,X2) ) ).
cnf(i_0_1657,axiom,
( X1 != X2
| hAPP_p799580910on_com(X1,X3) = hAPP_p799580910on_com(X2,X3) ) ).
cnf(i_0_1658,axiom,
( X1 != X2
| hAPP_p799580910on_com(X3,X1) = hAPP_p799580910on_com(X3,X2) ) ).
cnf(i_0_1659,axiom,
( X1 != X2
| dom_fu1342267980ol_com(X1) = dom_fu1342267980ol_com(X2) ) ).
cnf(i_0_1660,axiom,
( X1 != X2
| hAPP_f2134636538on_com(X1,X3) = hAPP_f2134636538on_com(X2,X3) ) ).
cnf(i_0_1661,axiom,
( X1 != X2
| hAPP_f2134636538on_com(X3,X1) = hAPP_f2134636538on_com(X3,X2) ) ).
cnf(i_0_1662,axiom,
( X1 != X2
| hAPP_f1935102916l_bool(X1,X3) = hAPP_f1935102916l_bool(X2,X3) ) ).
cnf(i_0_1663,axiom,
( X1 != X2
| hAPP_f1935102916l_bool(X3,X1) = hAPP_f1935102916l_bool(X3,X2) ) ).
cnf(i_0_1664,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_1665,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_1666,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_1667,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_1668,axiom,
( X1 != X2
| hAPP_f2143399574l_bool(X1,X3) = hAPP_f2143399574l_bool(X2,X3) ) ).
cnf(i_0_1669,axiom,
( X1 != X2
| hAPP_f2143399574l_bool(X3,X1) = hAPP_f2143399574l_bool(X3,X2) ) ).
cnf(i_0_1670,axiom,
( X1 != X2
| hAPP_f32027384l_bool(X1,X3) = hAPP_f32027384l_bool(X2,X3) ) ).
cnf(i_0_1671,axiom,
( X1 != X2
| hAPP_f32027384l_bool(X3,X1) = hAPP_f32027384l_bool(X3,X2) ) ).
cnf(i_0_1672,axiom,
( X1 != X2
| hAPP_f637090980l_bool(X1,X3) = hAPP_f637090980l_bool(X2,X3) ) ).
cnf(i_0_1673,axiom,
( X1 != X2
| hAPP_f637090980l_bool(X3,X1) = hAPP_f637090980l_bool(X3,X2) ) ).
cnf(i_0_1674,axiom,
( X1 != X2
| hAPP_f1476298914l_bool(X1,X3) = hAPP_f1476298914l_bool(X2,X3) ) ).
cnf(i_0_1675,axiom,
( X1 != X2
| hAPP_f1476298914l_bool(X3,X1) = hAPP_f1476298914l_bool(X3,X2) ) ).
cnf(i_0_1676,axiom,
( X1 != X2
| hAPP_H1187982158l_bool(X1,X3) = hAPP_H1187982158l_bool(X2,X3) ) ).
cnf(i_0_1677,axiom,
( X1 != X2
| hAPP_H1187982158l_bool(X3,X1) = hAPP_H1187982158l_bool(X3,X2) ) ).
cnf(i_0_1678,axiom,
( X1 != X2
| hAPP_p393069232l_bool(X1,X3) = hAPP_p393069232l_bool(X2,X3) ) ).
cnf(i_0_1679,axiom,
( X1 != X2
| hAPP_p393069232l_bool(X3,X1) = hAPP_p393069232l_bool(X3,X2) ) ).
cnf(i_0_1680,axiom,
( X1 != X2
| collec1974731493e_bool(X1) = collec1974731493e_bool(X2) ) ).
cnf(i_0_1681,axiom,
( X1 != X2
| cOMBK_129401207e_bool(X1) = cOMBK_129401207e_bool(X2) ) ).
cnf(i_0_1682,axiom,
( X1 != X2
| cOMBK_659609255_state(X1) = cOMBK_659609255_state(X2) ) ).
cnf(i_0_1683,axiom,
( X1 != X2
| hAPP_f1664156314l_bool(X1,X3) = hAPP_f1664156314l_bool(X2,X3) ) ).
cnf(i_0_1684,axiom,
( X1 != X2
| hAPP_f1664156314l_bool(X3,X1) = hAPP_f1664156314l_bool(X3,X2) ) ).
cnf(i_0_1685,axiom,
( X1 != X2
| collect_pname(X1) = collect_pname(X2) ) ).
cnf(i_0_1686,axiom,
( X1 != X2
| hAPP_p61793385e_bool(X1,X3) = hAPP_p61793385e_bool(X2,X3) ) ).
cnf(i_0_1687,axiom,
( X1 != X2
| hAPP_p61793385e_bool(X3,X1) = hAPP_p61793385e_bool(X3,X2) ) ).
cnf(i_0_1688,axiom,
( X1 != X2
| cOMBS_458705923l_bool(X1,X3) = cOMBS_458705923l_bool(X2,X3) ) ).
cnf(i_0_1689,axiom,
( X1 != X2
| cOMBS_458705923l_bool(X3,X1) = cOMBS_458705923l_bool(X3,X2) ) ).
cnf(i_0_1690,axiom,
( X1 != X2
| hAPP_f166538662l_bool(X1,X3) = hAPP_f166538662l_bool(X2,X3) ) ).
cnf(i_0_1691,axiom,
( X1 != X2
| hAPP_f166538662l_bool(X3,X1) = hAPP_f166538662l_bool(X3,X2) ) ).
cnf(i_0_1692,axiom,
( X1 != X2
| cOMBS_2066081387l_bool(X1,X3) = cOMBS_2066081387l_bool(X2,X3) ) ).
cnf(i_0_1693,axiom,
( X1 != X2
| cOMBS_2066081387l_bool(X3,X1) = cOMBS_2066081387l_bool(X3,X2) ) ).
cnf(i_0_1694,axiom,
( X1 != X2
| hAPP_f72706945l_bool(X1,X3) = hAPP_f72706945l_bool(X2,X3) ) ).
cnf(i_0_1695,axiom,
( X1 != X2
| hAPP_f72706945l_bool(X3,X1) = hAPP_f72706945l_bool(X3,X2) ) ).
cnf(i_0_1696,axiom,
( X1 != X2
| hAPP_H1049623551e_bool(X1,X3) = hAPP_H1049623551e_bool(X2,X3) ) ).
cnf(i_0_1697,axiom,
( X1 != X2
| hAPP_H1049623551e_bool(X3,X1) = hAPP_H1049623551e_bool(X3,X2) ) ).
cnf(i_0_1698,axiom,
( X1 != X2
| image_2003357581_state(X1,X3) = image_2003357581_state(X2,X3) ) ).
cnf(i_0_1699,axiom,
( X1 != X2
| image_2003357581_state(X3,X1) = image_2003357581_state(X3,X2) ) ).
cnf(i_0_1700,axiom,
( X1 != X2
| dom_pname_com(X1) = dom_pname_com(X2) ) ).
cnf(i_0_1701,axiom,
( X1 != X2
| hAPP_pname_bool(X1,X3) = hAPP_pname_bool(X2,X3) ) ).
cnf(i_0_1702,axiom,
( X1 != X2
| hAPP_pname_bool(X3,X1) = hAPP_pname_bool(X3,X2) ) ).
cnf(i_0_1703,axiom,
( X1 != X2
| hAPP_H78829294e_bool(X1,X3) = hAPP_H78829294e_bool(X2,X3) ) ).
cnf(i_0_1704,axiom,
( X1 != X2
| hAPP_H78829294e_bool(X3,X1) = hAPP_H78829294e_bool(X3,X2) ) ).
cnf(i_0_1705,axiom,
( X1 != X2
| hAPP_p1422361149_state(X1,X3) = hAPP_p1422361149_state(X2,X3) ) ).
cnf(i_0_1706,axiom,
( X1 != X2
| hAPP_p1422361149_state(X3,X1) = hAPP_p1422361149_state(X3,X2) ) ).
cnf(i_0_1707,axiom,
( X1 != X2
| image_187965177_pname(X1,X3) = image_187965177_pname(X2,X3) ) ).
cnf(i_0_1708,axiom,
( X1 != X2
| image_187965177_pname(X3,X1) = image_187965177_pname(X3,X2) ) ).
cnf(i_0_1709,axiom,
( X1 != X2
| image_1283814551_pname(X1,X3) = image_1283814551_pname(X2,X3) ) ).
cnf(i_0_1710,axiom,
( X1 != X2
| image_1283814551_pname(X3,X1) = image_1283814551_pname(X3,X2) ) ).
cnf(i_0_1711,axiom,
( X1 != X2
| image_2131964411e_bool(X1,X3) = image_2131964411e_bool(X2,X3) ) ).
cnf(i_0_1712,axiom,
( X1 != X2
| image_2131964411e_bool(X3,X1) = image_2131964411e_bool(X3,X2) ) ).
cnf(i_0_1713,axiom,
( X1 != X2
| hAPP_c1126217667_state(X1,X3) = hAPP_c1126217667_state(X2,X3) ) ).
cnf(i_0_1714,axiom,
( X1 != X2
| hAPP_c1126217667_state(X3,X1) = hAPP_c1126217667_state(X3,X2) ) ).
cnf(i_0_1715,axiom,
( X1 != X2
| image_54689091_pname(X1,X3) = image_54689091_pname(X2,X3) ) ).
cnf(i_0_1716,axiom,
( X1 != X2
| image_54689091_pname(X3,X1) = image_54689091_pname(X3,X2) ) ).
cnf(i_0_1717,axiom,
( X1 != X2
| image_47868345e_bool(X1,X3) = image_47868345e_bool(X2,X3) ) ).
cnf(i_0_1718,axiom,
( X1 != X2
| image_47868345e_bool(X3,X1) = image_47868345e_bool(X3,X2) ) ).
cnf(i_0_1719,axiom,
( X1 != X2
| image_pname_pname(X1,X3) = image_pname_pname(X2,X3) ) ).
cnf(i_0_1720,axiom,
( X1 != X2
| image_pname_pname(X3,X1) = image_pname_pname(X3,X2) ) ).
cnf(i_0_1721,axiom,
( X1 != X2
| hAPP_f468958928l_bool(X1,X3) = hAPP_f468958928l_bool(X2,X3) ) ).
cnf(i_0_1722,axiom,
( X1 != X2
| hAPP_f468958928l_bool(X3,X1) = hAPP_f468958928l_bool(X3,X2) ) ).
cnf(i_0_1723,axiom,
( X1 != X2
| collec488126193l_bool(X1) = collec488126193l_bool(X2) ) ).
cnf(i_0_1724,axiom,
( X1 != X2
| hAPP_pname_com(X1,X3) = hAPP_pname_com(X2,X3) ) ).
cnf(i_0_1725,axiom,
( X1 != X2
| hAPP_pname_com(X3,X1) = hAPP_pname_com(X3,X2) ) ).
cnf(i_0_1726,axiom,
( X1 != X2
| hAPP_f389811538l_bool(X1,X3) = hAPP_f389811538l_bool(X2,X3) ) ).
cnf(i_0_1727,axiom,
( X1 != X2
| hAPP_f389811538l_bool(X3,X1) = hAPP_f389811538l_bool(X3,X2) ) ).
cnf(i_0_1728,axiom,
( X1 != X2
| collec1613912337l_bool(X1) = collec1613912337l_bool(X2) ) ).
cnf(i_0_1729,axiom,
( X1 != X2
| dom_fu2081503504ol_com(X1) = dom_fu2081503504ol_com(X2) ) ).
cnf(i_0_1730,axiom,
( X1 != X2
| hAPP_f2138803836on_com(X1,X3) = hAPP_f2138803836on_com(X2,X3) ) ).
cnf(i_0_1731,axiom,
( X1 != X2
| hAPP_f2138803836on_com(X3,X1) = hAPP_f2138803836on_com(X3,X2) ) ).
cnf(i_0_1732,axiom,
( X1 != X2
| some_com(X1) = some_com(X2) ) ).
cnf(i_0_1733,axiom,
( X1 != X2
| image_1828608335e_bool(X1,X3) = image_1828608335e_bool(X2,X3) ) ).
cnf(i_0_1734,axiom,
( X1 != X2
| image_1828608335e_bool(X3,X1) = image_1828608335e_bool(X3,X2) ) ).
cnf(i_0_1735,axiom,
( X1 != X2
| image_70449425e_bool(X1,X3) = image_70449425e_bool(X2,X3) ) ).
cnf(i_0_1736,axiom,
( X1 != X2
| image_70449425e_bool(X3,X1) = image_70449425e_bool(X3,X2) ) ).
cnf(i_0_1737,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1738,axiom,
( X1 != X2
| ~ is_pname(X1)
| is_pname(X2) ) ).
cnf(i_0_1739,axiom,
( X1 != X2
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(X2) ) ).
cnf(i_0_1740,axiom,
( X1 != X2
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(X2) ) ).
cnf(i_0_1741,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_1630_001,axiom,
X1 = X1 ).
cnf(i_0_1631_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1632_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1633_004,axiom,
( X1 != X2
| hAPP_f971112728l_bool(X1,X3) = hAPP_f971112728l_bool(X2,X3) ) ).
cnf(i_0_1634_005,axiom,
( X1 != X2
| hAPP_f971112728l_bool(X3,X1) = hAPP_f971112728l_bool(X3,X2) ) ).
cnf(i_0_1635_006,axiom,
( X1 != X2
| image_18964633_state(X1,X3) = image_18964633_state(X2,X3) ) ).
cnf(i_0_1636_007,axiom,
( X1 != X2
| image_18964633_state(X3,X1) = image_18964633_state(X3,X2) ) ).
cnf(i_0_1637_008,axiom,
( X1 != X2
| image_516545147_state(X1,X3) = image_516545147_state(X2,X3) ) ).
cnf(i_0_1638_009,axiom,
( X1 != X2
| image_516545147_state(X3,X1) = image_516545147_state(X3,X2) ) ).
cnf(i_0_1639_010,axiom,
( X1 != X2
| hAPP_p442853985e_bool(X1,X3) = hAPP_p442853985e_bool(X2,X3) ) ).
cnf(i_0_1640_011,axiom,
( X1 != X2
| hAPP_p442853985e_bool(X3,X1) = hAPP_p442853985e_bool(X3,X2) ) ).
cnf(i_0_1641_012,axiom,
( X1 != X2
| hAPP_H356885323e_bool(X1,X3) = hAPP_H356885323e_bool(X2,X3) ) ).
cnf(i_0_1642_013,axiom,
( X1 != X2
| hAPP_H356885323e_bool(X3,X1) = hAPP_H356885323e_bool(X3,X2) ) ).
cnf(i_0_1643_014,axiom,
( X1 != X2
| hAPP_f888949707_state(X1,X3) = hAPP_f888949707_state(X2,X3) ) ).
cnf(i_0_1644_015,axiom,
( X1 != X2
| hAPP_f888949707_state(X3,X1) = hAPP_f888949707_state(X3,X2) ) ).
cnf(i_0_1645_016,axiom,
( X1 != X2
| hAPP_f1387463497_state(X1,X3) = hAPP_f1387463497_state(X2,X3) ) ).
cnf(i_0_1646_017,axiom,
( X1 != X2
| hAPP_f1387463497_state(X3,X1) = hAPP_f1387463497_state(X3,X2) ) ).
cnf(i_0_1647_018,axiom,
( X1 != X2
| hAPP_option_com_com(X1,X3) = hAPP_option_com_com(X2,X3) ) ).
cnf(i_0_1648_019,axiom,
( X1 != X2
| hAPP_option_com_com(X3,X1) = hAPP_option_com_com(X3,X2) ) ).
cnf(i_0_1649_020,axiom,
( X1 != X2
| hAPP_f560369737_pname(X1,X3) = hAPP_f560369737_pname(X2,X3) ) ).
cnf(i_0_1650_021,axiom,
( X1 != X2
| hAPP_f560369737_pname(X3,X1) = hAPP_f560369737_pname(X3,X2) ) ).
cnf(i_0_1651_022,axiom,
( X1 != X2
| hAPP_f1297739591_pname(X1,X3) = hAPP_f1297739591_pname(X2,X3) ) ).
cnf(i_0_1652_023,axiom,
( X1 != X2
| hAPP_f1297739591_pname(X3,X1) = hAPP_f1297739591_pname(X3,X2) ) ).
cnf(i_0_1653_024,axiom,
( X1 != X2
| hAPP_H1621176307_pname(X1,X3) = hAPP_H1621176307_pname(X2,X3) ) ).
cnf(i_0_1654_025,axiom,
( X1 != X2
| hAPP_H1621176307_pname(X3,X1) = hAPP_H1621176307_pname(X3,X2) ) ).
cnf(i_0_1655_026,axiom,
( X1 != X2
| hAPP_pname_pname(X1,X3) = hAPP_pname_pname(X2,X3) ) ).
cnf(i_0_1656_027,axiom,
( X1 != X2
| hAPP_pname_pname(X3,X1) = hAPP_pname_pname(X3,X2) ) ).
cnf(i_0_1657_028,axiom,
( X1 != X2
| hAPP_p799580910on_com(X1,X3) = hAPP_p799580910on_com(X2,X3) ) ).
cnf(i_0_1658_029,axiom,
( X1 != X2
| hAPP_p799580910on_com(X3,X1) = hAPP_p799580910on_com(X3,X2) ) ).
cnf(i_0_1659_030,axiom,
( X1 != X2
| dom_fu1342267980ol_com(X1) = dom_fu1342267980ol_com(X2) ) ).
cnf(i_0_1660_031,axiom,
( X1 != X2
| hAPP_f2134636538on_com(X1,X3) = hAPP_f2134636538on_com(X2,X3) ) ).
cnf(i_0_1661_032,axiom,
( X1 != X2
| hAPP_f2134636538on_com(X3,X1) = hAPP_f2134636538on_com(X3,X2) ) ).
cnf(i_0_1662_033,axiom,
( X1 != X2
| hAPP_f1935102916l_bool(X1,X3) = hAPP_f1935102916l_bool(X2,X3) ) ).
cnf(i_0_1663_034,axiom,
( X1 != X2
| hAPP_f1935102916l_bool(X3,X1) = hAPP_f1935102916l_bool(X3,X2) ) ).
cnf(i_0_1664_035,axiom,
( X1 != X2
| hAPP_bool_bool(X1,X3) = hAPP_bool_bool(X2,X3) ) ).
cnf(i_0_1665_036,axiom,
( X1 != X2
| hAPP_bool_bool(X3,X1) = hAPP_bool_bool(X3,X2) ) ).
cnf(i_0_1666_037,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X1,X3) = hAPP_b589554111l_bool(X2,X3) ) ).
cnf(i_0_1667_038,axiom,
( X1 != X2
| hAPP_b589554111l_bool(X3,X1) = hAPP_b589554111l_bool(X3,X2) ) ).
cnf(i_0_1668_039,axiom,
( X1 != X2
| hAPP_f2143399574l_bool(X1,X3) = hAPP_f2143399574l_bool(X2,X3) ) ).
cnf(i_0_1669_040,axiom,
( X1 != X2
| hAPP_f2143399574l_bool(X3,X1) = hAPP_f2143399574l_bool(X3,X2) ) ).
cnf(i_0_1670_041,axiom,
( X1 != X2
| hAPP_f32027384l_bool(X1,X3) = hAPP_f32027384l_bool(X2,X3) ) ).
cnf(i_0_1671_042,axiom,
( X1 != X2
| hAPP_f32027384l_bool(X3,X1) = hAPP_f32027384l_bool(X3,X2) ) ).
cnf(i_0_1672_043,axiom,
( X1 != X2
| hAPP_f637090980l_bool(X1,X3) = hAPP_f637090980l_bool(X2,X3) ) ).
cnf(i_0_1673_044,axiom,
( X1 != X2
| hAPP_f637090980l_bool(X3,X1) = hAPP_f637090980l_bool(X3,X2) ) ).
cnf(i_0_1674_045,axiom,
( X1 != X2
| hAPP_f1476298914l_bool(X1,X3) = hAPP_f1476298914l_bool(X2,X3) ) ).
cnf(i_0_1675_046,axiom,
( X1 != X2
| hAPP_f1476298914l_bool(X3,X1) = hAPP_f1476298914l_bool(X3,X2) ) ).
cnf(i_0_1676_047,axiom,
( X1 != X2
| hAPP_H1187982158l_bool(X1,X3) = hAPP_H1187982158l_bool(X2,X3) ) ).
cnf(i_0_1677_048,axiom,
( X1 != X2
| hAPP_H1187982158l_bool(X3,X1) = hAPP_H1187982158l_bool(X3,X2) ) ).
cnf(i_0_1678_049,axiom,
( X1 != X2
| hAPP_p393069232l_bool(X1,X3) = hAPP_p393069232l_bool(X2,X3) ) ).
cnf(i_0_1679_050,axiom,
( X1 != X2
| hAPP_p393069232l_bool(X3,X1) = hAPP_p393069232l_bool(X3,X2) ) ).
cnf(i_0_1680_051,axiom,
( X1 != X2
| collec1974731493e_bool(X1) = collec1974731493e_bool(X2) ) ).
cnf(i_0_1681_052,axiom,
( X1 != X2
| cOMBK_129401207e_bool(X1) = cOMBK_129401207e_bool(X2) ) ).
cnf(i_0_1682_053,axiom,
( X1 != X2
| cOMBK_659609255_state(X1) = cOMBK_659609255_state(X2) ) ).
cnf(i_0_1683_054,axiom,
( X1 != X2
| hAPP_f1664156314l_bool(X1,X3) = hAPP_f1664156314l_bool(X2,X3) ) ).
cnf(i_0_1684_055,axiom,
( X1 != X2
| hAPP_f1664156314l_bool(X3,X1) = hAPP_f1664156314l_bool(X3,X2) ) ).
cnf(i_0_1685_056,axiom,
( X1 != X2
| collect_pname(X1) = collect_pname(X2) ) ).
cnf(i_0_1686_057,axiom,
( X1 != X2
| hAPP_p61793385e_bool(X1,X3) = hAPP_p61793385e_bool(X2,X3) ) ).
cnf(i_0_1687_058,axiom,
( X1 != X2
| hAPP_p61793385e_bool(X3,X1) = hAPP_p61793385e_bool(X3,X2) ) ).
cnf(i_0_1688_059,axiom,
( X1 != X2
| cOMBS_458705923l_bool(X1,X3) = cOMBS_458705923l_bool(X2,X3) ) ).
cnf(i_0_1689_060,axiom,
( X1 != X2
| cOMBS_458705923l_bool(X3,X1) = cOMBS_458705923l_bool(X3,X2) ) ).
cnf(i_0_1690_061,axiom,
( X1 != X2
| hAPP_f166538662l_bool(X1,X3) = hAPP_f166538662l_bool(X2,X3) ) ).
cnf(i_0_1691_062,axiom,
( X1 != X2
| hAPP_f166538662l_bool(X3,X1) = hAPP_f166538662l_bool(X3,X2) ) ).
cnf(i_0_1692_063,axiom,
( X1 != X2
| cOMBS_2066081387l_bool(X1,X3) = cOMBS_2066081387l_bool(X2,X3) ) ).
cnf(i_0_1693_064,axiom,
( X1 != X2
| cOMBS_2066081387l_bool(X3,X1) = cOMBS_2066081387l_bool(X3,X2) ) ).
cnf(i_0_1694_065,axiom,
( X1 != X2
| hAPP_f72706945l_bool(X1,X3) = hAPP_f72706945l_bool(X2,X3) ) ).
cnf(i_0_1695_066,axiom,
( X1 != X2
| hAPP_f72706945l_bool(X3,X1) = hAPP_f72706945l_bool(X3,X2) ) ).
cnf(i_0_1696_067,axiom,
( X1 != X2
| hAPP_H1049623551e_bool(X1,X3) = hAPP_H1049623551e_bool(X2,X3) ) ).
cnf(i_0_1697_068,axiom,
( X1 != X2
| hAPP_H1049623551e_bool(X3,X1) = hAPP_H1049623551e_bool(X3,X2) ) ).
cnf(i_0_1698_069,axiom,
( X1 != X2
| image_2003357581_state(X1,X3) = image_2003357581_state(X2,X3) ) ).
cnf(i_0_1699_070,axiom,
( X1 != X2
| image_2003357581_state(X3,X1) = image_2003357581_state(X3,X2) ) ).
cnf(i_0_1700_071,axiom,
( X1 != X2
| dom_pname_com(X1) = dom_pname_com(X2) ) ).
cnf(i_0_1701_072,axiom,
( X1 != X2
| hAPP_pname_bool(X1,X3) = hAPP_pname_bool(X2,X3) ) ).
cnf(i_0_1702_073,axiom,
( X1 != X2
| hAPP_pname_bool(X3,X1) = hAPP_pname_bool(X3,X2) ) ).
cnf(i_0_1703_074,axiom,
( X1 != X2
| hAPP_H78829294e_bool(X1,X3) = hAPP_H78829294e_bool(X2,X3) ) ).
cnf(i_0_1704_075,axiom,
( X1 != X2
| hAPP_H78829294e_bool(X3,X1) = hAPP_H78829294e_bool(X3,X2) ) ).
cnf(i_0_1705_076,axiom,
( X1 != X2
| hAPP_p1422361149_state(X1,X3) = hAPP_p1422361149_state(X2,X3) ) ).
cnf(i_0_1706_077,axiom,
( X1 != X2
| hAPP_p1422361149_state(X3,X1) = hAPP_p1422361149_state(X3,X2) ) ).
cnf(i_0_1707_078,axiom,
( X1 != X2
| image_187965177_pname(X1,X3) = image_187965177_pname(X2,X3) ) ).
cnf(i_0_1708_079,axiom,
( X1 != X2
| image_187965177_pname(X3,X1) = image_187965177_pname(X3,X2) ) ).
cnf(i_0_1709_080,axiom,
( X1 != X2
| image_1283814551_pname(X1,X3) = image_1283814551_pname(X2,X3) ) ).
cnf(i_0_1710_081,axiom,
( X1 != X2
| image_1283814551_pname(X3,X1) = image_1283814551_pname(X3,X2) ) ).
cnf(i_0_1711_082,axiom,
( X1 != X2
| image_2131964411e_bool(X1,X3) = image_2131964411e_bool(X2,X3) ) ).
cnf(i_0_1712_083,axiom,
( X1 != X2
| image_2131964411e_bool(X3,X1) = image_2131964411e_bool(X3,X2) ) ).
cnf(i_0_1713_084,axiom,
( X1 != X2
| hAPP_c1126217667_state(X1,X3) = hAPP_c1126217667_state(X2,X3) ) ).
cnf(i_0_1714_085,axiom,
( X1 != X2
| hAPP_c1126217667_state(X3,X1) = hAPP_c1126217667_state(X3,X2) ) ).
cnf(i_0_1715_086,axiom,
( X1 != X2
| image_54689091_pname(X1,X3) = image_54689091_pname(X2,X3) ) ).
cnf(i_0_1716_087,axiom,
( X1 != X2
| image_54689091_pname(X3,X1) = image_54689091_pname(X3,X2) ) ).
cnf(i_0_1717_088,axiom,
( X1 != X2
| image_47868345e_bool(X1,X3) = image_47868345e_bool(X2,X3) ) ).
cnf(i_0_1718_089,axiom,
( X1 != X2
| image_47868345e_bool(X3,X1) = image_47868345e_bool(X3,X2) ) ).
cnf(i_0_1719_090,axiom,
( X1 != X2
| image_pname_pname(X1,X3) = image_pname_pname(X2,X3) ) ).
cnf(i_0_1720_091,axiom,
( X1 != X2
| image_pname_pname(X3,X1) = image_pname_pname(X3,X2) ) ).
cnf(i_0_1721_092,axiom,
( X1 != X2
| hAPP_f468958928l_bool(X1,X3) = hAPP_f468958928l_bool(X2,X3) ) ).
cnf(i_0_1722_093,axiom,
( X1 != X2
| hAPP_f468958928l_bool(X3,X1) = hAPP_f468958928l_bool(X3,X2) ) ).
cnf(i_0_1723_094,axiom,
( X1 != X2
| collec488126193l_bool(X1) = collec488126193l_bool(X2) ) ).
cnf(i_0_1724_095,axiom,
( X1 != X2
| hAPP_pname_com(X1,X3) = hAPP_pname_com(X2,X3) ) ).
cnf(i_0_1725_096,axiom,
( X1 != X2
| hAPP_pname_com(X3,X1) = hAPP_pname_com(X3,X2) ) ).
cnf(i_0_1726_097,axiom,
( X1 != X2
| hAPP_f389811538l_bool(X1,X3) = hAPP_f389811538l_bool(X2,X3) ) ).
cnf(i_0_1727_098,axiom,
( X1 != X2
| hAPP_f389811538l_bool(X3,X1) = hAPP_f389811538l_bool(X3,X2) ) ).
cnf(i_0_1728_099,axiom,
( X1 != X2
| collec1613912337l_bool(X1) = collec1613912337l_bool(X2) ) ).
cnf(i_0_1729_100,axiom,
( X1 != X2
| dom_fu2081503504ol_com(X1) = dom_fu2081503504ol_com(X2) ) ).
cnf(i_0_1730_101,axiom,
( X1 != X2
| hAPP_f2138803836on_com(X1,X3) = hAPP_f2138803836on_com(X2,X3) ) ).
cnf(i_0_1731_102,axiom,
( X1 != X2
| hAPP_f2138803836on_com(X3,X1) = hAPP_f2138803836on_com(X3,X2) ) ).
cnf(i_0_1732_103,axiom,
( X1 != X2
| some_com(X1) = some_com(X2) ) ).
cnf(i_0_1733_104,axiom,
( X1 != X2
| image_1828608335e_bool(X1,X3) = image_1828608335e_bool(X2,X3) ) ).
cnf(i_0_1734_105,axiom,
( X1 != X2
| image_1828608335e_bool(X3,X1) = image_1828608335e_bool(X3,X2) ) ).
cnf(i_0_1735_106,axiom,
( X1 != X2
| image_70449425e_bool(X1,X3) = image_70449425e_bool(X2,X3) ) ).
cnf(i_0_1736_107,axiom,
( X1 != X2
| image_70449425e_bool(X3,X1) = image_70449425e_bool(X3,X2) ) ).
cnf(i_0_1737_108,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1738_109,axiom,
( X1 != X2
| ~ is_pname(X1)
| is_pname(X2) ) ).
cnf(i_0_1739_110,axiom,
( X1 != X2
| ~ is_fun1661590463l_bool(X1)
| is_fun1661590463l_bool(X2) ) ).
cnf(i_0_1740_111,axiom,
( X1 != X2
| ~ is_fun_pname_bool(X1)
| is_fun_pname_bool(X2) ) ).
cnf(i_0_1741_112,axiom,
( X1 != X2
| ~ is_bool(X1)
| is_bool(X2) ) ).
cnf(i_0_1742,plain,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 = X2
| X2 = X1 ),
inference(equality_inference,[],[1071]) ).
cnf(i_0_1743,plain,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X1)
| ~ is_pname(X2)
| X2 = X2
| X2 = X1 ),
inference(equality_inference,[],[1072]) ).
cnf(i_0_1744,plain,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X2
| X1 = X2 ),
inference(equality_inference,[],[1073]) ).
cnf(i_0_1745,plain,
( ~ is_pname(X1)
| ~ is_pname(X2)
| ~ is_pname(X2)
| ~ is_pname(X1)
| X2 = X2
| X1 = X2 ),
inference(equality_inference,[],[1074]) ).
cnf(i_0_1746,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[1085]) ).
cnf(i_0_1747,plain,
( X1 = X1
| X1 = X2 ),
inference(equality_inference,[],[1086]) ).
cnf(i_0_1748,plain,
( X1 = X1
| X2 = X1 ),
inference(equality_inference,[],[1087]) ).
cnf(i_0_1749,plain,
( X1 = X1
| X2 = X1 ),
inference(equality_inference,[],[1088]) ).
cnf(i_0_1750,plain,
hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))),
inference(equality_inference,[],[1121]) ).
cnf(i_0_1751,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))),
inference(equality_inference,[],[1122]) ).
cnf(i_0_1752,plain,
( ~ is_pname(X1)
| ~ is_pname(X1)
| hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X1)) ),
inference(equality_inference,[],[1131]) ).
cnf(i_0_1753,plain,
( ~ is_fun_pname_bool(X1)
| ~ is_fun_pname_bool(X1)
| X1 = X1
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)) ),
inference(equality_inference,[],[1138]) ).
cnf(i_0_1754,plain,
( ~ is_pname(X1)
| ~ is_pname(X1)
| X1 = X1 ),
inference(equality_inference,[],[1147]) ).
cnf(i_0_1755,plain,
hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2)))),
inference(equality_inference,[],[1166]) ).
cnf(i_0_1756,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)))),
inference(equality_inference,[],[1168]) ).
cnf(i_0_1757,plain,
( X1 = X1
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X2),X1)) ),
inference(equality_inference,[],[1177]) ).
cnf(i_0_1758,plain,
hBOOL(hAPP_H78829294e_bool(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),X1)),
inference(equality_inference,[],[1178]) ).
cnf(i_0_1759,plain,
X1 = X1,
inference(equality_inference,[],[1203]) ).
cnf(i_0_1760,plain,
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X3,X1)),image_2003357581_state(X3,X2))) ),
inference(equality_inference,[],[1268]) ).
cnf(i_0_1761,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,hAPP_H1049623551e_bool(X3,X1)),image_1828608335e_bool(X3,X2))) ),
inference(equality_inference,[],[1290]) ).
cnf(i_0_1762,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,hAPP_p442853985e_bool(X3,X1)),image_70449425e_bool(X3,X2))) ),
inference(equality_inference,[],[1291]) ).
cnf(i_0_1763,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_H356885323e_bool(X3,X1)),image_2131964411e_bool(X3,X2))) ),
inference(equality_inference,[],[1292]) ).
cnf(i_0_1764,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_p61793385e_bool(X3,X1)),image_47868345e_bool(X3,X2))) ),
inference(equality_inference,[],[1293]) ).
cnf(i_0_1765,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_f888949707_state(X3,X1)),image_516545147_state(X3,X2))) ),
inference(equality_inference,[],[1294]) ).
cnf(i_0_1766,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_f1387463497_state(X3,X1)),image_18964633_state(X3,X2))) ),
inference(equality_inference,[],[1295]) ).
cnf(i_0_1767,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(equality_inference,[],[1297]) ).
cnf(i_0_1768,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f560369737_pname(X3,X1)),image_187965177_pname(X3,X2))) ),
inference(equality_inference,[],[1298]) ).
cnf(i_0_1769,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_f1297739591_pname(X3,X1)),image_1283814551_pname(X3,X2))) ),
inference(equality_inference,[],[1299]) ).
cnf(i_0_1770,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_H1621176307_pname(X3,X1)),image_54689091_pname(X3,X2))) ),
inference(equality_inference,[],[1300]) ).
cnf(i_0_1771,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X3,X1)),image_pname_pname(X3,X2))) ),
inference(equality_inference,[],[1301]) ).
cnf(i_0_1772,plain,
~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),bot_bo1649642514l_bool)),
inference(equality_inference,[],[1402]) ).
cnf(i_0_1773,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(equality_inference,[],[1403]) ).
cnf(i_0_1774,plain,
~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),bot_bo535777328l_bool)),
inference(equality_inference,[],[1404]) ).
cnf(i_0_1775,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),bot_bo620288102e_bool)),
inference(equality_inference,[],[1405]) ).
cnf(i_0_1776,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X1)),
inference(equality_inference,[],[1468]) ).
cnf(i_0_1777,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(equality_inference,[],[1472]) ).
cnf(i_0_1778,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(equality_inference,[],[1474]) ).
cnf(i_0_1779,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)),
inference(equality_inference,[],[1475]) ).
cnf(i_0_1780,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(equality_inference,[],[1477]) ).
cnf(i_0_1781,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(equality_inference,[],[1479]) ).
cnf(i_0_1782,plain,
hBOOL(hAPP_H78829294e_bool(hAPP_H1049623551e_bool(fequal1111551311_state,X1),X1)),
inference(equality_inference,[],[1480]) ).
cnf(i_0_1783,plain,
hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)),
inference(equality_inference,[],[1481]) ).
cnf(i_0_1784,plain,
( ~ is_pname(X1)
| ~ is_pname(X1)
| X1 = X1 ),
inference(equality_inference,[],[1495]) ).
cnf(i_0_1785,plain,
~ hBOOL(hAPP_f971112728l_bool(bot_bo535777328l_bool,X1)),
inference(equality_inference,[],[1499]) ).
cnf(i_0_1786,plain,
~ hBOOL(hAPP_H78829294e_bool(bot_bo620288102e_bool,X1)),
inference(equality_inference,[],[1500]) ).
cnf(i_0_1787,plain,
~ hBOOL(hAPP_f971112728l_bool(bot_bo535777328l_bool,X1)),
inference(equality_inference,[],[1501]) ).
cnf(i_0_1788,plain,
~ hBOOL(hAPP_H78829294e_bool(bot_bo620288102e_bool,X1)),
inference(equality_inference,[],[1502]) ).
cnf(i_0_1789,plain,
( ~ is_fun_pname_bool(bot_bo844097828e_bool)
| image_70449425e_bool(cOMBK_1706929794_pname(X1),bot_bo844097828e_bool) = bot_bo535777328l_bool ),
inference(equality_inference,[],[1555]) ).
cnf(i_0_1790,plain,
( ~ is_fun1661590463l_bool(bot_bo1649642514l_bool)
| image_516545147_state(cOMBK_1503445380e_bool(X1),bot_bo1649642514l_bool) = bot_bo620288102e_bool ),
inference(equality_inference,[],[1556]) ).
cnf(i_0_1791,plain,
( ~ is_fun1661590463l_bool(bot_bo1649642514l_bool)
| image_1283814551_pname(cOMBK_948730864e_bool(X1),bot_bo1649642514l_bool) = bot_bo844097828e_bool ),
inference(equality_inference,[],[1558]) ).
cnf(i_0_1792,plain,
( ~ is_fun_pname_bool(bot_bo844097828e_bool)
| image_47868345e_bool(cOMBK_37193422_pname(X1),bot_bo844097828e_bool) = bot_bo1649642514l_bool ),
inference(equality_inference,[],[1559]) ).
cnf(i_0_1793,plain,
( ~ is_fun_pname_bool(bot_bo844097828e_bool)
| image_pname_pname(cOMBK_pname_pname(X1),bot_bo844097828e_bool) = bot_bo844097828e_bool ),
inference(equality_inference,[],[1560]) ).
cnf(i_0_1794,plain,
( ~ is_fun_pname_bool(bot_bo844097828e_bool)
| image_2003357581_state(X1,bot_bo844097828e_bool) = bot_bo620288102e_bool ),
inference(equality_inference,[],[1579]) ).
cnf(i_0_1795,plain,
( ~ is_fun_pname_bool(bot_bo844097828e_bool)
| bot_bo620288102e_bool = image_2003357581_state(X1,bot_bo844097828e_bool) ),
inference(equality_inference,[],[1580]) ).
cnf(i_0_1796,plain,
image_1828608335e_bool(cOMBK_1039769424_state(X1),bot_bo620288102e_bool) = bot_bo535777328l_bool,
inference(equality_inference,[],[1581]) ).
cnf(i_0_1797,plain,
image_18964633_state(cOMBK_701929478e_bool(X1),bot_bo535777328l_bool) = bot_bo620288102e_bool,
inference(equality_inference,[],[1582]) ).
cnf(i_0_1798,plain,
image_187965177_pname(cOMBK_1589414042e_bool(X1),bot_bo535777328l_bool) = bot_bo844097828e_bool,
inference(equality_inference,[],[1583]) ).
cnf(i_0_1799,plain,
image_2131964411e_bool(cOMBK_2035509764_state(X1),bot_bo620288102e_bool) = bot_bo1649642514l_bool,
inference(equality_inference,[],[1584]) ).
cnf(i_0_1800,plain,
image_54689091_pname(cOMBK_168215364_state(X1),bot_bo620288102e_bool) = bot_bo844097828e_bool,
inference(equality_inference,[],[1585]) ).
cnf(i_0_1801,plain,
( ~ hBOOL(wt(X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,hAPP_pname_com(body_1,esk23_2(X1,X2))))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(scs_inference,[],[i_0_1618,i_0_1075]) ).
cnf(i_0_1802,plain,
( ~ hBOOL(wt(X1))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk23_2(X1,X2)),dom_pname_com(body)))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(scs_inference,[],[i_0_1618,i_0_1130]) ).
cnf(i_0_1803,plain,
( ~ hBOOL(wt(X1))
| is_pname(esk23_2(X1,X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(scs_inference,[],[i_0_1618,i_0_1139]) ).
cnf(i_0_1804,plain,
( ~ hBOOL(wt(X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))) ),
inference(scs_inference,[],[i_0_1619,i_0_1618,i_0_1140]) ).
cnf(i_0_1805,plain,
( hAPP_p799580910on_com(body,X1) != some_com(X2)
| hBOOL(wt(X2)) ),
inference(scs_inference,[],[i_0_1619,i_0_1518]) ).
cnf(i_0_1806,plain,
image_70449425e_bool(cOMBK_1706929794_pname(X1),bot_bo844097828e_bool) = bot_bo535777328l_bool,
inference(scs_inference,[],[i_0_1627,i_0_1789]) ).
cnf(i_0_1807,plain,
image_516545147_state(cOMBK_1503445380e_bool(X1),bot_bo1649642514l_bool) = bot_bo620288102e_bool,
inference(scs_inference,[],[i_0_1625,i_0_1790]) ).
cnf(i_0_1808,plain,
image_1283814551_pname(cOMBK_948730864e_bool(X1),bot_bo1649642514l_bool) = bot_bo844097828e_bool,
inference(scs_inference,[],[i_0_1625,i_0_1791]) ).
cnf(i_0_1809,plain,
image_47868345e_bool(cOMBK_37193422_pname(X1),bot_bo844097828e_bool) = bot_bo1649642514l_bool,
inference(scs_inference,[],[i_0_1627,i_0_1792]) ).
cnf(i_0_1810,plain,
image_pname_pname(cOMBK_pname_pname(X1),bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(scs_inference,[],[i_0_1627,i_0_1793]) ).
cnf(i_0_1811,plain,
bot_bo620288102e_bool = image_2003357581_state(X1,bot_bo844097828e_bool),
inference(scs_inference,[],[i_0_1627,i_0_1795]) ).
cnf(i_0_1812,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1)))),
inference(scs_inference,[],[i_0_1097,i_0_1105]) ).
cnf(i_0_1813,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3)))) ),
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_1814,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X1)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1105,i_0_1348]) ).
cnf(i_0_1815,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X1)) ),
inference(rename_variables,[],[i_0_1348]) ).
cnf(i_0_1816,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1417,i_0_1105,i_0_1348,i_0_1164]) ).
cnf(i_0_1817,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)),
inference(rename_variables,[],[i_0_1417]) ).
cnf(i_0_1818,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk24_3(X1,X2,X3)),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3))) ),
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_1819,plain,
image_187965177_pname(cOMBK_1589414042e_bool(X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X3))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1755,i_0_1417,i_0_1105,i_0_1348,i_0_1164,i_0_1204]) ).
cnf(i_0_1820,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| image_187965177_pname(cOMBK_1589414042e_bool(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rename_variables,[],[i_0_1204]) ).
cnf(i_0_1821,plain,
image_1283814551_pname(cOMBK_948730864e_bool(X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X3)))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1417,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205]) ).
cnf(i_0_1822,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| image_1283814551_pname(cOMBK_948730864e_bool(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1823,plain,
image_2131964411e_bool(cOMBK_2035509764_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1417,i_0_1170,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206]) ).
cnf(i_0_1824,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| image_2131964411e_bool(cOMBK_2035509764_state(X3),X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))) ),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1825,plain,
image_54689091_pname(cOMBK_168215364_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1417,i_0_1170,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207]) ).
cnf(i_0_1826,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| image_54689091_pname(cOMBK_168215364_state(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rename_variables,[],[i_0_1207]) ).
cnf(i_0_1827,plain,
image_47868345e_bool(cOMBK_37193422_pname(X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208]) ).
cnf(i_0_1828,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| image_47868345e_bool(cOMBK_37193422_pname(X3),X2) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X3)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool))) ),
inference(rename_variables,[],[i_0_1208]) ).
cnf(i_0_1829,plain,
image_pname_pname(cOMBK_pname_pname(X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209]) ).
cnf(i_0_1830,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| image_pname_pname(cOMBK_pname_pname(X3),X2) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))) ),
inference(rename_variables,[],[i_0_1209]) ).
cnf(i_0_1831,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,bot_bo844097828e_bool)),image_2003357581_state(X1,X2))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225]) ).
cnf(i_0_1832,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X3,X1)),image_2003357581_state(X3,X2))) ),
inference(rename_variables,[],[i_0_1225]) ).
cnf(i_0_1833,plain,
image_2003357581_state(X1,X2) = image_2003357581_state(X1,esk22_3(image_2003357581_state(X1,X2),X1,X2)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237]) ).
cnf(i_0_1834,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1835,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| X1 = image_2003357581_state(X2,esk22_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_1237]) ).
cnf(i_0_1836,plain,
is_fun_pname_bool(esk22_3(image_2003357581_state(X1,X2),X1,X2)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252]) ).
cnf(i_0_1837,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1838,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| is_fun_pname_bool(esk22_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1839,plain,
image_1828608335e_bool(cOMBK_1039769424_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X3))) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302]) ).
cnf(i_0_1840,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| image_1828608335e_bool(cOMBK_1039769424_state(X3),X2) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X3)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)) ),
inference(rename_variables,[],[i_0_1302]) ).
cnf(i_0_1841,plain,
image_70449425e_bool(cOMBK_1706929794_pname(X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303]) ).
cnf(i_0_1842,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| image_70449425e_bool(cOMBK_1706929794_pname(X3),X2) = cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X3)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),bot_bo535777328l_bool)) ),
inference(rename_variables,[],[i_0_1303]) ).
cnf(i_0_1843,plain,
image_516545147_state(cOMBK_1503445380e_bool(X1),collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X3)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304]) ).
cnf(i_0_1844,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| image_516545147_state(cOMBK_1503445380e_bool(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) ),
inference(rename_variables,[],[i_0_1304]) ).
cnf(i_0_1845,plain,
image_18964633_state(cOMBK_701929478e_bool(X1),cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X3))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305]) ).
cnf(i_0_1846,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| image_18964633_state(cOMBK_701929478e_bool(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) ),
inference(rename_variables,[],[i_0_1305]) ).
cnf(i_0_1847,plain,
image_2003357581_state(cOMBK_367030522_pname(X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306]) ).
cnf(i_0_1848,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| image_2003357581_state(cOMBK_367030522_pname(X3),X2) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X3)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)) ),
inference(rename_variables,[],[i_0_1306]) ).
cnf(i_0_1849,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,image_2003357581_state(X1,bot_bo844097828e_bool)),X2)),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314]) ).
cnf(i_0_1850,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,esk35_2(X1,X2)),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1)) ),
inference(rename_variables,[],[i_0_1314]) ).
cnf(i_0_1851,plain,
~ hBOOL(hAPP_H78829294e_bool(fa,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),
inference(scs_inference,[],[i_0_1097,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374]) ).
cnf(i_0_1852,plain,
( hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| ~ hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_1374]) ).
cnf(i_0_1853,plain,
bot_bo535777328l_bool != hAPP_f72706945l_bool(fequal1311889615e_bool,X1),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499]) ).
cnf(i_0_1854,plain,
( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
| bot_bo535777328l_bool != X1 ),
inference(rename_variables,[],[i_0_1499]) ).
cnf(i_0_1855,plain,
hAPP_f72706945l_bool(fequal1311889615e_bool,X1) != bot_bo535777328l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501]) ).
cnf(i_0_1856,plain,
( ~ hBOOL(hAPP_f971112728l_bool(X1,X2))
| X1 != bot_bo535777328l_bool ),
inference(rename_variables,[],[i_0_1501]) ).
cnf(i_0_1857,plain,
hBOOL(wt(y)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805]) ).
cnf(i_0_1858,plain,
( hAPP_p799580910on_com(body,X1) != some_com(X2)
| hBOOL(wt(X2)) ),
inference(rename_variables,[],[i_0_1805]) ).
cnf(i_0_1859,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X1,X2)),image_2003357581_state(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224]) ).
cnf(i_0_1860,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(X3,X1)),image_2003357581_state(X3,X2))) ),
inference(rename_variables,[],[i_0_1224]) ).
cnf(i_0_1861,plain,
hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X1)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355]) ).
cnf(i_0_1862,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_1355]) ).
cnf(i_0_1863,plain,
~ hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375]) ).
cnf(i_0_1864,plain,
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ~ hBOOL(hAPP_pname_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_1375]) ).
cnf(i_0_1865,plain,
collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))) != bot_bo1649642514l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402]) ).
cnf(i_0_1866,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| X2 != bot_bo1649642514l_bool ),
inference(rename_variables,[],[i_0_1402]) ).
cnf(i_0_1867,plain,
cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X1)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X2)) != bot_bo535777328l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404]) ).
cnf(i_0_1868,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| X2 != bot_bo535777328l_bool ),
inference(rename_variables,[],[i_0_1404]) ).
cnf(i_0_1869,plain,
~ hBOOL(hAPP_f166538662l_bool(cOMBK_482404831l_bool(fFalse),X1)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497]) ).
cnf(i_0_1870,plain,
( bot_bo1761158942l_bool != collec488126193l_bool(X1)
| ~ hBOOL(hAPP_f166538662l_bool(X1,X2)) ),
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1871,plain,
bot_bo620288102e_bool != hAPP_H1049623551e_bool(fequal1111551311_state,X1),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500]) ).
cnf(i_0_1872,plain,
( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
| bot_bo620288102e_bool != X1 ),
inference(rename_variables,[],[i_0_1500]) ).
cnf(i_0_1873,plain,
hAPP_H1049623551e_bool(fequal1111551311_state,X1) != bot_bo620288102e_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502]) ).
cnf(i_0_1874,plain,
( ~ hBOOL(hAPP_H78829294e_bool(X1,X2))
| X1 != bot_bo620288102e_bool ),
inference(rename_variables,[],[i_0_1502]) ).
cnf(i_0_1875,plain,
is_fun_pname_bool(esk4_1(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600]) ).
cnf(i_0_1876,plain,
( collec1974731493e_bool(X1) = bot_bo1649642514l_bool
| is_fun_pname_bool(esk4_1(X1)) ),
inference(rename_variables,[],[i_0_1600]) ).
cnf(i_0_1877,plain,
is_pname(esk6_1(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601]) ).
cnf(i_0_1878,plain,
( collect_pname(X1) = bot_bo844097828e_bool
| is_pname(esk6_1(X1)) ),
inference(rename_variables,[],[i_0_1601]) ).
cnf(i_0_1879,plain,
is_pname(esk12_1(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604]) ).
cnf(i_0_1880,plain,
( bot_bo844097828e_bool = collect_pname(X1)
| is_pname(esk12_1(X1)) ),
inference(rename_variables,[],[i_0_1604]) ).
cnf(i_0_1881,plain,
hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X2),hAPP_f166538662l_bool(X3,X2)) = hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X3),X2),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631]) ).
cnf(i_0_1882,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,cOMBB_923936821_pname(the_com,body)),dom_pname_com(body))),fa)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323]) ).
cnf(i_0_1883,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
inference(rename_variables,[],[i_0_1323]) ).
cnf(i_0_1884,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1487,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324]) ).
cnf(i_0_1885,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_1886,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3)) ),
inference(rename_variables,[],[i_0_1324]) ).
cnf(i_0_1887,plain,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(fa),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1487,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347]) ).
cnf(i_0_1888,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X2),X3)) ),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1889,plain,
is_pname(esk23_2(y,image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body)))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1487,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803]) ).
cnf(i_0_1890,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,X2))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))))
| ~ hBOOL(wt(X2))
| is_pname(esk23_2(X2,X1)) ),
inference(rename_variables,[],[i_0_1803]) ).
cnf(i_0_1891,plain,
hAPP_f971112728l_bool(hAPP_f72706945l_bool(fequal1311889615e_bool,X1),X1) != hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),hAPP_c1126217667_state(hoare_Mirabelle_MGT,y))),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1482,i_0_1834,i_0_1487,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737]) ).
cnf(i_0_1892,plain,
bot_bo620288102e_bool = image_2003357581_state(X1,esk36_3(X1,X2,bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1487,i_0_1885,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220]) ).
cnf(i_0_1893,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_1894,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| X1 = image_2003357581_state(X2,esk36_3(X2,X3,X1)) ),
inference(rename_variables,[],[i_0_1220]) ).
cnf(i_0_1895,plain,
is_fun_pname_bool(esk36_3(X1,X2,bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223]) ).
cnf(i_0_1896,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,bot_bo620288102e_bool),X1)),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_1897,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| is_fun_pname_bool(esk36_3(X2,X3,X1)) ),
inference(rename_variables,[],[i_0_1223]) ).
cnf(i_0_1898,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_892968839_state(X1,bot_bo1761158942l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279]) ).
cnf(i_0_1899,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1900,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_892968839_state(X2,X3)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
inference(rename_variables,[],[i_0_1279]) ).
cnf(i_0_1901,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_677922117_state(X1,bot_bo1537088220l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1573,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280]) ).
cnf(i_0_1902,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1903,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_677922117_state(X2,X3)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
inference(rename_variables,[],[i_0_1280]) ).
cnf(i_0_1904,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_18964633_state(X1,bot_bo535777328l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1573,i_0_1574,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281]) ).
cnf(i_0_1905,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1906,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_18964633_state(X2,X3)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(rename_variables,[],[i_0_1281]) ).
cnf(i_0_1907,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_516545147_state(X1,bot_bo1649642514l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282]) ).
cnf(i_0_1908,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1909,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_516545147_state(X2,X3)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1910,plain,
hBOOL(hAPP_f971112728l_bool(finite364844667_state,image_2003357581_state(X1,bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283]) ).
cnf(i_0_1911,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1912,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),image_2003357581_state(X2,X3)))
| hBOOL(hAPP_f971112728l_bool(finite364844667_state,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(rename_variables,[],[i_0_1283]) ).
cnf(i_0_1913,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_54689091_pname(X1,fa))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288]) ).
cnf(i_0_1914,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1915,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_54689091_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f971112728l_bool(finite364844667_state,X3)) ),
inference(rename_variables,[],[i_0_1288]) ).
cnf(i_0_1916,plain,
hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_H1049623551e_bool(X1,X2)),X3)),image_1828608335e_bool(X1,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X4))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290]) ).
cnf(i_0_1917,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1918,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),image_1828608335e_bool(X4,X2)))
| X3 != hAPP_H1049623551e_bool(X4,X1) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_1919,plain,
hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_H356885323e_bool(X1,X2)),X3)),image_2131964411e_bool(X1,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X4))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292]) ).
cnf(i_0_1920,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1921,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),image_2131964411e_bool(X4,X2)))
| X3 != hAPP_H356885323e_bool(X4,X1) ),
inference(rename_variables,[],[i_0_1292]) ).
cnf(i_0_1922,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_H1621176307_pname(X1,X2)),X3)),image_54689091_pname(X1,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X4))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300]) ).
cnf(i_0_1923,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1924,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),image_54689091_pname(X4,X2)))
| X3 != hAPP_H1621176307_pname(X4,X1) ),
inference(rename_variables,[],[i_0_1300]) ).
cnf(i_0_1925,plain,
~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool))),bot_bo620288102e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319]) ).
cnf(i_0_1926,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X2)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X1)))),
inference(rename_variables,[],[i_0_1171]) ).
cnf(i_0_1927,plain,
bot_bo620288102e_bool != cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X1)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),X2)),
inference(rename_variables,[],[i_0_1335]) ).
cnf(i_0_1928,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X2),X1))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1319]) ).
cnf(i_0_1929,plain,
esk36_3(X1,X2,bot_bo620288102e_bool) = bot_bo844097828e_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539]) ).
cnf(i_0_1930,plain,
( bot_bo620288102e_bool != image_2003357581_state(X1,X2)
| X2 = bot_bo844097828e_bool
| ~ is_fun_pname_bool(X2) ),
inference(rename_variables,[],[i_0_1539]) ).
cnf(i_0_1931,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1619336331_pname(X1,bot_bo1761158942l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284]) ).
cnf(i_0_1932,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1933,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1619336331_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f468958928l_bool(finite796539827l_bool,X3)) ),
inference(rename_variables,[],[i_0_1284]) ).
cnf(i_0_1934,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1705983821_pname(X1,bot_bo1537088220l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285]) ).
cnf(i_0_1935,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1936,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1705983821_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,X3)) ),
inference(rename_variables,[],[i_0_1285]) ).
cnf(i_0_1937,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_187965177_pname(X1,bot_bo535777328l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286]) ).
cnf(i_0_1938,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1939,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_187965177_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f166538662l_bool(finite464017571e_bool,X3)) ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1940,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,bot_bo1649642514l_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287]) ).
cnf(i_0_1941,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1942,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)) ),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1943,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289]) ).
cnf(i_0_1944,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1945,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))
| hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)) ),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1946,plain,
hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_p442853985e_bool(X1,X2)),X3)),image_70449425e_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X4)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291]) ).
cnf(i_0_1947,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1948,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X3),image_70449425e_bool(X4,X2)))
| X3 != hAPP_p442853985e_bool(X4,X1) ),
inference(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1949,plain,
hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_p61793385e_bool(X1,X2)),X3)),image_47868345e_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X4)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293]) ).
cnf(i_0_1950,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1951,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X3),image_47868345e_bool(X4,X2)))
| X3 != hAPP_p61793385e_bool(X4,X1) ),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1952,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_f888949707_state(X1,X2)),X3)),image_516545147_state(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X4)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294]) ).
cnf(i_0_1953,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1954,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),image_516545147_state(X4,X2)))
| X3 != hAPP_f888949707_state(X4,X1) ),
inference(rename_variables,[],[i_0_1294]) ).
cnf(i_0_1955,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_f1387463497_state(X1,X2)),X3)),image_18964633_state(X1,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X4))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295]) ).
cnf(i_0_1956,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1957,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X3),image_18964633_state(X4,X2)))
| X3 != hAPP_f1387463497_state(X4,X1) ),
inference(rename_variables,[],[i_0_1295]) ).
cnf(i_0_1958,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_f560369737_pname(X1,X2)),X3)),image_187965177_pname(X1,cOMBS_2066081387l_bool(cOMBB_1585081418e_bool(fdisj,hAPP_f72706945l_bool(cOMBC_449066458l_bool(fequal1311889615e_bool),X2)),hAPP_f1201187855l_bool(cOMBC_1114453604l_bool(member2114907555e_bool),X4))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298]) ).
cnf(i_0_1959,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1960,plain,
( ~ hBOOL(hAPP_f166538662l_bool(hAPP_f210337421l_bool(member2114907555e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),image_187965177_pname(X4,X2)))
| X3 != hAPP_f560369737_pname(X4,X1) ),
inference(rename_variables,[],[i_0_1298]) ).
cnf(i_0_1961,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_f1297739591_pname(X1,X2)),X3)),image_1283814551_pname(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X4)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299]) ).
cnf(i_0_1962,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1963,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),image_1283814551_pname(X4,X2)))
| X3 != hAPP_f1297739591_pname(X4,X1) ),
inference(rename_variables,[],[i_0_1299]) ).
cnf(i_0_1964,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_pname_pname(X1,X2)),X3)),image_pname_pname(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X4)))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301]) ).
cnf(i_0_1965,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1966,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),image_pname_pname(X4,X2)))
| X3 != hAPP_pname_pname(X4,X1) ),
inference(rename_variables,[],[i_0_1301]) ).
cnf(i_0_1967,plain,
collec1613912337l_bool(finite595471783e_bool) != bot_bo1537088220l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1782,i_0_1750,i_0_1755,i_0_1625,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489]) ).
cnf(i_0_1968,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
| collec1613912337l_bool(X1) != bot_bo1537088220l_bool
| ~ is_fun1661590463l_bool(X2) ),
inference(rename_variables,[],[i_0_1489]) ).
cnf(i_0_1969,plain,
collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,bot_bo844097828e_bool)) != bot_bo1649642514l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1782,i_0_1750,i_0_1755,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490]) ).
cnf(i_0_1970,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1779]) ).
cnf(i_0_1971,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| collec1974731493e_bool(X1) != bot_bo1649642514l_bool
| ~ is_fun_pname_bool(X2) ),
inference(rename_variables,[],[i_0_1490]) ).
cnf(i_0_1972,plain,
collect_pname(hAPP_p61793385e_bool(fequal_pname,pn)) != bot_bo844097828e_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1782,i_0_1783,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491]) ).
cnf(i_0_1973,plain,
hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)),
inference(rename_variables,[],[i_0_1783]) ).
cnf(i_0_1974,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| collect_pname(X1) != bot_bo844097828e_bool
| ~ is_pname(X2) ),
inference(rename_variables,[],[i_0_1491]) ).
cnf(i_0_1975,plain,
bot_bo1537088220l_bool != collec1613912337l_bool(finite595471783e_bool),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1782,i_0_1783,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492]) ).
cnf(i_0_1976,plain,
( ~ hBOOL(hAPP_f1935102916l_bool(X1,X2))
| bot_bo1537088220l_bool != collec1613912337l_bool(X1)
| ~ is_fun1661590463l_bool(X2) ),
inference(rename_variables,[],[i_0_1492]) ).
cnf(i_0_1977,plain,
bot_bo1649642514l_bool != collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,bot_bo844097828e_bool)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493]) ).
cnf(i_0_1978,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1779]) ).
cnf(i_0_1979,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(X1,X2))
| bot_bo1649642514l_bool != collec1974731493e_bool(X1)
| ~ is_fun_pname_bool(X2) ),
inference(rename_variables,[],[i_0_1493]) ).
cnf(i_0_1980,plain,
bot_bo844097828e_bool != collect_pname(hAPP_p61793385e_bool(fequal_pname,pn)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494]) ).
cnf(i_0_1981,plain,
hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)),
inference(rename_variables,[],[i_0_1783]) ).
cnf(i_0_1982,plain,
( ~ hBOOL(hAPP_pname_bool(X1,X2))
| bot_bo844097828e_bool != collect_pname(X1)
| ~ is_pname(X2) ),
inference(rename_variables,[],[i_0_1494]) ).
cnf(i_0_1983,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(hAPP_f166538662l_bool(cOMBS_1358309691l_bool(X1,X2),X3)),X4) = hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X3),hAPP_f166538662l_bool(X2,X3)),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632]) ).
cnf(i_0_1984,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1985,plain,
is_fun1661590463l_bool(collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739]) ).
cnf(i_0_1986,plain,
is_fun_pname_bool(collect_pname(cOMBK_bool_pname(fFalse))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740]) ).
cnf(i_0_1987,plain,
is_bool(hAPP_bool_bool(hAPP_f2143399574l_bool(X1,X2),hAPP_f166538662l_bool(X3,X2))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741]) ).
cnf(i_0_1988,plain,
is_bool(hAPP_f166538662l_bool(X1,X2)),
inference(rename_variables,[],[i_0_1546]) ).
cnf(i_0_1989,plain,
hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,hAPP_p1422361149_state(cOMBK_367030522_pname(image_2003357581_state(X1,bot_bo844097828e_bool)),X2)),image_2003357581_state(X1,bot_bo844097828e_bool))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268]) ).
cnf(i_0_1990,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1991,plain,
hAPP_p1422361149_state(cOMBK_367030522_pname(X1),X2) = X1,
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1992,plain,
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
| hBOOL(hAPP_f971112728l_bool(hAPP_f72706945l_bool(ord_le1285840794e_bool,X3),image_2003357581_state(X4,X2)))
| X3 != image_2003357581_state(X4,X1)
| ~ is_fun_pname_bool(X1) ),
inference(rename_variables,[],[i_0_1268]) ).
cnf(i_0_1993,plain,
is_pname(esk24_3(hAPP_p1422361149_state(X1,X2),X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250]) ).
cnf(i_0_1994,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
| is_pname(esk24_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_1250]) ).
cnf(i_0_1995,plain,
is_pname(esk21_3(hAPP_p1422361149_state(X1,X2),X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251]) ).
cnf(i_0_1996,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),image_2003357581_state(X2,X3)))
| is_pname(esk21_3(X1,X2,X3)) ),
inference(rename_variables,[],[i_0_1251]) ).
cnf(i_0_1997,plain,
hBOOL(hAPP_H78829294e_bool(image_2003357581_state(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),hAPP_p1422361149_state(X1,X2))),
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251,i_0_1354]) ).
cnf(i_0_1998,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| hBOOL(hAPP_H78829294e_bool(X2,X1)) ),
inference(rename_variables,[],[i_0_1354]) ).
cnf(i_0_1999,plain,
image_2003357581_state(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))) != bot_bo620288102e_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251,i_0_1354,i_0_1405]) ).
cnf(i_0_2000,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hAPP_H30606679l_bool(member1338687867_state,X1),X2))
| X2 != bot_bo620288102e_bool ),
inference(rename_variables,[],[i_0_1405]) ).
cnf(i_0_2001,plain,
collec488126193l_bool(cOMBK_482404831l_bool(fFalse)) = bot_bo1761158942l_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251,i_0_1354,i_0_1405,i_0_1505]) ).
cnf(i_0_2002,plain,
( hBOOL(hAPP_f166538662l_bool(X1,esk2_1(X1)))
| collec488126193l_bool(X1) = bot_bo1761158942l_bool ),
inference(rename_variables,[],[i_0_1505]) ).
cnf(i_0_2003,plain,
collect_pname(bot_bo844097828e_bool) = bot_bo844097828e_bool,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251,i_0_1354,i_0_1405,i_0_1505,i_0_1507]) ).
cnf(i_0_2004,plain,
( hBOOL(hAPP_pname_bool(X1,esk6_1(X1)))
| collect_pname(X1) = bot_bo844097828e_bool ),
inference(rename_variables,[],[i_0_1507]) ).
cnf(i_0_2005,plain,
$false,
inference(scs_inference,[],[i_0_1097,i_0_1776,i_0_1426,i_0_1576,i_0_1577,i_0_1482,i_0_1834,i_0_1837,i_0_1899,i_0_1902,i_0_1905,i_0_1908,i_0_1487,i_0_1885,i_0_1893,i_0_1219,i_0_1320,i_0_1171,i_0_1779,i_0_1970,i_0_1782,i_0_1783,i_0_1973,i_0_1750,i_0_1755,i_0_1620,i_0_1625,i_0_1627,i_0_1546,i_0_1605,i_0_1586,i_0_1917,i_0_1920,i_0_1923,i_0_1947,i_0_1950,i_0_1953,i_0_1956,i_0_1959,i_0_1962,i_0_1965,i_0_1984,i_0_1572,i_0_1573,i_0_1574,i_0_1575,i_0_1578,i_0_1614,i_0_1615,i_0_1616,i_0_1335,i_0_1483,i_0_1914,i_0_1932,i_0_1935,i_0_1938,i_0_1941,i_0_1944,i_0_1488,i_0_1417,i_0_1817,i_0_1201,i_0_1202,i_0_1170,i_0_1232,i_0_1124,i_0_1105,i_0_1348,i_0_1164,i_0_1204,i_0_1205,i_0_1206,i_0_1207,i_0_1208,i_0_1209,i_0_1225,i_0_1237,i_0_1252,i_0_1302,i_0_1303,i_0_1304,i_0_1305,i_0_1306,i_0_1314,i_0_1374,i_0_1499,i_0_1501,i_0_1805,i_0_1224,i_0_1355,i_0_1375,i_0_1402,i_0_1404,i_0_1497,i_0_1500,i_0_1502,i_0_1600,i_0_1601,i_0_1604,i_0_1631,i_0_1323,i_0_1324,i_0_1347,i_0_1803,i_0_1737,i_0_1220,i_0_1223,i_0_1279,i_0_1280,i_0_1281,i_0_1282,i_0_1283,i_0_1288,i_0_1290,i_0_1292,i_0_1300,i_0_1319,i_0_1539,i_0_1284,i_0_1285,i_0_1286,i_0_1287,i_0_1289,i_0_1291,i_0_1293,i_0_1294,i_0_1295,i_0_1298,i_0_1299,i_0_1301,i_0_1489,i_0_1490,i_0_1491,i_0_1492,i_0_1493,i_0_1494,i_0_1632,i_0_1739,i_0_1740,i_0_1741,i_0_1268,i_0_1250,i_0_1251,i_0_1354,i_0_1405,i_0_1505,i_0_1507,i_0_1804]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW474+1 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:57:30 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.85/1.68 % Version : CSE_E---1.7
% 0.85/1.68 % Problem : theBenchmark.p
% 0.85/1.68 % SZS status Theorem for theBenchmark.p
% 0.85/1.68 % SZS output start CNFRefutation
% See solution above
% 2.32/3.14 % Total time : 1.327s
%------------------------------------------------------------------------------